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Related papers: Spiky strings in the SL(2) Bethe Ansatz

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We study the spectrum of anomalous dimensions of short operators in planar ABJM theory at two loops. Specifically we develop a method for solving the OSp(6|4) Bethe ansatz equations for a certain class of unpaired length-4 states with…

High Energy Physics - Theory · Physics 2010-03-02 Georgios Papathanasiou , Marcus Spradlin

We initiate the computation of the 2-loop quantum AdS_5 x S^5 string corrections on the example of a certain string configuration in S^5 related by an analytic continuation to a folded rotating string in AdS_5 in the ``long string'' limit.…

High Energy Physics - Theory · Physics 2009-09-17 R. Roiban , A. Tirziu , A. A. Tseytlin

We revisit the computation of the 2-loop correction to the energy of a folded spinning string in AdS_5 with an angular momentum J in S^5 in the scaling limit log S, J >>1 with J / log S fixed. This correction gives the third term in the…

High Energy Physics - Theory · Physics 2014-11-20 S. Giombi , R. Ricci , R. Roiban , A. A. Tseytlin , C. Vergu

By considering AdS_5 x S^5 string states with large angular momenta in S^5 one is able to provide non-trivial quantitative checks of the AdS/CFT duality. A string rotating in S^5 with two angular momenta J_1,J_2 is dual to an operator in…

High Energy Physics - Theory · Physics 2009-09-17 M. Kruczenski , A. V. Ryzhov , A. A. Tseytlin

We consider the 1-loop correction to the energy of folded spinning string solution in the AdS_3 part of AdS_5 x S^5. The classical string solution is expressed in terms of elliptic functions so an explicit computation of the corresponding…

High Energy Physics - Theory · Physics 2015-03-13 M. Beccaria , G. V. Dunne , V. Forini , M. Pawellek , A. A. Tseytlin

We study the leading quantum string correction to the dressing phase in the asymptotic Bethe Ansatz system for superstring in AdS_3 x S^3 x T^4 supported by RR flux. We find that the phase should be different from the BES phase appearing in…

High Energy Physics - Theory · Physics 2013-04-24 M. Beccaria , F. Levkovich-Maslyuk , G. Macorini , A. A. Tseytlin

We study general rotating string solution in the AdS(4) X CP**3 background with a B_NS holonomy turned on over ${\bf CP}^1$ $\subset $ $ {\bf CP}^3$. We find the giant magnon and single spike solutions for the string moving in this…

High Energy Physics - Theory · Physics 2009-02-05 Sachin Jain , Kamal L. Panigrahi

We investigate the completeness of the solutions of the Bethe equations for the integrable spin-s isotropic (XXX) spin chain with periodic boundary conditions. Solutions containing the exact string i s, i (s-1), ..., -i(s-1), -is are…

Mathematical Physics · Physics 2015-06-18 Wenrui Hao , Rafael I. Nepomechie , Andrew J. Sommese

We consider the sl(2)_q-invariant open spin-1/2 XXZ quantum spin chain of finite length N. For the case that q is a root of unity, we propose a formula for the number of admissible solutions of the Bethe ansatz equations in terms of…

Mathematical Physics · Physics 2017-05-24 Azat M. Gainutdinov , Wenrui Hao , Rafael I. Nepomechie , Andrew J. Sommese

We compute the finite size spectrum for the spin 1/2 XXZ chain with twisted boundary conditions, for anisotropy in the regime $0< \gamma <\pi/2$, and arbitrary twist $\theta$. The string hypothesis is employed for treating complex…

High Energy Physics - Theory · Physics 2008-11-26 T. Nassar , O. Tirkkonen

We consider the scalar operators corresponding to semiclassical string states in AdS_5xS^5 with the three angular momenta in S^5 non-trivial. The string states recieve quantum corrections and we study the corresponding process on the gauge…

High Energy Physics - Theory · Physics 2009-11-10 Lisa Freyhult

As was recently found in hep-th/0304255, there exists a simple non-supersymmetric classical solution describing a closed string rotating in S^5 and located at the center of AdS_5. It is parametrized by the angular momentum J of the center…

High Energy Physics - Theory · Physics 2009-11-10 S. Frolov , A. A. Tseytlin

We study rigidly rotating strings in the background of AdS3 x S3 with Neveu-Schwarz (NS) fluxes. We find two interesting limiting cases corresponding to the known giant magnon and the new single spike solution of strings in the above…

High Energy Physics - Theory · Physics 2015-08-27 Aritra Banerjee , Kamal L. Panigrahi , Pabitra M. Pradhan

Recently there has been a renewed interest in the spectra and role in dynamical properties of excited states of the spin-1/2 Heisenberg antiferromagnetic chain in longitudinal magnetic fields associated with Bethe strings. The latter are…

Other Condensed Matter · Physics 2020-09-23 J. M. P. Carmelo , T. Cadez , P. D. Sacramento

We use Dirac-Born-Infeld action to study the spinning D-string in $AdS_3 $ background in the presence of both NS-NS and RR fluxes. We compute the scaling relation between the energy (E) and spin (S) in the `long string limit'. The energy of…

High Energy Physics - Theory · Physics 2020-08-26 Sagar Biswas , Priyadarshini Pandit , Kamal L. Panigrahi

Motivated by the recent proposal for the S-matrix in $AdS_3\times S^3$ with mixed three form fluxes, we study classical folded string spinning in $AdS_3$ with both Ramond and Neveu-Schwarz three form fluxes. We solve the equations of motion…

High Energy Physics - Theory · Physics 2015-06-19 Justin R. David , Abhishake Sadhukhan

We systematically construct a semiclassical expansion for the eigenvalues of the 2nd order quantum fluctuations of the folded spinning superstring rotating in the AdS_3 part of AdS_5 x S^5 with two alternative methods; by using the exact…

High Energy Physics - Theory · Physics 2010-06-29 Gokce Basar

We compute 1-loop correction E_1 to the energy of folded string in AdS_5 x S^5 (carrying spin S in AdS_5 and momentum J in S^5) using ``long string'' approximation in which S >> J >> 1. According to AdS/CFT E_1 should represent the first…

High Energy Physics - Theory · Physics 2008-11-26 S. Frolov , A. Tirziu , A. A. Tseytlin

Recently, Freyhult, Rej and Staudacher (FRS) proposed an integral equation determining the leading logarithmic term of the anomalous dimension of sl(2) twist-operators in N=4 SYM for large Lorentz spin M and twist L at fixed j = L/log(M).…

High Energy Physics - Theory · Physics 2011-06-02 Matteo Beccaria

We study anomalous dimensions of (super)conformal Wilson operators at weak and strong coupling making use of the integrability symmetry on both sides of the gauge/string correspondence and elucidate the origin of their single-logarithmic…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Belitsky , A. S. Gorsky , G. P. Korchemsky
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