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A note on regular type 0 solutions and confining gauge theories

F. Bigazzi, L. Girardello, A. Zaffaroni

TL;DR

This work extends the Klebanov-Strassler regular supergravity background to non-supersymmetric Type 0 theories, showing that tachyon instabilities can be tamed by RR flux and yielding tractable IR dynamics for confining gauge theories. By analyzing conformal and non-conformal Type 0 deformations of conifold geometries, it provides explicit constructions that realize confinement and chiral symmetry breaking, including a pure glue $SU(M)$ regime and a cascade mechanism akin to the SUSY case. The results illustrate a broader landscape of completely regular gravity duals for non-supersymmetric gauge theories, while highlighting challenges in tachyon stabilization, UV completion, and the role of a running dilaton. Overall, the paper opens avenues for studying strongly coupled non-supersymmetric gauge dynamics via Type 0 holography, with caveats requiring careful string-scale or sigma-model treatment beyond the supergravity approximation.

Abstract

We discuss some features of the regular supergravity solution for fractional branes on a deformed conifold, recently found by Klebanov-Strassler, mostly adapting it to a type 0 non-sypersymmetric context. The non-supersymmetric gauge theory is SU(M)*SU(M) with two bi-fundamental Weyl fermions. The tachyon is now stabilized by the RR antisymmetric tensor flux. We briefly discuss the most general non-supersymmetric theory on electric, magnetic and fractional type 0 D3-branes on a conifold. This includes the pure SU(N) theory.

A note on regular type 0 solutions and confining gauge theories

TL;DR

This work extends the Klebanov-Strassler regular supergravity background to non-supersymmetric Type 0 theories, showing that tachyon instabilities can be tamed by RR flux and yielding tractable IR dynamics for confining gauge theories. By analyzing conformal and non-conformal Type 0 deformations of conifold geometries, it provides explicit constructions that realize confinement and chiral symmetry breaking, including a pure glue regime and a cascade mechanism akin to the SUSY case. The results illustrate a broader landscape of completely regular gravity duals for non-supersymmetric gauge theories, while highlighting challenges in tachyon stabilization, UV completion, and the role of a running dilaton. Overall, the paper opens avenues for studying strongly coupled non-supersymmetric gauge dynamics via Type 0 holography, with caveats requiring careful string-scale or sigma-model treatment beyond the supergravity approximation.

Abstract

We discuss some features of the regular supergravity solution for fractional branes on a deformed conifold, recently found by Klebanov-Strassler, mostly adapting it to a type 0 non-sypersymmetric context. The non-supersymmetric gauge theory is SU(M)*SU(M) with two bi-fundamental Weyl fermions. The tachyon is now stabilized by the RR antisymmetric tensor flux. We briefly discuss the most general non-supersymmetric theory on electric, magnetic and fractional type 0 D3-branes on a conifold. This includes the pure SU(N) theory.

Paper Structure

This paper contains 8 sections, 17 equations, 1 figure.

Table of Contents

  1. Introduction
  2. The KS solution
  3. Type 0 branes on a conifold
  4. Type 0 branes on a conifold
  5. A conformal solution
  6. A non-conformal "self-dual" solution
  7. The pure glue theory
  8. Conclusions

Figures (1)

  • Figure 1: The generic gauge theory for type 0 branes on a conifold. The nodes are $SU(N_i)$ gauge groups. The links represent bi-fundamental matter fields. Solid lines are complex bosons and dashed lines Weyl fermions. Arrows distinguish between $(N_i,\bar{N}_j)$ and $(N_j,\bar{N}_i)$ representations.