Journal of High Energy Physics, ISSN 1126-6708, 5/2013, Volume 2013, Issue 5, pp. 1 - 23

We show that in many cases nontrivial and complicated supersymmetric quantum mechanical (SQM) models can be obtained from the simple model describing free...

Extended Supersymmetry | Field Theories in Lower Dimensions | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MANIFOLDS | INDEX THEOREM | PHYSICS, PARTICLES & FIELDS | Analysis | Zoos | Supersymmetry | Reduction | Similarity | Dynamics | Quantum mechanics | Flats | Mathematical models | Transformations | Mathematics | Mathematical Physics | High Energy Physics - Theory

Extended Supersymmetry | Field Theories in Lower Dimensions | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MANIFOLDS | INDEX THEOREM | PHYSICS, PARTICLES & FIELDS | Analysis | Zoos | Supersymmetry | Reduction | Similarity | Dynamics | Quantum mechanics | Flats | Mathematical models | Transformations | Mathematics | Mathematical Physics | High Energy Physics - Theory

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 06/2014, Volume 883, Issue 1, pp. 149 - 172

We calculate the Witten index for 3d supersymmetric Yang–Mills–Chern–Simons theories with matter. For N=2 theories, our results coincide with the results of...

SUPERSYMMETRIC GAUGE-THEORIES | BREAKING | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | High Energy Physics | Nuclear and High Energy Physics | Theory | High Energy Physics - Theory | Computer Science | Digital Libraries

SUPERSYMMETRIC GAUGE-THEORIES | BREAKING | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | High Energy Physics | Nuclear and High Energy Physics | Theory | High Energy Physics - Theory | Computer Science | Digital Libraries

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 5/2012, Volume 2012, Issue 5, pp. 1 - 28

The problem of counting the vacuum states in the supersymmetric 3d Yang- Mills-Chern-Simons theory is reconsidered. We resolve the controversy between its...

Chern- Simons Theories | Supersymmetric gauge theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Chern- Simons theories | Field theories in lower dimensions | GAUGE-THEORIES | MECHANICS | STATES | FIELD | Chern-Simons Theories | PHYSICS, PARTICLES & FIELDS | Mathematics | Mathematical Physics | High Energy Physics - Theory

Chern- Simons Theories | Supersymmetric gauge theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Chern- Simons theories | Field theories in lower dimensions | GAUGE-THEORIES | MECHANICS | STATES | FIELD | Chern-Simons Theories | PHYSICS, PARTICLES & FIELDS | Mathematics | Mathematical Physics | High Energy Physics - Theory

Journal Article

Physics Letters B, ISSN 0370-2693, 01/2006, Volume 632, Issue 2-3, pp. 433 - 438

We present an example of the quantum system with higher derivatives in the Lagrangian, which is ghost-free: the spectrum of the Hamiltonian is bounded from...

PHYSICS, NUCLEAR | 6 DIMENSIONS | QUANTUM-GRAVITY | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Leaves of absence | Physics - High Energy Physics - Theory | High Energy Physics - Theory | Physics

PHYSICS, NUCLEAR | 6 DIMENSIONS | QUANTUM-GRAVITY | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Leaves of absence | Physics - High Energy Physics - Theory | High Energy Physics - Theory | Physics

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 9/2014, Volume 2014, Issue 9, pp. 1 - 29

We discuss generalized Dirac strings associated with a given Lie group. They live on C r (r being the rank of the group). Such strings show up in the effective...

Supersymmetric Effective Theories | Supersymmetric gauge theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ChernSimons Theories | INTEGRALS | GAUGE-THEORIES | FIELD | Chern-Simons Theories | SUPERSYMMETRY BREAKING | PHYSICS, PARTICLES & FIELDS | Mathematics | Mathematical Physics | High Energy Physics - Theory | High Energy Physics | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph] | Nuclear and High Energy Physics | Theory | [ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] | [ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]

Supersymmetric Effective Theories | Supersymmetric gauge theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ChernSimons Theories | INTEGRALS | GAUGE-THEORIES | FIELD | Chern-Simons Theories | SUPERSYMMETRY BREAKING | PHYSICS, PARTICLES & FIELDS | Mathematics | Mathematical Physics | High Energy Physics - Theory | High Energy Physics | [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph] | Nuclear and High Energy Physics | Theory | [ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] | [ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 02/2014, Volume 47, Issue 5, pp. 52001 - 7

We construct a supersymmetric (1+1)-dimensional field theory involving extra derivatives and associated ghosts: the spectrum of the Hamiltonian is not bounded...

ghosts | supersymmetry | unitarity | BREAKING | PHYSICS, MULTIDISCIPLINARY | N=8 SUPERGRAVITY | PHYSICS, MATHEMATICAL | QUANTUM-GRAVITY | Collapse | Ghosts | Supersymmetry | Construction | Mathematical analysis | Field theory | Derivatives | General Relativity and Quantum Cosmology | High Energy Physics - Theory | Physics

ghosts | supersymmetry | unitarity | BREAKING | PHYSICS, MULTIDISCIPLINARY | N=8 SUPERGRAVITY | PHYSICS, MATHEMATICAL | QUANTUM-GRAVITY | Collapse | Ghosts | Supersymmetry | Construction | Mathematical analysis | Field theory | Derivatives | General Relativity and Quantum Cosmology | High Energy Physics - Theory | Physics

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2009, Volume 818, Issue 1, pp. 101 - 114

We present arguments that the structure of the spectrum of the supersymmetric matrix model with 16 real supercharges in the large N limit is rather nontrivial,...

CONSTRAINTS | THRESHOLD | BOUND-STATES | QUANTUM-MECHANICS | ENTROPY | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Leaves of absence | Physics - High Energy Physics - Theory | High Energy Physics - Theory | Physics

CONSTRAINTS | THRESHOLD | BOUND-STATES | QUANTUM-MECHANICS | ENTROPY | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Leaves of absence | Physics - High Energy Physics - Theory | High Energy Physics - Theory | Physics

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 01/2012, Volume 53, Issue 12

We construct explicitly classical and quantum supercharges satisfying the standard ${\cal N} = 4$N=4 supersymmetry algebra in the supersymmetric sigma models...

Construction standards | Manifolds | Supersymmetry | Algebra | Equivalence | Mathematical models | Torsion | Standards | SIGMA MODEL | AXIOMATIC FIELD THEORY | SUPERSYMMETRY | NONLINEAR PROBLEMS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | TORSION | MATHEMATICAL METHODS AND COMPUTING

Construction standards | Manifolds | Supersymmetry | Algebra | Equivalence | Mathematical models | Torsion | Standards | SIGMA MODEL | AXIOMATIC FIELD THEORY | SUPERSYMMETRY | NONLINEAR PROBLEMS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | TORSION | MATHEMATICAL METHODS AND COMPUTING

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 12/2012, Volume 53, Issue 12, p. 122105

We construct explicitly classical and quantum supercharges satisfying the standard ${\cal N} = 4$ N = 4 supersymmetry algebra in the supersymmetric sigma...

MANIFOLDS | INDEX THEOREM | PHYSICS, MATHEMATICAL | SPACES | Mathematics | Mathematical Physics | High Energy Physics - Theory | Physics

MANIFOLDS | INDEX THEOREM | PHYSICS, MATHEMATICAL | SPACES | Mathematics | Mathematical Physics | High Energy Physics - Theory | Physics

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2005, Volume 706, Issue 3, pp. 598 - 614

Interacting theories with higher-derivatives involve ghosts. They correspond to instabilities that display themselves at the classical level. We notice that...

QUANTUM-GRAVITY | SUPERGRAVITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | High Energy Physics - Theory | Physics

QUANTUM-GRAVITY | SUPERGRAVITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | High Energy Physics - Theory | Physics

Journal Article

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 2009, Volume 5, p. 017

We discuss the quantum dynamics of the PU oscillator, i.e. the system with the Lagrangian L = 1/2 [q(2) - (Omega(2)(1) + Omega(2)(2))(q)over dot(2)...

Higher derivatives | Ghosts | Unitarity | higher derivatives | ghosts | HERMITIAN OPERATORS | REGGEON FIELD-THEORY | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL | unitarity

Higher derivatives | Ghosts | Unitarity | higher derivatives | ghosts | HERMITIAN OPERATORS | REGGEON FIELD-THEORY | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL | unitarity

Journal Article

Physics Letters B, ISSN 0370-2693, 05/2010, Volume 689, Issue 2-3, pp. 95 - 100

We observe that the Hamiltonian H=D̸2, where D̸ is the flat 4d Dirac operator in a self-dual gauge background, is supersymmetric, admitting 4 different real...

Extended supersymmetry | Self-duality | Harmonic superspace | ATIYAH-SINGER INDEX | PHYSICS, MULTIDISCIPLINARY | Manifolds | Supersymmetry | Operators | Elementary particles | Images | Gages | Curved | Gauges | Physics - High Energy Physics - Theory | Nuclear Theory | Physics

Extended supersymmetry | Self-duality | Harmonic superspace | ATIYAH-SINGER INDEX | PHYSICS, MULTIDISCIPLINARY | Manifolds | Supersymmetry | Operators | Elementary particles | Images | Gages | Curved | Gauges | Physics - High Energy Physics - Theory | Nuclear Theory | Physics

Journal Article

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, ISSN 1815-0659, 2011, Volume 7

S-4 is not a complex manifold, but it is sufficient to remove one point to make it complex. Using supersymmetry methods, we show that the Dolbeault complex...

SPACE | supersymmetry | ATIYAH-SINGER INDEX | Dolbeault | PHYSICS, MATHEMATICAL

SPACE | supersymmetry | ATIYAH-SINGER INDEX | Dolbeault | PHYSICS, MATHEMATICAL

Journal Article

Physics-Uspekhi, ISSN 1063-7869, 07/2009, Volume 52, Issue 7, pp. 659 - 685

We review the problem of evaluating the energy loss of an ultrarelativistic charged particle crossing a thermally equilibrated high-temperature e(+)e(-) or...

QUARKS | HADRONIZATION | PARTICLES | PHYSICS, MULTIDISCIPLINARY | SCATTERING | BREMSSTRAHLUNG

QUARKS | HADRONIZATION | PARTICLES | PHYSICS, MULTIDISCIPLINARY | SCATTERING | BREMSSTRAHLUNG

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 04/2012, Volume 53, Issue 4, pp. 042103 - 042103-8

We consider the Dirac operator on S 2 without one point in the case of non-integer magnetic flux. We show that the spectral problem for...

PT-SYMMETRY | PARTICLE | REGGEON FIELD-THEORY | INDEX | PHYSICS, MATHEMATICAL | NON-HERMITIAN HAMILTONIANS | PSEUDO-HERMITICITY | Supersymmetry | Mathematical analysis | Flux | Hilbert space | Wave functions | Spectra | Fluxes | Invariants

PT-SYMMETRY | PARTICLE | REGGEON FIELD-THEORY | INDEX | PHYSICS, MATHEMATICAL | NON-HERMITIAN HAMILTONIANS | PSEUDO-HERMITICITY | Supersymmetry | Mathematical analysis | Flux | Hilbert space | Wave functions | Spectra | Fluxes | Invariants

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2010, Volume 2010, Issue 1, pp. 1 - 36

We have performed a direct calculation of Witten index I in $ \mathcal{N} = 1,2,3 $ supersymmetric Yang-Mills Chern-Simons (SYMCS) 3d theories. We do it in the...

Supersymmetric gauge theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Field theories in lower dimensions | BREAKING | FIELD | DOMAIN-WALLS | LIMIT | MONOPOLES | GAUGE-THEORIES | QCD | OPERATOR | QUANTIZATION | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | High Energy Physics - Theory

Supersymmetric gauge theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Field theories in lower dimensions | BREAKING | FIELD | DOMAIN-WALLS | LIMIT | MONOPOLES | GAUGE-THEORIES | QCD | OPERATOR | QUANTIZATION | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | High Energy Physics - Theory

Journal Article

Physics-Uspekhi, ISSN 1063-7869, 2014, Volume 57, Issue 2, pp. 155 - 166

Based on a talk given at the Pomeranchuk memorial conference at FITT in June 2013, we review the vacuum dynamics in 3d supersymmetric Yang-Mills-Chern-Simons...

DIMENSIONS | BREAKING | N=1 | PHYSICS, MULTIDISCIPLINARY | CHERN-SIMONS THEORIES | Supersymmetry | Gauge theory | Memorials | Conferences | Dynamics | Mathematical analysis | Three dimensional | Physics - High Energy Physics - Theory | High Energy Physics - Theory | Physics

DIMENSIONS | BREAKING | N=1 | PHYSICS, MULTIDISCIPLINARY | CHERN-SIMONS THEORIES | Supersymmetry | Gauge theory | Memorials | Conferences | Dynamics | Mathematical analysis | Three dimensional | Physics - High Energy Physics - Theory | High Energy Physics - Theory | Physics

Journal Article

Physics Letters B, ISSN 0370-2693, 04/2007, Volume 647, Issue 4, pp. 298 - 304

We show that the recently constructed higher-derivative 6D SYM theory involves internal chiral anomaly breaking gauge invariance. The anomaly is cancelled when...

PHYSICS, NUCLEAR | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

PHYSICS, NUCLEAR | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 03/2009, Volume 42, Issue 9, pp. 095301 - 095301 (9)

We note that when a quantum system involves exceptional points, i.e. the special values of parameters where the Hamiltonian loses its self-adjointness and...

BREAKING | REGGEON FIELD-THEORY | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL

BREAKING | REGGEON FIELD-THEORY | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 10/2012, Volume 27, Issue 25, p. 1230024

We explore a simple ${\mathcal N} = 2$ supersymmetric quantum mechanics (SQM) model describing the motion over complex manifolds in external gauge fields. The...

KAHLER-MANIFOLDS | ELLIPTIC OPERATORS | BREAKING | THEOREM | NONLINEAR SIGMA-MODEL | TORSION | PHYSICS, NUCLEAR | Supersymmetric quantum mechanics | GAUGE-THEORIES | WITTEN INDEX | ATIYAH-SINGER INDEX | BOUND-STATES | Dirac operator | complex geometry | PHYSICS, PARTICLES & FIELDS | Analysis | Quantum theory | High Energy Physics - Phenomenology | Physics

KAHLER-MANIFOLDS | ELLIPTIC OPERATORS | BREAKING | THEOREM | NONLINEAR SIGMA-MODEL | TORSION | PHYSICS, NUCLEAR | Supersymmetric quantum mechanics | GAUGE-THEORIES | WITTEN INDEX | ATIYAH-SINGER INDEX | BOUND-STATES | Dirac operator | complex geometry | PHYSICS, PARTICLES & FIELDS | Analysis | Quantum theory | High Energy Physics - Phenomenology | Physics

Journal Article

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