Exact one-point function of N=1 super-Liouville theory with boundary |
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Affiliation: | 1. Department of Materials Science and Engineering, Yonsei University, Seoul 03722, South Korea;2. School of Energy, Materials and Chemical Engineering, Korea University of Technology and Education, Cheonan 31253, South Korea;3. Department of Nano Applied Engineering, Kangwon National University, Chuncheon 24341, South Korea |
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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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