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In this work, we calculate correlators of long strings on AdS$_3\times$S$^3\times$T$^4$ with pure NS-NS flux. We first construct physical vertex operators that correspond to long strings. Due to the GSO projection, they depend on the parity…

High Energy Physics - Theory · Physics 2025-04-29 Zhe-fei Yu , Cheng Peng

Under certain assumptions we derive a complete semiclassical asymptotics of the spectral function $e_{h,\varepsilon}(x,x,\lambda)$ for a scalar operator \begin{equation*} A_\varepsilon (x,hD)= A^0(hD) + \varepsilon B(x,hD), \end{equation*}…

Spectral Theory · Mathematics 2018-08-07 Victor Ivrii

We compute the {\it exact} equation of state of circular strings in the (2+1) dimensional de Sitter (dS) and anti de Sitter (AdS) spacetimes, and analyze its properties for the different (oscillating, contracting and expanding) strings. The…

High Energy Physics - Theory · Physics 2010-11-01 H. J. de Vega , A. L. Larsen , N. Sanchez

We argue that the conventional method to calculate the OPE coefficients in the strong coupling limit for heavy-heavy-light operators in the N=4 Super-Yang-Mills theory has to be modified by integrating the light vertex operator not only…

High Energy Physics - Theory · Physics 2015-06-19 Zoltan Bajnok , Romuald A. Janik , Andrzej Wereszczynski

A big open problem in $AdS_3 \times S^3 \times T^4$ holographic duality is to compute the CFT data of the dual theory. In this direction recently it was introduced the hexagonalization framework in the $AdS_3$ context. It allows the…

High Energy Physics - Theory · Physics 2022-12-28 Matheus Fabri

We consider worldsheet correlation functions for strings in AdS_5 x S^5 using a light-cone gauge for the worldsheet theory. We compute the saddle-point approximation to three-point functions of BMN vertex operators, all with large charges,…

High Energy Physics - Theory · Physics 2015-05-28 Thomas Klose , Tristan McLoughlin

Efficient and powerful approaches to the computation of correlation functions involving determinant, sub-determinant and permanent operators, as well as traces, have recently been developed in the setting of ${\cal N}=4$ super Yang-Mills…

High Energy Physics - Theory · Physics 2019-10-30 Gaoli Chen , Robert de Mello Koch , Minkyoo Kim , Hendrik J. R. Van Zyl

We study three point functions of half BPS operators in $\mathcal{N}=4$ super Yang-Mills theory focusing on correltors of two of the operators with dimension of order $\Delta\sim N^2$ and a light single trace operator. These describe vacuum…

High Energy Physics - Theory · Physics 2023-05-12 Adolfo Holguin

We analyze cubic spin 3 interaction in AdS space using the higher spin extension of string-theoretic sigma-model constructed in our previous work, which low energy limit is described by AdS vacuum. We find that, in the leading order of the…

High Energy Physics - Theory · Physics 2015-06-05 Dimitri Polyakov

We show that for a class of model Hamiltonians for which certain trial quantum Hall wavefunctions are exact ground states, there is a single spectral density function which controls all two-point correlation functions of density, current…

Strongly Correlated Electrons · Physics 2014-12-12 Dung Xuan Nguyen , Dam Thanh Son , Chaolun Wu

We review certain results for amplitudes of spectral flowed operators in string theory on AdS_3. We present the modified Knizhnik-Zamolodchikov and null vector equations to be satisfied by correlators including w=1 operators. We then…

High Energy Physics - Theory · Physics 2008-12-18 Pablo Minces

A semiclassical string description is given for correlators of Wilson loops with local operators in N=4 SYM theory in the regime when operators carry parametrically large R-charge. The OPE coefficients of the circular Wilson loop in chiral…

High Energy Physics - Theory · Physics 2009-11-07 K. Zarembo

We construct a Goulian-Li-type continuation in the number of insertions of the cosmological constant operator which is no longer restricted to one dimensional target space. The method is applied to the calculation of the three-point and a…

High Energy Physics - Theory · Physics 2008-11-26 H. Dorn , H. -J. Otto

A world-sheet sigma model approach is applied to string theories dual to four-dimensional gauge theories, and semi-classical soliton solutions representing highly excited string states are identified which correspond to gauge theory…

High Energy Physics - Theory · Physics 2015-06-26 S. S. Gubser , I. R. Klebanov , A. M. Polyakov

The AdS_3 x S^3 string dynamics is described in a conformal gauge using the SL(2,R) and SU(2) group variables as the target space coordinates. A subclass of string surfaces with constant induced metric tensor on both AdS_3 and S^3…

Mathematical Physics · Physics 2012-09-19 George Jorjadze , Zurab Kepuladze , Luka Megrelidze

In this paper we make the connection between semi-classical string quantization and exact conformal field theory quantization of strings in 2+1 Anti de Sitter spacetime. More precisely, considering the WZWN model corresponding to SL(2,R)…

High Energy Physics - Theory · Physics 2009-10-31 A. L. Larsen , N. Sánchez

We revisit the calculation of holographic correlators for eleven-dimensional supergravity on $AdS_7\times S^4$. Our methods rely entirely on symmetry and eschew detailed knowledge of the supergravity effective action. By an extension of the…

High Energy Physics - Theory · Physics 2018-08-01 Leonardo Rastelli , Xinan Zhou

We compute 4-point correlators in $\mathcal{N} = 4$ $SU(N)$ Super-Yang-Mills with both single and double-particle $1/2$-BPS operators in the regime of large 't Hooft coupling and large $N$. In particular we give explicit expressions up to…

High Energy Physics - Theory · Physics 2025-07-18 Francesco Aprile , Stefano Giusto , Rodolfo Russo

We consider R and NS spectral flow sectors of type IIB superstring theory on AdS(3)xS(3)xT(4) in the context of the AdS(3)/CFT(2) correspondence. We present a derivation of the vertex operators creating spectral flow images of chiral…

High Energy Physics - Theory · Physics 2015-05-13 Carlos A. Cardona , Carmen A. Núñez

By applying the conformal SO(2,4) transformations to the folded rotating string configuration with two spins given by a certain limit from the helical string solution in AdS_3 x S^1, we construct new string solutions whose energy-spin…

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