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Magnon interactions give important contributions to the wrapping interactions of the N=4 spin-chain. Similar effects are expected for the finite size corrections to the giant magnon energy in AdS_5 x S^5. In this paper I review the finite…

High Energy Physics - Theory · Physics 2009-01-23 Olof Ohlsson Sax

We compute both classical and quantum finite-size corrections at leading order in the strong coupling limit for the (dyonic) giant magnon in the Lunin-Maldacena background. Based on the exact S-martix conjectured for the deformed theory, we…

High Energy Physics - Theory · Physics 2015-06-03 Changrim Ahn , Diego Bombardelli , Minkyoo Kim

Understanding finite-size effects is one of the key open questions in solving planar AdS/CFT. In this paper we discuss these effects in the AdS_5xS^5 string theory at one-loop in the world-sheet coupling. First we provide a very general,…

High Energy Physics - Theory · Physics 2011-03-02 Nikolay Gromov , Sakura Schafer-Nameki , Pedro Vieira

We use the algebraic curve and Luscher's mu-term to calculate the leading order finite size corrections to the dispersion relation of giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3. We consider a single magnon as well as one…

High Energy Physics - Theory · Physics 2008-12-25 Tomasz Lukowski , Olof Ohlsson Sax

We perform a first-principles semi-classical computation of the one-loop corrections to the dispersion relation and S-matrix of Giant Magnons in AdS_5 x S^5 string theory. The results agree exactly with expectations based on the strong…

High Energy Physics - Theory · Physics 2009-04-30 Heng-Yu Chen , Nick Dorey , Rui F. Lima Matos

Understanding the finite-size corrections to the fundamental excitations of a theory is the first step towards completely solving for the spectrum in finite volume. We compute the leading exponential correction to the quantum energy of the…

High Energy Physics - Theory · Physics 2008-11-26 Nikolay Gromov , Sakura Schafer-Nameki , Pedro Vieira

We compute Luscher corrections for a giant magnon in the \eta-deformed (AdS_5\times S^5)_{\eta} using the su(2|2)_q-invariant S-matrix at strong coupling and compare with the finite-size effect of the corresponding string state, derived…

High Energy Physics - Theory · Physics 2017-02-01 Changrim Ahn

We derive a formula for the large N behaviour of the expectation values of an arbitrary product of Wilson loops in the adjoint representation. We show the consequences of our formula for the study of the large N strong coupling behaviour of…

High Energy Physics - Theory · Physics 2009-10-31 A. Gonzalez-Arroyo , C. Pena

We study the finite size effect of rigidly rotating strings and closed folded strings in $AdS_3\times S^3$ geometry with NS-NS B-field. We calculate the classical exponential corrections to the dispersion relation of infinite size giant…

High Energy Physics - Theory · Physics 2019-02-13 Sorna Prava Barik , Kamal L. Panigrahi

We study finite-size corrections to the magnon dispersion relation in three models which differ from string theory on AdS5 x S5 in their boundary conditions. Asymptotically, this is accomplished by twisting the transfer matrix in a way…

High Energy Physics - Theory · Physics 2011-03-23 Gleb Arutyunov , Marius de Leeuw , Stijn J. van Tongeren

We study giant magnon solutions in AdS4 \times CP3. We compute quantum corrections to their dispersion relation. We find out that the one--loop correction vanishes in infinite volume. This implies that the interpolating function h(\lambda)…

High Energy Physics - Theory · Physics 2008-09-17 Igor Shenderovich

We use S-duality and planarity to propose an argument for the non-renormalization of the dispersion relation of giant magnon solutions in type IIB string theory on AdS_5 x S^5. We compute the spectrum of giant magnons for (p,q)-strings from…

High Energy Physics - Theory · Physics 2014-06-16 David Berenstein , Diego Trancanelli

Studies of ${\cal N}=4$ super Yang Mills operators with large R-charge have shown that, in the planar limit, the problem of computing their dimensions can be viewed as a certain spin chain. These spin chains have fundamental ``magnon''…

High Energy Physics - Theory · Physics 2009-11-11 Diego M. Hofman , Juan Maldacena

In this paper we give a new derivation of the generalized Luscher F-term formula from a summation over quadratic fluctuations around a given soliton. The result is very general providing that S-matrix is diagonal and is valid for arbitrary…

High Energy Physics - Theory · Physics 2014-11-18 Michal P. Heller , Romuald A. Janik , Tomasz Lukowski

We consider the most general string configurations on the R_t x S^3 subspace of AdS_5 xS^5, described by the Neumann-Rosochatius integrable system. Under some restrictions on the parameters of the solution and in an appropriate limit, they…

High Energy Physics - Theory · Physics 2010-10-27 Plamen Bozhilov

We study the finite size effect of rigidly rotating and spinning folded strings in $(AdS_3\times S^3)_{\varkappa}$ background. We calculate the leading order exponential corrections to the infinite size dispersion relation of the giant…

High Energy Physics - Theory · Physics 2018-10-17 Kamal L. Panigrahi , Manoranjan Samal

We study finite size corrections to the semiclassical string solutions of the Schrodinger spacetime. We compute the leading order exponential corrections to the infinite size dispersion relation of the single spin giant magnon and of the…

High Energy Physics - Theory · Physics 2020-06-04 Dimitrios Zoakos

We propose the generalized Luscher formula for multi-magnon states by which one can compute the finite-size correction to the energy of multi giant magnons at classical and one-loop levels. It is shown that the F-term of our formula is…

High Energy Physics - Theory · Physics 2009-02-09 Yasuyuki Hatsuda , Ryo Suzuki

We address the question about the exact form of the dispersion relation for light-cone string excitations in string theory in AdS3 x S3 x T4 with mixed R-R and NS-NS 3-form fluxes. The analogy with string theory in AdS5 x S5 suggests that…

High Energy Physics - Theory · Physics 2015-06-17 B. Hoare , A. Stepanchuk , A. A. Tseytlin

We calculate the finite size correction on the three-point correlation function between two giant magnons and one marginal operator. We also check that the structure constant in the string set-up is exactly the same as one of the RG…

High Energy Physics - Theory · Physics 2013-05-29 Bum-Hoon Lee , Chanyong Park
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