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{}~~~We show that the recently constructed $~N=4$~ supersymmetric self-dual Yang-Mills theory as the consistent background of \hbox{$~N=2$} open superstring will generate Witten's topological field theory in two-dimensions as a descendant…

High Energy Physics - Theory · Physics 2009-10-22 H. Nishino

Conformal field theory (CFT) plays a key role in modern theoretical physics. Through CFT we describe real physical systems at criticality and fixed points of the renormalization group flow. It is also central in the study of quantum…

High Energy Physics - Theory · Physics 2024-04-19 Giulia Peveri

Recently, topological interfaces between three-dimensional abelian Chern-Simons theories were constructed. In this note we investigate such topological interfaces in the context of the $AdS_3/CFT_2$ correspondence. We show that it is…

High Energy Physics - Theory · Physics 2019-02-06 Michael Gutperle , John D. Miller

We study the relation between 5D super Yang-Mills theory and the holographic description of 6D (2,0) superconformal theory. We start by clarifying some issues related to the localization of N=1 SYM with matter on $S^5$. We concentrate on…

High Energy Physics - Theory · Physics 2013-08-19 Joseph A. Minahan , Anton Nedelin , Maxim Zabzine

The use of gauged ${\cal N} = 8$ supergravity as a tool in studying the AdS/CFT correspondence for ${\cal N} = 4$ Yang-Mills theory is reviewed. The supergravity potential implies a non-trivial, supersymmetric IR fixed point, and the flow…

High Energy Physics - Theory · Physics 2011-04-15 N. P. Warner

A quantum field theory on Anti-de-Sitter space can be constructed from a conformal field theory on its boundary Minkowski space by an inversion of the holographic mapping. To do this the conformal field theory must satisfy certain…

High Energy Physics - Theory · Physics 2009-11-10 W. Ruehl

The AdS/CFT correspondence provides a rich testing ground for many important topics in theoretical physics. The earliest and most striking example of the correspondence is the conjectured duality between the energy spectrum of type IIB…

High Energy Physics - Theory · Physics 2007-05-23 Ian Swanson

This paper gives a construction, using heat kernels, of differential forms on the moduli space of metrised ribbon graphs, or equivalently on the moduli space of Riemann surfaces with boundary. The construction depends on a manifold with a…

Quantum Algebra · Mathematics 2014-11-11 Kevin J. Costello

Consequences of a strong version of the AdS/CFT correspondence for extremely stringy physics are examined. In particular, properties of N = 4 supersymmetric Yang-Mills theory are used to extract results about interacting tensionless strings…

High Energy Physics - Theory · Physics 2009-11-07 Bo Sundborg

We test the AdS/CFT correspondence by calculating Wilson loops in N = 4 super Yang-Mills theory on R*S^3 in the planar limit. Our method is based on a novel large-N reduction, which reduces the problem to Monte Carlo calculations in the…

High Energy Physics - Lattice · Physics 2011-12-20 Masazumi Honda , Goro Ishiki , Jun Nishimura , Asato Tsuchiya

We study the charge response of conformal field theories (CFTs) at non-zero temperature in 2+1 dimensions using the AdS/CFT correspondence. A central role is played by the quasinormal modes (QNMs), specifically, the poles and zeros of the…

Strongly Correlated Electrons · Physics 2013-05-01 William Witczak-Krempa , Subir Sachdev

In the space of couplings of the 4D N=1 gauge theory associated to D3 branes probing Calabi-Yau singularities, there is a manifold over which superconformal invariance is preserved. The AdS/CFT correspondence is valid precisely for this…

High Energy Physics - Theory · Physics 2009-11-11 Sergio Benvenuti , Amihay Hanany

We discuss theories containing higher-order forms in various dimensions. We explain how Chern--Simons-type theories of forms can be defined from TQFTs in one less dimension. We also exhibit new TQFTs with interacting Yang--Mills fields and…

High Energy Physics - Theory · Physics 2014-11-18 Laurent Baulieu , Eliezer Rabinovici

We build nearly topological quantum field theories in various dimensions. We give special attention to the case of 8 dimensions for which we first consider theories depending only on Yang-Mills fields. Two classes of gauge functions exist…

High Energy Physics - Theory · Physics 2009-10-30 L. Baulieu , H. Kanno , I. M. Singer

We review a formalism of superstring quantization with manifest six-dimensional spacetime supersymmetry, and apply it to AdS_3 x S^3 backgrounds with Ramond-Ramond flux. The resulting description is a conformal field theory based on a sigma…

High Energy Physics - Theory · Physics 2010-04-07 N. Berkovits , C. Vafa , E. Witten

The $N=4$ supersymmetric self-dual Yang-Mills theory in a four- dimensional space with signature $(2,2)$ is formulated in harmonic superspace. The on-shell constraints of the theory are reformulated in the equivalent form of vanishing…

High Energy Physics - Theory · Physics 2009-10-28 E. Sokatchev

A topological sigma model based on the pure spinor formalism was recently proposed for the small radius limit of the AdS_5xS^5 superstring. Physical states in this model can be constructed by connecting holes on the worldsheet with Wilson…

High Energy Physics - Theory · Physics 2009-11-19 Nathan Berkovits

We observe that the string field theory actions for the topological sigma models describe higher or categorified Chern-Simons theories. These theories yield dynamical equations for connective structures on higher principal bundles. As a…

High Energy Physics - Theory · Physics 2017-07-27 Christian Saemann , Martin Wolf

Anomalies of N = (4,4) superconformal field theories coupled to a conformal supergravity background in two dimensions are computed by using the AdS/CFT correspondence. We find that Weyl, axial gauge and super Weyl transformations are…

High Energy Physics - Theory · Physics 2009-10-31 M. Nishimura , Y. Tanii

By use of the AdS/CFT correspondence on orbifolds, models are derived which can contain the standard model of particle phenomenology. It will be assumed that the theory becomes conformally invariant at a renormalization-group fixed-point in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul H. Frampton