Cohomological Reduction of Sigma Models

Abstract

This article studies some features of quantum field theories with internal supersymmetry, focusing mainly on 2-dimensional non-linear sigma models which take values in a coset superspace. It is discussed how BRST operators from the target space supersymmetry algebra can be used to identify subsectors which are often simpler than the original model and may allow for an explicit computation of correlation functions. After an extensive discussion of the general reduction scheme, we present a number of interesting examples, including symmetric superspaces $G/G^{{\mathbb{Z}}_2}$ and coset superspaces of the form $G/G^{{\mathbb{Z}}_4}$.

39 pages, 2 tables, 1 figure

References in corpus (9)

• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Enlarged symmetry algebras of spin chains, loop models, and S-matrices
• Non-local charges, Zm gradings and coset space actions
• Exact N=4 correlators of AdS(3)/CFT(2)
• The Sigma Model on Complex Projective Superspaces
• Conformal invariance and quantum integrability of sigma models on symmetric superspaces
• Principal Chiral Model on Superspheres
• A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part I: Algebraic structures in the spin chain. The Brauer algebra
• A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part II: The boundary spectrum

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• Continuum Limit of gl(M/N) Spin Chains
• On the Spectrum of Superspheres
• Anomalous Dimensions in Deformed WZW Models on Supergroups
• Yangian Superalgebras in Conformal Field Theory
• Spectra of Coset Sigma Models
• Fermionic Coset, Critical Level W^(2)_4-Algebra and Higher Spins
• Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1)
• Topological Field Theory and Stochastic Dynamics