BRST, generalized Maurer-Cartan equations and CFT
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Publication:881778
DOI10.1016/J.NUCLPHYSB.2006.10.009zbMATH Open1116.81062arXivhep-th/0610208OpenAlexW2033151977MaRDI QIDQ881778
Author name not available (Why is that?)
Publication date: 16 May 2007
Published in: (Search for Journal in Brave)
Abstract: The paper is devoted to the study of BRST charge in perturbed two dimensional conformal field theory. The main goal is to write the operator equation expressing the conservation law of BRST charge in perturbed theory in terms of purely algebraic operations on the corresponding operator algebra, which are defined via the OPE. The corresponding equations are constructed and their symmetries are studied up to the second order in formal coupling constant. It appears that the obtained equations can be interpreted as generalized Maurer-Cartan ones. We study two concrete examples in detail: the bosonic nonlinear sigma model and perturbed first order theory. In particular, we show that the Einstein equations, which are the conformal invariance conditions for both these perturbed theories, expanded up to the second order, can be rewritten in such generalized Maurer-Cartan form.
Full work available at URL: https://arxiv.org/abs/hep-th/0610208
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