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We consider linear and nonlinear hyperbolic SPDEs with mixed derivatives with additive space-time Gaussian white noise of the form $Y_{xt}=F(Y) + \sigma W_{xt}.$ Such equations, which transform to linear and nonlinear wave equations,…

Numerical Analysis · Mathematics 2015-08-10 Henry C. Tuckwell

We deduce a non-linear commutator higher-spin (HS) symmetry algebra which encodes unitary irreducible representations of the AdS group -- subject to a Young tableaux $Y(s_1,\ldots ,s_k)$ with $k\geq 2$ rows -- in a $d$-dimensional…

High Energy Physics - Theory · Physics 2023-11-28 A. Reshetnyak , P. Moshin

We construct Lifshitz-like Janus solutions in the Einstein-scalar theory with cosmological constant in arbitrary dimensions. They are holographically dual to z=2 Lifshitz-like field theories with a defect. The four-dimensional solutions can…

High Energy Physics - Theory · Physics 2011-02-16 Tatsuma Nishioka , Hiroaki Tanaka

Motivated by superstring theories on $AdS_3$, we construct spacetime superconformal algebras (SCAs) living on the $AdS_3$ boundary in terms of the transversal physical degrees of freedom. The SCAs constructed are N=4 large, middle algebras,…

High Energy Physics - Theory · Physics 2009-10-31 Jian Jing , Ming Yu

We find infinite families of supersymmetric solutions of four dimensional, N=2 gauged supergravity with Lifshitz, Schrodinger and also AdS symmetries. We focus on the canonical example of a single hypermultiplet and a single vector…

High Energy Physics - Theory · Physics 2011-09-12 Nick Halmagyi , Michela Petrini , Alberto Zaffaroni

The space-time dimensions transverse to a static straight cosmic string with a sufficiently large tension (supermassive cosmic strings) are compact and typically have a singularity at a finite distance form the core. In this paper, we…

High Energy Physics - Theory · Physics 2015-06-18 Jose J. Blanco-Pillado , Borja Reina , Kepa Sousa , Jon Urrestilla

We study five-dimensional solutions to Einstein equations coupled to a scalar field. Bounce-type solutions for the scalar field are associated with AdS_5 spaces with smooth warp functions. Gravitons are dynamically localized in this…

High Energy Physics - Theory · Physics 2010-04-06 A. Kehagias , K. Tamvakis

Using Poincare parametrization of AdS space, we study massive totally symmetric arbitrary spin fields in AdS space of dimension greater than or equal to four. CFT adapted gauge invariant formulation for such fields is developed. Gauge…

High Energy Physics - Theory · Physics 2010-03-02 R. R. Metsaev

We generalize the initial steps of the Faddeev-Reshetikhin procedure to the AdS_5 x S^5 superstring theory. Specifically, we propose a modification of the Poisson bracket whose alleviated non-ultralocality enables to write down a lattice…

High Energy Physics - Theory · Physics 2015-06-05 Francois Delduc , Marc Magro , Benoit Vicedo

A holographic method for implementing a particular supersymmetry-preserving deformation to 4d SCFTs is presented. At the heart of the procedure is a soliton solution of minimal $d=5$ gauged supergravity. Embedding this solution into ten-…

High Energy Physics - Theory · Physics 2024-11-25 Dimitrios Chatzis , Ali Fatemiabhari , Carlos Nunez , Peter Weck

We analyze the residual gauge freedom in gravity, in four dimensions, in the light-cone gauge, in a formulation where unphysical fields are integrated out. By checking the invariance of the light-cone Hamiltonian, we obtain a set of…

High Energy Physics - Theory · Physics 2021-11-24 Sudarshan Ananth , Lars Brink , Sucheta Majumdar

We revisit Type IIB supergravity backgrounds with null and spacelike singularities with natural gauge theory duals proposed in {\tt hep-th/0602107} and {\tt hep-th/0610053}. We show that for these backgrounds there are always choices of the…

High Energy Physics - Theory · Physics 2008-11-26 Adel Awad , Sumit R. Das , K. Narayan , Sandip P. Trivedi

Light-cone gauge manifestly supersymmetric formulation of type IIB 10-dimensional supergravity in $AdS_5 \times S^5$ background is discussed. The formulation is given entirely in terms of light-cone scalar superfield, allowing us to treat…

High Energy Physics - Theory · Physics 2007-05-23 R. R. Metsaev

We find an infinite number of conserved currents and charges in the semiclassical limit $\lambda \to \infty$ of string theory in AdS$_5 \times S^5$ and remark on their relevance to conserved charges in the dual gauge theory. We establish a…

High Energy Physics - Theory · Physics 2009-11-07 Gautam Mandal , Nemani V. Suryanarayana , Spenta R. Wadia

We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS_5xS^5 and the scaling weights of the corresponding non-near-BPS operators in planar N=4 supersymmetric gauge theory.…

High Energy Physics - Theory · Physics 2009-09-29 N. Beisert , S. Frolov , M. Staudacher , A. A. Tseytlin

We investigate the monodromy of the Lax connection for classical IIB superstrings on AdS_5xS^5. For any solution of the equations of motion we derive a spectral curve of degree 4+4. The curve consists purely of conserved quantities, all…

High Energy Physics - Theory · Physics 2011-03-23 N. Beisert , V. A. Kazakov , K. Sakai , K. Zarembo

We present results for the one-loop correction to the energy of a class of string solutions in AdS_5 x S^5 in the short string limit. The computation is based on the observation that, as for rigid spinning string elliptic solutions, the…

High Energy Physics - Theory · Physics 2015-05-20 Matteo Beccaria , Guido Macorini , Alin Tirziu

We construct a one-parameter family of flat currents in AdS_5 x S^1 and AdS_3 x S^3 Green-Schwarz superstrings, which would naturally lead to a hierarchy of classical conserved nonlocal charges. In the former case we rewrite the AdS_5 x S^1…

High Energy Physics - Theory · Physics 2009-11-11 Bin Chen , Ya-Li He , Peng Zhang , Xing-Chang Song

We search for a possible bosonic (i.e. non-supersymmetric) string/gauge theory correspondence by using IIB and 0B strings as a guide. Our construction is based on the low-energy bosonic string effective action modified by an extra form…

High Energy Physics - Theory · Physics 2007-05-23 Sergei V. Ketov , Thorsten Leonhardt , Werner Rühl

We consider possible discretizations for a gauge-fixed Green-Schwarz action of Type IIB superstring. We use them for measuring the action, from which we extract the cusp anomalous dimension of planar $\mathcal{N}=4$ SYM as derived from…

High Energy Physics - Theory · Physics 2016-07-20 Lorenzo Bianchi , Marco S. Bianchi , Valentina Forini , Björn Leder , Edoardo Vescovi
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