University of Surrey

Test tubes in the lab Research in the ATI Dance Research

PP-waves and logarithmic conformal field theories

Bakas, I and Sfetsos, K (2002) PP-waves and logarithmic conformal field theories Nucl.Phys. B, 639. pp. 223-240.

Full text not available from this repository.


We provide a world-sheet interpretation to the plane wave limit of a large class of exact supergravity backgrounds in terms of logarithmic conformal field theories. As an illustrative example, we consider the two-dimensional conformal field theory of the coset model SU(2)_N/U(1) times a free time-like boson U(1)_{-N}, which admits a space-time interpretation as a three-dimensional plane wave solution by taking a correlated limit \`a la Penrose. We show that upon a contraction of Saletan type, in which the parafermions of the compact coset model are combined with the free time-like boson, one obtains a novel logarithmic conformal field theory with central charge c=3. Our results are motivated at the classical level using Poisson brackets of the fields, but they are also explicitly demonstrated at the quantum level using exact operator product expansions. We perform several computations in this theory including the evaluation of the four-point functions involving primary fields and their logarithmic partners, which are identified. We also employ the extended conformal symmetries of the model to construct an infinite number of logarithmic operators. This analysis can be easily generalized to other exact conformal field theory backgrounds with a plane wave limit in the target space.

Item Type: Article
Divisions : Surrey research (other units)
Authors :
Bakas, I
Date : 1 May 2002
DOI : 10.1016/S0550-3213(02)00566-7
Uncontrolled Keywords : hep-th, hep-th
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:26
Last Modified : 24 Jan 2020 22:15

Actions (login required)

View Item View Item


Downloads per month over past year

Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800