Joburg Workshop on Black holes and Entanglement

Talks

Shedule

Monday
9:00-10:00 Shahin Sheikh Jabbari, "Horizon fluff: A proposal for black hole microstates"     Slides
11:00-12:00 Jan de Boer, "Entanglement holography"
2:00-3:00 Shinji Hirano, "Giant graviton interactions in the PP-wave limit"
Tuesday
9:00-10:00 Rob Leigh, "Multi-partite entanglement in Chern-Simons theories"     Slides
11:00-12:00 Niels Obers, "Non-Lorentzian geometry in gravity and string theory"     Slides
6:30-8:00 Conference Dinner, the Orbit
8:00-9:00 Science & Cocktails: Jan de Boer, "Is the world a hologram?"
Wednesday
9:00-10:00 Gabriel Cardoso, "Exact results in the STU model"     Slides
11:00-12:00 Finn Larsen, "Logarithmic corrections to black hole entropy"     Slides
Thursday
9:00-10:00 Alejandra Castro, "Siegel modular forms and black hole entropy"
11:00-12:00 Nilanjan Sircar, "Chaos bound in general holographic space time"     Slides
2:00-3:00 Jaco van Zyl, "LLM magnons"     Slides
Friday
9:00-10:00 Álvaro Véliz-Osorio, "On the shape of things: From holography to elastica"
11:00-12:00 Umesh Vijayashanker, "Supersymmetric Chern-Simons-matter theories and BCFW recursion"
1:00 Conference Braai

Abstracts

Alejandra Castro

Title: Siegel Modular Forms and Black Hole Entropy

Abstract:

In the language of statistical physics, an extremal black hole is a zero temperature system with a huge amount of residual entropy. Understanding which features of a quantum system can account for a large degeneracy of ground states at zero temperature will not only unveil interesting properties of quantum gravity, but will also uncover novel quantum systems. In this talk I will present statistical systems, or more precisely counting formulas, that have the potential to account for the entropy of an extremal black hole. The goal is to capture and translate the robustness in gravity into data of the quantum system. One the microscopic side, which is the main emphasis of this talk, I want to illustrate not only how one can design generating functions with the desired features, but also present a procedure to extract the entropy systematically.

Jan de Boer

Title: Entanglement holography

Abstract:

An interesting way to organize the degrees of freedom of a conformal field theory is in terms of a set of observables that are associated to causal diamonds. These observables include and generalize entanglement entropy, and are closely related to the operator product expansion. To what extent these observables obey interesting dynamical equations in interacting theories remains an open question, but some preliminary evidence in favor of this idea will be presented.

Shinji Hirano

Title: Giant Graviton Interactions in the PP-wave Limit

Abstract:

I discuss a gravity description of semi-heavy correlators in AdS/CFT. The CFT operators of interest are Schur polynomials dual to giant gravitons. In the pp-wave limit the form of correlators suggests an instanton interpretation which I explicitly identify as instanton solutions in a type IIB pp-wave matrix model, an alternative gravity description to BMN's type IIB strings in the pp-wave background. As a byproduct I also construct solitons describing M2-branes, including junctions, ending on multiple M5-branes.

Finn Larsen

Title:Logarithmic Corrections to Black Hole Entropy

Abstract:

Logarithmic corrections to black hole entropy offer a robust intrared window into ultraviolet structure of quantum black holes. We study these corrections for Kerr-Newman black holes embedded in N=2 supergravity and show that logarithmic corrections simplify greatly even when the black holes do not preserve any supersymmetry. The result can be recast as the vanishing of the trace anomaly c=0 in 4D supergravity.

Rob Leigh

Title: Multi-partite Entanglement in Chern-Simons Theories

Abstract:

A central theme of current interest is to establish an understanding of the patterns of quantum entanglement in physical theories. It is widely believed to play a fundamental role in gravitational systems such as black holes and, through the gauge-gravity correspondence, is thought to support geometry itself. Unfortunately, this is a hard problem even in qubit systems, but certainly in quantum field theories. One arena in which computations are more tractable are topological field theories, such as Chern-Simons theories in three space-time dimensions. In this talk, I will discuss our recent work on entanglement across multiple disconnected spatial components in Chern-Simons theories. The wave-functionals for states here are given generically by Chern-Simons path integrals over three geometries that are link-complements, the multiple components corresponding to the components of the link. Entanglement observables can then be defined by tracing or projecting a subset of the spatial components. As a consequence, there are interesting connections here between standard measures of entanglement and Chern-Simons link invariants, and the construction offers a relatively simple playground for the study of multi-partite entanglement. I will complete the talk with comments concerning entanglement in 3d gravity.

Gabriel Lopes Cardoso

Title: Exact results in the STU model

Abstract:

We consider a specific type II string theory model with N=2 local supersymmetry, the so-called STU model. This is a model with exact duality symmetries. Using holomorphy and duality, we obtain exact results for this model in a certain scaling limit recently introduced by Alim, Yau and Zhou. These results go beyond the perturbative formulation of topological string theory. Our results also correctly reproduce the log area contribution to the entropy of BPS black holes in this model.

Niels Obers

Title: Non-Lorentzian geometry in gravity and string theory

Abstract:

I will present a brief introduction to non-Lorentzian geometries. Subsequently I will present a number of CS theories that describe novel non- and ultra relativistic theories of gravity in three dimensions along with indications of new types of asymptotic symmetry groups. Finally, I will discuss how non-relativistic geometry plays a role in non-relativistic string theory, including its appearance in tractable limit of the AdS/CFT correspondence.

Shahin Sheikh Jabbari

Title:Horizon Fluff: A proposal for black hole microstates

Abstract:

We propose that black hole microstates, which we dub them as horizon fluff, can be labelled through specific set of near horizon soft hairs. The horizon fluffs are zero energy excitations as measured by the horizon observer and cannot be distinguished by observers at finite distance from the horizon. We show in detail how the horizon fluff proposal works for the case of BTZ black holes and explicitly identify the microstate for this class. As the first check for the proposal we count these microstates using the Hardy-Ramanujan formula for the number of partitions of a given integer into non-negative integers and recover the Bekenstein-Hawking entropy. As the second  check, we show that our proposal produces the logarithmic corrections to the entropy. We also discuss other possible checks of the proposal and its extensions to generic black holes.

Alvaro Veliz Osorio

Title:On the Shape of Things: From holography to elastica

Abstract:

We explore the question of which shape a manifold is compelled to take when immersed in another one, provided it must be the extremum of some functional. We consider a family of functionals which depend quadratically on the extrinsic curvatures and on projections of the ambient curvatures. These functionals capture a number of physical setups ranging from holography to the study of membranes and elastica. We present a detailed derivation of the equations of motion, known as the shape equations, placing particular emphasis on the issue of gauge freedom in the choice of normal frame. We apply these equations to the particular case of holographic entanglement entropy for higher curvature three dimensional gravity and find new classes of entangling curves. In particular, we discuss the case of New Massive Gravity where we show that non-geodesic entangling curves have always a smaller on-shell value of the entropy functional. Nevertheless, the correct value for the entanglement entropy is provided by geodesics. Then, we discuss the importance of these equations in the context of classical elastica and comment on terms that break gauge invariance.