Vertex algebras, mirror symmetry, and D-branes: the case of complex tori

DOI10.1007/s00220-002-0755-7zbMath1051.17017arXivhep-th/0010293OpenAlexW3098173905MaRDI QIDQ1871836

Anton Kapustin, Dmitri O. Orlov

Publication date: 4 May 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0010293

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Relationships between surfaces, higher-dimensional varieties, and physics (14J81)

Related Items (31)

Algebraic methods for vector bundles on non-Kähler elliptic fibrations ⋮ Jacobi identity for vertex algebras in higher dimensions ⋮ Hamiltonian perspective on generalized complex structure ⋮ Homological mirror symmetry for punctured spheres ⋮ Vector bundles on non-Kaehler elliptic principal bundles ⋮ T-duality with \(H\)-flux: non-commutativity, T-folds and \(G\times G\) structure ⋮ Mirror symmetry in two steps: A--I--B ⋮ A twist in the \(M_{24}\) moonshine story ⋮ Self-dual vertex operator superalgebras and superconformal field theory ⋮ Remarks on A-branes, mirror symmetry, and the Fukaya category ⋮ Complex multiplication, rationality and mirror symmetry for abelian varieties ⋮ Vertex Algebras and Renormalization ⋮ Full field algebras ⋮ Modular invariance for conformal full field algebras ⋮ GENERALIZED CALABI–YAU STRUCTURES, K3 SURFACES, AND B-FIELDS ⋮ Homological mirror symmetry for the 4-torus ⋮ Mirror symmetry and generalized complex manifolds. I: The transform on vector bundles, spinors, and branes ⋮ Chiral rings of vertex algebras of mirror symmetry ⋮ Some navigation rules for D-brane monodromy ⋮ D-branes, categories and N=1 supersymmetry ⋮ TOPOLOGICAL STRINGS ON NONCOMMUTATIVE MANIFOLDS ⋮ Branes at angles, torons, stability and supersymmetry ⋮ Geometry of D-branes for general \(N=(2,2)\) sigma models ⋮ Super-moonshine for Conway's largest sporadic group ⋮ T-duality and the exotic chiral de Rham complex ⋮ Twisted chiral de Rham complex, generalized geometry, and T-duality ⋮ A higher-dimensional generalization of the notion of vertex algebra. ⋮ D-BRANE CATEGORIES ⋮ Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges ⋮ Mirror symmetric SU(3)-structure manifolds with NS fluxes ⋮ Generalized complex manifolds and supersymmetry

This page was built for publication: Vertex algebras, mirror symmetry, and D-branes: the case of complex tori