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Using unitarity methods, we compute, for several massive two-dimensional models, the cut-constructible part of the one-loop 2->2 scattering S-matrices from the tree-level amplitudes. We apply our method to various integrable theories,…

High Energy Physics - Theory · Physics 2015-06-15 Lorenzo Bianchi , Valentina Forini , Ben Hoare

We present a semiclassical derivation of the tree-level and 1-loop dressing phases in the massive sector of string theory on AdS_3 x S^3 x T^4 supplemented by R-R and NS-NS 3-form fluxes. In analogy with the AdS_5 x S^5 case, we use the…

High Energy Physics - Theory · Physics 2015-04-22 A. Stepanchuk

The integrability-based solution of string theories related to AdS(n)/CFT(n-1) dualities relies on the worldsheet S matrix. Using generalized unitarity we construct the terms with logarithmic dependence on external momenta at one- and…

High Energy Physics - Theory · Physics 2014-05-28 Oluf Tang Engelund , Ryan W. McKeown , Radu Roiban

We compute the one-loop correction to the classical dispersion relation of rigid closed spinning strings with two equal angular momenta in the $AdS_3 \times S^3 \times T^4$ background supported with a mixture of R-R and NS-NS three-form…

High Energy Physics - Theory · Physics 2018-07-30 Juan Miguel Nieto , Roberto Ruiz

The standard unitarity-cut method is applied to several massive two-dimensional models, including the world-sheet AdS$_5\times S^5$ superstring, to compute $2\to 2$ scattering S-matrices at one loop from tree level amplitudes. Evidence is…

High Energy Physics - Theory · Physics 2014-01-03 Valentina Forini , Lorenzo Bianchi , Ben Hoare

We review the recent progress towards applying worldsheet integrability techniques to the $AdS_3/CFT_2$ correspondence to find its all-loop S matrix and Bethe-Yang equations. We study in full detail the massive sector of $AdS_3\times…

High Energy Physics - Theory · Physics 2014-12-18 Alessandro Sfondrini

We propose exact $S$-matrices for the AdS_3/CFT_2 duality between Type IIB strings on AdS_3 x S^3 x M_4 with M_4=S^3 x S^1 or T^4 and the corresponding two-dimensional conformal field theories. We fix the complete two-particle S-matrices…

High Energy Physics - Theory · Physics 2015-06-12 Changrim Ahn , Diego Bombardelli

We re-examine the computation of the one-loop partition function of Type II supergravity theory compactified on $AdS_3 \times \mathbf{S}^3 \times X$, where $X$ can be $K_3$, $T^4$ and $\mathbf{S}^3 \times \mathbf{S}^1$. These backgrounds…

High Energy Physics - Theory · Physics 2025-08-22 Ilija Rakic , Lorenzo Toni

We consider integrable superstring theory on AdS_3 x S^3 x M^4 where M^4=T^4 or M^4=S^3 x S^1 with generic ratio of the radii of the two 3-spheres. We compute the one-loop energy of a short folded string spinning in AdS_3 and rotating in…

High Energy Physics - Theory · Physics 2015-06-12 Matteo Beccaria , Guido Macorini

We revisit the calculation of one-loop corrections to the partition functions of a string ending on a circular or straight line in type IIB string theory on $AdS_3\times S^3 \times T^4$ supported by a mixture of 3-form fluxes depending on a…

High Energy Physics - Theory · Physics 2021-09-28 Daniel Pajer

We use relativistic invariance to investigate two aspects of integrable AdS${}_3$ string theory. Firstly, we write down the all-loop TBA equations for the massless sector of the theory with R-R flux, using the recently discovered hidden…

High Energy Physics - Theory · Physics 2019-09-04 Andrea Fontanella , Olof Ohlsson Sax , Bogdan Stefański , jr. , Alessandro Torrielli

We compute the one-loop effective action of string configurations embedded in $AdS_4\times\mathbb{CP}^3$ which are dual to $\frac{1}{6}$-BPS latitude Wilson Loops in the ABJM theory. To avoid ambiguities in the string path integral we…

High Energy Physics - Theory · Physics 2020-01-08 Marina David , Rodrigo de León Ardón , Alberto Faraggi , Leopoldo A. Pando Zayas , Guillermo A. Silva

Noncommutative \phi^3 field theory in six dimensions exhibits the logarithmic UV/IR mixing at the two-loop order. We show that open string theory in the presence of constant background NS-NS two-form field yields the same amplitude upon…

High Energy Physics - Theory · Physics 2008-11-26 Youngjai Kiem , Sangmin Lee , Jaemo Park

This paper studies semiclassical strings in AdS3 x S3 x S3 x S1 using the algebraic curve. Calculating one-loop corrections to the energy of the giant magnon fixes the constant term c in the expansion of the coupling h(\lambda). Comparing…

High Energy Physics - Theory · Physics 2013-02-21 Michael C. Abbott

We bootstrap the all-loop dynamic S-matrix for the homogeneous psu(1,1|2)^2 spin-chain believed to correspond to the discretization of the massive modes of string theory on AdS_3 x S^3 x T^4. The S-matrix is the tensor product of two copies…

High Energy Physics - Theory · Physics 2015-06-15 Riccardo Borsato , Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefanski , Alessandro Torrielli

Boundary integrability provides rare analytic control over field theories with interfaces, from quantum impurity problems to open string dynamics. We propose an analytic approach for integrable boundaries in two-dimensional sigma-models…

High Energy Physics - Theory · Physics 2026-03-13 Julio Cabello Gil , Sibylle Driezen

The so called one-parameter (often called $\varkappa$) deformed $AdS$ string sigma models have attracted a lot of attention lately in the study of integrability in string theory. We construct various circular string solutions in the $(AdS_3…

High Energy Physics - Theory · Physics 2016-10-12 Aritra Banerjee , Kamal L. Panigrahi

We compute the one-loop worldsheet S-matrix for the superstring in AdS(3) x S(3) x T(4) supported by a combination of RR and NSNS flux in the massive sector. In the appropriate regularization scheme it agrees with the S-matrix found from…

High Energy Physics - Theory · Physics 2015-06-23 Per Sundin , Linus Wulff

String theory on ${\rm AdS}_3 \times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1$ with pure NS-NS flux and minimal flux through one of the two ${\rm S}^3$'s is studied from a world-sheet perspective. It is shown that the spacetime spectrum,…

High Energy Physics - Theory · Physics 2021-01-13 Lorenz Eberhardt , Matthias R. Gaberdiel

We show that the massless integrable sector of the AdS_3 \times S^3 \times T^4 superstring theory, which admits a non-trivial relativistic limit, provides a setting where it is possible to determine exact minimal solutions to the form…

High Energy Physics - Theory · Physics 2022-11-15 Alessandro Torrielli
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