Aspects of AdS flux vacua with integer conformal dimensions

Massive fields on anti-de Sitter (AdS) space enjoy galileon-like shift symmetries at particular values of their masses. We explore how these shift symmetries are realized through the boundary conformal field theory (CFT), at the level of the 2-point functions. In the alternate quantization scheme in which the dual conformal field gets the smaller ∆− conformal dimension, the shift symmetry is realized as a gauge symmetry in the dual CFT, so that only shift invariant operators are true conformal primary fields. In the standard quantization scheme the shift symmetry acts on the source, leading to Ward identities that take the form of integral constraints.

Section: Discussionmentioning

confidence: 99%

Shift Symmetries and AdS/CFT

Blauvelt

Engelbrecht

Hinterbichler

2023

Extensions of a scale-separated AdS4 solution and their mass spectrum

Andriot,

Tringas

2024

We consider two extensions of the so-called DGKT solution, a 4d scale-separated anti-de Sitter (AdS) solution obtained as a compactification on a 6d torus orbifold. Each extension consists in a specific large n expansion beyond the DGKT solution, where n is the unbounded F4-flux parameter. One of the extensions considered generalizes the known warped, partially backreacted solution. We analyse the two extensions in 10d massive type IIA supergravity as well as in a 4d effective theory, using a general warped compactification formalism, including axions. On top of known corrections to DGKT, we mainly get new ones from F4; other fluxes are very constrained by flux quantization. In each extension, one would expect corresponding corrections to the mass spectrum, before reaching contributions from α′-corrections. But the mass spectrum turns out to be robust, and conformal dimensions remain unchanged.

Emergent supersymmetry at large N

Prakash,

Sinha

2024

We search for infrared fixed points of Gross-Neveu Yukawa models with matrix degrees of freedom in d = 4 − ε. We consider three models — a model with SU(N) symmetry in which the scalar and fermionic fields both transform in the adjoint representation, a model with SO(N) symmetry in which the scalar and fermion fields both transform as real symmetric-traceless matrices, and a model with SO(N) symmetry in which the scalar field transforms as a real symmetric-traceless matrix, while the fermion transforms in the adjoint representation. These models differ at finite N, but their large-N limits are perturbatively equivalent. The first two models contain a supersymmetric fixed point for all N, which is attractive to all classically-marginal deformations for N sufficiently large. The third model possesses a stable fixed point that, although non-supersymmetric, gives rise to many correlation functions that are identical to those of a supersymmetric fixed point when N is sufficiently large. We also find several non-supersymmetric fixed points at finite and large-N. Planar diagrams dominate the large-N limit of these fixed points, which suggests the possibility of a stringy holographic dual description.