Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries

Andreas Karch, Lisa Randall

TL;DR

The paper develops a string-theoretic realization of AdS/CFT for conformal field theories on manifolds with boundaries by studying supersymmetric brane configurations where a higher-dimensional brane yields a conformal defect for a lower-dimensional CFT. Using probe analyses and Born-Infeld calculations, the authors show that the dual gravity description involves an $AdS_{n+2}$ bulk with an $AdS_{n+1}$ defect (or multiple AdS regions joined by a defect), and they analyze how the backreaction of the defect-brane can modify warp factors and potentially localize gravity. They extend the framework to other intersecting-brane systems (D3-D5, D1-D5 with D3, F1-NS5 with D3, and M2-M5), demonstrating the robustness of the AdS-defect picture and providing insights into boundary vs bulk mode mixing in the holographic setup. The work also outlines regimes and methodologies for incorporating backreaction, highlighting possible avenues for realizing localized gravity within string theory-inspired holographic models.

Abstract

We consider certain supersymmetric configurations of intersecting branes and branes ending on branes and analyze the duality between their open and closed string interpretation. The examples we study are chosen such that we have the lower dimensional brane realizing an n+1 dimensional conformal field theory on its worldvolume and the higher dimensional one introducing a conformal boundary. We also consider two CFTs, possibly with different central charges, interacting along a common conformal boundary. We show with a probe calculation that the dual closed string description is in terms of gravity in an AdS_{n+2} bulk with an AdS_{n+1} defect or two different AdS_{n+2} spaces joined along a defect. We also comment briefly on the expected back-reaction.

Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries

TL;DR

The paper develops a string-theoretic realization of AdS/CFT for conformal field theories on manifolds with boundaries by studying supersymmetric brane configurations where a higher-dimensional brane yields a conformal defect for a lower-dimensional CFT. Using probe analyses and Born-Infeld calculations, the authors show that the dual gravity description involves an bulk with an defect (or multiple AdS regions joined by a defect), and they analyze how the backreaction of the defect-brane can modify warp factors and potentially localize gravity. They extend the framework to other intersecting-brane systems (D3-D5, D1-D5 with D3, F1-NS5 with D3, and M2-M5), demonstrating the robustness of the AdS-defect picture and providing insights into boundary vs bulk mode mixing in the holographic setup. The work also outlines regimes and methodologies for incorporating backreaction, highlighting possible avenues for realizing localized gravity within string theory-inspired holographic models.

Abstract

We consider certain supersymmetric configurations of intersecting branes and branes ending on branes and analyze the duality between their open and closed string interpretation. The examples we study are chosen such that we have the lower dimensional brane realizing an n+1 dimensional conformal field theory on its worldvolume and the higher dimensional one introducing a conformal boundary. We also consider two CFTs, possibly with different central charges, interacting along a common conformal boundary. We show with a probe calculation that the dual closed string description is in terms of gravity in an AdS_{n+2} bulk with an AdS_{n+1} defect or two different AdS_{n+2} spaces joined along a defect. We also comment briefly on the expected back-reaction.

Paper Structure

This paper contains 15 sections, 53 equations, 6 figures.

Table of Contents

  1. Introduction
  2. The Supergravity Dual for a CFT on the Half-Plane
  3. The Probe Picture
  4. The Embedding from AdS/CFT
  5. Other Examples of the Geometry of Intersecting Branes
  6. 6d Black String with RR charges
  7. 6d Black String with NSNS charges
  8. The M2 Brane Ending on an M5 Brane
  9. Generalities
  10. The Born-Infeld Calculation
  11. Beyond the Probe Approximation
  12. Parameters Controlling the Backreaction
  13. Possible Behavior of the Warp Factor
  14. Turning on the Backreaction
  15. Conclusions

Figures (6)

  • Figure 1: Global embedding of the dS$_2$ and AdS$_2$ branes in AdS$_3$ respectively. The dS case is only included for comparison.
  • Figure 2: "Up-slower up" AdS warpfactor for $L_L=1$ and $L_R=3$ .
  • Figure 3: "Up-down" AdS warpfactor for $L_L=1$ and $L_R=3$ .
  • Figure 4: "Up-slower up" Minkowski warpfactor for $L_L=1$ and $L_R=3$ .
  • Figure 5: Volcano potential associated to the "up-slower up" Minkowski warpfactor for $L_L=1$ and $L_R=3$ .
  • ...and 1 more figures