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Permeable conformal walls and holography

Bachas, Constantin and de Boer, Jan and Dijkgraaf, Robbert and Ooguri, Hirosi (2002) Permeable conformal walls and holography. Journal of High Energy Physics, 2002 (6). Art. no. 027. ISSN 1126-6708.

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We study conformal field theories in two dimensions separated by domain walls, which preserve at least one Virasoro algebra. We develop tools to study such domain walls, extending and clarifying the concept of `folding' discussed in the condensed-matter literature. We analyze the conditions for unbroken supersymmetry, and discuss the holographic duals in AdS3 when they exist. One of the interesting observables is the Casimir energy between a wall and an anti-wall. When these separate free scalar field theories with different target-space radii, the Casimir energy is given by the dilogarithm function of the reflection probability. The walls with holographic duals in AdS3 separate two sigma models, whose target spaces are moduli spaces of Yang-Mills instantons on T4 or K3. In the supergravity limit, the Casimir energy is computable as classical energy of a brane that connects the walls through AdS3. We compare this result with expectations from the sigma-model point of view.

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Ooguri, Hirosi0000-0001-6021-3778
Additional Information:Received 21 February 2002, accepted for publication 12 June 2002, Published 4 July 2002 We thank the ITP at Santa Barbara and the organizers of the `M-theory' program for their kind hospitality during the initial stages of this work. We are also grateful to C. Albertsson, C. Callan, O. DeWolfe, D. Freedman, J. FrÄohlich, D. Kutasov, U. LindstrÄom, A. Ludwig, J. Maldacena, E. Martinec, G. Moore, N. Reed, R. Russo, V. Schomerus, J. Schwarz, E. Verlinde and M. Zabzine for useful conversations. Finally we thank the JHEP referee for his careful reading of the paper, and for constructive criticisms. This research is supported in part by the European networks "Superstring Theory" HPRN-CT-2000-00122 and "The Quantum Structure of Spacetime" HPRN-CT-2000-00131, and by DOE grant DE-AC03-76SF00098. E-print number: hep-th/0111210
Funding AgencyGrant Number
European UnionHPRN-CT-2000-00122
European UnionHPRN-CT-2000-00131
Department of Energy (DOE)DE-AC03-76SF00098
Subject Keywords:Boundary Quantum Field Theory, AdS-CFT and dS-CFT Correspondence, D-branes
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Issue or Number:6
Record Number:CaltechAUTHORS:BACjhep02
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ID Code:1307
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Deposited On:09 Jan 2006
Last Modified:02 Oct 2019 22:42

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