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49:58 Institut des Hautes Études Scientifiques (IHÉS) English 2013

Counterterms in gravity and N = 8 Supergravity

I will discuss counterterms in gravity using the light-cone frame formulation and show that also in this fully gauge fixed formulation we do need a local symmetry to find the correct counter terms.
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
56:40 Institut des Hautes Études Scientifiques (IHÉS) English 2013

The correlation numbers in Minimal Liouville gravity

The correlation numbers in Minimal Liouville gravity from Douglas string equation We continue the study of (q, p) Minimal Liouville Gravity with the help of Douglas string equation. Generalizing the earlier results we demonstrate that there exist such coordinates
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
52:27 Institut des Hautes Études Scientifiques (IHÉS) English 2013

N = 4 Super Yang-Mills Theory on the Coulomb Branch

I will present a conjecture relating the world-volume action of a D3-brane in an AdS5 X S5 background to the effective action of N = 4 Super Yang-Mills Theory on the Coulomb branch.
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:06:07 Institut des Hautes Études Scientifiques (IHÉS) English 2013

Where does quantum field theory come from?

This will be an interim report on a long-running project to construct a mechanism that produces spacetime quantum field theory; to indentify possible exotic, non-canonical low- energy phenomena in SU(2) and SU(3) gauge theories produced by this mechanism; and to calculate signals of these phenomena to see if they can be used to check whether the proposed mechanism operates in the real world. The last effort is still ongoing.
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:09:30 Institut des Hautes Études Scientifiques (IHÉS) English 2013

Out of equilibrium

  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
55:24 Institut des Hautes Études Scientifiques (IHÉS) English 2013

Real Time Imaging of Quantum and Thermal Fluctuations

Tremendous progresses have been achieved in the last decade in realising and manipulating stable and controllable quantum systems, and these made possible to experimentally study fundamental questions posed in the early days of quantum mechanics. We shall theoretical discuss recent cavity QED experiments on non- demolition quantum measurements. While they nicely illustrate postulates of quantum mechanics and the possibility to implement efficient quantum state manipulations, these experiments pose a few questions such as: What does it mean to observe a progressive wave function collapse in real time? How to describe it? What do we learn from them? Their analysis will allow us one hand to link these experiments to basics notions of probability or information theory, and on the other hand to touch upon notions of quantum noise. As an illustration, we shall look at quantum systems in contact with a heat bath subject to quantum transitions between energy levels upon absorption or emission of energy quanta. Isolating the two indispensable mechanisms in competition, we shall describe the main physical features of thermally activated quantum jumps.
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
58:16 Institut des Hautes Études Scientifiques (IHÉS) English 2013

Integrable deformations of sine-Liouville model and duality

We show that sine-Lioville CFT, which is dual to Witten 2-d black hole model, has three different types of integrable perturbations. The corresponding theories also possess non- trivial duality properties. The first two models give the examples of weak-strong coupling dualities between charged fermions and bosons. The third type gives two different field theories, which are dual to massive and massless non-linear sigma models.
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:04:18 Institut des Hautes Études Scientifiques (IHÉS) English 2013

On one-point functions for shinh-Gordon model at finite temperature

Using the fermionic basis we conjecture formulae for the one-point functions of the primary fields and their descendants for sinh-Gordon model. The conjecture is checked against known results: low and high temperature limits, classical limit.
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
58:33 Institut des Hautes Études Scientifiques (IHÉS) English 2013

Integrability and Supersymmetry

I review the recent developments about the relation between supersymmetric gauge theories and quantum integrable systems.
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
50:51 Institut des Hautes Études Scientifiques (IHÉS) English 2013

An integral transform for elliptic four-point conformal blocks in Liouville theory

By applying an integral transformation on a version of the Knizhnik-Zamolodchikov equation, we obtain explicit representations of Liouville theory four-point conformal blocks for values of their external dimensions on a lattice where their expressions were not previously known.
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
57:23 Institut des Hautes Études Scientifiques (IHÉS) English 2013

Extensions of usual and deform vertex algebras

There are two natural ways to constract the new vertex algebras.One -as subalgebra in the known one.Bosonisation is the special case of this construction.The second idea is opposite -to get the new algebras as exstensions ,in this case we add to vertex algebra some combination of vertex operators.We discuss several examples .Some of them are related with AGT bisiness.
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
1:04:36 Institut des Hautes Études Scientifiques (IHÉS) English 2013

Classical conformal blocks and Painleve IV

In the limit of large central charge and large conformal dimensions Virasoro conformal blocks exponentiate, leading to classical conformal blocks. The latter are of much interest, in particular they give solution to the monodromy problem of ordinary linear differential equations with regular singularities. It will be shown how to relate four-point classical conformal blocks to classical action evaluated on special solutions of Painleve VI equation.
  • Published: 2013
  • Publisher: Institut des Hautes Études Scientifiques (IHÉS)
  • Language: English
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