On the stress tensor of conformal field theories in higher dimensions
Abstract The behaviour of the stress tensor under conformal transformations of both flat and curved spaces is investigated for free theories in a classical background metric. In flat space ℝ d it is derived by the operator product expansion of two stress tensors.
Andrea Cappelli, Antoine Coste
semanticscholar +3 more sources
Index Theory for Short-Ranged Fields in Higher Dimensions
Let \(M\) be a noncompact Riemannian spin manifold of even dimension with a warped end. This means that there exist a compact Riemannian manifold \((N,d\sigma)\) and a compact set \(K_ 0 \subset M\) such that \(M\setminus K_ 0\) is isometric to the product \((0,\infty) \times N\) which is equipped with the warped product metric \(dr^ 2 + f^ 2(r) d ...
Nicolae Anghel
openalex +2 more sources
Abstract In this paper we initiate the study of six-dimensional non-linear chiral two-form gauge theories as deformations of free chiral two-form gauge theories driven by stress-tensor $$ T\overline{T} $$ T T
Christian Ferko +4 more
openalex +5 more sources
Anomalous dimensions of partially conserved higher-spin currents from conformal field theory: Bosonic
In the free □k scalar conformal field theory, there exist conserved and partially conserved higher-spin currents. We study their anomalous dimensions associated with ϕ2n interaction in the ε expansion. We derive general formulas for the leading corrections from the conformal multiplet recombination, and verify their consistency with crossing symmetry ...
Yongwei Guo, Wenliang Li
openalex +3 more sources
Constraining conformal field theories with a slightly broken higher spin symmetry [PDF]
We consider three dimensional conformal field theories that have a higher spin symmetry that is slightly broken. The theories have a large N limit, in the sense that the operators separate into single trace and multitrace and obey the usual large N ...
Aharony O Gur-Ari G Yacoby R +27 more
core +2 more sources
A roadmap for bootstrapping critical gauge theories: decoupling operators of conformal field theories in $d>2$ dimensions [PDF]
We propose a roadmap for bootstrapping conformal field theories (CFTs) described by gauge theories in dimensions d>2d>2. In particular, we provide a simple and workable answer to the question of how to detect the gauge group in the bootstrap calculation.
Yin-Chen He, J. Rong, Ning Su
semanticscholar +1 more source
Casimir energy and modularity in higher-dimensional conformal field theories [PDF]
An important problem in Quantum Field Theory (QFT) is to understand the structures of observables on spacetime manifolds of nontrivial topology. Such observables arise naturally when studying physical systems at finite temperature and/or finite volume ...
Conghuan Luo, Yifan Wang
semanticscholar +1 more source
On higher-dimensional Carrollian and Galilean conformal field theories [PDF]
In this paper, we study the Carrollian and Galilean conformal field theories (CCFT and GCFT) in d>2d>2 dimensions. We construct the highest weight representations (HWR) of Carrollian and Galilean conformal algebra (CCA and GCA).
Bin Chen, Reiko Liu, Yunqin Zheng
semanticscholar +1 more source
Constructing Carrollian field theories from null reduction [PDF]
In this paper, we propose a novel way to construct off-shell actions of d-dimensional Carrollian field theories by considering the null-reduction of the Bargmann invariant actions in d +1 dimensions.
Bin Chen +3 more
semanticscholar +1 more source
Quantization of interacting Galilean field theories [PDF]
We present the quantum field description of Galilean electrodynamics minimally coupled to massless Galilean fermion in (3 + 1)-dimensions. At classical level, the Lagrangian is obtained as a null reduction of a relativistic theory in one higher dimension.
Kinjal Banerjee, Aditya Sharma
semanticscholar +1 more source

