Triangle Seminars
Monday, 27 Oct 2014
Exact Results in SUSY: Lecture 3
Brian Wecht
(QMUL)
Abstract:
In this series of 4-5 2-hour lectures, I'll describe some of the powerful exact results that one can achieve in supersymmetric theories. The topics will be as follows:
Lecture 1: Non-Renormalization Theorems
Lecture 2: Classical and Quantum Moduli Spaces
Lecture 3: Superconformal Field Theories and Seiberg Duality
Lecture 4: Central Charges, a-maximization, and the a-theorem
Lecture 5 (if it happens): Brane Tilings and Dimers
In this series of 4-5 2-hour lectures, I'll describe some of the powerful exact results that one can achieve in supersymmetric theories. The topics will be as follows:
Lecture 1: Non-Renormalization Theorems
Lecture 2: Classical and Quantum Moduli Spaces
Lecture 3: Superconformal Field Theories and Seiberg Duality
Lecture 4: Central Charges, a-maximization, and the a-theorem
Lecture 5 (if it happens): Brane Tilings and Dimers
Posted by: QMW
Wednesday, 29 Oct 2014
Exact Results in SUSY: Lecture 4
Brian Wecht
(QMUL)
Abstract:
In this series of 4-5 2-hour lectures, I'll describe some of the powerful exact results that one can achieve in supersymmetric theories. The topics will be as follows:
Lecture 1: Non-Renormalization Theorems
Lecture 2: Classical and Quantum Moduli Spaces
Lecture 3: Superconformal Field Theories and Seiberg Duality
Lecture 4: Central Charges, a-maximization, and the a-theorem
Lecture 5 (if it happens): Brane Tilings and Dimers
In this series of 4-5 2-hour lectures, I'll describe some of the powerful exact results that one can achieve in supersymmetric theories. The topics will be as follows:
Lecture 1: Non-Renormalization Theorems
Lecture 2: Classical and Quantum Moduli Spaces
Lecture 3: Superconformal Field Theories and Seiberg Duality
Lecture 4: Central Charges, a-maximization, and the a-theorem
Lecture 5 (if it happens): Brane Tilings and Dimers
Posted by: QMW
Yangian symmetry of smooth super-Wilson loops in planar N=4 super-Yang-Mills
📍 London
Cristian Vergu
(King's College)
Abstract:
Light-like polygonal super-Wilson loops are dual to scattering
amplitudes in planar N=4 super-Yang-Mills and enjoy an
infinite-dimensional Yangian symmetry which extends the superconformal
symmetry. However, this symmetry is anomalous. In this talk we will
describe a super-Wilson loop on a smooth contour, which is free of
UV divergences and on which the superconformal symmetry operators are
not anomalous. We also study the action of level one Yangian generators
on the one-loop expectation value of this super-Wilson loop. [This is
work in progress with N.Beisert, D.Muller and J.Plefka]
Light-like polygonal super-Wilson loops are dual to scattering
amplitudes in planar N=4 super-Yang-Mills and enjoy an
infinite-dimensional Yangian symmetry which extends the superconformal
symmetry. However, this symmetry is anomalous. In this talk we will
describe a super-Wilson loop on a smooth contour, which is free of
UV divergences and on which the superconformal symmetry operators are
not anomalous. We also study the action of level one Yangian generators
on the one-loop expectation value of this super-Wilson loop. [This is
work in progress with N.Beisert, D.Muller and J.Plefka]
Posted by: KCL
From higher spins to strings: a constructive approach
Massimo Taronna
(Potsdam)
Abstract:
Starting from some examples, I will review various implications of classical consistency that have played a key role in the context of higher-spin theories (Vasiliev's equations) and holography. I will then review the current understanding higher-spin interactions involving totally-symmetric higher-spin fields and the associated classification of higher-spin algebras generalizing Coleman-Mandula theorem in the context of AdS/CFT. Finally, I will discuss the extension of this analysis to massive higher spins, towards a new understanding of string theory.
Starting from some examples, I will review various implications of classical consistency that have played a key role in the context of higher-spin theories (Vasiliev's equations) and holography. I will then review the current understanding higher-spin interactions involving totally-symmetric higher-spin fields and the associated classification of higher-spin algebras generalizing Coleman-Mandula theorem in the context of AdS/CFT. Finally, I will discuss the extension of this analysis to massive higher spins, towards a new understanding of string theory.
Posted by: IC
3d and 5d SUSY partition functions as q-deformed CFT correlators
Fabrizio Nieri
(Surrey)
Abstract:
In recent years, due to the method of supersymmetric localization, many exact results have been achieved in the study of supersymmetric gauge theories on compact spaces of various dimension and topology, leading to the discovery of surpraising structures. An important example is provided by the correspondence introduced by Alday, Gaiotto and Tachikawa, relating the partition functions of a large class of supersymmetric gauge theories on S4 and S2 to correlators in Liouville CFT. In this talk, I will explain how this picture can be lifted to higher dimensional gauge theories via the correspondence of partition functions on S5, S4xS1, S3 and S2xS1 to correlators in theories whose underlying symmetry is given by a quantum deformation of the Virasoro algebra. In particular, I will discuss how 3-point functions can be derived by the bootstrap approach and used to define this novel class of q-deformed CFTs. I will also discuss some aspects related to integrable structures in these models, such as reflection coefficients, as well as possible generalisation.
In recent years, due to the method of supersymmetric localization, many exact results have been achieved in the study of supersymmetric gauge theories on compact spaces of various dimension and topology, leading to the discovery of surpraising structures. An important example is provided by the correspondence introduced by Alday, Gaiotto and Tachikawa, relating the partition functions of a large class of supersymmetric gauge theories on S4 and S2 to correlators in Liouville CFT. In this talk, I will explain how this picture can be lifted to higher dimensional gauge theories via the correspondence of partition functions on S5, S4xS1, S3 and S2xS1 to correlators in theories whose underlying symmetry is given by a quantum deformation of the Virasoro algebra. In particular, I will discuss how 3-point functions can be derived by the bootstrap approach and used to define this novel class of q-deformed CFTs. I will also discuss some aspects related to integrable structures in these models, such as reflection coefficients, as well as possible generalisation.
Posted by: QMW