2004, Oxford graduate texts, ISBN 0198530943, 520

For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years,...

Many-body problem | Quantum field theory | Physics

Many-body problem | Quantum field theory | Physics

eBook

1995, ISBN 9789810220273, 468

Book

1996, Mathematics and its applications, ISBN 9780792341581, Volume 376., xii, 461

Book

Journal of High Energy Physics, ISSN 1126-6708, 7/2018, Volume 2018, Issue 7, pp. 1 - 54

We investigate geometric aspects of double field theory (DFT) and its formulation as a doubled membrane sigma-model. Starting from the standard Courant...

String Duality | Topological Field Theories | Quantum Physics | Differential and Algebraic Geometry | Sigma Models | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DUALITY | MANIFOLDS | FORMALISM | QUANTIZATION | FLUXES | STRING THEORY | GEOMETRY | PHYSICS, PARTICLES & FIELDS | String theory | Gauge invariance | Field theory | Deformation mechanisms | Mathematics - Differential Geometry | Symplectic Geometry | Mathematical Physics | Mathematics - Symplectic Geometry | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | High Energy Physics - Theory

String Duality | Topological Field Theories | Quantum Physics | Differential and Algebraic Geometry | Sigma Models | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DUALITY | MANIFOLDS | FORMALISM | QUANTIZATION | FLUXES | STRING THEORY | GEOMETRY | PHYSICS, PARTICLES & FIELDS | String theory | Gauge invariance | Field theory | Deformation mechanisms | Mathematics - Differential Geometry | Symplectic Geometry | Mathematical Physics | Mathematics - Symplectic Geometry | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | High Energy Physics - Theory

Journal Article

2005, Volume 662.

Conference Proceeding

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2017, Volume 50, Issue 44, p. 443001

This is the introductory chapter to this issue. We review the main idea of the localization technique and its brief history both in geometry and in QFT. We...

quantum field theory | diverse dimensions | supersymmetric theories | GAUGE-THEORIES | PHYSICS, MULTIDISCIPLINARY | EQUIVARIANT CO-HOMOLOGY | PHYSICS, MATHEMATICAL | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

quantum field theory | diverse dimensions | supersymmetric theories | GAUGE-THEORIES | PHYSICS, MULTIDISCIPLINARY | EQUIVARIANT CO-HOMOLOGY | PHYSICS, MATHEMATICAL | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

Journal Article

Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 10/2019, Volume 29, Issue 10, p. 103124

Oscillons are time-dependent, localized in space, extremely long-lived states in nonlinear scalar-field models, while kinks are topological solitons in one...

MATHEMATICS, APPLIED | SOLITONS | NONEXISTENCE | TOPOLOGICAL TWISTONS | AMPLITUDE BREATHER SOLUTIONS | INFORMATION | DYNAMICS | PHYSICS, MATHEMATICAL

MATHEMATICS, APPLIED | SOLITONS | NONEXISTENCE | TOPOLOGICAL TWISTONS | AMPLITUDE BREATHER SOLUTIONS | INFORMATION | DYNAMICS | PHYSICS, MATHEMATICAL

Journal Article

Geometry and Topology, ISSN 1465-3060, 06/2018, Volume 22, Issue 5, pp. 2713 - 2756

A once extended d-dimensional topological field theory Z is a symmetric monoidal functor (taking values in a chosen target symmetric monoidal (infinity,...

Invertible | Topological field theory | Dimensional reduction | MATHEMATICS | Mathematics - Algebraic Topology

Invertible | Topological field theory | Dimensional reduction | MATHEMATICS | Mathematics - Algebraic Topology

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 10/2019, Volume 2019, Issue 10, pp. 1 - 36

Entanglement entropy is an important quantity in field theory, but its definition poses some challenges. The naive definition involves an extension of quantum...

Topological Field The-ories | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | Singularities | Mathematical analysis | Yang-Mills theory | Entropy | Field theory | Hilbert space | Entanglement | Linear equations | Topology | Quantum field theory | Quantum theory | Branes

Topological Field The-ories | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | Singularities | Mathematical analysis | Yang-Mills theory | Entropy | Field theory | Hilbert space | Entanglement | Linear equations | Topology | Quantum field theory | Quantum theory | Branes

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2018, Volume 2018, Issue 10, pp. 1 - 14

We present lagrangian gauge theories in 2+1 and 4+1 dimensions with 16 supersymmetries which are invariant under rotations and translations but not boosts. The...

M-Theory | Extended Supersymmetry | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | P-BRANES | INFINITE-MOMENTUM FRAME | PHYSICS, PARTICLES & FIELDS | String theory | Supersymmetry | Topological manifolds | Translations | Branes | Physics - High Energy Physics - Theory

M-Theory | Extended Supersymmetry | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | P-BRANES | INFINITE-MOMENTUM FRAME | PHYSICS, PARTICLES & FIELDS | String theory | Supersymmetry | Topological manifolds | Translations | Branes | Physics - High Energy Physics - Theory

Journal Article

Human Brain Mapping, ISSN 1065-9471, 05/2019, Volume 40, Issue 7, pp. 2052 - 2054

This technical report revisits the analysis of family‐wise error rates in statistical parametric mapping—using random field theory—reported in (Eklund et al....

topological inference | family‐wise error rate | random field theory | statistical parametric mapping | family-wise error rate | EXTENT | CLUSTER-SIZE INFERENCE | NEUROSCIENCES | NEUROIMAGING | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | Neuroimaging | Brain | Neurology | Error analysis | Medical imaging | Image processing | Brain mapping | Mapping | Field theory | Fields (mathematics) | Statistics | Quantum theory | On the Topic of Cluster Failure | Special Section

topological inference | family‐wise error rate | random field theory | statistical parametric mapping | family-wise error rate | EXTENT | CLUSTER-SIZE INFERENCE | NEUROSCIENCES | NEUROIMAGING | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | Neuroimaging | Brain | Neurology | Error analysis | Medical imaging | Image processing | Brain mapping | Mapping | Field theory | Fields (mathematics) | Statistics | Quantum theory | On the Topic of Cluster Failure | Special Section

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 08/2017, Volume 58, Issue 8, p. 1

We consider several diffeomorphism invariant field theories of 2- and 3-forms in six dimensions. They all share the same kinetic term BdC but differ in the...

Gravitation | Topological manifolds | Field theory | Topology | Kinetics | Manifolds (mathematics) | Gravity

Gravitation | Topological manifolds | Field theory | Topology | Kinetics | Manifolds (mathematics) | Gravity

Journal Article

Modern Physics Letters A, ISSN 0217-7323, 04/2017, Volume 32, Issue 12, p. 1750073

In this work, we report a new result that appears when one investigates the route that starts from a scalar field theory and ends on a supersymmetric quantum...

Topological solutions | supersymmetric quantum mechanics | PHYSICS, NUCLEAR | MODELS | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS | Analysis | Quantum theory | Physics - High Energy Physics - Theory

Topological solutions | supersymmetric quantum mechanics | PHYSICS, NUCLEAR | MODELS | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS | Analysis | Quantum theory | Physics - High Energy Physics - Theory

Journal Article

Annals of Physics, ISSN 0003-4916, 2011, Volume 326, Issue 6, pp. 1515 - 1535

► We show that a BF theory is the effective theory of 2D and 3D topological insulators. ► The non-gauge-invariance of the bulk theory yields surface terms for...

Topological insulator | Quantum Hall effect | Bosonization | Chern–Simons theory | Topological phase | Chern-Simons theory | GAUGE-THEORIES | PHYSICS, MULTIDISCIPLINARY | FERMIONS | SUPERCONDUCTORS | EDGE STATES | Theory | Quantum physics | Topology | Integers | Phases | Insulators | Field theory | Two dimensional | Halls | Three dimensional | TOPOLOGY | THREE-DIMENSIONAL CALCULATIONS | PARTICLE PROPERTIES | MAGNETISM | MATHEMATICS | BOSON EXPANSION | ANGULAR MOMENTUM | SYMMETRY BREAKING | MATTER | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | EXCITATION | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | STATISTICS | ELECTRODYNAMICS | ELECTROMAGNETISM | TWO-DIMENSIONAL CALCULATIONS | ENERGY-LEVEL TRANSITIONS | GAUGE INVARIANCE | FIELD THEORIES | SYMMETRY | INVARIANCE PRINCIPLES | HALL EFFECT | SURFACES

Topological insulator | Quantum Hall effect | Bosonization | Chern–Simons theory | Topological phase | Chern-Simons theory | GAUGE-THEORIES | PHYSICS, MULTIDISCIPLINARY | FERMIONS | SUPERCONDUCTORS | EDGE STATES | Theory | Quantum physics | Topology | Integers | Phases | Insulators | Field theory | Two dimensional | Halls | Three dimensional | TOPOLOGY | THREE-DIMENSIONAL CALCULATIONS | PARTICLE PROPERTIES | MAGNETISM | MATHEMATICS | BOSON EXPANSION | ANGULAR MOMENTUM | SYMMETRY BREAKING | MATTER | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | EXCITATION | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | STATISTICS | ELECTRODYNAMICS | ELECTROMAGNETISM | TWO-DIMENSIONAL CALCULATIONS | ENERGY-LEVEL TRANSITIONS | GAUGE INVARIANCE | FIELD THEORIES | SYMMETRY | INVARIANCE PRINCIPLES | HALL EFFECT | SURFACES

Journal Article

2012, Volume 584

Conference Proceeding

16.
Full Text
Equivariant topological quantum field theory and symmetry protected topological phases

Journal of High Energy Physics, ISSN 1126-6708, 3/2017, Volume 2017, Issue 3, pp. 1 - 20

Short-Range Entangled topological phases of matter are closely related to Topological Quantum Field Theory. We use this connection to classify Symmetry...

Discrete Symmetries | Topological Field Theories | Quantum Physics | Quantum Field Theories, String Theory | Topological States of Matter | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Leaves of absence | Phases | Classification | Homology | Topology | Proposals | Joints | Quantum theory | Symmetry | Mathematics - Quantum Algebra | Nuclear and High Energy Physics | Condensed Matter - Strongly Correlated Electrons | K-Theory and Homology | Algebraic Topology | Geometric Topology | Mathematics | High Energy Physics - Theory

Discrete Symmetries | Topological Field Theories | Quantum Physics | Quantum Field Theories, String Theory | Topological States of Matter | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Leaves of absence | Phases | Classification | Homology | Topology | Proposals | Joints | Quantum theory | Symmetry | Mathematics - Quantum Algebra | Nuclear and High Energy Physics | Condensed Matter - Strongly Correlated Electrons | K-Theory and Homology | Algebraic Topology | Geometric Topology | Mathematics | High Energy Physics - Theory

Journal Article

JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 12/2015, Issue 12

We study the partition function N = 1 5D U( N) gauge theory with g adjoint hypermultiplets and show that for massless adjoint hypermultiplets it is equal to...

Topological Strings | Supersymmetric gauge theory | Topological Field Theories | PHYSICS, PARTICLES & FIELDS

Topological Strings | Supersymmetric gauge theory | Topological Field Theories | PHYSICS, PARTICLES & FIELDS

Journal Article

Annalen der Physik, ISSN 0003-3804, 12/2017, Volume 529, Issue 12, pp. 1700123 - n/a

It is well known that dynamical systems may be employed as computing machines. However, not all dynamical systems offer particular advantages compared to the...

instantons | dynamical systems | topological field theory | SUPERSYMMETRY | PHYSICS, MULTIDISCIPLINARY | ANYONS | DIFFERENTIAL-EQUATIONS | QUANTUM COMPUTATION | Machinery | Analysis | Magneto-electric machines | Supersymmetry | Functional analysis | Boolean algebra | Dynamical systems | Instantons | Computer memory | Logic circuits | Chaos theory | Field theory | Software | Computational efficiency | Nonlinear systems | Long range order | System effectiveness

instantons | dynamical systems | topological field theory | SUPERSYMMETRY | PHYSICS, MULTIDISCIPLINARY | ANYONS | DIFFERENTIAL-EQUATIONS | QUANTUM COMPUTATION | Machinery | Analysis | Magneto-electric machines | Supersymmetry | Functional analysis | Boolean algebra | Dynamical systems | Instantons | Computer memory | Logic circuits | Chaos theory | Field theory | Software | Computational efficiency | Nonlinear systems | Long range order | System effectiveness

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 08/2019, Volume 369, Issue 3, pp. 1055 - 1089

We discuss a generalization of Chern-Simons theory in three dimensions based on Leibniz (or Loday) algebras, which are generalizations of Lie algebras. Special...

PHYSICS, MATHEMATICAL | SUPERGRAVITY | Algebra

PHYSICS, MATHEMATICAL | SUPERGRAVITY | Algebra

Journal Article

JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 05/2019, Volume 2019, Issue 5, pp. 1 - 33

We study the high-temperature phase of compact U(1) gauge theory in 2 + 1 dimensions, comparing the results of lattice calculations with analytical predictions...

TOPOLOGICAL EXCITATIONS | RENORMALIZATION-GROUP | YANG-MILLS THEORY | STRING TENSION | COULOMB GAS | Duality in Gauge Field Theories | Lattice Quantum Field Theory | KOSTERLITZ-THOULESS TRANSITION | FINITE-TEMPERATURE BEHAVIOR | Conformal Field Theory | Field Theories in Lower Dimensions | CHIRAL-SYMMETRY-BREAKING | MONTE-CARLO-SIMULATION | LONG-RANGE ORDER | PHYSICS, PARTICLES & FIELDS | Field theory | Gauge theory | High temperature | Mathematical analysis | Predictions

TOPOLOGICAL EXCITATIONS | RENORMALIZATION-GROUP | YANG-MILLS THEORY | STRING TENSION | COULOMB GAS | Duality in Gauge Field Theories | Lattice Quantum Field Theory | KOSTERLITZ-THOULESS TRANSITION | FINITE-TEMPERATURE BEHAVIOR | Conformal Field Theory | Field Theories in Lower Dimensions | CHIRAL-SYMMETRY-BREAKING | MONTE-CARLO-SIMULATION | LONG-RANGE ORDER | PHYSICS, PARTICLES & FIELDS | Field theory | Gauge theory | High temperature | Mathematical analysis | Predictions

Journal Article

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