Conformal field theory with gauge symmetry.

zbMath1188.81004MaRDI QIDQ939635

Kenji Ueno

Publication date: 28 August 2008

Published in: Fields Institute Monographs (Search for Journal in Brave)

zbMATH Keywords

Riemann surfacesconformal field theorygauge symmetrycorrelation functionsaffine Lie algebrasWess-Zumino modelvertex operatorsconformal blocks

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (13)

Rank-level duality and conformal block divisors ⋮ Sewing and propagation of conformal blocks ⋮ Veronese quotient models of \(\overline M_{0,n}\) and conformal blocks ⋮ Unitarity of the KZ/Hitchin connection on conformal blocks in genus 0 for arbitrary Lie algebras ⋮ Modular functors, cohomological field theories, and topological recursion ⋮ Conformal blocks, Berenstein-Zelevinsky triangles, and group-based models ⋮ Holonomies of gauge fields in twistor space 4: Functional MHV rules and one-loop amplitudes ⋮ On finite generation of the section ring of the determinant of cohomology line bundle ⋮ Unitarity of the modular tensor categories associated to unitary vertex operator algebras. I ⋮ Conformal blocks and cohomology in genus 0 ⋮ Construction of the Witten-Reshetikhin-Turaev TQFT from conformal field theory ⋮ Unitarity of the modular tensor categories associated to unitary vertex operator algebras. II. ⋮ Conformal blocks, Verlinde formula and diagram automorphisms

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