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Cosets and Analogue Monsters in Rational CFT by Sunil Mukhi

375 views · Published 12 January 2017 · 33:14 · Indexed 27 September 2026

Channel: International Centre for Theoretical Sciences · 2017 · Science & Technology

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11 January 2017 to 13 January 2017

VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru

String theory has come a long way, from its origin in 1970's as a possible model of strong interactions, to the present day where it sheds light not only on the original problem of strong interactions, but also on quantum gravity, black hole physics, hydrodynamics, condensed matter systems and particle physics, besides providing tools to explore new structures in quantum field theory and mathematics.

String theorists from India have played a major role in the development of the subject. The meeting will celebrate the ongoing journey of String theory in the form of exposition and discussion of developments at its frontier. There will be talks by the invited speakers from all around the world covering various frontier areas of string theory.

The talks will broadly cover the following areas:

Black hole physics
Formal developments in String theory
Applications of gauge gravity duality to non-equilibium physics
Supersymmetric quantum field theories
Cosmology
Hydrodynamics
Quantum entanglement
Bose-Fermi dualities and application to condensed matter
Conformal field theory

There will be a special session to felicitate Spenta R. Wadia for his contribution to science and institution-building in India.

CONTACT US
[email protected]

PROGRAM LINK
https://www.icts.res.in/discussion-meeting/STPP2017

Table of Contents (powered by https://videoken.com)
0:00:00 String Theory: Past and Present 
0:00:08 Cosets and Analogue Monsters in Rational CFT
0:00:40 Based on:
0:01:58 Introduction
0:06:55 Modular invariance of the partition function is ensured if the characters transform as vector-valued modular functions:
0:10:40 Two-character theories
0:11:28 The m1 states above the identity correspond to spin-1 currents in the CFT:
0:12:20 Remarkably, 7 of the cases we found correspond perfectly to well-known affine theories:
0:15:03 What are these theories?
0:15:28 We can learn about these theories from the Kac-Moody generators, equal in number to m1
0:16:12 Now it was shown in [Mathur-Mukhi-Sen (1989)] that in such a situation, g1/k1 is the same for each factor
0:17:00 Coset construction
0:18:22 As a concrete example, consider Schellekens theories No.64,65.
0:20:11 We considered known 3- and 4-character WZW models and found new CFT's that are dual to them in the same way.
0:21:53 Analogue Monsters
0:28:05 The duals for the non-unitary theories have negative integer degeneracies, but for the Ising Model.
0:31:13 This suggests a rather intriguing conjecture: that every minimal model of central charge c has a dual theory with c=24-c
0:32:11 Comments and Conclusions

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