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In this thesis we discuss how one can derive the quantum spectral curve for the $\eta$-deformed AdS$_5 \times S^5$ superstring, an integrable deformation of the AdS$_5 \times $S$^5$ superstring with quantum group symmetry. This model can be…

High Energy Physics - Theory · Physics 2018-11-21 Rob Klabbers

String theory on NS-NS AdS_3 x S^3 admits an exactly marginal deformation which breaks the SL(2,R)_R x SL(2,R)_L isometry of AdS_3 down to SL(2,R)_R x U(1)_L. The holographic dual is an exotic and only partially understood type of…

High Energy Physics - Theory · Physics 2015-06-05 Tatsuo Azeyanagi , Diego M. Hofman , Wei Song , Andrew Strominger

We initiate the study of Dyson equations of perturbative QFT in AdS and their consequences for large-N CFT. We show that the dressed one-particle AdS propagator features wavefunction renormalization and operator mixing, giving rise to…

High Energy Physics - Theory · Physics 2023-09-06 Sylvain Fichet

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

We follow up on our proposal for dressing factors for the mixed-flux $AdS_3\times S^3\times T^4$ background presented in arXiv:2402.11732. We discuss in detail the analytic properties of the dressing factors in the string and mirror…

High Energy Physics - Theory · Physics 2025-04-29 Sergey Frolov , Davide Polvara , Alessandro Sfondrini

We show that $3$-dimensional AdS spacetime can be semiclassically unstable due to strongly interacting quantum field effects. In our previous paper, we have pointed out the possibility of such an instability of AdS$_3$ by inspecting linear…

High Energy Physics - Theory · Physics 2023-12-19 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

We study the boundary integrability problem of the massless sector of $AdS_3 \times S^3 \times T^4 $ string theory. Exploiting the difference-form of the massless scattering theory, we find a very simple and exhaustive list of reflection…

High Energy Physics - Theory · Physics 2024-05-07 Daniele Bielli , Vaibhav Gautam , Vasileios Moustakis , Andrea Prinsloo , Alessandro Torrielli

This article is the first of two in which we develop a geometric framework for analysing silent and anisotropic big bang singularities. The results of the present article concern the asymptotic behaviour of solutions to linear systems of…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Hans Ringström

We present a detailed study of the pulsating string solutions in AdS3 x S3 supported by both RR and NS-NS fluxes. This background has recently been proved to be integrable. We find the dispersion relation between the energy, oscillation…

High Energy Physics - Theory · Physics 2016-01-20 Aritra Banerjee , Kamal L. Panigrahi , Manoranjan Samal

Most quantum states have wavefunctions that are widely spread over the accessible Hilbert space and hence do not have a good description in terms of a single classical geometry. In order to understand when geometric descriptions are…

High Energy Physics - Theory · Physics 2009-04-17 Vijay Balasubramanian , Bartlomiej Czech , Donald Marolf , Klaus Larjo , Joan Simon

A new approach to multi-dimensional quantum scattering by the infinite order discrete variable representation is presented. Determining the expansion coefficients of the wave function at the asymptotic regions by the solution of the…

Atomic Physics · Physics 2007-05-23 Nark Nyul Choi , Min-Ho Lee , Sung Ho Suck Salk

We apply the new fall of conditions presented in the paper \cite{10} on asymptotically flat spacetime solutions of Chern-Simons-like theories of gravity. We show that the considered fall of conditions asymptotically solve equations of…

High Energy Physics - Theory · Physics 2018-03-14 M. R. Setare , H. Adami

We show that, for the scalar field cosmology with exponential potential, the set of values of the coupling parameter for which the solutions undergo a transient period of acceleration is much larger than the set discussed in the literature.…

General Relativity and Quantum Cosmology · Physics 2014-01-29 Mustapha Azreg-Aïnou

We couple n copies of N=(2,0) scalar multiplets to a gauged N=(2,0) supergravity in 2+1 dimensions which admits AdS_3 as a vacuum. The scalar fields are charged under the gauged R-symmetry group U(1) and parametrize certain Kahler manifolds…

High Energy Physics - Theory · Physics 2009-10-31 N. S. Deger , A. Kaya , E. Sezgin , P. Sundell

In this paper we give an explicit construction of unfolded equations for massive higher spin supermultiplets of the minimal (1,0) supersymmetry in AdS_3 space. For that purpose we use an unfolded formulation for massive bosonic and…

High Energy Physics - Theory · Physics 2016-08-17 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

String theory contains solutions with SL(2,R)_R x U(1)_L-invariant warped AdS3 (WAdS3) factors arising as continuous deformations of ordinary AdS3 factors. We propose that some of these are holographically dual to the IR limits of nonlocal…

High Energy Physics - Theory · Physics 2015-05-30 Wei Song , Andrew Strominger

We study the $O(N)$ and Gross-Neveu models at large $N$ on AdS$_{d+1}$ background. Thanks to the isometries of AdS, the observables in these theories are constrained by the SO$(d,2)$ conformal group even in the presence of mass…

High Energy Physics - Theory · Physics 2019-02-20 Dean Carmi , Lorenzo Di Pietro , Shota Komatsu

We present minimally supersymmetric AdS$_4$ flux vacua derived from massive type IIA compactified on $T^6/\mathbb{Z}_3\times \mathbb{Z}_3$ orbifold, characterized by unconstrained fluxes with general scaling. We discover anisotropic scaling…

High Energy Physics - Theory · Physics 2023-09-29 George Tringas

We construct and classify all space-like minimal surfaces in AdS_3 x S^3 which globally admit coordinates with constant induced metric on both factors. Up to O(2,2) x O(4) transformations all these surfaces, except one class, are…

High Energy Physics - Theory · Physics 2010-12-17 Harald Dorn , George Jorjadze , Chrysostomos Kalousios , Luka Megrelidze , Sebastian Wuttke

We consider a nonrelativistic quantum particle constrained to a curved layer of constant width built over a non-compact surface embedded in $R^3$. We suppose that the latter is endowed with the geodesic polar coordinates and that the layer…

Mathematical Physics · Physics 2009-11-07 Pierre Duclos , Pavel Exner , David Krejcirik
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