Lattice Holographic Cosmology by Kostas Skenderis

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PROGRAM

Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography (ONLINE)

ORGANIZERS: David Berenstein (UCSB), Simon Catterall (Syracuse University), Masanori Hanada (University of Surrey), Anosh Joseph (IISER, Mohali), Jun Nishimura (KEK Japan), David Schaich (University of Liverpool) and Toby Wiseman (Imperial College London)

DATE: 18 January 2021 to 22 January 2021

VENUE: Online

Due to the ongoing COVID-19 pandemic, the original program has been postponed. This mini program is a precursor to the original program.
The goal of the second edition of the program ‘Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography’ is to bring together theorists working in areas of lattice field theory, string theory and quantum gravity, to discuss the state of art nonperturbative methods and numerical approaches to tackle current and relevant research problems.
The program has strong pedagogical component as it also aims to build a growing community of theoretical scientists in India, to engage more in nonperturbative field theories interconnecting string theory, supersymmetric/superconformal field theories, quantum black holes, gravity, and holography.

This program can be broadly divided into the following five topics.

Lattice Supersymmetric Field Theories

Matrix Models, Quantum Black Holes, and Gravity

Large N

Formal Developments on the Lattice

Quantum Information and Quantum Computation for Quantum Gravity/String Theory, Holographic Renormalization

As an invitation to the main program, this mini program will include a series of research talks on the following topics and accompanying discussion sessions.

Chiral Lattice Fermions from Staggered Fields by Simon Catterall (Syracuse University, USA)
Asymptotic Freedom with Qubits by Shailesh Chandrasekharan (Duke University, USA)
The Weak Cosmic Censorship Conjecture: Current Status by Pau Figueras (Queen Mary University of London, UK)
Tensor Network Methods in Four Dimensional Field Theory by Daisuke Kadoh (National Center for Theoretical Sciences, Taiwan)
Lattice Quantum Gravity and Asymptotic Safety by Jack Laiho (Syracuse University, USA)
Complex Langevin Simulations of the Matrix Model for Superstrings by Jun Nishimura (KEK, Japan)
Progress and Prospects of Lattice Supersymmetry by David Schaich (University of Liverpool, UK)
Lattice Holographic Cosmology by Kostas Skenderis (University of Southampton, UK)
Quantum Gravity in the Lab by Brian Swingle (University of Maryland, USA)
Target Space Entanglement and Bekenstein Hawking Entropy by Sandip Trivedi (TIFR, India)
Semi-Abelian Gauge Theories, Non-invertible Symmetry, and String Tensions Beyond N-ality by Mithat Unsal (North Carolina State University, USA)

0:00:00 08:30 pm, 21 JANUARY 2021
0:00:31 Outline
0:01:21 Holography Cosmology
0:02:33 Why holographic cosmology
0:03:27 Planck 2015 vs ACDM vs holographic model (TT)
0:05:42 References
0:07:13 Gauge/gravity duality: general features
0:09:27 RG transformations
0:11:30 Holographic Universe vs Inflation
0:13:45 Time and RG-flow
0:17:16 Wavefunction of the Universe
0:18:27 Holographic formulae for power spectra [McFadden, KS (2009)]
0:20:06 Holographic formulae for power spectra( [McFadden, KS (2009)
0:23:45 Models for non-geometric universe
0:26:28 Energy-momentum tensor
0:28:33 Holographic power spectrum
0:29:55 Universal predictions
0:31:23 Results
0:35:21 Model selection
0:36:42 Holographic Lattice Cosmology
0:38:51 Fit to Planck
0:39:21 Is this model perturbative?
0:40:16 Using Lattice
0:40:58 A very simple model and the initial singularity
0:43:09 Holographic Universe vs Inflation
0:45:31 Parameters
0:47:32 Discretized model
0:47:57 Massless point
0:52:05 Finite-size scaling behaviour
0:52:11 Massless point: non-perturbative
0:55:18 Critical mass: central fit for N = 2
0:57:33 IR finiteness of critical mass
1:03:21 Energy momentum tensor
1:04:00 Energy momentum tensor: discretisation
1:05:16 Renormalization
1:07:18 Wilson flow
1:08:52 We need to ...
1:09:17 2-point function [preliminary results] tr $2 tr 2)
1:10:07 Conclusions
1:14:05 Holographic power spectrum
1:16:14 Massless point: non-perturbative
1:22:41 Singularity resolution
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