Solving Holographic Theories

Contribution List

1. Strings from Feynman Diagrams

Edward Mazenc

16/12/2024, 09:30

Over 50 years ago, 't Hooft observed the similarity between the Feynman diagram expansion of a large N gauge theory and the topological expansion of a string theory. The purpose of this talk is to make this idea precise for a protected subsector of the AdS/CFT correspondence. Concretely, we show how the Feynman diagram expansion of correlation functions in N=4 SYM preserving half the...

2. Supersymmetric index of black holes and black strings

Sameer Murthy

16/12/2024, 10:30

The supersymmetric index of a microscopic theory has a macroscopic dual formulation in terms of a gravitational path integral. I will discuss supersymmetric non-extremal ("finite-temperature") saddle-points of this gravitational index. I will show how a class of 5d solutions can be constructed using the 4d-5d lift. These solutions compute the index of black holes and black strings in...

3. Long Range Asymptotic Baxter-Bethe Ansatz for N=4 BFKL

Nikolay Gromov

16/12/2024, 11:45

We demonstrate that the Balitsky-Fadin-Kuraev-Lipatov regime of maximally supersymmetric Yang-Mills theory can be explicitly solved up to the L+1 order in weak coupling by uncovering a novel long-range asymptotic Baxter-Bethe ansatz for trajectories with L scalar fields. The set of equations we have found is reminiscent of the Beisert-Eden-Staudacher equations for local operators but instead...

4. Discussion

Mukund Rangamani, Rajesh Gopakumar (ICTS-TIFR, Bengaluru)

16/12/2024, 14:30

6. 1/N corrections from quantum M2 branes

Arkady Tseytlin (Imperial College London)

17/12/2024, 09:30

We will review recent work on semiclassical quantization of 11d supermembrane in $AdS_3 \times S^7/Z_k$. In the case of M2 configuration dual to supersymmetric Wilson loop 1-loop M2 brane correction matches $1/N$ correction in exact localization result in the ABJM theory. Considering 1-loop corrections to semiclassical M2 brane states generalizing spinning strings in $AdS_4 \times S^4$ ...

7. N=4 SYM in large-charge limits

Congkao Wen

17/12/2024, 10:45

I will discuss some recent progress in computing certain correlators of four half-BPS operators in N=4 SYM, with two heavy and two light operators, which we will refer to as heavy-heavy-light-light (HHLL) correlators. We'll consider the HHLL correlators in various interesting regimes (e.g. large-charge 't Hooft limit) as well as the integrated version of the HHLL correlators and their...

23. Black Holes in the Berkooz-Douglas Matrix Model

Rishi Mouland (DAMTP, University of Cambridge)

17/12/2024, 11:45

I will review the holographic duality enjoyed by the strongly-coupled limit of U(K) BFSS with N fundamental hypermultiplets, and compare it to that of plain BFSS and BMN. I will describe the construction of a broad class of black hole solutions, whose description in supergravity can be trusted at large K and N. By studying an index of the matrix model, I will recover precisely the...

9. Discussion

Lorenz Eberhardt, Luis Fernando Alday (Utrecht University)

17/12/2024, 14:30

10. Exploring the Bootstrap Method in the BFSS Model

Zechuan Zheng

18/12/2024, 09:30

The bootstrap method offers a powerful framework for solving theoretical models by systematically solving the optimization problem from the constraints imposed by kinematic and dynamic equalities and inequalities. This approach has demonstrated remarkable efficacy in tackling matrix models, especially in the large N limit and in scenarios complicated by sign problems. In this presentation, we...

11. Thermal Bootstrap of Matrix Quantum Mechanics

Barak Gabai (EPFL - Ecole Polytechnique Federale Lausanne (CH))

18/12/2024, 10:45

Matrix QM bootstrap is a method which utilizes the equations of motion together with norm positivity to allow for a numerical determination of moments to high precision. I will cover the general principles and some of the recent advances. In Particular, I will explain how to extend the bootstrap to finite temperatures and present comparisons of the results for 1 Matrix QM to analytic methods.

12. The polarised IKKT model

Sean Hartnoll

18/12/2024, 11:45

The IKKT matrix model provides a holographic framework in which all spacetime dimensions are emergent. Despite being much more technically tractable than large N field theory path integrals, the model remains poorly understood. This is largely because the ’timeless’ nature of the model means that the standard renormalisation group interpretation of the emergent ‘radial’ dimension is not...

13. Discussion

Henry Lin, Shota Komatsu (CERN)

18/12/2024, 14:30

14. Towards Hamiltonian String Field Theory, and Dirichlet Walls

Aron Wall

19/12/2024, 09:45

I will present preliminary work towards formulating string field theory in a Hamiltonian (equal time slice) formalism. This problem is closely related (via a Wick rotation) to the problem of finding consistent End-Of-The-World boundary conditions for string scattering, in which the metric satisfies Dirichlet boundary conditions (rather than Neumann). In defining the transition amplitudes,...

15. Bootstrapping Higher-Derivative Corrections in M-theory

Ross Dempsey

19/12/2024, 11:00

We study higher-derivative corrections to the graviton scattering amplitude in M-theory, via the stress tensor correlator of 3d N=8 ABJM theory. We use the conformal bootstrap combined with an integral constraint derived from supersymmetric localization in order to constrain semishort OPE coefficients appearing in the stress tensor correlator. We obtain islands that are significantly more...

16. Bootstrapping observables in Planar N=4 SYM

Zahra Zahraee

19/12/2024, 12:00

In this talk, we explore the bootstrap approach for various observables in planar maximally supersymmetric Yang-Mills theory, including the spectral data, stress-tensor correlator, and energy-energy correlator (EEC). We begin by demonstrating why the conventional bootstrap approach fails in the planar limit. Then, we introduce a set of sum rules derived from dispersion relations, specifically...

17. Discussion

Ning Su (California Institute of Technology & Massachusetts Institute of Technology), Silviu Pufu

19/12/2024, 14:30

18. Holographic correlators beyond maximal supersymmetry

Prof. Nikolay Bobev (KU Leuven Association)

20/12/2024, 09:30

I will summarize an example of the AdS/CFT correspondence between a 4d N=1 SCFT arising as a mass deformation of the N=4 SYM theory and an AdS_5 flux background of type IIB string theory. The SCFT does not admit a weakly coupled description which makes the calculation of its correlation functions challenging. I will explain how one can leverage the bulk gravitational description, in...

19. AdS solutions of string field theory

Minjae Cho (Brown University)

20/12/2024, 10:45

Strings in anti-de Sitter (AdS) spacetime offer prototypical instances of holography, yet a first-principles formulation of string theory in most of such backgrounds remains underdeveloped. In this talk, we explore how string field theory provides a systematic framework for studying strings in AdS. Beginning with a gentle introduction to string field theory, we discuss two main examples: (1)...

20. String perturbation theory of Klebanov-Strassler throat

Manki Kim (CERN)

20/12/2024, 11:45

In this talk, I will explain how to study string perturbation theory of the Klebanov-Strassler solution in the large radius approximation based on open-closed superstring field theory. Combining the large radius expansion and a double scaling limit, we find a perturbative background solution of open-closed superstring field theory that corresponds to the Klebanov-Strassler solution. To...

21. Black Holes in the Berkooz-Douglas Matrix Model

Rishi Mouland (DAMTP, University of Cambridge)

I will review the holographic duality enjoyed by the strongly-coupled limit of U(K) BFSS with N fundamental hypermultiplets, and compare it to that of plain BFSS and BMN. I will describe the construction of a broad class of black hole solutions, whose description in supergravity can be trusted at large K and N. By studying an index of the matrix model, I will recover precisely the...

8. Modular Properties of the Low Energy Expansion

Michael Green (Departm.of Physics(QMW-Coll.))

Modular forms arise in two rather distinct contexts in type II superstring scattering amplitudes. Firstly, the coefficients of terms in the low energy expansion of the integrand of the genus-one amplitude are integrals of non-holomorphic modular forms over the complex structure, $\tau$, of the world-sheet torus. These are superpositions of modular graph forms (MGFs) which have been the subject...

22. Modular Properties of the Low Energy Expansion

Michael Green (Departm.of Physics(QMW-Coll.))

Modular forms arise in two rather distinct contexts in type II superstring scattering amplitudes. Firstly, the coefficients of terms in the low energy expansion of the integrand of the genus-one amplitude are integrals of non-holomorphic modular forms over the complex structure, $\tau$, of the world-sheet torus. These are superpositions of modular graph forms (MGFs) which have been the subject...