# Dual Purpose Landscaping Tools: Small Extra Dimensions in AdS/CFT

@article{Polchinski2009DualPL, title={Dual Purpose Landscaping Tools: Small Extra Dimensions in AdS/CFT}, author={Joseph Polchinski and E. Silverstein}, journal={arXiv: High Energy Physics - Theory}, year={2009} }

We propose a class of AdS/CFT dual pairs which have small internal dimensions on the gravity side. Starting from known Freund-Rubin AdS/CFT dual pairs, we use 7-branes to nearly cancel the curvature energy of the internal dimensions while maintaining their stabilization. This leads to a new corner of the landscape - a class of AdS solutions with a hierarchically large AdS radius - with a dual field theory given (implicitly) by the infrared limit of a concrete brane construction involving D3…

## 51 Citations

### Growing extra dimensions in AdS/CFT

- PhysicsJournal of High Energy Physics
- 2019

What is the dimension of spacetime? We address this question in the context of the AdS/CFT Correspondence. We give a prescription for computing the number of large bulk dimensions, D, from…

### TASI lectures on AdS/CFT

- Mathematics
- 2017

We introduce the AdS/CFT correspondence as a natural extension of QFT in a fixed AdS background. We start by reviewing some general concepts of CFT, including the embedding space formalism. We then…

### AdS4 compactifications of AdS7 solutions in type II supergravity

- Mathematics
- 2015

A bstractWe find new classes of AdS4 solutions with localized branes and orientifolds, both analytic and numerical. We start with an Ansatz for the pure spinors inspired by a recently found class of…

### FRW Solutions and Holography from Uplifted AdS/CFT

- Physics
- 2012

Starting from concrete AdS/CFT dual pairs, one can introduce ingredients which produce cosmological solutions, including metastable de Sitter and its decay to non-accelerating FRW. We present simple…

### Holographic duals of 3d S-fold CFTs

- MathematicsJournal of High Energy Physics
- 2018

A bstractWe construct non-geometric AdS4 solutions of IIB string theory where the fields in overlapping patches are glued by elements of the S-duality group. We obtain them by suitable quotients of…

### On KKLT/CFT and LVS/CFT dualities

- Mathematics
- 2014

A bstractWe present a general discussion of the properties of three dimensional CFT duals to the AdS string theory vacua coming from type IIB Calabi-Yau flux compactifi-cations. Both KKLT and Large…

### FRW solutions and holography from uplifted AdS/CFT systems

- Physics
- 2012

Starting from concrete AdS/CFT dual pairs, one can introduce ingredients which produce cosmological solutions, including metastable de Sitter and its decay to nonaccelerating FRW. We present simple…

### Massive Anti-de Sitter gravity from string theory

- GeologyJournal of High Energy Physics
- 2018

A bstractWe study top-down embeddings of massive Anti-de Sitter (AdS) gravity in type-IIB string theory. The supergravity solutions have a AdS4 fiber warped over a manifold M6 whose shape resembles…

### AdS vacua with scale separation from IIB supergravity

- Physics
- 2013

A bstractOnly two kinds of compactification are known that lead to four-dimensional supersymmetric AdS vacua with moduli stabilisation and separation of scales at tree-level. The most studied ones…

### Gravity from thermodynamics: optimal transport and negative effective dimensions

- Mathematics
- 2022

We prove an equivalence between the classical equations of motion governing vacuum gravity compactifications (and more general warped-product spacetimes) and a concavity property of entropy under…

## References

SHOWING 1-10 OF 61 REFERENCES

### The dS/dS Correspondence

- Physics
- 2004

We present a holographic duality for the de Sitter static patch which consolidates basic features of its geometry and the behavior of gravity and brane probes, valid on timescales short compared to…

### An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals

- Mathematics
- 2004

We describe an infinite family of quiver gauge theories that are AdS/CFT dual to a corresponding class of explicit horizon Sasaki-Einstein manifolds. The quivers may be obtained from a family of…

### On the conformal field theory duals of type IIA AdS 4 flux compactifications

- Mathematics
- 2008

We study the conformal field theory dual of the type IIA flux compactification model of DeWolfe, Giryavets, Kachru and Taylor, with all moduli stabilized. We find its central charge and properties of…

### N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

- Mathematics
- 2008

We construct three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(N) and SU(N) × SU(N) which have explicit = 6 superconformal symmetry. Using brane constructions we argue that…

### Anti-de Sitter space and holography

- Physics
- 1998

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of…

### The Large-N Limit of Superconformal Field Theories and Supergravity

- Physics, Mathematics
- 1997

We show that the large-N limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes,…

### The gravity duals of N=2 superconformal field theories

- Mathematics
- 2009

We study the gauge/gravity duality for theories with four dimensional ${\cal N}=2$ supersymmetries. We consider the large class of generalized quiver field theories constructed recently by one of us…

### Gauge theories from toric geometry and brane tilings

- Mathematics
- 2006

We provide a general set of rules for extracting the data defining a quiver gauge theory from a given toric Calabi-Yau singularity. Our method combines information from the geometry and topology of…

### The String landscape, black holes and gravity as the weakest force

- Physics
- 2007

We conjecture a general upper bound on the strength of gravity relative to gauge forces in quantum gravity. This implies, in particular, that in a four-dimensional theory with gravity and a U(1)…