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We introduce a nonperturbative approach to correlation functions of two determinant operators and one non-protected single-trace operator in planar N=4 supersymmetric Yang-Mills theory. Based on the gauge/string duality, we propose that…

High Energy Physics - Theory · Physics 2019-11-13 Yunfeng Jiang , Shota Komatsu , Edoardo Vescovi

Recently exact agreement has been found between three-point correlators of chiral operators computed in string theory on AdS_3 x S^3 x T^4 with NS-NS flux and those computed in the symmetric orbifold CFT. However, it has also been shown…

High Energy Physics - Theory · Physics 2009-06-11 Marika Taylor

We consider bosonic string theory on $\text{AdS}_3$ supported by Kalb-Ramond flux. It is well known that the $\alpha'$ exact worldsheet theory is described by the $\text{SL(2,R)}$ WZW model. In this note we perform checks of an $\alpha'$…

High Energy Physics - Theory · Physics 2023-12-12 Indranil Halder , Daniel Louis Jafferis , David Kolchmeyer

We study various spectral theoretic aspects of non-self-adjoint operators. Specifically, we consider a class of factorable non-self-adjoint perturbations of a given unperturbed non-self-adjoint operator and provide an in-depth study of a…

Spectral Theory · Mathematics 2020-05-06 Fritz Gesztesy , Yuri Latushkin , Marius Mitrea , Maxim Zinchenko

We introduce the analytic superspace formalism for six-dimensional $(N,0)$ superconformal field theories. Concentrating on the $(2,0)$ theory we write down the Ward identities for correlation functions in the theory and show how to solve…

High Energy Physics - Theory · Physics 2010-02-03 P. J. Heslop

We compute all worldsheet three-point functions involving spectrally-flowed operators in chiral multiplets of the space-time theory for strings in AdS$_3\times$S$^3\times$T$^4$, thus completing the analysis of the full AdS$_3$/CFT$_2$…

High Energy Physics - Theory · Physics 2023-04-18 Sergio Iguri , Nicolas Kovensky , Julian H. Toro

The string theory in the Penrose limit of AdS_2 x S^2 is investigated. The specific Penrose limit is the background known as the Nappi-Witten spacetime, which is a plane-wave background with an axion field. The string theory on it is given…

High Energy Physics - Theory · Physics 2009-11-10 Cemsinan Deliduman , Burak T. Kaynak

This paper has two parts. We first compute the leading contribution to the strong-coupling mixing between the Konishi operator and a double-trace operator composed of chiral primaries by using flat-space vertex operators for the…

High Energy Physics - Theory · Physics 2016-01-21 Joseph A. Minahan , Raul Pereira

We consider four-point functions of protected, double- and single-trace operators in the large central charge limit. We use superconformal symmetry to disentangle the contribution of protected operators in the partial wave decomposition.…

High Energy Physics - Theory · Physics 2024-12-30 Agnese Bissi , Giulia Fardelli , Andrea Manenti

We study the renormalization group flow equations for correlation functions of weakly coupled quantum field theories in AdS. Taking the limit where the external points approach the conformal boundary, we obtain a flow of conformally…

High Energy Physics - Theory · Physics 2022-09-27 Markus B. Fröb

The $AdS_3\times S^3$ string sigma model supported both by NS-NS and R-R fluxes has become a well known integrable model, however a putative dual field theory description remains incomplete. We study the anomalous dimensions of twist…

High Energy Physics - Theory · Physics 2019-10-02 Aritra Banerjee , Sagar Biswas , Priyadarshini Pandit , Kamal L. Panigrahi

Various aspects of the four point function for scalar fields in conformally invariant theories are analysed. This depends on an arbitrary function of two conformal invariants u,v. A recurrence relation for the function corresponding to the…

High Energy Physics - Theory · Physics 2009-10-31 F. A. Dolan , H. Osborn

We study the spectrum of open strings on AdS_2 branes in AdS_3 in an NS-NS background, using the SL(2,R) WZW model. When the brane carries no fundamental string charge, the open string spectrum is the holomorphic square root of the spectrum…

High Energy Physics - Theory · Physics 2010-05-28 Peter Lee , Hirosi Ooguri , Jongwon Park , Jonathan Tannenhauser

We consider string theory on AdS_3 in terms of the Wakimoto free field representation. The scattering amplitudes for N unitary tachyons are analysed in the factorization limit and the poles corresponding to the mass-shell conditions for…

High Energy Physics - Theory · Physics 2009-10-31 Gastón Giribet , Carmen Núñez

We consider gauge/gravity correspondence between maximally supersymmetric Yang-Mills theory in ($p+1$) dimensions and superstring theory on the near-horizon limit of the D$p$-brane solution. The string-frame metric is AdS$_{p+1}\times…

High Energy Physics - Theory · Physics 2022-04-27 Tomotaka Kitamura , Shoichiro Miyashita , Yasuhiro Sekino

In this paper, we compute holographically the two-point and three-point functions of giant gravitons with open strings. We consider the maximal giant graviton in $S^5$ and the string configurations corresponding to the ground states of Z=0…

High Energy Physics - Theory · Physics 2011-06-14 Dongsu Bak , Bin Chen , Jun-Bao Wu

We examine three point functions with two scalar operators and a higher spin current in 2d W_N minimal model to the next non-trivial order in 1/N expansion. The minimal model was proposed to be dual to a 3d higher spin gauge theory, and 1/N…

High Energy Physics - Theory · Physics 2017-10-11 Yasuaki Hikida , Takahiro Uetoko

We present a procedure for computing gauge-invariant scattering amplitudes in the $W_3$ string, and use it to calculate three-point and four-point functions. We show that non-vanishing scattering amplitudes necessarily involve external…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , S. Schrans , X. J. Wang

In the 2022 study, together with Paul McFadden and Kostas Skenderis, I analyzed tree-level 3- and 4-point Witten diagrams (amplitudes) of scalar operators in anti-de Sitter space in momentum space. This paper constitutes its extension to…

High Energy Physics - Theory · Physics 2023-12-20 Adam Bzowski

Recently there has been progress on the calculation of three-point functions with two "heavy" operators via semiclassical methods. We extend this analysis to the case of the Lunin-Maldacena background, and examine the suggested procedure…

High Energy Physics - Theory · Physics 2013-05-29 D. Arnaudov , R. C. Rashkov
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