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Meeting at King’s College London

10 January 2024

 

 

events

 

Organising Committee: J. Gauntlett, P. Kumar, N. Lambert, C. Papageorgakis, S. Ross, S. Schafer-Nameki, D. Tong and D. Turton

 

Less Tentative Schedule:

 

 

Wednesday January 10th 2024

 

10:30

Registration

11:00

Downing

11:25

Schettini Gherardini

11:50

Pasquarella

12:15

Gong Show

13:00

Lunch and Poster Session

14:15

Cole

14:40

Katona

15:05

Zalel

15:30

Break

16:15

Boido

16:40

Lee

17:05

Sabag

17:30

Reception

 

 

Link to Video Recording (unedited)

 

 

Directions:

 

The talks will take place in the Safra Lecture Theatre. This is on the ground floor in the main King’s building on the Strand. Lunch, refreshments and the reception will be served in the Great Hall next to the Safra Lecture Theatre where the posters will also be on display.

 

Please note that to gain entry to King’s you will need to be registered.

 

Talks:

 

Andrea Boido (Oxford): Matrix models from black hole geometries

 

Supersymmetric and magnetically charged black holes in AdS$_4$ are known to be holographically dual to 3d SCFTs compactified on a Riemann surface $\Sigma_g$ with a topological twist. In the last decade, many observables have been computed on both sides and a remarkable matching has been achieved. In field theory, the partition function is computed via localization, and it reduces to a matrix model whose eigenvalues, at large N, become continuously distributed. In the talk, I will explain how the eigenvalue density function emerges naturally in gravity from the near-horizon geometry of the black holes. The ABJM theory will serve as a concrete illustration of this picture.

 

Lewis Cole (Swansea): Integrable Deformations from Holomorphic Chern-Simons Theory on Twistor Space

 

Integrable deformations are a subclass of 2d sigma-models which are exactly solvable. Insights into the origin of this special property are provided by two 4d gauge theoretic descriptions -- 4d Chern-Simons theory and self-dual Yang-Mills theory. Recently, both of these 4d models have been realised as children of a parent theory: 6d holomorphic Chern-Simons theory on twistor space. After a review of these topics, I will discuss our work extending this formalism, beyond the 2d PCM and WZW model, to continuous families of integrable deformations.

 

Max Downing (KCL): Free fermions, KdV charges, generalised Gibbs ensembles and modular transforms.

 

We consider the modular properties of generalised Gibbs ensembles in the Ising model, realised as a theory of one free massless fermion. The Gibbs ensembles are given by adding chemical potentials to chiral charges corresponding to the KdV conserved quantities. The eigenvalues and Gibbs ensembles for the charges are calculated exactly using their expression as bilinears in the fermion fields. By considering the corresponding TBA calculation, we derive the exact closed-form expression of the GGE in the opposite channel. We end with an interpret of this transformed GGE in terms of a line defect.

 

Tancredi Schettini Gherardini (QMUL): Exotic Spheres and Kaluza-Klein Formalism

 

I will discuss metrics on exotic spheres viewed as non-principal S^3 bundles over S^4, i.e. Milnor's bundles, summarising the findings presented in arXiv:2309.01703 (to appear on JHEP). I will outline the importance of these manifolds in differential geometry, mention the appearance of exotic differentiable structures in physics so far, and then present in detail an explicit Kaluza-Klein metric for one of the exotic spheres. I will comment on its relation to 7-dimensional Einstein gravity with a cosmological constant and its possible role in supergravity theories. Finally, I will discuss some interesting extensions of this work, which lies within a little-explored, but potentially fruitful, territory.

 

David Katona (Edinburgh):  Uniqueness of the extremal Schwarzschild-de Sitter spacetime

 

Uniqueness theorems for black holes with a cosmological constant are only known in a few limited cases. In my talk I present a recently proven uniqueness theorem for the extremal Schwarzschild-de Sitter black hole in the class of analytic vacuum spacetimes with a positive cosmological constant containing a static extremal Killing horizon. The proof is based on establishing the uniqueness of transversal deformations to the near-horizon geometry at every order. I discuss possible generalisations, including black holes in Einstein-Maxwell theory with a cosmological constant and higher dimensional black holes.

 

Mang Hei Gordon Lee (Cambridge): In-Out formalism for In-In correlators

 

Cosmological correlators are commonly studied using the in-in formalism developed by Schwinger and Keldysh. Because of the time contour, computation using in-in formalism usually involves a much larger number of Feynman diagrams than usual amplitude calculations. However, for non-dissipative systems, in-in correlators can simply be computed using the familiar in-out formalism used for amplitudes. I will explore this connection and its applications in flat space. In the end I will also explore how this can potentially be used to define a scattering amplitude in de Sitter.

 

 

Veronica Pasquarella (Cambridge): Moore-Tachikawa Varieties: Beyond Duality  

 

In this talk I propose a generalisation of the Moore-Tachikawa varieties for the case in which the target category of the 2D TFT is a hyperkaehler quotient. The setup requires generalising the bordism operators of Moore and Segal to the case involving lack of reparametrisation-invariance on the Riemann surface, ultimately enabling to relate this to the issue of defining a Drinfeld center for composite class S theories. (This talk is based on a recently published paper.)

 

Evyatar Sabag (Oxford):  Swampland Constraints on the SymTFT of Supergravity

 

We consider string/M-theory reductions on a compact space X = X^loc X^◦, where X^loc contains the singular locus, and X^◦ its complement. For the resulting supergravity theories, we construct a suitable Symmetry Topological Field Theory (SymTFT) associated with the boundary ∂X^loc  ∂X^◦. We propose that boundary conditions for different BPS branes wrapping the same boundary cycles must be correlated for the SymTFT to yield an absolute theory consistent with quantum gravity. Furthermore, for 6d (2, 0) theories, we utilize a subtle interplay between gauged 0-, 2-, and 4-form symmetries to provide a bottom-up explanation of the correlated boundary conditions in K3 compactifications of type IIB.

 

Stav Zalel (Imperial): The in-in formalism on a causal set

 

In causal set quantum gravity, spacetime is fundamentally discrete and takes the form of a Lorentzian lattice. I will describe recent work in defining interacting quantum field theory on this discrete background lattice. I will present diagrammatic rules for computing in-in correlators in the vacuum which are manifestly causal thanks to the appearance of the retarded propagator. When the interaction region is finite, the expansion in powers of the interaction coupling terminates at a finite order. This suggests a new way to regularise the continuum theory. Overall, this framework is a major step in providing new quantum gravity phenomenology by allowing us to compute early universe observables under the assumption that spacetime is fundamentally discrete.

 

Gong Show and Posters:

 

 

Pietro Capuozzo (Southampton): Holographic Superconformal Defects

 

Calvin Chen (Imperial): Stacking and balancing casual causality – Diagnosing (a)causality in the EFT of gravity

 

Chandramouli Chowdhury (Southampton):  Cosmological Correlators in Momentum Space

 

Osama Khlaif (Birmingham): 3d N=2 SQCD and the quantum K-theory of the Grassmannian

 

Enrico Marchetto (Oxford): Symmetry Breaking and Tauberian Theorems in finite temperature CFTs

 

Gerben Oling (Edinburgh): Carroll Geometry in Gravity and Holography

 

Arvind Shekar (Southampton): Entanglement Entropy and theories that yield islands in d dimensional static black holes

 

Torben Skrzypek (Imperial): Probing the twisted sector of AdS/CFT orbifolds

 

Benjamin Suzzoni (Southampton): Holographic Weyl Anomalies of 4d Defects in 6d SCFT’s

 

Neil Talwar (Swansea): Information recovery in JT gravity

 

Mitchell Woolley (QMUL): New Conformal Bootstrap Strategies with Applications in 1d