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At small AdS radius, the superstring on $AdS_5\times S^5$ was conjectured by Maldacena to be equivalent to ${\cal N}=4$ super-Yang-Mills at small `t Hooft coupling where thickened Feynman diagrams can be used to compute scattering…

High Energy Physics - Theory · Physics 2019-04-30 Nathan Berkovits

The double-spinor formalism, proposed by Aisaka and Kazama, provides a basis for the pure-spinor formalism, which allows manifestly super-Poincare covariant quantization of superstrings. We extend it to the case of backgrounds realized by…

High Energy Physics - Theory · Physics 2008-12-25 Hiroshi Kunitomo

We derive the coherent state representation of the integrable spin chain Hamiltonian with symmetry group SL(2,R). By passing to the continuum limit, we find a spin chain sigma model describing a string moving on the hyperboloid…

High Energy Physics - Theory · Physics 2010-04-05 S. Bellucci , P. -Y. Casteill , J. F. Morales , C. Sochichiu

We obtain the solutions and explicitly calculate the energy for a class of two-spin semiclassical string states in the Lunin-Maldacena background. These configurations are \beta-deformed versions of the folded string solutions in…

High Energy Physics - Theory · Physics 2011-04-15 Heng-Yu Chen , S. Prem Kumar

We construct nonrelativistic spinning string solutions corresponding to $ SU(1,2|3) $ Spin-Matrix theory (SMT) limit of strings in $ AdS_5 \times S^5 $. Considering various nonrelativistic spinning string configurations both in $ AdS_5 $ as…

High Energy Physics - Theory · Physics 2020-11-11 Dibakar Roychowdhury

The sigma model describing the dynamics of the superstring in the $AdS_5 \times S^5$ background can be constructed using the coset $PSU(2,2|4)/SO(4,1)\times SO(5)$. A basic set of operators in this two dimensional conformal field theory is…

High Energy Physics - Theory · Physics 2014-11-20 Oscar A. Bedoya , Dafni Z. Marchioro , Daniel L. Nedel , Brenno Carlini Vallilo

As a step toward deeper understanding of the AdS/CFT correspondence, exact quantization of a Brink-Schwarz superparticle in the AdS_5 x S^5 background with Ramond-Ramond (RR) flux is performed from the first principle in the phase space…

High Energy Physics - Theory · Physics 2010-04-23 Tetsuo Horigane , Yoichi Kazama

In this paper, we consider two almost opposite sectors of actual string configuration ans\"atze in $AdS_5\times S^5$, which anyway have almost the same features: The two spin solution, which has constant angles in $S^5$ and the two angular…

High Energy Physics - Theory · Physics 2022-04-27 Arne Lykke Larsen

Semiclassical spinning string states in AdS_5 are, in general, characterised by the three SO(2,4) conserved charges: the energy E and the two spins S_1 and S_2. We discuss several examples of explicit classical solutions for rigid closed…

High Energy Physics - Theory · Physics 2013-05-29 A. Tirziu , A. A. Tseytlin

In this letter, the exact accelerating string solution of a heavy quark-antiquark pair is found in $AdS_5$ space. On the accelerating string, there is a particular scale which separates the radiation and the heavy quark. This scale is…

High Energy Physics - Theory · Physics 2008-11-26 Bo-Wen Xiao

The character of holomorphic functions on the space of pure spinors in ten, eleven and twelve dimensions is calculated. From this character formula, we derive in a manifestly covariant way various central charges which appear in the pure…

High Energy Physics - Theory · Physics 2009-11-11 Nathan Berkovits , Nikita Nekrasov

We derive simple general expressions for the explicit Killing spinors on the n-sphere, for arbitrary n. Using these results we also construct the Killing spinors on various AdS x Sphere supergravity backgrounds, including AdS_5 x S^5$,…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , J. Rahmfeld

In the Type II superstring the 4-point function for massless NS-NS bosons at one-loop is well known [1][14]. The overall constant factor in this amplitude is very important because it needs to satisfy the unitarity and S-duality conditions…

High Energy Physics - Theory · Physics 2010-02-04 Humberto Gomez

We study semiclassical strings in the near horizon geometry of certain curved branes. We investigate the rigidly rotating strings in the near horizon geometry of NS5-branes wrapped on AdS3 x S3 and in the presence of background NS-NS flux.…

High Energy Physics - Theory · Physics 2015-06-16 Sagar Biswas , Kamal L Panigrahi

The pure spinor formulation of superstring theory includes an interacting sector of central charge $c_{\lambda}=22$, which can be realized as a curved $\beta\gamma$ system on the cone over the orthogonal Grassmannian $\text{OG}^{+}(5,10)$.…

High Energy Physics - Theory · Physics 2020-01-15 Richard Eager , Guglielmo Lockhart , Eric Sharpe

We study the relation between vertex operators in AdS_5 x S^5 and classical spinning string solutions. In the limit of large quantum numbers the treatment of vertex operators becomes semiclassical. In this regime, a given vertex operator…

High Energy Physics - Theory · Physics 2014-11-20 Evgeny I. Buchbinder

From the SU(2) spin chain sigma model at the one-loop and two-loop orders we recover the classical circular string solution with two S^5 spins (J_1, J_2) in the AdS_5 x S^5 string theory. In the SL(2) sector of the one-loop spin chain sigma…

High Energy Physics - Theory · Physics 2008-11-26 Shijong Ryang

In this thesis we investigate quantum aspects of the Green-Schwarz superstring in various AdS backgrounds relevant for the AdS/CFT correspondence, providing several examples of perturbative computations in the corresponding integrable…

High Energy Physics - Theory · Physics 2017-02-15 Lorenzo Bianchi

A systematic approach to the study of semiclassical fluctuations of strings in AdS_5 x S^5 based on the Green-Schwarz formalism is developed. We show that the string partition function is well defined and finite. Issues related to different…

High Energy Physics - Theory · Physics 2009-10-31 Nadav Drukker , David J. Gross , Arkady Tseytlin

Using the pure spinor formalism, a quantizable sigma model has been constructed for the superstring in an AdS_5 x S^5 background with manifest PSU(2,2|4) invariance. The PSU(2,2|4) metric g_{AB} has both vector components g_{ab} and spinor…

High Energy Physics - Theory · Physics 2008-11-26 Nathan Berkovits