Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Non-critical supergravity (d>1) and holography

Stanislav Kuperstein, Jacob Sonnenschein

Abstract

In this paper we investigate the supergravity equations of motion associated with non-critical ($d>1$) type II string theories that incorporate RR forms. Using a superpotential formalism we determine several classes of solutions. In particular we find analytic backgrounds with a structure of $AdS_{p+2}\times S^{d-p-2}$ and numerical solutions that asymptote a linear dilaton with a topology of $R^{1,d-3}\times R \times S^1$. The SUGRA solutions we have found can serve as anti holographic descriptions of gauge theories in a large $N$ limit which is different than the one of the critical gauge/gravity duality. It is characterized by $N\rt \infty$ and $g_{YM}^2 N \sim 1$. We have made the first steps in analyzing the corresponding gauge theory properties like Wilson loops and the glue-ball spectra.

Non-critical supergravity (d>1) and holography

Abstract

In this paper we investigate the supergravity equations of motion associated with non-critical () type II string theories that incorporate RR forms. Using a superpotential formalism we determine several classes of solutions. In particular we find analytic backgrounds with a structure of and numerical solutions that asymptote a linear dilaton with a topology of . The SUGRA solutions we have found can serve as anti holographic descriptions of gauge theories in a large limit which is different than the one of the critical gauge/gravity duality. It is characterized by and . We have made the first steps in analyzing the corresponding gauge theory properties like Wilson loops and the glue-ball spectra.

Paper Structure

This paper contains 28 sections, 184 equations.

Table of Contents

  1. Introduction
  2. General setting
  3. The superpotential and BPS equations
  4. $Dp$ brane solutions in critical dimension ($c=0,\ d=10$)
  5. Solutions with zero RR and NS-NS charges ($Q=0$)
  6. No transverse sphere ($k=0$)
  7. $k=1$, the cylinder, the cigar and beyond
  8. The cigar and trumpet solutions as T-duals
  9. SUGRA background with a four dimensional compact transverse space ($k = 4$)
  10. Conformal $AdS_{n+1}\times S^k$ backgrounds
  11. The $AdS_n\times S^k$ backgrounds from BPS equations
  12. AdS black hole solutions
  13. The RR deformed two dimensional black hole
  14. The T-dual solution of the BGV black hole $k=1$
  15. Backgrounds with non-zero RR charge $Q \neq 0$ that asymptote to the linear dilaton solution
  16. ...and 13 more sections