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The pure spinor formalism for the superstring has the advantage over the more conventional Ramond-Neveu-Schwarz formalism of being manifestly spacetime supersymmetric, which simplifies the computation of multiparticle and multiloop…

High Energy Physics - Theory · Physics 2025-03-06 Nathan Berkovits , Carlos R. Mafra

We revisit the path integral formulation of bosonic string theory in locally-AdS$_3$ spacetimes. Through a careful analysis of the worldsheet sigma model, we write down an effective theory of long strings living near the boundary of…

High Energy Physics - Theory · Physics 2024-10-23 Bob Knighton

Using pure spinors, the superstring is covariantly quantized. For the first time, massless vertex operators are constructed and scattering amplitudes are computed in a manifestly ten-dimensional super-Poincar\'e covariant manner.…

High Energy Physics - Theory · Physics 2009-10-31 Nathan Berkovits

We revisit the computation of the string partition function in AdS$_3$ focussing on the appearance of spacetime (super) symmetries. We show how the asymptotic symmetries of the AdS$_3$ spacetime, which generate the boundary (super) Virasoro…

High Energy Physics - Theory · Physics 2025-05-21 Christian Ferko , Sameer Murthy , Mukund Rangamani

We argue that the recently discovered integrability in the large-N CFT/AdS system is equivalent to diffractionless scattering of the corresponding hidden elementary excitations. This suggests that, perhaps, the key tool for finding the…

High Energy Physics - Theory · Physics 2009-11-10 Matthias Staudacher

We construct the boundary algebraic Bethe Ansatz for the AdS3 X S3 X T4 integrable reflection problem restricted to the massless sector. We derive the double-row monodromy and find the appropriate formulation of the dual equation of…

High Energy Physics - Theory · Physics 2024-12-02 Daniele Bielli , Vasileios Moustakis , Alessandro Torrielli

We compute the tree-level bosonic S matrix in light-cone gauge for superstrings on pure-NSNS $\text{AdS}_{3}\times\text{S}^3\times\text{S}^3\times\text{S}^1$. We show that it is proportional to the identity and that it takes the same form…

High Energy Physics - Theory · Physics 2019-03-27 Andrea Dei , Alessandro Sfondrini

The integrated massless vertex operator in an $AdS_5\times S^5$ background in the pure spinor formalism is constructed in terms of superfields.

High Energy Physics - Theory · Physics 2020-09-23 Osvaldo Chandia , Brenno Carlini Vallilo

We derive a geometrical characterisation of a large class of AdS_3 and AdS_2 supersymmetric spacetimes in IIB supergravity with non-vanishing five-form flux using G-structures. These are obtained as special cases of a class of…

High Energy Physics - Theory · Physics 2008-11-26 Jerome P. Gauntlett , Oisin A. P. Mac Conamhna

We quantize the space of 1/2 BPS configurations of Type IIB SUGRA found by Lin, Lunin and Maldacena (hep-th/0409174), directly in supergravity. We use the Crnkovic-Witten-Zuckerman covariant quantization method to write down the expression…

High Energy Physics - Theory · Physics 2009-11-11 Lars Grant , Liat Maoz , Joseph Marsano , Kyriakos Papadodimas , Vyacheslav S. Rychkov

In this work, we study the proposed duality between superstring on AdS$_3\times$S$^3\times\mathbb{T}^4$ with pure NS-NS flux and a deformed symmetric orbifold CFT. We extract the residues of 3-point string correlators at their…

High Energy Physics - Theory · Physics 2025-06-23 Zhe-fei Yu

We construct a string sigma-model which low energy limit describes the anti de Sitter gravity and spin 3 massless fields in Vasiliev's frame-like formalism. The model is based on vertex operators generating vielbein and connection fields in…

High Energy Physics - Theory · Physics 2015-05-28 Dimitri Polyakov

The near boundary limit of string theory in AdS_3 is analysed using the Wakimoto free field representation of SL(2,R). The theory is considered as a direct product of the SL(2,R)/U(1) coset and a free boson. Correlation functions are…

High Energy Physics - Theory · Physics 2009-10-31 Gaston Giribet , Carmen Nunez

We study classical open string solutions with a null polygonal boundary in AdS_3 in relation to gluon scattering amplitudes in N=4 super Yang-Mills at strong coupling. We derive in full detail the set of integral equations governing the…

High Energy Physics - Theory · Physics 2014-11-20 Yasuyuki Hatsuda , Katsushi Ito , Kazuhiro Sakai , Yuji Satoh

We present a new auxiliary field representation for the four-fermi term of the gauge-fixed Green-Schwarz superstring action which describes fluctuations around the null-cusp background in $AdS_5\times S^5$. We sketch the main features of…

High Energy Physics - Lattice · Physics 2017-02-08 Valentina Forini , Lorenzo Bianchi , Bjoern Leder , Philipp Toepfer , Edoardo Vescovi

We investigate the nonlinear realization of partially broken $N$=2 global supersymmetry in the D=2 and 3 anti de-Sitter (AdS) space. We particularly study Nambu-Goldstone degrees of freedom for the $N$=2 AdS supersymmetry partially broken…

High Energy Physics - Theory · Physics 2009-10-31 Masayuki Sano , Tsuneo Uematsu

We consider fixing the bosonic light-cone gauge for string in AdS in the phase space framework, i.e. by choosing $x^+ = \tau$, and by choosing $\sigma$ so that $P^+$ is distributed uniformly (its density is independent of $\sigma$). We…

High Energy Physics - Theory · Physics 2009-09-17 R. R. Metsaev , C. B. Thorn , A. A. Tseytlin

Few vacua are known for the three tachyon-free non-supersymmetric string theories. We find new classes of AdS backgrounds by focusing on spaces where the equations of motion reduce to purely algebraic conditions. Our first examples involve…

High Energy Physics - Theory · Physics 2025-12-16 Salvatore Raucci , Alessandro Tomasiello

The ambient space of dimension d+2 allows to formulate both fields on AdS(d+1) and conformal fields in d dimensions such that the symmetry algebra o(d,2) is realized linearly. We elaborate an ambient approach to the boundary analysis of…

High Energy Physics - Theory · Physics 2015-06-05 Xavier Bekaert , Maxim Grigoriev

We study spacetime four-point functions of chiral primary operators for superstrings propagating in AdS$_3\times S^3\times T^4$ from the worldsheet perspective, allowing for external states with arbitrary spectral flow charges. We work at…

High Energy Physics - Theory · Physics 2025-10-20 Emiliano Barone , Sergio Iguri , Nicolas Kovensky , Julian H. Toro
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