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We derive the stress-energy tensor for polyharmonic maps between Riemannian manifolds. Moreover, we employ the stress-energy tensor to characterize polyharmonic maps where we pay special attention to triharmonic maps.

Differential Geometry · Mathematics 2019-09-17 Volker Branding

We carry out a detailed superspace analysis of the OPE of two N=2 stress-tensor multiplets. Knowledge of the multiplets appearing in the expansion, together with the two-dimensional chiral algebra description of N=2 SCFTs, imply an analytic…

High Energy Physics - Theory · Physics 2016-03-16 Pedro Liendo , Israel Ramirez , Jihye Seo

A method for computing the stress-energy tensor for the quantized, massless, spin 1/2 field in a general static spherically symmetric spacetime is presented. The field can be in a zero temperature state or a non-zero temperature thermal…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Peter B. Groves , Paul R. Anderson , Eric D. Carlson

In the AdS$_3$/CFT$_2$ framework, the Euclidean BTZ black hole corresponds to the dominant high-temperature phase of its dual field theory. We initially employ perturbative methods to solve the Einstein equations as boundary value problems,…

High Energy Physics - Theory · Physics 2024-06-26 Song He , Yi Li , Yun-Ze Li , Yunda Zhang

In strongly coupled conformal field theories with a large central charge important light degrees of freedom are the stress tensor and its composites, multi-stress tensors. We consider the OPE expansion of two-point functions of the stress…

High Energy Physics - Theory · Physics 2022-10-31 Robin Karlsson , Andrei Parnachev , Valentina Prilepina , Samuel Valach

We consider thermal stress-tensor two-point functions in holographic theories in the near-lightcone regime and analyse them using the operator product expansion (OPE). In the limit we consider only the leading-twist multi-stress tensors…

High Energy Physics - Theory · Physics 2023-10-30 Chantelle Esper , Kuo-Wei Huang , Robin Karlsson , Andrei Parnachev , Samuel Valach

The two-point function of the stress tensor operator of a quantum field in de Sitter spacetime is calculated for an arbitrary number of dimensions. We assume the field to be in the Bunch-Davies vacuum, and formulate our calculation in terms…

General Relativity and Quantum Cosmology · Physics 2010-06-15 Guillem Pérez-Nadal , Albert Roura , Enric Verdaguer

We discuss to what extent the full set of Ward Identities constrain the four-point function of the stress-energy tensors or conserved currents in a conformal field theory. We calculate the number of kinematically unrestricted functional…

High Energy Physics - Theory · Physics 2020-06-11 Anatoly Dymarsky

We compute four point functions of the stress tensor and conserved currents in AdS_4/CFT_3 using bulk perturbation theory. We work at treel level in the bulk theory, which we take to be either pure gravity or Yang Mills theory in AdS. We…

High Energy Physics - Theory · Physics 2013-05-30 Suvrat Raju

Using Hilbert's criterion, we consider the stress-energy tensor associated to the bienergy functional. We show that it derives from a variational problem on metrics and exhibit the peculiarity of dimension four. First, we use this tensor to…

Differential Geometry · Mathematics 2007-05-23 E. Loubeau , S. Montaldo , C. Oniciuc

The bound state of one NS5 brane (wrapped on a $\mathbb{T}^4$) and $N$ NS1-branes has two dual descriptions: its low-energy dynamics is described by the symmetric orbifold of $\mathbb{T}^4$, while the near horizon geometry is captured by…

High Energy Physics - Theory · Physics 2023-12-05 Matthias R. Gaberdiel , Bin Guo , Samir D. Mathur

We provide an explicit expression for the renormalized expectation value of the stress-energy tensor of a spin-$1/2$ field in a spatially flat FLRW universe. Its computation is based on the extension of the adiabatic regularization method…

General Relativity and Quantum Cosmology · Physics 2021-09-17 Adrian del Rio , Jose Navarro-Salas , Francisco Torrenti

We study the two-point function of the stress-tensor multiplet of $\mathcal{N}=4$ SYM in the presence of a line defect. To be more precise, we focus on the single-trace operator of conformal dimension two that sits in the $20'$ irrep of the…

High Energy Physics - Theory · Physics 2023-01-11 Julien Barrat , Pedro Liendo , Jan Plefka

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

In a previous paper, we pointed out how a dimensional analysis of the stress-energy tensor of the gravitational field allows to derive the field equation of General Relativity. In this note, we comment an analogous reasoning in presence of…

General Relativity and Quantum Cosmology · Physics 2011-01-14 J. Navarro , J. B. Sancho

We consider correlation functions for string theory on AdS_3. We analyze their singularities and we provide a physical interpretation for them. We explain which worldsheet correlation functions have a sensible physical interpretation in…

High Energy Physics - Theory · Physics 2016-09-06 Juan Maldacena , Hirosi Ooguri

We present two complementary approaches to calculating the 2-point function of stress tensors in the presence of a 1/2 BPS surface defect of the 6d $\mathcal{N} = (2,0)$ theories. First, we use analytical bootstrap techniques at large $N$…

High Energy Physics - Theory · Physics 2023-09-12 Carlo Meneghelli , Maxime Trépanier

We analyze the constraints on the general form and the singularity structure of the correlation functions of the symmetric, traceless and conserved stress-energy tensor implied by conformal invariance and higher spin symmetry in four…

High Energy Physics - Theory · Physics 2015-06-16 Yassen S. Stanev

We compute the correlation functions of 3 and 4 stress energy tensors $(T)$ in D=3 in free field theories of scalars, abelian gauge fields, and fermions, which are relevant in the analysis of cosmological non-gaussianities. These…

High Energy Physics - Theory · Physics 2013-01-29 Claudio Coriano , Luigi Delle Rose , Mirko Serino

We present a complete momentum-space prescription for the renormalisation of tensorial correlators in conformal field theories. Our discussion covers all 3-point functions of stress tensors and conserved currents in arbitrary spacetime…

High Energy Physics - Theory · Physics 2026-04-01 Adam Bzowski , Paul McFadden , Kostas Skenderis