09/2017, 294

This volume is an outcome of the International conference held in Tata Institute of Fundamental Research and the University of Hyderabad. There are fifteen...

Several Complex Variables and Analytic Spaces | Algebraic Geometry | Commutative Rings and Algebras | Associative Rings and Algebras | Mathematics

Several Complex Variables and Analytic Spaces | Algebraic Geometry | Commutative Rings and Algebras | Associative Rings and Algebras | Mathematics

eBook

Journal of High Energy Physics, ISSN 1126-6708, 12/2003, Volume 2003, Issue 12, pp. 005 - 158

We study topological D-branes of type B in N = 2 Landau-Ginzburg models, focusing on the case where all vacua have a mass gap. In general, tree-level...

Topological Field Theories | Differential and Algebraic Geometry | D-branes | differential and algebraic geometry | SUPERSYMMETRY | SIGMA-MODELS | topological field theories | FERMIONS | PHYSICS, PARTICLES & FIELDS

Topological Field Theories | Differential and Algebraic Geometry | D-branes | differential and algebraic geometry | SUPERSYMMETRY | SIGMA-MODELS | topological field theories | FERMIONS | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of Differential Geometry, ISSN 0022-040X, 10/2017, Volume 107, Issue 2, pp. 327 - 371

We study Gromov-Hausdorff limits of Kahler-Einstein manifolds, in particular, their singularities, and connections with algebraic geometry. This is a...

MATHEMATICS | 2-PI | SINGULARITIES | SPACES | METRICS | SASAKI-EINSTEIN MANIFOLDS | RICCI CURVATURE | CONJECTURE

MATHEMATICS | 2-PI | SINGULARITIES | SPACES | METRICS | SASAKI-EINSTEIN MANIFOLDS | RICCI CURVATURE | CONJECTURE

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 3/2018, Volume 2018, Issue 3, pp. 1 - 40

In this paper and upcoming ones, we initiate a systematic study of Bethe ansatz equations for integrable models by modern computational algebraic geometry. We...

Lattice Integrable Models | Quantum Physics | Differential and Algebraic Geometry | Bethe Ansatz | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | CHAIN | QUANTUM-SYSTEMS | EQUATIONS | ROOTS | GROBNER BASES | COMPLETENESS | MODEL | FINITE-TEMPERATURE | PHYSICS, PARTICLES & FIELDS | Geometry | Solution space | Algebra | Yang-Mills theory | Mathematical models | Sum rules | Matrix methods

Lattice Integrable Models | Quantum Physics | Differential and Algebraic Geometry | Bethe Ansatz | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | CHAIN | QUANTUM-SYSTEMS | EQUATIONS | ROOTS | GROBNER BASES | COMPLETENESS | MODEL | FINITE-TEMPERATURE | PHYSICS, PARTICLES & FIELDS | Geometry | Solution space | Algebra | Yang-Mills theory | Mathematical models | Sum rules | Matrix methods

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 03/2019, Volume 2019, Issue 3, pp. 1 - 47

We develop an efficient method to compute the torus partition function of the six-vertex model exactly for finite lattice size. The method is based on the...

Lattice Integrable Models | Differential and Algebraic Geometry | Bethe Ansatz | FUNCTION ZEROS | TRANSFER-MATRICES | ANTIFERROMAGNETIC POTTS MODELS | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Models | Toruses | Partitions | Solution space | Algebra | Numerical methods | Partitions (mathematics) | Mathematical models | Computing time

Lattice Integrable Models | Differential and Algebraic Geometry | Bethe Ansatz | FUNCTION ZEROS | TRANSFER-MATRICES | ANTIFERROMAGNETIC POTTS MODELS | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Models | Toruses | Partitions | Solution space | Algebra | Numerical methods | Partitions (mathematics) | Mathematical models | Computing time

Journal Article

Physical Review D, ISSN 2470-0010, 02/2016, Volume 93, Issue 4

We show that the integration-by-parts reductions of various two-loop integral topologies can be efficiently obtained by applying unitarity cuts to a specific...

DIFFERENTIAL-EQUATIONS | C++ | FEYNMAN | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Reduction | Gravitation | Algebra | Integrals | Mathematical analysis | Cosmology | Polynomials | Topology

DIFFERENTIAL-EQUATIONS | C++ | FEYNMAN | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Reduction | Gravitation | Algebra | Integrals | Mathematical analysis | Cosmology | Polynomials | Topology

Journal Article

ISSN 1029-8479, 10/2017

Abstract In this paper and upcoming ones, we initiate a systematic study of Bethe ansatz equations for integrable models by modern computational algebraic...

Lattice Integrable Models | Mathematical Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Bethe Ansatz; Differential and Algebraic Geometry; Lattice Integrable Models | Differential and Algebraic Geometry | Nonlinear Sciences | Bethe Ansatz | Exactly Solvable and Integrable Systems | High Energy Physics - Theory | Nonlinear Sciences - Exactly Solvable and Integrable Systems

Lattice Integrable Models | Mathematical Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Bethe Ansatz; Differential and Algebraic Geometry; Lattice Integrable Models | Differential and Algebraic Geometry | Nonlinear Sciences | Bethe Ansatz | Exactly Solvable and Integrable Systems | High Energy Physics - Theory | Nonlinear Sciences - Exactly Solvable and Integrable Systems

Journal Article

2017, Mathematical surveys and monographs, ISBN 1470435691, Volume 221, 2 volumes

Book

Journal of High Energy Physics, ISSN 1126-6708, 02/2014, Volume 2014, Issue 2

Journal Article

06/2012

We prove a general result about the geometry of holomorphic line bundles over Kahler manifolds.

Journal Article

2015, Mathematical sciences research institute publications, ISBN 9781107065628, Volume 67, 68., 2 v.

Book

2002, Oxford graduate texts in mathematics, ISBN 0198502842, Volume 6, xv, 576

This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic...

Arithmetical algebraic geometry | Curves, Algebraic | Curves | Geometry, Algebraic

Arithmetical algebraic geometry | Curves, Algebraic | Curves | Geometry, Algebraic

Book

Journal of High Energy Physics, ISSN 1126-6708, 04/2016, Volume 2016, Issue 4

Journal Article

2011, ISBN 981434334X, x, 143

Book

Journal of High Energy Physics, ISSN 1126-6708, 03/2009, Volume 2009, Issue 3, pp. 094 - 94

In this article, we define a non-commutative deformation of the "symplectic invariants" (introduced in [13]) of an algebraic hyperelliptic plane curve. The...

Differential and algebraic geometry | Matrix models | Matrix Models | Differential and Algebraic Geometry | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Mathematics

Differential and algebraic geometry | Matrix models | Matrix Models | Differential and Algebraic Geometry | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Mathematics

Journal Article

JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 03/2014, Issue 3

We reformulate eleven-dimensional supergravity, including fermions, in terms of generalised geometry, for spacetimes that are warped products of Minkowski...

HIDDEN SYMMETRIES | Supergravity Models | DUALITY ROTATIONS | M-Theory | Flux compactifications | E-11 | Differential and Algebraic Geometry | PHYSICS, PARTICLES & FIELDS

HIDDEN SYMMETRIES | Supergravity Models | DUALITY ROTATIONS | M-Theory | Flux compactifications | E-11 | Differential and Algebraic Geometry | PHYSICS, PARTICLES & FIELDS

Journal Article

JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 08/2019, Issue 8

In a remarkable recent work [1], the amplituhedron program was extended to the realm of non-supersymmetric scattering amplitudes. In particular it was shown...

Scattering Amplitudes | Differential and Algebraic Geometry | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Scattering Amplitudes | Differential and Algebraic Geometry | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 04/2016, Volume 2016, Issue 4

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 3/2014, Volume 2014, Issue 3, pp. 1 - 46

We reformulate eleven-dimensional supergravity, including fermions, in terms of generalised geometry, for spacetimes that are warped products of Minkowski...

Supergravity Models | M-Theory | Flux compactifications | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Nuclear and High Energy Physics

Supergravity Models | M-Theory | Flux compactifications | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Nuclear and High Energy Physics

Journal Article

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