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A Non-Supersymmetric Large-N 3D CFT And Its Gravity Dual

Adi Armoni, Asad Naqvi

TL;DR

The paper constructs a non-supersymmetric 3D CFT that remains conformal in the planar (large-$N$) limit and argues for planar equivalence to the ABJM theory within a bosonic gauge-invariant sector. It provides a field-theory orientifold projection and a string-theory interpretation to justify this equivalence, and proposes a gravity dual realized as the bosonic truncation of M-theory on $AdS_4\times S^7/Z_k$. It connects a type 0B brane setup to a holographic description and discusses the regime where the dual is classical, while acknowledging potential non-planar corrections and the need for a full lift to a tachyon-free string/M-theory background. The work advances non-supersymmetric holography in 3D and outlines key open challenges for lifting the construction to a complete string/M-theory framework and for understanding non-planar effects.

Abstract

We propose a three dimensional non-supersymmetric theory that is conformal in the large N limit. In a certain well defined bosonic sub-sector of gauge invariant operators, this theory is planar equivalent to the theory recently proposed by Aharony, Bergman, Jafferis and Maldacena as the theory on multiple M2 branes at an orbifold singularity. We discuss the realization of the theory on a brane configuration of type 0B string theory. Moreover, we propose an 11D gravity dual, obtained by a projection of M-theory on AdS4 x S7 / Z_k.

A Non-Supersymmetric Large-N 3D CFT And Its Gravity Dual

TL;DR

The paper constructs a non-supersymmetric 3D CFT that remains conformal in the planar (large-) limit and argues for planar equivalence to the ABJM theory within a bosonic gauge-invariant sector. It provides a field-theory orientifold projection and a string-theory interpretation to justify this equivalence, and proposes a gravity dual realized as the bosonic truncation of M-theory on . It connects a type 0B brane setup to a holographic description and discusses the regime where the dual is classical, while acknowledging potential non-planar corrections and the need for a full lift to a tachyon-free string/M-theory background. The work advances non-supersymmetric holography in 3D and outlines key open challenges for lifting the construction to a complete string/M-theory framework and for understanding non-planar effects.

Abstract

We propose a three dimensional non-supersymmetric theory that is conformal in the large N limit. In a certain well defined bosonic sub-sector of gauge invariant operators, this theory is planar equivalent to the theory recently proposed by Aharony, Bergman, Jafferis and Maldacena as the theory on multiple M2 branes at an orbifold singularity. We discuss the realization of the theory on a brane configuration of type 0B string theory. Moreover, we propose an 11D gravity dual, obtained by a projection of M-theory on AdS4 x S7 / Z_k.

Paper Structure

This paper contains 5 sections, 11 equations, 2 figures, 2 tables.

Table of Contents

  1. Introduction
  2. A Non-Supersymmetric three dimensional CFT
  3. Orientifold Theories and Their Relation to String Theory
  4. The Gravity Dual of the Non-Supersymmetric three dimensional CFT
  5. Conclusions

Figures (2)

  • Figure 1: (a) A typical vacuum diagram. (b) A planar contribution in the supersymmetric theory. (c) The same planar graph in the non-supersymmetric theory. The graph (c) is obtained from the graphs (b) by reversing the arrows on the blue lines.
  • Figure 2: The type 0B brane configuration that gives rise to the 'orientifold' CFT. The red (solid) lines are D3-branes. The blue (dashed) line is the $O^\prime 3$ plane.