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The Geometry of Supersymmetric Partition Functions

Guido Festuccia Institute for Advanced Study (IAS) - School of Mathematics
October 29, 2013

PIRSA:13100130
Quantum Fields and Strings
Minimal Distances and the RG Flow
October 29, 2013

PIRSA:13100069
Particle Physics
Mapping Mass Across The Sky: CMB Lensing Measurements Past and Future

Blake Sherwin Princeton University
October 29, 2013

PIRSA:13100075
Cosmology
13/14 PSI - Quantum Field Theory I - Lecture 13

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 25, 2013

PIRSA:13100038
TBA

Johannes Walcher McGill University

October 25, 2013

PIRSA:13100127
13/14 PSI - Statistical Mechanics - Lecture 14

Anton Burkov University of Waterloo

October 25, 2013

PIRSA:13100062
The mathematics of G_2 conifolds for M-theory

Spiro Karigiannis University of Waterloo

October 25, 2013

PIRSA:13100126
General Relativity for Cosmology - Lecture 12

Achim Kempf University of Waterloo

October 24, 2013

PIRSA:13100009
Heterotic Flux Geometry from (0,2) Gauge Dynamics

Callum Quigley Kirkland & Ellis

October 24, 2013

PIRSA:13100125
13/14 PSI - Quantum Field Theory I - Lecture 12

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 24, 2013

PIRSA:13100037
TBA

David Favero

October 24, 2013

PIRSA:13100124
Asymptotically safe matrix models

Tim Koslowski Technical University of Applied Sciences Würzburg-Schweinfurt
October 24, 2013

PIRSA:13100067
Quantum Gravity

The Geometry of Supersymmetric Partition Functions

Guido Festuccia Institute for Advanced Study (IAS) - School of Mathematics
October 29, 2013

PIRSA:13100130
Quantum Fields and Strings
Three-dimensional N=2 theories with a U(1)_R symmetry, can be placed on a compact three manifold M preserving some supersymmetry if and only if M admits a transversely holomorphic foliation (THF). I will show that the partition function of the resulting theory is independent of the metric and depends holomorphically on the moduli of the THF. When applied to supersymmetric field theories on manifolds diffeomorphic to S^3 and S^2 x S^1, this result explains many of the properties observed in explicit determinations of their partition functions.
Minimal Distances and the RG Flow
October 29, 2013

PIRSA:13100069
Particle Physics
We will discuss the renormalization group flow between different classes of CFTs in four dimensions and study possible lower bounds on the "distances" between these theories.
Mapping Mass Across The Sky: CMB Lensing Measurements Past and Future

Blake Sherwin Princeton University
October 29, 2013

PIRSA:13100075
Cosmology
Measurements of gravitational lensing in the Cosmic Microwave Background (CMB) directly probe the projected distribution of dark matter out to high redshifts. The CMB lensing maps thus encode a wealth of information about both fundamental physics (e.g., dark energy and neutrino properties) and high-redshift astrophysics. I will illustrate this by first reviewing measurements of CMB lensing with the Atacama Cosmology Telescope, discussing both CMB lensing auto-correlations and cross-correlations with quasars, galaxies and optical lensing. I will then discuss ongoing and upcoming measurements of CMB polarization lensing with the POLARBEAR and ACTPol experiments and explain the great scientific potential of such polarization lensing studies in the very near future.
13/14 PSI - Quantum Field Theory I - Lecture 13

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 25, 2013

PIRSA:13100038
TBA

Johannes Walcher McGill University

October 25, 2013

PIRSA:13100127
13/14 PSI - Statistical Mechanics - Lecture 14

Anton Burkov University of Waterloo

October 25, 2013

PIRSA:13100062
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.
General Relativity for Cosmology - Lecture 12

Achim Kempf University of Waterloo

October 24, 2013

PIRSA:13100009
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.
13/14 PSI - Quantum Field Theory I - Lecture 12

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 24, 2013

PIRSA:13100037
TBA

David Favero

October 24, 2013

PIRSA:13100124
Asymptotically safe matrix models

Tim Koslowski Technical University of Applied Sciences Würzburg-Schweinfurt
October 24, 2013

PIRSA:13100067
Quantum Gravity
The functional renormalization group is a tool in the systematic search for Euclidean QFTs that works with very little input: All one needs to specify is a field content, symmetries and a notion of locality. The functional renormalization group then allows one to scan this theory space for bare actions for which the path integral can be performed nonperturbatively. These actions appear as fixed points (and relevant deformations) of the renormalization group flow (so-called asymptotic safety). Such a systematic search has so far not been performed for the tensor model approach to quantum gravity. We investigate matrix models for 2-dimensional gravity and the Grosse-Wulkenhaar model, which is a simple tensor model for a 4D noncommutative scalar field theory, as a first step. I will report on work, done in collaboration with Astrid Eichhorn and Alessandro Sfondrini, where we confirmed asymptotic safety purely through functional RG methods. Based on the lessons learned from these models I will summarize how the usual continuum RG approach has to be generalized for the investigation of tensor models and conclude with a recipe for the investigation of general tensor models.

Title	Date	Collection	Type	Info
The Geometry of Supersymmetric Partition Functions	2013‑10‑29	Quantum Fields and Strings	Scientific Series	View details
Minimal Distances and the RG Flow	2013‑10‑29	Particle Physics	Scientific Series	View details
Mapping Mass Across The Sky: CMB Lensing Measurements Past and Future	2013‑10‑29	Cosmology and Gravitation	Scientific Series	View details
13/14 PSI - Quantum Field Theory I - Lecture 13	2013‑10‑25	13/14 PSI - Quantum Field Theory I	Course	View details
TBA	2013‑10‑25	Physics Around Mirror Symmetry	Conference	View details
13/14 PSI - Statistical Mechanics - Lecture 14	2013‑10‑25	13/14 PSI - Statistical Mechanics	Course	View details
The mathematics of G_2 conifolds for M-theory	2013‑10‑25	Physics Around Mirror Symmetry	Conference	View details
General Relativity for Cosmology - Lecture 12	2013‑10‑24	General Relativity for Cosmology - 2013	Course	View details
Heterotic Flux Geometry from (0,2) Gauge Dynamics	2013‑10‑24	Physics Around Mirror Symmetry	Conference	View details
13/14 PSI - Quantum Field Theory I - Lecture 12	2013‑10‑24	13/14 PSI - Quantum Field Theory I	Course	View details
TBA	2013‑10‑24	Physics Around Mirror Symmetry	Conference	View details
Asymptotically safe matrix models	2013‑10‑24	Quantum Gravity	Scientific Series	View details

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