Exact one-point function of N = 1 super-Liouville theory with boundary

Changrim Ahn; Chaiho Rim; M. Stanishkov

doi:10.1016/S0550-3213(02)00296-1

Exact one-point function of N = 1 super-Liouville theory with boundary

Changrim Ahn, Chaiho Rim, M. Stanishkov

Department of Physics

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63 Scopus citations

Abstract

In this paper, exact one-point functions of N = 1 super-Liouville field theory in two-dimensional space-time with appropriate boundary conditions are presented. Exact results are derived both for the theory defined on a pseudosphere with discrete (NS) boundary conditions and for the theory with explicit boundary actions which preserves super conformal symmetries. We provide various consistency checks. We also show that these one-point functions can be related to a generalized Cardy conditions along with corresponding modular S-matrices. Using this result, we conjecture the dependence of the boundary two-point functions of the (NS) boundary operators on the boundary parameter.

Original language	English
Pages (from-to)	497-513
Number of pages	17
Journal	Nuclear Physics, Section B
Volume	636
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(02)00296-1
State	Published - 5 Aug 2002

Bibliographical note

Funding Information:
We thank V. Fateev, R. Nepomechie and Al. Zamolodchikov for valuable discussions. We thank Univ. Montpellier II, APCTP and YVRC for hospitality. This work is supported in part by KOSEF R01-1999-00018, MOST-99-N6-01-01-A-5 (CA), and Eastern Europe exchange program 12-69-002 sponsored by KISTEP (MS).

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title = "Exact one-point function of N = 1 super-Liouville theory with boundary",

abstract = "In this paper, exact one-point functions of N = 1 super-Liouville field theory in two-dimensional space-time with appropriate boundary conditions are presented. Exact results are derived both for the theory defined on a pseudosphere with discrete (NS) boundary conditions and for the theory with explicit boundary actions which preserves super conformal symmetries. We provide various consistency checks. We also show that these one-point functions can be related to a generalized Cardy conditions along with corresponding modular S-matrices. Using this result, we conjecture the dependence of the boundary two-point functions of the (NS) boundary operators on the boundary parameter.",

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Y1 - 2002/8/5

N2 - In this paper, exact one-point functions of N = 1 super-Liouville field theory in two-dimensional space-time with appropriate boundary conditions are presented. Exact results are derived both for the theory defined on a pseudosphere with discrete (NS) boundary conditions and for the theory with explicit boundary actions which preserves super conformal symmetries. We provide various consistency checks. We also show that these one-point functions can be related to a generalized Cardy conditions along with corresponding modular S-matrices. Using this result, we conjecture the dependence of the boundary two-point functions of the (NS) boundary operators on the boundary parameter.

AB - In this paper, exact one-point functions of N = 1 super-Liouville field theory in two-dimensional space-time with appropriate boundary conditions are presented. Exact results are derived both for the theory defined on a pseudosphere with discrete (NS) boundary conditions and for the theory with explicit boundary actions which preserves super conformal symmetries. We provide various consistency checks. We also show that these one-point functions can be related to a generalized Cardy conditions along with corresponding modular S-matrices. Using this result, we conjecture the dependence of the boundary two-point functions of the (NS) boundary operators on the boundary parameter.

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Exact one-point function of N = 1 super-Liouville theory with boundary

Abstract

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