Meeting PRIN "String Theory as a bridge between Gauge Theories and Quantum Gravity"
from
Thursday, February 23, 2023 (2:30 PM)
to
Friday, February 24, 2023 (1:00 PM)
Monday, February 20, 2023
Tuesday, February 21, 2023
Wednesday, February 22, 2023
Thursday, February 23, 2023
2:30 PM
TracyWidom distribution in supersymmetric gauge theories

Gregory P. Korchemsky
(
Saclay, IPhT
)
TracyWidom distribution in supersymmetric gauge theories
Gregory P. Korchemsky
(
Saclay, IPhT
)
2:30 PM  3:30 PM
Room: Aula C
It was recently recognized that various observables in fourdimensional supersymmetric gauge theories can be computed for an arbitrary 't Hooft coupling as determinants of certain semiinfinite matrices. I will show that these quantities can be expressed as Fredholm determinants of the socalled Bessel kernel and they are closely related to celebrated TracyWidom distribution (more precisely, its finite temperature generalization) describing levelspacing distributions in matrix model.
3:30 PM
Coffee break
Coffee break
3:30 PM  4:00 PM
Room: Sala Wataghin
4:00 PM
Corrections to the thermodynamics of AdS$_5$ black holes and the superconformal index

Alejandro Ruiperez
(
Roma Tor Vergata
)
Corrections to the thermodynamics of AdS$_5$ black holes and the superconformal index
Alejandro Ruiperez
(
Roma Tor Vergata
)
4:00 PM  4:45 PM
Room: Aula C
We consider a fourderivative extension of minimal gauged supergravity in five dimensions and use it to evaluate the onshell action of AdS$_5$ black holes, showing that it fully matches the result from the superconformal index ``on the second sheet” after imposing supersymmetry. We then compute the corrected black hole thermodynamics and we find a formula of the BPS entropy as a function of the charges. The latter is shown to match both the Legendre transform of the superconformal index and the Wald entropy. Based on 2208.01007 [hepth] and on work in progress.
4:45 PM
Higher rank equivariant DonaldsonWitten theory

Ekaterina Sysoeva
(
SISSA
)
Higher rank equivariant DonaldsonWitten theory
Ekaterina Sysoeva
(
SISSA
)
4:45 PM  5:30 PM
Room: Aula C
Partition function and correlation functions of the topologically twisted $\mathcal{N} = 2$ super YangMills theory on a smooth fourmanifold with gauge group $SU(2)$, also known as DonaldsonWitten theory, provide us a way to compute topological invariants of many manifolds classifying their smooth structure (Donaldson invariants). Equivariantisation of this theory, on the one hand, can be considered as a tool to find the original invariants by means of the equivariant localisation, and on the other hand, is interesting by itself, since it also has a topological counterpart (equivariant Donaldson invariants). While for the equivariant DonaldsonWitten theory with $SU(2)$, gauge group quite a lot of results were found, there is still not much known in the case of the higher rank gauge symmetry. After giving an introduction on the subject I will present our recent results for the higher rank theory, which include generalisation of the recurrence relation for the partition function on $\mathbb{C}^2$ (Zamolodchikov relation) and a proposal for the equivariant Donaldson invariants of the compact toric manifolds.
5:30 PM
Discussion
Discussion
5:30 PM  5:45 PM
Room: Aula C
5:45 PM
Meeting organizzativo PRIN

Massimo Bianchi
(
Università di Roma Tor Vergata
)
Meeting organizzativo PRIN
Massimo Bianchi
(
Università di Roma Tor Vergata
)
5:45 PM  6:15 PM
Room: Sala Wataghin
Friday, February 24, 2023
9:30 AM
Holography with heavy states as a tool to study black holes

Rodolfo Russo
(
Queen Mary University of London
)
Holography with heavy states as a tool to study black holes
Rodolfo Russo
(
Queen Mary University of London
)
9:30 AM  10:30 AM
Room: Aula C
In holographic CFTs it is interesting to study operators whose dimension scales as the central charge when the latter is taken to be large. As an example of such operators, I consider multiparticle states formed by a large number of BPS singleparticle constituents. Focusing on the example of the (AdS_3 x S^3)/CFT_2 duality, I discuss how the gravitational backreaction of these heavy states is described by regular geometries that encode interesting CFT data. The quadratic fluctuations around these geometries capture the heavylight four point correlators. Finally I comment on similarities and differences between these correlators and similar quantities calculated in the background of asymptotically AdS black holes.
10:30 AM
Coffee break
Coffee break
10:30 AM  11:00 AM
Room: Sala Wataghin
11:00 AM
Fate of Radiating Black Holes With Minimum Mass in EinsteindilatonGaussBonnet Theory of Gravity

Fabrizio Corelli
(
Sapienza Università di Roma
)
Fate of Radiating Black Holes With Minimum Mass in EinsteindilatonGaussBonnet Theory of Gravity
Fabrizio Corelli
(
Sapienza Università di Roma
)
11:00 AM  11:45 AM
Room: Aula C
EinsteindilatonGaussBonnet (EdGB) is a theory of modified gravity in which a dilatontype scalar field is nonminimally coupled to quadratic curvature terms via an exponential function. Black holes (BHs) in this theory are particularly interesting since they possess a critical configuration with minimum mass and finite Hawking temperature. This means that a critical BH loses mass due to Hawking's radiation, but it is not clear what is its fate after this process, since it cannot reach a final configuration with lower mass. In a recent work we studied this problem by means of fully nonlinear numerical evolutions of spherically symmetric BH spacetimes. Specifically, by simulating the collapse of wave packets of a phantom scalar field we have been able to dynamically reduce the BH mass, reproducing the effect of Hawking's evaporation. In this talk I will present our results with a particular focus on the case in which the BH mass falls below the critical value. In particular, I will show that a highcurvature elliptic region emerges from the apparent horizon, and I will discuss how this could hint to an incompatibility between EdGB gravity and Hawking evaporation. I will also mention some alternative scenarios for a stable evolution, and future possible research directions.
11:45 AM
General discussion
General discussion
11:45 AM  12:30 PM
Room: Aula C