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One-point functions in 2D and 4D SUSY Janus

Andreas Karch, Ainesh Sanyal, Ryan C. Spieler, Mianqi Wang

Abstract

We calculate the one-point functions of the marginal operator $\mathcal{L}'$ dual to the space-varying dilaton in 4D and 2D holographic Janus interfaces, extending results in arXiv:hep-th/0407073. We compare strongly-coupled supergravity and weakly-coupled CFT limits across $\mathcal{N}=0, 1, 2, 4$ holographic Janus interfaces in 4D SYM, and $\mathcal{N}=0, 4$ Janus interfaces for 2D D1-D5 CFT. Exact agreement between these regimes occurs only for the half-BPS interfaces in both 4D and 2D cases, while for other interfaces they agree to first order of the jump parameter. This result reinforces that exact weak/strong coupling matching for interface observables on supersymmetric (SUSY) conformal manifolds is exclusive to maximally SUSY interfaces.

One-point functions in 2D and 4D SUSY Janus

Abstract

We calculate the one-point functions of the marginal operator dual to the space-varying dilaton in 4D and 2D holographic Janus interfaces, extending results in arXiv:hep-th/0407073. We compare strongly-coupled supergravity and weakly-coupled CFT limits across holographic Janus interfaces in 4D SYM, and Janus interfaces for 2D D1-D5 CFT. Exact agreement between these regimes occurs only for the half-BPS interfaces in both 4D and 2D cases, while for other interfaces they agree to first order of the jump parameter. This result reinforces that exact weak/strong coupling matching for interface observables on supersymmetric (SUSY) conformal manifolds is exclusive to maximally SUSY interfaces.

Paper Structure

This paper contains 16 sections, 103 equations.

Table of Contents

  1. Introduction
  2. Review: 1-pt function in non-SUSY Janus of $\mathcal{N}=4$ SYM
  3. Gravity duals of holographic SUSY interfaces in 4D
  4. $\mathcal{N}=1$ Interface
  5. $\mathcal{N}=2$ interface
  6. Maximal $\mathcal{N}=4$ interface
  7. CFT results for $\mathcal{N}=1,2,4$ interfaces
  8. Dual operator of space varying dilaton
  9. One-point function of $\mathcal{L}'$
  10. 1-pt functions in 2D Janus and SUSY Janus
  11. SUSY Janus
  12. The free orbifold CFT
  13. non-SUSY Janus
  14. Conclusion and future directions
  15. The fermion boundary conditions
  16. ...and 1 more sections