In this dissertation, the low energy limit of the stress tensor, gauge current, and supercurrent two-point correlators are calculated in the background of the supersymmetric magnetic brane solution to gauged five-dimensional supergravity constructed by Almuhairi and Polchinski. The resulting correlators provide evidence for the emergence of an $\cN=2$ super-Virasoro algebra of right-movers, in addition to a bosonic Virasoro algebra and a $U(1)\oplus U(1)$-current algebra of left-movers (or the parity transform of left- and right-movers depending on the sign of the magnetic field), in the holographically dual strongly interacting two-dimensional effective field theory of the lowest Landau level.

# Your search: "author:"D'Hoker, Eric""

## filters applied

## Type of Work

Article (2) Book (0) Theses (3) Multimedia (0)

## Peer Review

Peer-reviewed only (5)

## Supplemental Material

Video (0) Audio (0) Images (0) Zip (0) Other files (0)

## Publication Year

## Campus

UC Berkeley (0) UC Davis (0) UC Irvine (0) UCLA (5) UC Merced (0) UC Riverside (0) UC San Diego (0) UCSF (0) UC Santa Barbara (0) UC Santa Cruz (0) UC Office of the President (0) Lawrence Berkeley National Laboratory (0) UC Agriculture & Natural Resources (0)

## Department

## Journal

## Discipline

## Reuse License

## Scholarly Works (5 results)

In this dissertation we explore how some information theory quantities can be formulated holographycally and used to explore and characterize strongly interacting quantum field theories. In Chapter 1 we give a holographic formulation of the Quantum Information Metric, a quantity that measures the distance between two infinitesimally different quantum states. After giving the general prescription we illustrate its use in different examples and show how it reproduces the expected field theory results.

In Chapter 2 we explore another quantum information theory quantity that finds vast applications in holography: entanglement entropy. In particular we focus on the regularization of the entanglement entropy for holographic interface theories. The fact that globally well defined Fefferman-Graham coordinates are difficult to construct makes the regularization of the holographic theory challenging. We introduce a simple new cut-off procedure, which we call ``double cut-off" regularization.

While the spirit of the first two chapters is to develop tools that can be used in studying quantum field theories holographically, in Chapters 3 and 4 we switch gears and explore a concrete example of holographic duality: we study type IIB Supergravity duals to 5 dimensional super-conformal field theories. In Chapter 3 we look at a class of bulk solutions without monodromy. The solutions exhibit mild singularities, which could potentially complicate holographic applications. We use the relation of the entanglement entropy for a spherical entangling surface to the free energy of the field theory on the five sphere as a well-motivated benchmark to assess how problematic the singularities are. The holographic supergravity computations give well-defined results for both quantities and they satisfy the expected relations. This supports the interpretation of the solutions as holographic duals for 5d SCFTs and gives first quantitative indications for the nature of the dual SCFTs.

In chapter 4 we discuss bulk solutions that include punctures around which the supergravity fields have non-trivial SL(2,R) monodromy. We show that punctures with infinitesimal monodromy match a probe 7-brane analysis using $\kappa$-symmetry and we construct

families of solutions with fixed 5-brane charges and punctures with finite monodromy, corresponding to fully backreacted 7-branes. We compute the sphere partition functions of the dual 5d SCFTs and use the results to discuss concrete brane web interpretations of the supergravity solutions.

In this dissertation, we discuss two results relevant to the study of five-dimensional super- conformal field theories. In the first half of this work, we use six-dimensional Euclidean F(4) gauged supergravity to construct a holographic renormalization group flow for a supercon- formal field theory on S5. Numerical solutions to the BPS equations are obtained and the free energy of the theory is determined holographically by calculation of the renormalized on- shell supergravity action. A candidate field theory dual to these solutions is then proposed. This tentative dual is a supersymmetry-preserving deformation of the theory engineered via the D4-D8 system in string theory. In the infrared, this theory is a mass deformation of a USp(2N) gauge theory. A localization calculation of the free energy is performed for this infrared theory, and is found to match the holographic free energy.

In the second half of this work, we establish a close relation between recently constructed AdS6 solutions in Type IIB supergravity, which describe the near-horizon limit of (p,q) 5-brane junctions, and the curves wrapped by M5-branes in the M-theory realization of the 5-brane junctions. This provides a geometric interpretation of various objects appearing in the construction of the Type IIB solutions and a physical interpretation of the regularity conditions. Conversely, the Type IIB solutions can be used to obtain explicit solutions to the equations defining the M-theory curves associated with (p,q) 5-brane junctions.