Quantum Fields and Strings

Displaying 409 - 420 of 734

Boundaries and Defects in 4d N=4 SYM

Masahito Yamazaki University of Tokyo
January 21, 2014

PIRSA:14010086
Quantum Fields and Strings
(0,4) sigma models and K3

Sarah Harrison Stanford University
December 18, 2013

PIRSA:13120071
Quantum Fields and Strings
Integrability (and Near Integrability) in Matrix-valued Field Theories

Axel Cortes Cubero City University of New York
December 13, 2013

PIRSA:13120068
Quantum Fields and Strings
(0,2) Trialities

Abhijit Gadde Stony Brook University
December 10, 2013

PIRSA:13120062
Quantum Fields and Strings
On Scale and Conformal Invariance in Four Dimensions

Anatoly Dymarsky Skolkovo Institute of Science and Technology
November 12, 2013

PIRSA:13110068
Quantum Fields and Strings
From the symmetric group to giant gravitons in super Yang-Mills theory
November 05, 2013

PIRSA:13110084
Quantum Fields and Strings
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
All AdS7 solutions of type II supergravity

Alessandro Tomasiello University of Milano-Bicocca
October 18, 2013

PIRSA:13100108
Quantum Fields and Strings
Vector Beta Function

Yu Nakayama University of California, Berkeley
October 17, 2013

PIRSA:13100082
Quantum Fields and Strings
Bootstrapping the O(N) Vector Models

David Simmons-Duffin Institute for Advanced Study (IAS)
October 15, 2013

PIRSA:13100074
Quantum Fields and Strings
Orbifolds and topological defects

Daniel Plencner Ludwig-Maximilians-Universität München (LMU)
September 17, 2013

PIRSA:13090061
Quantum Fields and Strings
From dlogs to dilogs

Arthur Lipstein Durham University
September 10, 2013

PIRSA:13090049
Quantum Fields and Strings

Boundaries and Defects in 4d N=4 SYM

Masahito Yamazaki University of Tokyo
January 21, 2014

PIRSA:14010086
Quantum Fields and Strings
We discuss boundary conditions and domain walls in 4d N=4 SYM, focusing on those preserving 4 supercharges. Along the way we revisit the old problem of the quantum-corrected moduli space of 3d N=2 theories.
(0,4) sigma models and K3

Sarah Harrison Stanford University
December 18, 2013

PIRSA:13120071
Quantum Fields and Strings
TBA
Integrability (and Near Integrability) in Matrix-valued Field Theories

Axel Cortes Cubero City University of New York
December 13, 2013

PIRSA:13120068
Quantum Fields and Strings
The principal chiral sigma model (PCSM) in 1+1 dimensions is asymptotically free and has as SU(N)-valued field with massive excitations. We have found all the exact form factors and two-point function of the Noether-current operators at large N using the integrable bootstrap program. At finite N, only the first non-trivial form factors are found, which give a good long distance approximation for the two-point function. We show how to use these new exact results to study non-integrable deformations. One example is the PCSM coupled to a Yang-Mills field. One can approximate the spectrum of the meson-like bound states using our form factors. We also examine an anisotropic version of (2+1)-dimensional Yang-Mills theory, which can be interpreted as an array of coupled PCSM’s.
(0,2) Trialities

Abhijit Gadde Stony Brook University
December 10, 2013

PIRSA:13120062
Quantum Fields and Strings
Motivated by the connection between 4-manifolds and 2d N=(0,2) theories, we study the dynamics of a fairly large class of 2d N=(0,2) gauge theories. We see that physics of such theories is very rich, much as the physics of 4d N=1 theories. We discover a new type of duality that is very reminiscent of the 4d Seiberg duality. Surprisingly, the new 2d duality is an operation of order three. We study the low energy physics and use elliptic genus to detect dynamical supersymmetry breaking.
On Scale and Conformal Invariance in Four Dimensions

Anatoly Dymarsky Skolkovo Institute of Science and Technology
November 12, 2013

PIRSA:13110068
Quantum Fields and Strings
I will be discussing relation between scale and conformal symmetry in unitary Lorentz invariant QFTs in four dimensions.
From the symmetric group to giant gravitons in super Yang-Mills theory
November 05, 2013

PIRSA:13110084
Quantum Fields and Strings
In this talk we will discuss how giant gravitons and their open string interactions emerge from super Yang-Mills Theory. This is accomplished by diagonalizing the one loop dilatation operator on a class of operators with bare dimension of order N. From the result of this diagonalization, the Gauss Law governing the allowed open string excitations of giant gravitons is clearly visible. In addition, we show that this sector of the theory is integrable.
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.
All AdS7 solutions of type II supergravity

Alessandro Tomasiello University of Milano-Bicocca
October 18, 2013

PIRSA:13100108
Quantum Fields and Strings
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.
Vector Beta Function

Yu Nakayama University of California, Berkeley
October 17, 2013

PIRSA:13100082
Quantum Fields and Strings
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.
Bootstrapping the O(N) Vector Models

David Simmons-Duffin Institute for Advanced Study (IAS)
October 15, 2013

PIRSA:13100074
Quantum Fields and Strings
We study the conformal bootstrap for 3D CFTs with O(N) global symmetry. We obtain rigorous upper bounds on the scaling dimensions of the first O(N) singlet and symmetric tensor operators appearing in the \phi_i x \phi_j OPE, where \phi_i is a fundamental of O(N). Comparing these bounds to previous determinations of critical exponents in the O(N) vector models, we find strong numerical evidence that the O(N) vector models saturate the bootstrap constraints at all values of N. We also compute general lower bounds on the central charge, giving numerical predictions for the values realized in the O(N) vector models. We compare our predictions to previous computations in the 1/N expansion, finding precise agreement at large values of N.
Orbifolds and topological defects

Daniel Plencner Ludwig-Maximilians-Universität München (LMU)
September 17, 2013

PIRSA:13090061
Quantum Fields and Strings
Orbifolding a 2-dimensional quantum field theory by a symmetry group admits an elegant description in terms of defect lines and their junction fields. This perspective offers a natural generalization of the concept of an orbifold, in which the role of the symmetry group is replaced by a defect with the structure of a (symmetric) separable Frobenius algebra. In this talk I will focus on the case of Landau-Ginzburg models, in which defects are described by matrix factorizations. After introducing the generalized twisted sectors and discussing topological bulk and boundary correlators in these sectors, I will present a simple proof of the Cardy condition and discuss some further consistency checks on the generalized orbifold theory. This talk is based on arXiv:1307.3141 with Ilka Brunner and Nils Carqueville.
From dlogs to dilogs

Arthur Lipstein Durham University
September 10, 2013

PIRSA:13090049
Quantum Fields and Strings
In this talk, I will describe a new form of hidden simplicity in the planar scattering amplitudes of N=4 super-Yang-Mills theory, notably that the loop integrands can be expressed in dlog form. I will explain how this form arises geometrically from computing the scattering amplitudes using a holomorphic Wilson loop in twistor space. I will also describe a systematic method for evaluating such integrals and use it to obtain a new formula for the 1-loop MHV amplitude. These techniques can be extended to higher loop amplitudes and may lead to a simple and efficient method for computing scattering amplitudes more generally.

Title	Speaker(s)	Date	Talk Type	Info
Boundaries and Defects in 4d N=4 SYM	Masahito Yamazaki	2014-01-21	Scientific Series	View details
(0,4) sigma models and K3	Sarah Harrison	2013-12-18	Scientific Series	View details
Integrability (and Near Integrability) in Matrix-valued Field Theories	Axel Cortes Cubero	2013-12-13	Scientific Series	View details
(0,2) Trialities	Abhijit Gadde	2013-12-10	Scientific Series	View details
On Scale and Conformal Invariance in Four Dimensions	Anatoly Dymarsky	2013-11-12	Scientific Series	View details
From the symmetric group to giant gravitons in super Yang-Mills theory		2013-11-05	Scientific Series	View details
The Geometry of Supersymmetric Partition Functions	Guido Festuccia	2013-10-29	Scientific Series	View details
All AdS7 solutions of type II supergravity	Alessandro Tomasiello	2013-10-18	Scientific Series	View details
Vector Beta Function	Yu Nakayama	2013-10-17	Scientific Series	View details
Bootstrapping the O(N) Vector Models	David Simmons-Duffin	2013-10-15	Scientific Series	View details
Orbifolds and topological defects	Daniel Plencner	2013-09-17	Scientific Series	View details
From dlogs to dilogs	Arthur Lipstein	2013-09-10	Scientific Series	View details

Quantum Fields and Strings

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