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In this letter we establish Yangian symmetry of planar N=4 super-Yang-Mills theory. We prove that the classical equations of motion of the model close onto themselves under the action of Yangian generators. Moreover we propose an off-shell…

High Energy Physics - Theory · Physics 2017-04-13 Niklas Beisert , Aleksander Garus , Matteo Rosso

We present a nested algebraic Bethe ansatz for a one dimensional open spin chain whose boundary quantum spaces are irreducible $\mathfrak{so}_{2n}$- or $\mathfrak{sp}_{2n}$-representations and the monodromy matrix satisfies the defining…

Mathematical Physics · Physics 2019-09-27 Allan Gerrard , Niall MacKay , Vidas Regelskis

We show that the N=2 open string describes a theory of self-dual Yang Mills (SDYM) in (2,2) dimensions. The coupling to the closed sector is described by SDYM in a Kahler background, with the Yang-Mills fields providing a source term to the…

High Energy Physics - Theory · Physics 2010-11-01 Neil Marcus

We investigate the one-loop spectral problem of $\gamma$-twisted, planar $\mathcal{N}$=4 Super Yang-Mills theory in the double-scaling limit of infinite, imaginary twist angle and vanishing Yang-Mills coupling constant. This non-unitary…

High Energy Physics - Theory · Physics 2019-05-01 Asger C. Ipsen , Matthias Staudacher , Leonard Zippelius

We study the quantum Bethe ansatz equations in the O(2n) sigma-model for hysical particles on a circle, with the interaction given by the Zamolodchikovs' S-matrix, in view of its application to quantization of the string on the S^{2n-1} x…

High Energy Physics - Theory · Physics 2008-11-26 Nikolay Gromov , Vladimir Kazakov , Kazuhiro Sakai , Pedro Vieira

In integrable spin chains, the spectral problem can be solved by the method of Bethe ansatz, which transforms the problem of diagonalization of the Hamiltonian into the problem of solving a set of algebraic equations named Bethe equations.…

High Energy Physics - Theory · Physics 2025-08-27 Yi-Jun He , Jue Hou , Yi-Chao Liu , Zi-Xi Tan

We find classical open string solutions in the $AdS_5\times S^5/\Zop_2$ orientifold with angular momenta along the five-sphere. The energy of these solutions has an expansion in integral powers of $\lambda$ with sigma-model corrections…

High Energy Physics - Theory · Physics 2009-11-10 B. Stefanski

Marginal beta deformations of N=4 super-Yang-Mills theory are known to correspond to a certain class of deformations of the S^5 background subspace of type IIB string theory in AdS_5 x S^5. An analogous set of deformations of the AdS_5…

High Energy Physics - Theory · Physics 2008-11-26 Ian Swanson

It has been recently proposed that string theory in the background of a plane wave corresponds to a certain subsector of the N=4 supersymmetric Yang-Mills theory. This correspondence follows as a limit of the AdS/CFT duality. As a…

High Energy Physics - Theory · Physics 2009-11-07 David J. Gross , Andrei Mikhailov , Radu Roiban

We consider limits of $\mathcal{N} = 4$ super-Yang-Mills (SYM) theory that approach BPS bounds. These limits result in non-relativistic theories that describe the effective dynamics near the BPS bounds and upon quantization are known as…

High Energy Physics - Theory · Physics 2022-02-28 Stefano Baiguera , Troels Harmark , Yang Lei

The four dimensional $\mathcal{N}=4$ super-Yang-Mills (SYM) theory exhibits rich dynamics in the presence of codimension-one conformal defects. The new structure constants of the extended operator algebra consist of one-point functions of…

High Energy Physics - Theory · Physics 2020-08-26 Shota Komatsu , Yifan Wang

We describe the magnetic phase of SU(N) $\mathcal{N}=2$ Super Yang-Mills theories in the self-dual Omega background in terms of a new class of multi-cut matrix models. These arise from a non-perturbative completion of topological strings in…

High Energy Physics - Theory · Physics 2017-06-08 Giulio Bonelli , Alba Grassi , Alessandro Tanzini

We construct, in the framework of the N=4 SYM theory, a supermultiplet of twist-two conformal operators and study their renormalization properties. The components of the supermultiplet have the same anomalous dimension and enter as building…

High Energy Physics - Theory · Physics 2009-11-10 A. V. Belitsky , S. E. Derkachov , G. P. Korchemsky , A. N. Manashov

We study integrable open boundary conditions for d(2,1;\alpha)^2 and psu(1,1|2)^2 spin-chains. Magnon excitations of these open spin-chains are mapped to massive excitations of type IIB open superstrings ending on D-branes in the AdS_3 x…

High Energy Physics - Theory · Physics 2015-12-18 Andrea Prinsloo , Vidas Regelskis , Alessandro Torrielli

A detailed study of an $S={1\over2}$ spin ladder model is given. The ladder consists of plaquettes formed by nearest neighbor rungs with all possible SU(2)-invariant interactions. For properly chosen coupling constants, the model is shown…

Condensed Matter · Physics 2009-10-31 S. Albeverio , S. M. Fei , Y. P. Wang

In the presence of D-branes, fermionic N=2 strings in 2+2 dimensions can be coupled to a K"ahler NS-NS two-form B. We present the corresponding action which produces N=2 supersymmetric boundary conditions and discuss the Seiberg-Witten…

High Energy Physics - Theory · Physics 2009-10-31 Olaf Lechtenfeld , Alexander D. Popov , Bernd Spendig

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

In four-dimensional N=4 super Yang-Mills (SYM) the SU(3) sub-sector spanned by purely holomorphic fields is isomorphic to the corresponding mixed one spanned by both holomorphic and antiholomorphic fields. This is no longer the case when…

High Energy Physics - Theory · Physics 2015-05-28 V. Giangreco M. Puletti , T. Mansson

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

N=6 superconformal Chern-Simons theory with gauge group U(M)xU(N)} is dual to N M2-branes and (M-N) fractional M2-branes, equivalently, discrete 3-form holonomy at C4/Zk orbifold singularity. We show that, much like its regular counterpart…

High Energy Physics - Theory · Physics 2011-03-02 Dongsu Bak , Dongmin Gang , Soo-Jong Rey