STRESS–TENSOR FOR PARAFERMIONS FROM WINDING SUBALGEBRAS OF AFFINE ALGEBRAS

DOI10.1142/S0217732398000929zbMath1192.81184arXivhep-th/9712031MaRDI QIDQ3579518

Vincenzo E. Marotta

Publication date: 7 August 2010

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9712031

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Model quantum field theories (81T10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (3)

A CONFORMAL FIELD THEORY DESCRIPTION OF THE PAIRED AND PARAFERMIONIC STATES IN THE QUANTUM HALL EFFECT ⋮ \(q\)-Virasoro/\(W\) algebra at root of unity and parafermions ⋮ A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions

Cites Work

• Branching functions for winding subalgebras and tensor products
• Direct approach to operator conformal constructions: From fermions to primary fields
• Level one representations of the simple affine Kac-Moody algebras in their homogeneous gradations
• Basic representations of affine Lie algebras and dual resonance models
• Infinite dimensional Grassmannian structure of two-dimensional quantum gravity
• Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
• Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra
• Algebras, BPS states, and strings

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