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This review covers a number of applications of conformal field theory methods for perturbative calculations in N=4 Super Yang-Mills and ABJM theory. After motivating the role of superconformal symmetry for elementary particle physics…

High Energy Physics - Theory · Physics 2012-12-21 Konstantin Wiegandt

We construct a new class of exact and stable superstring solutions based on $N=4$ superconformal world-sheet symmetry. In a subclass of these, the full spectrum of string excitations is derived in a modular-invariant way. In the weak…

High Energy Physics - Theory · Physics 2009-10-28 I. Antoniadis , S. Ferrara , C. Kounnas

We study a discretization of ${\cal N}=2$ super Yang-Mills theory which possesses a single exact supersymmetry at non-zero lattice spacing. This supersymmetry arises after a reformulation of the theory in terms of {\it twisted} fields. In…

High Energy Physics - Lattice · Physics 2010-10-27 Simon Catterall

We investigate dynamics of the homogeneous time-dependent SU(2) Yang-Mills fields governed by the non-Abelian Born-Infeld lagrangian which arises in superstring theory as a result of summation of all orders in the string slope parameter…

High Energy Physics - Theory · Physics 2009-11-10 D. V. Gal'tsov , V. V. Dyadichev

We study string quantum corrections to the ratio of latitude and circular Wilson loops in N=4 super-Yang-Mills theory at strong coupling. Conformal gauge for the corresponding minimal surface in AdS(5)xS(5) is singular and we show that an…

High Energy Physics - Theory · Physics 2018-04-04 Alessandra Cagnazzo , Daniel Medina-Rincon , Konstantin Zarembo

The finiteness properties of the N=4 supersymmetric Yang-Mills theory are reanalyzed both in the component formulation and using N=1 superfields, in order to discuss some subtleties that emerge in the computation of gauge dependent…

High Energy Physics - Theory · Physics 2009-10-31 Stefano Kovacs

We study the Renormalization Group (RG) flow of critical bosonic background fields in the framework of the RG approach to string theory. In this approach quantum field theory beta-functions are the extra inputs in solving the string theory…

High Energy Physics - Theory · Physics 2009-10-31 Ian I. Kogan , Martin Schvellinger , Bayram Tekin

We derive the usual first-order form of the Yang-Mills action in arbitrary dimensions by dimensional reduction from a Chern-Simons-like action. The antisymmetric tensor auxiliary field of the first-order action appears as a gauge field for…

High Energy Physics - Theory · Physics 2011-06-28 Warren Siegel

We consider duality transformations in N=2, d=4 Yang--Mills theory coupled to N=2 supergravity. A symplectic and coordinate covariant framework is established, which allows one to discuss stringy `classical and quantum duality symmetries'…

High Energy Physics - Theory · Physics 2016-09-06 A. Ceresole , R. D'Auria , S. Ferrara , A. Van Proeyen

We review some recent results on the calculation of renormalization constants in Yang-Mills theory using open bosonic strings. The technology of string amplitudes, supplemented with an appropriate continuation off the mass shell, can be…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Di Vecchia , Alberto Lerda , Lorenzo Magnea , Raffaele Marotta , Rodolfo Russo

A long-standing conjecture on the structure of renormalized, gauge invariant, integrated operators of arbitrary dimension in Yang-Mills theory is established. The general solution of the consistency condition for anomalies with sources…

High Energy Physics - Theory · Physics 2009-10-22 G. Barnich , M. Henneaux

We show that twisted reduced models can be interpreted as noncommutative Yang-Mills theory. Based upon this correspondence, we obtain noncommutative Yang-Mills theory with D-brane backgrounds in IIB matrix model. We propose that IIB matrix…

High Energy Physics - Theory · Physics 2009-10-31 H. Aoki , N. Ishibashi , S. Iso , H. Kawai , Y. Kitazawa , T. Tada

We consider the 1+1 dimensional supersymmetric matrix field theory obtained from a dimensional reduction of ten dimensional ${\cal N} = 1$ super Yang-Mills, which is a matrix model candidate for non-perturbative Type IIA string theory. The…

High Energy Physics - Theory · Physics 2007-05-23 F. Antonuccio , H. C. Pauli , S. Tsujimaru

Matrix string theory (or more generally U-Duality) requires Super Yang-Mills theory to reflect a stringy degeneracy of BPS short multiplets. These are found as supersymmetric states in the Yang-Mills carrying (fractionated) momentum, or in…

High Energy Physics - Theory · Physics 2009-10-30 Rajesh Gopakumar

We study decoupling limits and S-dualities for noncommutative open string/ Yang-Mills theory in a gravity setup by considering an $SL(2,Z)$ invariant supergravity solution of the form ((F, D1), D3) bound state of type IIB string theory.…

High Energy Physics - Theory · Physics 2009-10-31 J. X. Lu , S. Roy , H. Singh

We compute L\"uscher corrections to the effective string tension in the Pilch-Warner background, holographically dual to $\mathcal{N}=2^*$ supersymmetric Yang-Mills theory. The same quantity can be calculated directly from field theory by…

High Energy Physics - Theory · Physics 2017-05-24 Xinyi Chen-Lin , Daniel Medina-Rincon , Konstantin Zarembo

We construct the supersymmetric completion of quartic $R+R^4$-actions in the ten-dimensional effective action of the heterotic string. Two invariants, of which the bosonic parts are known from one-loop string amplitude calculations, are…

High Energy Physics - Theory · Physics 2009-10-22 M. de Roo , H. Suelmann , A. Wiedemann

We show that the BMN operators in D=4 N=4 super Yang Mills theory proposed as duals of stringy oscillators in a plane wave background have a natural quantum group construction in terms of the quantum deformation of the SO(6) $R$ symmetry.…

High Energy Physics - Theory · Physics 2015-06-26 Steve Corley , Sanjaye Ramgoolam

We study a class of near-BPS operators for a complex 2-parameter family of N=1 superconformal Yang-Mills theories that can be obtained by a Leigh-Strassler deformation of N=4 SYM theory. We identify these operators in the large N and large…

High Energy Physics - Theory · Physics 2009-11-07 Vasilis Niarchos , Nikolaos Prezas

When eight-dimensional instantons, satisfying F \wedge F = \pm \star_8 (F\wedge F), shrink to zero size, we find stringy objects in higher order ten-dimensional Yang-Mills (viewed as a low-energy limit of open string theory). The associated…

High Energy Physics - Theory · Physics 2014-11-18 Ruben Minasian , Samson L. Shatashvili , Pierre Vanhove