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One-Point Functions of N=2 Super-Liouville Theory with Boundary

Changrim Ahn, Marian Stanishkov, Masayoshi Yamamoto

Abstract

We derive one-point functions of the N=2 super-Liouville theory on a half line using the modular transformations of the characters in terms of the bulk and boundary cosmological constants. We also show that these results are consistent with conformal bootstrap equations which are based on the bulk and boundary actions. We provide various independent checks for our results.

One-Point Functions of N=2 Super-Liouville Theory with Boundary

Abstract

We derive one-point functions of the N=2 super-Liouville theory on a half line using the modular transformations of the characters in terms of the bulk and boundary cosmological constants. We also show that these results are consistent with conformal bootstrap equations which are based on the bulk and boundary actions. We provide various independent checks for our results.

Paper Structure

This paper contains 14 sections, 91 equations.

Table of Contents

  1. Introduction
  2. $N=2$ Super-Liouville Theory
  3. Characters and Modular Transformations
  4. $N=2$ SLFT Characters
  5. Modular Transformations
  6. Chiral Primary Fields
  7. Identity (Vacuum) Operator
  8. One-Point Functions in the Presence of Boundary
  9. Vacuum Boundary Condition
  10. Continuous Boundary Condition
  11. Bulk Reflection Amplitudes
  12. Conformal Bootstrap Approach
  13. Semiclassical Checks
  14. Discussions