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We study extremal surfaces in the static patch coordinatization of de Sitter space, focussing on the future and past universes. We find connected timelike codim-2 surfaces on a boundary Euclidean time slice stretching from the future…

高能物理 - 理论 · 物理学 2018-07-10 K. Narayan

We develop a systematic approach to evaluating AdS loop amplitudes based on the spectral (or "split") representation of bulk-to-bulk propagators, which re-expresses loop diagrams in terms of spectral integrals and higher-point tree…

高能物理 - 理论 · 物理学 2018-08-03 Simone Giombi , Charlotte Sleight , Massimo Taronna

Following arXiv:1501.03019 [hep-th], we study de Sitter space and spherical subregions on a constant boundary Euclidean time slice of the future boundary in the Poincare slicing. We show that as in that case, complex extremal surfaces exist…

高能物理 - 理论 · 物理学 2015-12-23 K. Narayan

We consider the one-loop partition function for Euclidean BTZ black hole backgrounds or equivalently thermal AdS_3 backgrounds which are quotients of H_3 (Euclidean AdS_3). The one-loop partition function is modular invariant and we can…

高能物理 - 理论 · 物理学 2008-11-26 Juan Maldacena , Hirosi Ooguri , John Son

We present calculations of the complex-temperature zeros of the partition functions for 2D Ising models on the square lattice with spin $s=1$, 3/2, and 2. These give insight into complex-temperature phase diagrams of these models in the…

高能物理 - 格点 · 物理学 2009-10-28 Victor Matveev , Robert Shrock

We investigate the massless scalar particle dynamics on $AdS_{N+1} ~ (N>1)$ by the method of Hamiltonian reduction. Using the dynamical integrals of the conformal symmetry we construct the physical phase space of the system as a $SO(2,N+1)$…

高能物理 - 理论 · 物理学 2009-11-11 Harald Dorn , George Jorjadze

As was shown earlier, one-loop correction in 10d supergravity on AdS_5 x S^5 corresponds to the contributions to the vacuum energy and boundary 4d conformal anomaly which are minus the values for one n=4 Maxwell supermultiplet, thus…

高能物理 - 理论 · 物理学 2015-06-29 Matteo Beccaria , Guido Macorini , Arkady A. Tseytlin

We investigate the connection between spacetime wormholes and ensemble averaging in the context of higher spin AdS$_3$/CFT$_2$. Using techniques from modular bootstrap combined with some holographic inputs, we evaluate the partition…

高能物理 - 理论 · 物理学 2021-10-08 Diptarka Das , Shouvik Datta

We explain how all information about ambient component field spin assignments in higher-dimensional off-shell supersymmetry is accessibly coded in one-dimensional restrictions, known as shadows. We also explain how to determine whether the…

高能物理 - 理论 · 物理学 2009-11-13 Michael G. Faux , Gregory D. Landweber

The scalar field exchange diagram for the correlation function of four scalar operators is evaluated in anti-de Sitter space, $AdS_{d+1}$. The conformal dimensions $\Delta_i$, $i=1,...,4$ of the scalar operators and the dimension $\Delta$…

高能物理 - 理论 · 物理学 2008-11-26 Eric D'Hoker , Daniel Z. Freedman

We analyze N = 1 theories on S5 and S4 x S1, showing how their partition functions can be written in terms of a set of fundamental 5d holomorphic blocks. We demonstrate that, when the 5d mass parameters are analytically continued to…

高能物理 - 理论 · 物理学 2015-06-18 Fabrizio Nieri , Sara Pasquetti , Filippo Passerini , Alessandro Torrielli

A 'holographic formula' expressing the functional determinant of the scattering operator in an asymptotically locally anti-de Sitter(ALAdS) space has been proposed in terms of a relative functional determinant of the scalar Laplacian in the…

高能物理 - 理论 · 物理学 2009-09-28 Danilo E. Díaz

We derive a holographic relation for the dS static patch with the dual field theory defined on the observer horizon. The starting point is the duality of higher-spin theory on AdS_4 and the O(N) vector model. We build on a similar analytic…

高能物理 - 理论 · 物理学 2013-08-15 Andreas Karch , Christoph F. Uhlemann

We probe the AdS/CFT correspondence by comparing the thermodynamics of a rotating black hole in five-dimensional anti-de Sitter space with that of a conformal field theory on $S^3$, whose parameters come from the boundary of spacetime. In…

高能物理 - 理论 · 物理学 2010-11-19 D. S. Berman , Maulik K. Parikh

In recent years, the holographic duality between $T\bar{T}$-deformed conformal field theory (CFT) and Anti-de Sitter (AdS) spacetime with finite radial cutoff has received significant attention. The study of $T\bar{T}$ deformation within…

高能物理 - 理论 · 物理学 2025-07-10 Jing-Cheng Chang , Song He , Yu-Xiao Liu , Long Zhao

We consider the holographic computation of two dimensional conformal field theory partition functions on non-orientable surfaces. We classify the three dimensional geometries that give bulk saddle point contributions to the partition…

高能物理 - 理论 · 物理学 2016-09-07 Alexander Maloney , Simon F. Ross

We develop a new embedding-space formalism for AdS$_4$ and CFT$_3$ that is useful for evaluating Witten diagrams for operators with spin. The basic variables are Killing spinors for the bulk AdS$_4$ and conformal Killing spinors for the…

高能物理 - 理论 · 物理学 2020-03-18 Damon J. Binder , Daniel Z. Freedman , Silviu S. Pufu

These notes were prepared for the introductory lectures on Higher Spin Holography presented at the Twelfth Modave Summer School in Mathematical Physics 2016, aimed at Ph.D. students and researchers new to this topic. Contents: 1. Higher…

高能物理 - 理论 · 物理学 2017-03-01 Charlotte Sleight

We analyze the folded spinning string in AdS_4 x P^3 with spin S in AdS_4 and angular momentum J in P^3. We calculate the one-loop correction to its energy in the scaling limit of both ln S and J large with their ratio kept fixed. This…

高能物理 - 理论 · 物理学 2009-01-16 Tristan McLoughlin , Radu Roiban

We study the proposal that a de Sitter (dS) universe with an Anti-de Sitter (AdS) bubble can be replaced by a dS universe with a boundary CFT. To explore this duality, we consider incident gravitons coming from the dS universe through the…

高能物理 - 理论 · 物理学 2014-12-09 Sugumi Kanno , Misao Sasaki , Jiro Soda
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