Transactions of the American Mathematical Society, ISSN 0002-9947, 01/2020, Volume 373, Issue 1, pp. 551 - 596

We prove the existence of an Hermitian-Einstein metric on holomorphic vector bundles with an Hermitian metric satisfying the analytic stability condition, under some assumption for the underlying Kähler manifolds...

MATHEMATICS | HERMITIAN-EINSTEIN METRICS | CYLINDRICAL MANIFOLDS | ALGEBRAIC-SURFACES | STABILITY | NAHM TRANSFORM | CONNECTIONS | YANG-MILLS FIELDS | POISSON EQUATION | SPATIALLY PERIODIC INSTANTONS | VECTOR-BUNDLES

MATHEMATICS | HERMITIAN-EINSTEIN METRICS | CYLINDRICAL MANIFOLDS | ALGEBRAIC-SURFACES | STABILITY | NAHM TRANSFORM | CONNECTIONS | YANG-MILLS FIELDS | POISSON EQUATION | SPATIALLY PERIODIC INSTANTONS | VECTOR-BUNDLES

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 5/2017, Volume 352, Issue 1, pp. 287 - 344

We construct noncommutative principal bundles deforming principal bundles with a Drinfeld twist (2-cocycle...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | ALGEBRAS | QUANTUM GROUPS | SPHERES | INSTANTONS | HOPF GALOIS EXTENSIONS | MANIFOLDS | CONNECTIONS | PHYSICS, MATHEMATICAL | CATEGORIES | GEOMETRY | BIMODULES

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | ALGEBRAS | QUANTUM GROUPS | SPHERES | INSTANTONS | HOPF GALOIS EXTENSIONS | MANIFOLDS | CONNECTIONS | PHYSICS, MATHEMATICAL | CATEGORIES | GEOMETRY | BIMODULES

Journal Article

Journal of algebra, ISSN 0021-8693, 2020, Volume 546, pp. 432 - 456

We study the Ext modules in the category of left modules over a twisted algebra of a finite quiver over a ringed space (X,OX), allowing for the presence of...

Moduli space | Ext groups | Quiver algebras | Quiver representations | MATHEMATICS | REPRESENTATIONS | SPACES | INSTANTONS | VARIETIES | MODULI

Moduli space | Ext groups | Quiver algebras | Quiver representations | MATHEMATICS | REPRESENTATIONS | SPACES | INSTANTONS | VARIETIES | MODULI

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 12/2016, Volume 31, Issue 35, p. 1650188

In this paper, we discuss Bagger–Witten line bundles over moduli spaces of SCFTs...

moduli spaces | superconformal field theory | Bagger-Witten line bundle | STRING COMPACTIFICATIONS | SUPERGRAVITY | ILIOPOULOS D-TERMS | PHYSICS, NUCLEAR | WORLDSHEET INSTANTONS | QUANTIZATION | MIRROR SYMMETRY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

moduli spaces | superconformal field theory | Bagger-Witten line bundle | STRING COMPACTIFICATIONS | SUPERGRAVITY | ILIOPOULOS D-TERMS | PHYSICS, NUCLEAR | WORLDSHEET INSTANTONS | QUANTIZATION | MIRROR SYMMETRY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 11/2016, Volume 2016, Issue 11, pp. 1 - 47

We describe the infinitesimal moduli space of pairs (Y, V) where Y is a manifold with G 2 holonomy, and V is a vector bundle on Y with an instanton connection...

Superstring Vacua | Superstrings and Heterotic Strings | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | G-INSTANTONS | SPACES | DEFORMATIONS | METRICS | EQUATIONS | GEOMETRY | PHYSICS, PARTICLES & FIELDS | Astronomy | Manifolds | Kernels | Mathematical analysis | Texts | Strings | Manifolds (mathematics) | Bundles | Instantons | Subatomic Physics | Mathematics - Differential Geometry | Nuclear and High Energy Physics | Mathematics | [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th] | High Energy Physics - Theory | [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph] | [PHYS]Physics [physics] | Symplectic Geometry | [ PHYS ] Physics [physics] | Subatomär fysik

Superstring Vacua | Superstrings and Heterotic Strings | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | G-INSTANTONS | SPACES | DEFORMATIONS | METRICS | EQUATIONS | GEOMETRY | PHYSICS, PARTICLES & FIELDS | Astronomy | Manifolds | Kernels | Mathematical analysis | Texts | Strings | Manifolds (mathematics) | Bundles | Instantons | Subatomic Physics | Mathematics - Differential Geometry | Nuclear and High Energy Physics | Mathematics | [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th] | High Energy Physics - Theory | [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph] | [PHYS]Physics [physics] | Symplectic Geometry | [ PHYS ] Physics [physics] | Subatomär fysik

Journal Article

Compositio Mathematica, ISSN 0010-437X, 11/2014, Volume 150, Issue 11, pp. 1836 - 1868

A trisymplectic structure on a complex 2n-manifold is a three-dimensional space Q of closed holomorphic forms such that any element of Q has constant rank 2n,...

hyperkähler manifold | spacial holonomy | stable bundle | mathematical instanton | twistor space | hyperkähler reduction | KAHLER-MANIFOLDS | hyperkahler reduction | IRREDUCIBILITY | MODULI SPACES | MATHEMATICS | RANK-2 | P-3 | CONSTRUCTION | hyperkahler manifold | HYPERKAHLER METRICS | SHEAVES | VECTOR-BUNDLES

hyperkähler manifold | spacial holonomy | stable bundle | mathematical instanton | twistor space | hyperkähler reduction | KAHLER-MANIFOLDS | hyperkahler reduction | IRREDUCIBILITY | MODULI SPACES | MATHEMATICS | RANK-2 | P-3 | CONSTRUCTION | hyperkahler manifold | HYPERKAHLER METRICS | SHEAVES | VECTOR-BUNDLES

Journal Article

The Bulletin of the London Mathematical Society, ISSN 0024-6093, 2017, Volume 49, Issue 1, pp. 117 - 132

Motivated by gauge theory under special holonomy, we present techniques to produce holomorphic bundles over certain non‐compact 3...

53C07 (secondary) | 14D21 | 14F05 (primary) | MATHEMATICS | G-MANIFOLDS | MANIFOLDS | TWISTED CONNECTED-SUMS | FANO 3-FOLDS | G-INSTANTONS | Mathematics

53C07 (secondary) | 14D21 | 14F05 (primary) | MATHEMATICS | G-MANIFOLDS | MANIFOLDS | TWISTED CONNECTED-SUMS | FANO 3-FOLDS | G-INSTANTONS | Mathematics

Journal Article

International Mathematics Research Notices, ISSN 1073-7928, 09/2018, Volume 2018, Issue 17, pp. 5347 - 5377

Abstract We give a new method to construct linear spaces of matrices of constant rank, based on truncated graded cohomology modules of certain vector bundles as well as on the existence of graded...

BETTI-NUMBERS | MATHEMATICS | COHOMOLOGY | SPACES | MONADS | INSTANTON BUNDLES | SYMMETRIC-MATRICES | CONSTANT RANK | Algebraic Geometry | Commutative Algebra | Mathematics

BETTI-NUMBERS | MATHEMATICS | COHOMOLOGY | SPACES | MONADS | INSTANTON BUNDLES | SYMMETRIC-MATRICES | CONSTANT RANK | Algebraic Geometry | Commutative Algebra | Mathematics

Journal Article

Bulletin of the Brazilian Mathematical Society, ISSN 1678-7544, 02/2016, pp. 1 - 21

Bull. Brazilian Math. Soc. 47 (2016), 823--843 We provide a description of the moduli space of framed autodual instanton bundles on projective space, focusing on the particular cases of symplectic and orthogonal instantons...

instanton bundles | symplectic and orthogonal bundles | moduli space | Mathematics - Algebraic Geometry

instanton bundles | symplectic and orthogonal bundles | moduli space | Mathematics - Algebraic Geometry

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 12/2013, Volume 74, pp. 36 - 42

We consider a particular class of holomorphic vector bundles relevant for supersymmetric string theory, called omalous, over nonsingular projective varieties...

Monads | Superstring | Bundles | Instantons | Stable bundles | MATHEMATICS | lnstantons | SEMISTABILITY | PHYSICS, MATHEMATICAL

Monads | Superstring | Bundles | Instantons | Stable bundles | MATHEMATICS | lnstantons | SEMISTABILITY | PHYSICS, MATHEMATICAL

Journal Article

Advances in Mathematics, ISSN 0001-8708, 11/2013, Volume 248, pp. 895 - 920

We present a new method to study 4-dimensional linear spaces of skew-symmetric matrices of constant co-rank 2, based on rank 2 vector bundles on P3 and derived category tools...

Skew-symmetric matrices | Constant rank | Instanton bundles | Derived category | MATHEMATICS | MONADS | P-3 | CATEGORIES | SHEAVES | VECTOR-BUNDLES | Algorithms | Algebraic Geometry | Mathematics

Skew-symmetric matrices | Constant rank | Instanton bundles | Derived category | MATHEMATICS | MONADS | P-3 | CATEGORIES | SHEAVES | VECTOR-BUNDLES | Algorithms | Algebraic Geometry | Mathematics

Journal Article

Journal de mathématiques pures et appliquées, ISSN 0021-7824, 07/2014, Volume 102, Issue 1, pp. 124 - 152

...) holomorphic structure on a vector bundle over a complex torus of dimension 4 into a new holomorphic structure over a different complex torus...

[formula omitted]-instanton | Bogomolov inequality | Abelian variety | Stable bundle | Period matrices | Secondary | Spin-instanton | Primary | MATHEMATICS | MATHEMATICS, APPLIED | Equality

[formula omitted]-instanton | Bogomolov inequality | Abelian variety | Stable bundle | Period matrices | Secondary | Spin-instanton | Primary | MATHEMATICS | MATHEMATICS, APPLIED | Equality

Journal Article

Izvestiya. Mathematics, ISSN 1468-4810, 2012, Volume 76, Issue 5, pp. 991 - 1073

The problem of irreducibility of the moduli space I_n of rank-2 mathematical instanton vector bundles with arbitrary positive second Chern class n on the projective 3-space is considered...

Vector bundles | Mathematical instantons | Moduli space | Mathematics - Algebraic Geometry

Vector bundles | Mathematical instantons | Moduli space | Mathematics - Algebraic Geometry

Journal Article

Physics Letters B, ISSN 0370-2693, 07/2004, Volume 593, Issue 1-4, pp. 218 - 226

We construct new complete, compact, inhomogeneous Einstein metrics on Sm+2 sphere bundles over 2n-dimensional Einstein...

INSTANTON | PHYSICS, MULTIDISCIPLINARY

INSTANTON | PHYSICS, MULTIDISCIPLINARY

Journal Article

Central European journal of mathematics, ISSN 1644-3616, 2012, Volume 10, Issue 4, pp. 1198 - 1231

We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines...

Geometry | Instanton bundle | Algebra | 14F05 | Topological Groups, Lie Groups | Probability Theory and Stochastic Processes | Mathematics, general | Fano threefold | Mathematics | 14J60 | Number Theory | MATHEMATICS | CATEGORIES | P2N+1 | QUADRICS | SHEAVES | MODULI | VECTOR-BUNDLES | Mathematics - Algebraic Geometry

Geometry | Instanton bundle | Algebra | 14F05 | Topological Groups, Lie Groups | Probability Theory and Stochastic Processes | Mathematics, general | Fano threefold | Mathematics | 14J60 | Number Theory | MATHEMATICS | CATEGORIES | P2N+1 | QUADRICS | SHEAVES | MODULI | VECTOR-BUNDLES | Mathematics - Algebraic Geometry

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2013, Volume 2013, Issue 10, pp. 1 - 42

We consider heterotic strings on a warped Eguchi-Hanson space with five-brane and line bundle gauge fluxes...

Anomalies in Field and String Theories | Flux compactifications | Superstrings and Heterotic Strings | Quantum Physics | Conformal Field Models in String Theory | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | STRINGS | N=1 | ORBIFOLDS | INSTANTONS | TORSION | MODELS | ANOMALY CANCELLATION | D=6 | PHYSICS, PARTICLES & FIELDS | Mathematical models | Spectra | Fluxes | Strings | Gages | Supergravity | Bundles | Gauges | Physics - High Energy Physics - Theory

Anomalies in Field and String Theories | Flux compactifications | Superstrings and Heterotic Strings | Quantum Physics | Conformal Field Models in String Theory | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | STRINGS | N=1 | ORBIFOLDS | INSTANTONS | TORSION | MODELS | ANOMALY CANCELLATION | D=6 | PHYSICS, PARTICLES & FIELDS | Mathematical models | Spectra | Fluxes | Strings | Gages | Supergravity | Bundles | Gauges | Physics - High Energy Physics - Theory

Journal Article

JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 02/2020, Volume 2020, Issue 2, pp. 1 - 41

..., an important issue. We develop geometric methods to compute the instanton superpotentials for heterotic string theory with monad and extension bundles...

Superstring Vacua | Superstrings and Heterotic Strings | PHYSICS, PARTICLES & FIELDS | Bundling | String theory | Theorems | Topological manifolds | Cases (containers) | Instantons | Bundles

Superstring Vacua | Superstrings and Heterotic Strings | PHYSICS, PARTICLES & FIELDS | Bundling | String theory | Theorems | Topological manifolds | Cases (containers) | Instantons | Bundles

Journal Article

Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, ISSN 0049-4704, 2015, Volume 47, Issue 1, pp. 1 - 9

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 05/2007, Volume 2007, Issue 5, pp. 014 - 14

We extend the T-Duality for gauge theory to that on curved space described as a nontrivial fiber bundle...

D-branes | Solitons monopoles and instantons | String duality | solitons monopoles and instantons | EQUATIONS | string duality | REDUCED MODEL | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

D-branes | Solitons monopoles and instantons | String duality | solitons monopoles and instantons | EQUATIONS | string duality | REDUCED MODEL | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of the European Mathematical Society, ISSN 1435-9855, 2011, Volume 13, Issue 6, pp. 1505 - 1567

We study the geometry of D-bundles-locally projective D-modules-on algebraic curves, and apply them to the study of integrable hierarchies, specifically the multicomponent Kadomtsev-Petviashvili (KP...

MATHEMATICS | MATHEMATICS, APPLIED | HILBERT SCHEMES | CALOGERO-MOSER | RIGHT IDEALS | INSTANTONS | VARIETIES | SYSTEMS | PARTIAL-DIFFERENTIAL OPERATORS | ELLIPTIC SOLUTIONS | CATEGORIES | VECTOR-BUNDLES

MATHEMATICS | MATHEMATICS, APPLIED | HILBERT SCHEMES | CALOGERO-MOSER | RIGHT IDEALS | INSTANTONS | VARIETIES | SYSTEMS | PARTIAL-DIFFERENTIAL OPERATORS | ELLIPTIC SOLUTIONS | CATEGORIES | VECTOR-BUNDLES

Journal Article

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