Conference

Displaying 2881 - 2892 of 4979

Unparticles and Fermi Arcs in the Cuprates

Philip Phillips University of Illinois Urbana-Champaign

November 07, 2013

PIRSA:13100131
Hofstadter’s Butterfly and interaction driven quantum Hall ferromagnetism in graphene

Philip Kim Columbia University

November 07, 2013

PIRSA:13110070
TBA

Johannes Walcher McGill University

October 25, 2013

PIRSA:13100127
The mathematics of G_2 conifolds for M-theory

Spiro Karigiannis University of Waterloo

October 25, 2013

PIRSA:13100126
Heterotic Flux Geometry from (0,2) Gauge Dynamics

Callum Quigley Kirkland & Ellis

October 24, 2013

PIRSA:13100125
TBA

David Favero

October 24, 2013

PIRSA:13100124
Resurgent transseries and the holomorphic anomaly

October 24, 2013

PIRSA:13100123
TBA

Vincent Bouchard University of Alberta

October 24, 2013

PIRSA:13100122
A symplectic approach to generalized complex geometry

Marco Gualtieri University of Toronto

October 23, 2013

PIRSA:13100121
On refined stable pair invariants for del Pezzo surfaces and the 1/2 K3

Albrecht Klemm Rheinische Friedrich-Wilhelms-Universität Bonn

October 23, 2013

PIRSA:13100120
Wall-crossing structures

Yan Soibelman Kansas State University

October 23, 2013

PIRSA:13100119
Blobbed topological recursion

Gaetan Borot

October 22, 2013

PIRSA:13100118

Unparticles and Fermi Arcs in the Cuprates

Philip Phillips University of Illinois Urbana-Champaign

November 07, 2013

PIRSA:13100131

One of the open problems in strong correlation physics is whether or not Luttinger's theorem works for doped Mott insulators, particularly in the pseudo gap regime where the pole-like excitations form only a Fermi arc. I will begin this talk by using this theorem to count particles and show that it fails in general for the Mott state. The failure stems from the divergent self energy that underlies Mottness. When such a divergence is present, charged degrees of freedom are present that have no particle interpretation. I will argue that such excitations are governed by a non-trivial IR fixed point and the propagator of which is of the unparticle form proposed by Georgi. I will show how a gravity dual can be used to determine the scaling dimension of the unparticle propagator. I will close by elucidating a possible superconducting instability of unparticles and demonstrate that unparticle stuff is likely to display fractional statistics in the dimensionalities of interest for strongly correlated electron matter. Time permitting, an underlying theory of the strongly coupled fixed point will be outlined.
Hofstadter’s Butterfly and interaction driven quantum Hall ferromagnetism in graphene

Philip Kim Columbia University

November 07, 2013

PIRSA:13110070

Electrons moving in a periodic electric potential form Bloch energy bands where the mass of electrons are effectively changed. In a strong magnetic field, the cyclotron orbits of free electrons are quantized and Landau levels forms with a massive degeneracy within. In 1976, Hofstadter showed that for 2-dimensional electronic system, the intriguing interplay between these two quantization effects can lead into a self-similar fractal set of energy spectrum known as “Hofstadter’s Butterfly.” Experimental efforts to demonstrate this fascinating electron energy spectrum have continued ever since. Recent advent of graphene, where its Bloch electrons can be described by Dirac feremions, provides a new opportunity to investigate this half century old problem experimentally. In this presentation, I will discuss the experimental realization Hofstadter’s Butterfly via substrate engineered graphene under extremely high magnetic fields controlling two competing length scales governing Dirac-Bloch states and Landau orbits, respectively. In addition, the strong Coulomb interactions and approximate spin-pseudo spin symmetry are predicted to lead to a variety of integer quantum Hall ferromagnetic and fractional quantum Hall states and the quantum phase transition between them in graphene. I will discuss several recent experimental evidences to demonstrate the role of the electron interaction in single and bilayer graphene.
TBA

Johannes Walcher McGill University

October 25, 2013

PIRSA:13100127
The mathematics of G_2 conifolds for M-theory

Spiro Karigiannis University of Waterloo

October 25, 2013

PIRSA:13100126

G_2 manifolds play the analogous role in M-theory that Calabi-Yau manifolds play in string theory. There has been work in the physics community on conjectural "mirror symmetry" in this context, and it has also been observed that singularities are necessary for a satisfactory theory. After a very brief review of these physical developments (by a mathematician who doesn't necessarily understand the physics), I will give a mathematical introduction to G_2 conifolds. I will then proceed to give a detailed survey of recent mathematical developments on G_2 conifolds, including desingularization, deformation theory, and possible constructions of G_2 conifolds. This includes separate joint works of myself with Jason Lotay and with Dominic Joyce.
Heterotic Flux Geometry from (0,2) Gauge Dynamics

Callum Quigley Kirkland & Ellis

October 24, 2013

PIRSA:13100125

Chiral gauge theories in two dimensions with (0,2) supersymmetry admit a much broader, and more interesting, class of vacuum solutions than their better studied (2,2) counterparts. In this talk, we will explore some of the possibilities that are offered by this additional freedom by including field-dependent theta-angles and FI parameters. The moduli spaces that will result from this procedure correspond to heterotic string backgrounds with non-trivial H-flux and NS-brane sources. Along the way, a remarkable relationship between (0,2) gauge anomalies and H-flux will emerge.
TBA

David Favero

October 24, 2013

PIRSA:13100124
Resurgent transseries and the holomorphic anomaly

October 24, 2013

PIRSA:13100123

Topological string theory is restricted enough to be solved completely in the perturbative sector, yet it is able to compute amplitudes in physical string theory and it also enjoys large N dualities. These gauge theory duals, sometimes in the form of matrix models, can be solved past perturbation theory by plugging transseries ansätze into the so called string equation. Based on the mathematics of resurgence, developed in the 80's by J. Ecalle, this approach has been recently applied with tremendous success to matrix models and their double scaling limits (Painlevé I, etc). A natural question is if something similar can be done directly in the topological closed string sector. In this seminar I will show how the holomorphic anomaly equations of BCOV provide the starting point to derive a master equation which can be solved with a transseries ansatz. I will review the perturbative sector of the solutions, its structure, and how it generalizes for higher instanton nonperturbative sectors. Resurgence, in the guise of large order behavior of the perturbative sector, will be used to derive the holomorphicity of the instanton actions that control the asymptotics of the perturbative sector, and also to fix the holomorphic ambiguities in some cases. The example of local CP^2 will be used to illustrate these results. This work is based on 1308.1695 and on-going research in collaboration with J.D. Edelstein, R. Schiappa and M. Vonk.
TBA

Vincent Bouchard University of Alberta

October 24, 2013

PIRSA:13100122
A symplectic approach to generalized complex geometry

Marco Gualtieri University of Toronto

October 23, 2013

PIRSA:13100121

I will describe a new method for understanding a large class of
generalized complex manifolds, in which we view them as usual
symplectic structures on a manifold with a kind of log structure. I
will explain this structure in detail and explain how it can be used
to prove a Tian-Todorov unobstructedness theorem as well as
topological obstructions for existence of nondegenerate generalized
complex structures.
On refined stable pair invariants for del Pezzo surfaces and the 1/2 K3

Albrecht Klemm Rheinische Friedrich-Wilhelms-Universität Bonn

October 23, 2013

PIRSA:13100120
Wall-crossing structures

Yan Soibelman Kansas State University

October 23, 2013

PIRSA:13100119

The concept of wall-crossing structure (WCS for short) was introduced recently in my joint work with Maxim Kontsevich. WCS appear in different disguises in the theory of Donaldson-Thomas invariants of Calabi-Yau 3-folds, quiver representations,integrable systems of Hitchin type, cluster algebras, Mirror Symmetry, etc.
I plan to discuss the definition of WCS and illustrate it in several well-known examples. If time permits I will speak about a special class of WCS called rational WCS. It gives rise to wall-crossing formulas with factors which are algebraic functions. Conjecturally such WCS appear in Hitchin integrable systems with singularities.
Blobbed topological recursion

Gaetan Borot

October 22, 2013

PIRSA:13100118

Hermitian matrix models have been used since the early days of 2d quantum gravity, as generating series of discrete surfaces, and sometimes toy models for string theory. The single trace matrix models (with measure dM exp( - N Tr V(M)) have been solved in a 1/N expansion in the 90s by the moment method of Ambjorn et al. Later, Eynard showed that it can be rewritten more intrinsically in terms of algebraic geometry of the spectral curve, and formulated the so-called topological recursion. In a similar way, we will show that double hermitian matrix models are solved by the same topological recursion, and more generally, that arbitrary hermitian matrix models are solved by a "blobbed topological recursion", whose properties still have to be investigated.

Title	Speaker(s)	Date	Talk Type	Info link
Unparticles and Fermi Arcs in the Cuprates	Philip Phillips	2013-11-07	Conference	View details
Hofstadter’s Butterfly and interaction driven quantum Hall ferromagnetism in graphene	Philip Kim	2013-11-07	Conference	View details
TBA	Johannes Walcher	2013-10-25	Conference	View details
The mathematics of G_2 conifolds for M-theory	Spiro Karigiannis	2013-10-25	Conference	View details
Heterotic Flux Geometry from (0,2) Gauge Dynamics	Callum Quigley	2013-10-24	Conference	View details
TBA	David Favero	2013-10-24	Conference	View details
Resurgent transseries and the holomorphic anomaly		2013-10-24	Conference	View details
TBA	Vincent Bouchard	2013-10-24	Conference	View details
A symplectic approach to generalized complex geometry	Marco Gualtieri	2013-10-23	Conference	View details
On refined stable pair invariants for del Pezzo surfaces and the 1/2 K3	Albrecht Klemm	2013-10-23	Conference	View details
Wall-crossing structures	Yan Soibelman	2013-10-23	Conference	View details
Blobbed topological recursion	Gaetan Borot	2013-10-22	Conference	View details

Format results