Bosonization in Higher Dimensions via Noncommutative Field Theory [PDF]
Physical Review Letters, 2006 We propose the bosonization of a many-body fermion theory in D spatial dimensions through a noncommutative field theory on a (2D-1)-dimensional space. This theory leads to a chiral current algebra over the noncommutative space and reproduces the correct perturbative Hilbert space and excitation energies for the fermions.
Alexios P. Polychronakos
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Symmetry resolved entanglement of excited states in quantum field theory. Part II. Numerics, interacting theories and higher dimensions [PDF]
Journal of High Energy Physics, 2022 Abstract In a recent paper we studied the entanglement content of zero-density excited states in complex free quantum field theories, focusing on the symmetry resolved entanglement entropy (SREE). By zero-density states we mean states consisting of a fixed, finite number of excitations above the ground state in an infinite-volume ...
Luca Capizzi +4 more
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Quantum revivals in conformal field theories in higher dimensions [PDF]
Journal of Physics A: Mathematical and Theoretical, 2016 19 pages, 14 figures.
John Cardy
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Constraining conformal field theories with a higher spin symmetry in d > 3 dimensions [PDF]
Journal of High Energy Physics, 2016 We study unitary conformal field theories with a unique stress tensor and at least one higher-spin conserved current in d>3 dimensions. We prove that every such theory contains an infinite number of higher-spin conserved currents of arbitrarily high spin, and that Ward identities generated by the conserved charges of these currents imply that the ...
Vasyl Alba, Kenan Diab
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Vertex Algebras in Higher Dimensions and Globally Conformal Invariant Quantum Field Theory [PDF]
Communications in Mathematical Physics, 2004 We propose an extension of the definition of vertex algebras in arbitrary space-time dimensions together with their basic structure theory. An one-to-one correspondence between these vertex algebras and axiomatic quantum field theory (QFT) with global conformal invariance (GCI) is constructed.
Nikolay Nikolov
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Constraining conformal field theory with higher spin symmetry in four dimensions [PDF]
Nuclear Physics B, 2013 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 dimensions. In particular, we show that all these correlation functions will have at most double pole singularities.
Yassen S. Stanev
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Quantum field theory from a quantum cellular automaton in one spatial dimension and a no-go theorem in higher dimensions [PDF]
Physical Review A, 2020 It has been shown that certain quantum walks give rise to relativistic wave equations, such as the Dirac and Weyl equations, in their long-wavelength limits. This intriguing result raises the question of whether something similar can happen in the multi-particle case.
Leonard Mlodinow, Todd A. Brun
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Interacting Chiral Form Field Theories and $T\overline T$-like Flows in Six and Higher Dimensions [PDF]
Journal of High Energy PhysicsAbstract 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
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SUSY field theories in higher dimensions and integrable spin chains [PDF]
Nuclear Physics B, 1998 Five and six dimensional SUSY gauge theories, with one or two compactified directions, are discussed. The 5d theories with the matter hypermultiplets in the fundamental representation are associated with the twisted $XXZ$ spin chain, while the group product case with the bi-fundamental matter corresponds to the higher rank spin chains.
A. Gorsky, G. Sukov, А. Миронов
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Index Theory for Short-Ranged Fields in Higher Dimensions
Journal of Functional Analysis, 1994 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
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