String backgrounds and LCFT

Abstract

We describe a large class of exact string backgrounds with a null Killing vector arising, via a limiting à la Penrose procedure, from string backgrounds corresponding to coset conformal field theories for compact groups G_N/H_N times a free time-like boson U(1)_{-N}. In this way a class of novel logarithmic conformal field theories (LCFT) emerges, that includes the one constructed recently as an N\to \infty limit of the SU(2)_N/U(1) X U(1)_{-N} theory. We explicitly give the exact operator algebra for the basic chiral fields as well as their representation in terms of free bosons, even though these are not known in general at finite N. We also compute four-point functions of various operators in the theory. For the cases of the four- and five-dimensional models, corresponding to a limit of the theory SO(D+1)_N/SO(D) X U(1)_{-N} for D=3 and 4, we also present the explicit expressions for the background fields.

13 pages, Latex. v2: some refs. added, version to appear in PLB

References in corpus (5)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Celestial Mechanics, Conformal Structures, and Gravitational Waves
• On the logarithmic behaviour in N=4 SYM theory
• More D-branes in the Nappi-Witten background
• Vanishing of the conformal anomaly for strings in a gravitational wave

Cited by in corpus (9)

• String interactions in gravitational wave backgrounds
• Decoherence induced CPT violation and entangled neutral mesons
• Liouville Decoherence in a Model of Flavour Oscillations in the presence of Dark Energy
• The Neveu-Schwarz and Ramond Algebras of Logarithmic Superconformal Field Theory
• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory
• Representations of the Nappi--Witten vertex operator algebra
• The exact description of NS5-branes in the Penrose limit
• Analytic Bootstrap for Logarithmic CFT
• Implications of Space-Time foam for Entanglement Correlations of Neutral Kaons