Triangle Seminars
Tuesday, 1 Jun 2021
QFT for Gravity at All Scales
Michele Levi
(NBI Copenhagen)
Abstract:
We will present the state of the art in PN gravity, and its significant advancement via the
EFT of spinning gravitating objects. First, we will introduce the concept of a tower of EFTs
for the binary inspiral problem. We will then go over the intricate formulation of the EFT
of spinning objects. Finally, we will present some advanced recent results accomplished
within this framework.
[please email a.held@imperial.ac.uk for zoom link or password]
We will present the state of the art in PN gravity, and its significant advancement via the
EFT of spinning gravitating objects. First, we will introduce the concept of a tower of EFTs
for the binary inspiral problem. We will then go over the intricate formulation of the EFT
of spinning objects. Finally, we will present some advanced recent results accomplished
within this framework.
[please email a.held@imperial.ac.uk for zoom link or password]
Posted by: IC
Thursday, 3 Jun 2021
A gravity interpretation for the Bethe ansatz expansion of the N=4 SYM superconformal index
Ofer Aharony
(Weizmann Institute)
Abstract:
This (blackboard) talk is based on 2104.13932 and on work in progress with Francesco Benini, Ohad Mamroud and Paolo Milan. I will begin by briefly reviewing the superconformal index of the d=4 N=4 SU(N) supersymmetric Yang-Mills theory, how it is related (in the large N limit) to counting black hole microstates, and how it can be computed. I will then review a specific way to compute the index called the Bethe ansatz expansion, and describe the known solutions to the Bethe ansatz equations, and what they contribute to the index in the large N limit, including both perturbative and non-perturbative terms in 1/N. The index is related to the partition function of N=4 SYM on S^3xS^1, and in the large N limit this should be related by the AdS/CFT correspondence to a sum over Euclidean gravity solutions with appropriate asymptotic behavior. I will show that each known Bethe ansatz contribution arises from a specific supersymmetric (complex) black hole solution, which reproduces both its perturbative and its non-perturbative behavior (the latter comes from wrapped Euclidean D3-branes). A priori there are many more gravitational solutions than Bethe ansatz contributions, but we show that by considering the non-perturbative effects, the extra solutions are ruled out, leading to a precise match between the solutions on both sides.–– Part of the London Integrability Journal Club. Please register at integrability-london.weebly.com if you are a new participant. The link will be emailed on Tuesday.
This (blackboard) talk is based on 2104.13932 and on work in progress with Francesco Benini, Ohad Mamroud and Paolo Milan. I will begin by briefly reviewing the superconformal index of the d=4 N=4 SU(N) supersymmetric Yang-Mills theory, how it is related (in the large N limit) to counting black hole microstates, and how it can be computed. I will then review a specific way to compute the index called the Bethe ansatz expansion, and describe the known solutions to the Bethe ansatz equations, and what they contribute to the index in the large N limit, including both perturbative and non-perturbative terms in 1/N. The index is related to the partition function of N=4 SYM on S^3xS^1, and in the large N limit this should be related by the AdS/CFT correspondence to a sum over Euclidean gravity solutions with appropriate asymptotic behavior. I will show that each known Bethe ansatz contribution arises from a specific supersymmetric (complex) black hole solution, which reproduces both its perturbative and its non-perturbative behavior (the latter comes from wrapped Euclidean D3-branes). A priori there are many more gravitational solutions than Bethe ansatz contributions, but we show that by considering the non-perturbative effects, the extra solutions are ruled out, leading to a precise match between the solutions on both sides.–– Part of the London Integrability Journal Club. Please register at integrability-london.weebly.com if you are a new participant. The link will be emailed on Tuesday.
Posted by: andrea