Quantization via mirror symmetry

DOI10.1007/s11537-011-1033-2zbMath1281.18002arXiv1011.2218OpenAlexW2120082977MaRDI QIDQ1935098

Sergei Gukov

Publication date: 30 January 2013

Published in: Japanese Journal of Mathematics. 3rd Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2218

zbMATH Keywords

Chern-Simons gauge theoryVerlinde formulasymplectic manifoldFukaya categoryprequantum line bundleSYZ fibrationHiggs \(G\)-bundles\((B,B,B)\) branesbrane quantizationHitchin moduli

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Geometry and quantization, symplectic methods (81S10) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Mirror symmetry (algebro-geometric aspects) (14J33) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

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Deformation quantization and superconformal symmetry in three dimensions ⋮ Non-orientable surfaces and electric-magnetic duality ⋮ Chern-Simons theory and S-duality ⋮ Equivariant Verlinde formula from fivebranes and vortices ⋮ Perturbative and nonperturbative aspects of complex Chern–Simons theory ⋮ On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry ⋮ Trisecting non-Lagrangian theories ⋮ Unramified covers and branes on the Hitchin system ⋮ S-duality of boundary conditions and the Geometric Langlands program ⋮ Critical loci for Higgs bundles ⋮ Equivariant Verlinde algebra from superconformal index and Argyres-Seiberg duality ⋮ Argyres-Douglas theories, chiral algebras and wild Hitchin characters ⋮ Branes through finite group actions ⋮ Singular geometry and Higgs bundles in string theory ⋮ Degeneration of natural Lagrangians and Prymian integrable systems

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