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Journal of High Energy Physics, ISSN 1126-6708, 5/2013, Volume 2013, Issue 5, pp. 1 - 23
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
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 5/2012, Volume 2012, Issue 5, pp. 1 - 28
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
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
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
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
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
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
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
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
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
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
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
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 1/2010, Volume 2010, Issue 1, pp. 1 - 36
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
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
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
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
Journal Article
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