Correlation functions of current-algebra theories on the torus

Mathur, Samir D. ; Mukhi, Sunil (1988) Correlation functions of current-algebra theories on the torus Physics Letters B: Nuclear Physics and Particle Physics, 210 (1-2). pp. 133-140. ISSN 0370-2693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037026...

Related URL: http://dx.doi.org/10.1016/0370-2693(88)90361-9

Abstract

We compute torus correlation functions of holomorphic currents for conformal field theories with an affine SU (2) Kas-Moody algebra, at arbitrary values of the central charge k. For K=1 our results are compared with a calculation using free-fermion currents. It is shown that correlators of the matrix field of the Wess-Zumino-Witten theory satisfy differential equations involving the modular parameter of the torus but not the gauge-field moduli.

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Deposited On:20 Nov 2010 13:23
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