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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

We pursue the study of string interactions in the PP-wave background and show that the proposal of hep-th/0211188 can be extended to a full supersymmetric vertex. Then we compute some string amplitudes in both the bosonic and fermionic…

High Energy Physics - Theory · Physics 2009-11-10 Paolo Di Vecchia , Jens Lyng Petersen , Michela Petrini , Rodolfo Russo , Alessandro Tanzini

We employ the free field realisation of the $\mathfrak{psu}(1,1|2)_1$ world-sheet theory to constrain the correlators of string theory on ${\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4$ with unit NS-NS flux. In particular, we directly…

High Energy Physics - Theory · Physics 2021-02-15 Andrea Dei , Matthias R. Gaberdiel , Rajesh Gopakumar , Bob Knighton

We consider the worldsheet S matrix of superstrings on an AdS3xS3xT4 NS-NS background in uniform light-cone gauge. We argue that scattering is given by a CDD factor that is non-trivial only between opposite-chirality particles, yielding a…

High Energy Physics - Theory · Physics 2018-07-25 Marco Baggio , Alessandro Sfondrini

The type IIB supergravity AdS_3 x S^3 x T^4 background with mixed RR and NSNS 3-form fluxes is a near-horizon limit of a non-threshold bound state of D5-D1 and NS5-NS1 branes. The corresponding superstring world-sheet theory is expected to…

High Energy Physics - Theory · Physics 2015-06-15 B. Hoare , A. A. Tseytlin

Using the path integral approach, we discuss the correlation functions of the $SL(2,\bfC)/SU(2)$ WZW model, which corresponds to the string theory on the Euclidean $AdS_3$. We obtain the two- and three-point functions for generic primary…

High Energy Physics - Theory · Physics 2016-09-06 Nobuyuki Ishibashi , Kazumi Okuyama , Yuji Satoh

We compute the AdS Veneziano amplitude for type IIB gluon scattering in $AdS_5 \times S^3$ to all orders in $\alpha'$ in a small curvature expansion. This is achieved by combining a dispersion relation in the dual $4d$ $\mathcal{N}=2$ SCFT…

High Energy Physics - Theory · Physics 2026-02-24 Luis F. Alday , Shai M. Chester , Tobias Hansen , De-liang Zhong

The scattering equations relate massless scattering kinematics to marked points on a Riemann sphere, and underpin remarkable formulae for the full tree-level S-matrices of many interesting QFTs, including cubic biadjoint scalars, Yang-Mills…

High Energy Physics - Theory · Physics 2026-01-13 Tim Adamo , Iustin Surubaru , Bin Zhu

Non-linear sigma models defined on symmetric target spaces have a wide set of applications in modern physics, including the description of string propagation in symmetric spaces, such as AdS or dS, or minimal surfaces in hyperbolic spaces.…

High Energy Physics - Theory · Physics 2017-11-13 Georgios Pastras

Recently, exact agreement has been found between bulk and boundary three-point functions in AdS_3 x S^3 x T^4 with NSNS fluxes. This represents a non-trivial check of AdS/CFT correspondence beyond the supergravity approximation as it…

High Energy Physics - Theory · Physics 2011-06-02 Gaston Giribet , Lorena Nicolás

We make a general Killing spinor analysis of a particular $D=3, \, N=4$ gauged supergravity that comes from a consistent S$^3$ reduction of $D=6, \, N=(1,0)$ supergravity coupled to a single chiral tensor multiplet. We then focus on its…

High Energy Physics - Theory · Physics 2024-11-01 Nihat Sadik Deger , Ceren Ayse Deral , Aritra Saha , Özgür Sarıoğlu

We analyze a bulk effective field theory in AdS containing a U(1)-charged massive spin-2 field coupled to a gauge field, by performing the required holographic renormalization, and computing the one and two-point functions. We then compute…

High Energy Physics - Theory · Physics 2026-02-04 Vijay Nenmeli , Arvind Shekar , Mritunjay Verma

We first clarify the relation between boundary perturbations of AdS3 in general relativity, and exactly marginal worldsheet vertex operators in AdS3 string theory with Neveu-Schwarz Neveu-Schwarz flux. The latter correspond to solutions of…

High Energy Physics - Theory · Physics 2014-11-21 Jan Troost

Field theory in space-time with boundary has an interesting sub-sector, where propagator is difference of those with Neumann and Dirichlet boundary conditions. Such boundary-induced theory in the bulk is essentially holomorphic and is…

High Energy Physics - Theory · Physics 2010-02-03 D. Krotov , A. Morozov

We explore the quantisation of the tachyonic type 0B superstring and the non-tachyonic $\text{Spin}(16) \times \text{Spin}(16) \rtimes \mathbb{Z}_2$ heterotic string on AdS$_3 \times S^3 \times T^4$ and AdS$_3 \times S^3 \times S^3 \times…

High Energy Physics - Theory · Physics 2025-12-23 Giorgio Leone

We address the novel structures arising in quantum and string integrable theories, as well as construct methods to obtain them and provide further analysis. Specifically, we implement the automorphic symmetries on periodic lattice systems…

High Energy Physics - Theory · Physics 2022-11-01 Anton Pribytok

We consider string theory on AdS$_3$ $\times$ (S$^3$ $\times$ S$^3$ $\times$ S$^1)/\mathbb Z_2$, a background supporting $\mathcal N=(3,3)$ spacetime supersymmetry. We propose that string theory on this background is dual to the symmetric…

High Energy Physics - Theory · Physics 2018-05-28 Lorenz Eberhardt , Ida G. Zadeh

The AdS_5 superalgebra PSU(2,2|4) has an infinite dimensional extension, which we denote by hs(2,2|4). We show that the gauging of hs(2,2|4) gives rise to a spectrum of physical massless fields which coincides with the symmetric tensor…

High Energy Physics - Theory · Physics 2010-02-03 E. Sezgin , P. Sundell

We study topological string amplitudes for the local half K3 surface. We develop a method of computing higher-genus amplitudes along the lines of the direct integration formalism, making full use of the Seiberg-Witten curve expressed in…

High Energy Physics - Theory · Physics 2017-04-19 Kazuhiro Sakai

We compute four-point functions in the Heavy-Heavy-Light-Light limit involving all possible $\frac{1}{8}$-BPS heavy states whose dual supergravity solutions are explicitly known, avoiding the use of Witten diagrams. This is achieved by…

High Energy Physics - Theory · Physics 2019-06-24 Alessandro Bombini , Andrea Galliani