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Exact results for boundaries and domain walls in 2d supersymmetric theories

Takuya Okuda University of Tokyo

October 22, 2013

PIRSA:13100115
13/14 PSI - Quantum Field Theory I - Lecture 9

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 21, 2013

PIRSA:13100034
Coisotropic branes, surface defects and mirror symmetry

Emanuel Diaconescu

October 21, 2013

PIRSA:13100113
Hybrid conformal field theories

October 21, 2013

PIRSA:13100114
13/14 PSI - Statistical Mechanics - Lecture 10

Anton Burkov University of Waterloo

October 21, 2013

PIRSA:13100058
Some simple extensions of Mathieu Moonshine

Shamit Kachru Stanford University

October 21, 2013

PIRSA:13100112
Topics in QFT on Flat and Curved Spacetimes - Lecture 9

Ugo Moschella University of Insubria

October 21, 2013

PIRSA:13100013
Heavy particle effective field theory: formalism, dark matter and the proton size puzzle

Richard Hill University of Kentucky
October 18, 2013

PIRSA:13100107
High Energy Physics
All AdS7 solutions of type II supergravity

Alessandro Tomasiello University of Milano-Bicocca
October 18, 2013

PIRSA:13100108
High Energy Physics
13/14 PSI - Statistical Mechanics - Lecture 9

Anton Burkov University of Waterloo

October 18, 2013

PIRSA:13100055
General Relativity for Cosmology - Lecture 10

Achim Kempf University of Waterloo

October 17, 2013

PIRSA:13100106
Vector Beta Function

Yu Nakayama University of California, Berkeley
October 17, 2013

PIRSA:13100082
High Energy Physics

Exact results for boundaries and domain walls in 2d supersymmetric theories

Takuya Okuda University of Tokyo

October 22, 2013

PIRSA:13100115

We apply supersymmetric localization to N=(2,2) gauged linear sigma models on a hemisphere, with boundary conditions, i.e., D-branes, preserving B-type supersymmetries. We explain how to compute the hemisphere partition function for each object in the derived category of equivariant coherent sheaves, and argue that it depends only on its K theory class. The hemisphere partition function computes exactly the central charge of the D-brane, completing the well-known formula obtained by an anomaly inflow argument. We also formulate supersymmetric domain walls as D-branes in the product of two theories. We exhibit domain walls that realize the sl(2) affine Hecke algebra. Based on arXiv:1308.2217.
13/14 PSI - Quantum Field Theory I - Lecture 9

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 21, 2013

PIRSA:13100034
Coisotropic branes, surface defects and mirror symmetry

Emanuel Diaconescu

October 21, 2013

PIRSA:13100113
Hybrid conformal field theories

October 21, 2013

PIRSA:13100114

I will discuss a class of limiting points in the moduli space of d=2 (2,2) superconformal field theories. These SCFTs arise as IR limits of "hybrid" UV theories constructed as a fibration of a Landau-Ginzburg theory over a base Kaehler geometry. A significant generalization of Landau-Ginzburg and large radius geometric limit points, the hybrid theories can be used to probe general features of (2,2) and (0,2) SCFT moduli spaces.
13/14 PSI - Statistical Mechanics - Lecture 10

Anton Burkov University of Waterloo

October 21, 2013

PIRSA:13100058
Some simple extensions of Mathieu Moonshine

Shamit Kachru Stanford University

October 21, 2013

PIRSA:13100112

Mathieu Moonshine is a striking and unexpected relationship between the sporadic simple finite group M24 and a special Jacobi form, the elliptic genus, which arises naturally in studies of nonlinear sigma models with K3 target. In this talk, we first discuss its predecessor (Monstrous Moonshine), then discuss the current evidence in favor of Mathieu Moonshine. We also discuss extensions of this story involving `second quantized mirror symmetry,' relating heterotic strings on K3 to type II strings on Calabi-Yau threefolds.
Topics in QFT on Flat and Curved Spacetimes - Lecture 9

Ugo Moschella University of Insubria

October 21, 2013

PIRSA:13100013
Heavy particle effective field theory: formalism, dark matter and the proton size puzzle

Richard Hill University of Kentucky
October 18, 2013

PIRSA:13100107
High Energy Physics
Heavy particle expansions, familiar from heavy quark physics, have found important applications in the analysis of dark matter candidates and their interactions with the Standard Model. From a different direction, precision spectroscopy of muonic hydrogen has challenged QED and required more precise knowledge of proton structure. These problems have forced a closer examination of the construction of general heavy particle lagrangians at high orders in the 1/M expansion, and in the absence of known ultraviolet completions. Key aspects of this formalism, including the emergence of Lorentz invariance from "nonrelativistic" lagrangians, are reviewed, and several applications are presented. A status report on the proton radius puzzle is given.
All AdS7 solutions of type II supergravity

Alessandro Tomasiello University of Milano-Bicocca
October 18, 2013

PIRSA:13100108
High Energy Physics
In M-theory, the only AdS7 supersymmetric solutions are AdS7 × S4 and its orbifolds. In this talk, I will describe a classification of AdS7 supersymmetric solutions in type II supergravity. While in IIB none exist, in IIA with Romans mass (which does not lift to M-theory) there are many new ones. The classification starts from a pure spinor approach reminiscent of generalized complex geometry. Without the need for any Ansatz, the method determines uniquely the form of the metric and fluxes, up to solving a system of ODEs. Namely, the metric on M3 is that of an S2 fibered over an interval; this is consistent with the Sp(1) R-symmetry of the holographically dual (1,0) theory. One can obtain numerically many solutions, with D8 and/or D6 brane sources; topologically, the internal manifold M3 = S^3.
13/14 PSI - Statistical Mechanics - Lecture 9

Anton Burkov University of Waterloo

October 18, 2013

PIRSA:13100055
General Relativity for Cosmology - Lecture 10

Achim Kempf University of Waterloo

October 17, 2013

PIRSA:13100106
Vector Beta Function

Yu Nakayama University of California, Berkeley
October 17, 2013

PIRSA:13100082
High Energy Physics
We propose various properties of renormalization group beta functions for vector operators in relativistic quantum field theories. We argue that they must satisfy compensated gauge invariance, orthogonality with respect to scalar beta functions, Higgs-like relation among anomalous dimensions and a gradient property. We further conjecture that non-renormalization holds if and only if the vector operator is conserved. The local renormalization group analysis guarantees the first three within power counting renormalization. We verify all the conjectures in conformal perturbation theories and holography in the weakly coupled gravity regime.

Title	Date	Collection	Type	Info
Exact results for boundaries and domain walls in 2d supersymmetric theories	2013‑10‑22	Physics Around Mirror Symmetry	Conference	View details
13/14 PSI - Quantum Field Theory I - Lecture 9	2013‑10‑21	13/14 PSI - Quantum Field Theory I	Course	View details
Coisotropic branes, surface defects and mirror symmetry	2013‑10‑21	Physics Around Mirror Symmetry	Conference	View details
Hybrid conformal field theories	2013‑10‑21	Physics Around Mirror Symmetry	Conference	View details
13/14 PSI - Statistical Mechanics - Lecture 10	2013‑10‑21	13/14 PSI - Statistical Mechanics	Course	View details
Some simple extensions of Mathieu Moonshine	2013‑10‑21	Physics Around Mirror Symmetry	Conference	View details
Topics in QFT on Flat and Curved Spacetimes - Lecture 9	2013‑10‑21	Topics in QFT on Flat and Curved Spacetimes	Course	View details
Heavy particle effective field theory: formalism, dark matter and the proton size puzzle	2013‑10‑18	Particle Physics	Scientific Series	View details
All AdS7 solutions of type II supergravity	2013‑10‑18	Quantum Fields and Strings	Scientific Series	View details
13/14 PSI - Statistical Mechanics - Lecture 9	2013‑10‑18	13/14 PSI - Statistical Mechanics	Course	View details
General Relativity for Cosmology - Lecture 10	2013‑10‑17	General Relativity for Cosmology - 2013	Course	View details
Vector Beta Function	2013‑10‑17	Quantum Fields and Strings	Scientific Series	View details

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Format results

Exact results for boundaries and domain walls in 2d supersymmetric theories

13/14 PSI - Quantum Field Theory I - Lecture 9

Coisotropic branes, surface defects and mirror symmetry

Hybrid conformal field theories

13/14 PSI - Statistical Mechanics - Lecture 10

Some simple extensions of Mathieu Moonshine

Topics in QFT on Flat and Curved Spacetimes - Lecture 9

Heavy particle effective field theory: formalism, dark matter and the proton size puzzle

All AdS7 solutions of type II supergravity

13/14 PSI - Statistical Mechanics - Lecture 9

General Relativity for Cosmology - Lecture 10

Vector Beta Function

Exact results for boundaries and domain walls in 2d supersymmetric theories

13/14 PSI - Quantum Field Theory I - Lecture 9

Coisotropic branes, surface defects and mirror symmetry

Hybrid conformal field theories

13/14 PSI - Statistical Mechanics - Lecture 10

Some simple extensions of Mathieu Moonshine

Topics in QFT on Flat and Curved Spacetimes - Lecture 9

Heavy particle effective field theory: formalism, dark matter and the proton size puzzle

All AdS7 solutions of type II supergravity

13/14 PSI - Statistical Mechanics - Lecture 9

General Relativity for Cosmology - Lecture 10

Vector Beta Function