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Lagrangian constraints of the spin 2 selfdual theory in a 2+1 flat space-time are studied and the one degree of freedom reduced action is obtained. From this formulation, the quantum operator algebra is computed and the spin contribution on…

High Energy Physics - Theory · Physics 2007-05-23 Pio J. Arias , Rolando Gaitan D.

We present a new Type IIB supergravity background of the warped form AdS$_4\times \mathcal{M}_6$ with dilaton, $B$-field and all Ramond-Ramond fluxes turned on. We obtain the solution by applying non-Abelian T-duality to a certain…

High Energy Physics - Theory · Physics 2017-08-30 Leopoldo A. Pando Zayas , Dimitrios Tsimpis , Catherine A. Whiting

Centered weighted composition operators on $L^2$-spaces are characterized. The characterization is obtained without the assumption that the operator is a product of a multiplication and a composition operator. The concept of spectrally…

Functional Analysis · Mathematics 2026-04-20 Piotr Budzyński

We investigate aspects of holographic duals to time-like warped AdS_3 space-times--which include G\"odel's universe--in string theory. Using worldsheet techniques similar to those that have been applied to AdS_3 backgrounds, we are able to…

High Energy Physics - Theory · Physics 2011-01-17 Stéphane Detournay , Dan Israel , Joshua M. Lapan , Mauricio Romo

We consider a second order difference equation with operator-valued coefficients. More precisely, we study either compact or trace class perturbations of the discrete Laplacian in the Hilbert space of bi-infinite square-summable sequence…

Spectral Theory · Mathematics 2025-01-22 David Sher , Luis Silva , Boris Vertman , Monika Winklmeier

We present an interacting spin-2 gauge theory coupled to the two-dimensional dilaton-gravity in flat spacetime. The asymptotic symmetry group is enhanced to the central extension of Diff$(S^1)\ltimes C^\infty(S^1)\ltimes$Vec($S^1$) when the…

High Energy Physics - Theory · Physics 2021-08-04 Hamid Afshar , Erfan Esmaeili , Hamid Safari

Extending the results of \cite{Heem}, \cite{KLRS} on the holographic representation of local gauge field operators in anti de Sitter space, here we construct the bulk operators for higher spin gauge fields in the leading order of…

High Energy Physics - Theory · Physics 2015-04-29 Debajyoti Sarkar , Xiao Xiao

We study out-of-time ordered four-point functions in two dimensional conformal field theories by suitably analytically continuing the Euclidean correlator. For large central charge theories with a sparse spectrum, chaotic dynamics is…

High Energy Physics - Theory · Physics 2019-03-22 Chi-Ming Chang , David M. Ramirez , Mukund Rangamani

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

We develop in components the superspace action obtained in arXiv:2110.07623 describing the first massive level of the open charged superstring in a flat four-dimensional spacetime. In the absence of an electromagnetic background, we show…

High Energy Physics - Theory · Physics 2023-04-12 Karim Benakli , Cassiano A. Daniel , Wenqi Ke

In this paper we investigate the holographic computation of the two-point functions of $\frac{1}{2}$-BPS chiral primary operators with scaling dimensions $\Delta \sim N$ or $\Delta \sim N^2$ in $\mathcal{N}=4$ $SU(N)$ SYM using Type IIB…

High Energy Physics - Theory · Physics 2026-04-20 Prokopii Anempodistov

A covariant quantization of the free spinor fields (s=1/2) in 4-dimensional de Sitter (dS) space-time based on analyticity in the complexified pseudo-Riemanian manifold is presented. We define the Wigthman two-point function ${\cal…

General Relativity and Quantum Cosmology · Physics 2016-08-31 M. V. Takook

We study asymptotic charges for symmetric massless higher-spin fields on Anti de Sitter backgrounds of arbitrary dimension within the canonical formalism. We first analyse in detail the spin-3 example: we cast Fronsdal's action in…

High Energy Physics - Theory · Physics 2016-11-23 Andrea Campoleoni , Marc Henneaux , Sergio Hörtner , Amaury Leonard

We present supersymmetric, curved space, quantum mechanical models based on deformations of a parabolic subalgebra of osp(2p+2|Q). The dynamics are governed by a spinning particle action whose internal coordinates are Lorentz vectors…

High Energy Physics - Theory · Physics 2008-11-26 K. Hallowell , A. Waldron

We study compactifications of an infinite family of four-dimensional $\mathcal{N}=1$ SCFTs on a Riemann surface in the presence of arbitrary background fluxes for global symmetries. The four-dimensional parent theories have holographic…

High Energy Physics - Theory · Physics 2020-04-22 Christopher Couzens , Huibert het Lam , Kilian Mayer

We consider in this paper space-cutoff charged $P(\varphi)_{2}$ models arising from the quantization of the non-linear charged Klein-Gordon equation: \[ (\p_{t}+\i V(x))^{2}\phi(t, x)+ (-\Delta_{x}+ m^{2})\phi(t,x)+…

Mathematical Physics · Physics 2015-05-13 Christian Gérard

We discuss marginal deformations of warped AdS$_3\times$S$^2$ solutions preserving small $\mathcal{N}=(0,4)$ supersymmetry in massive IIA and eleven-dimensional supergravity and obtain a whole family of new solutions. We characterise these…

High Energy Physics - Theory · Physics 2021-02-12 Salomon Zacarias

We propose a q-deformation of the su(2)-invariant Schrodinger equation of a spinless particle in a central potential, which allows us not only to determine a deformed spectrum and the corresponding eigenstates, as in other approaches, but…

Quantum Algebra · Mathematics 2009-10-31 M. Irac-Astaud , C. Quesne

We present the Lagrangian and Hamiltonian formulations of a theory for spin 2 fields. The construction is developed in flat space-time. The construction in curved space-time is conceptually straightforward, although it is not unique. The…

General Relativity and Quantum Cosmology · Physics 2020-10-13 J. W. Maluf , S. C. Ulhoa

We present a new infinite family of Type IIB supergravity solutions preserving eight supercharges. The structure of the space is $\text{AdS}_2\times\text{S}^2\times \text{CY}_2\times \text{S}^1$ fibered over an interval. These solutions can…

High Energy Physics - Theory · Physics 2021-04-28 Yolanda Lozano , Carlos Nunez , Anayeli Ramirez