Results 31 to 40 of about 45,528 (295)
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.
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Light scalars on cosmological backgrounds
Journal of High Energy Physics, 2018 We study the behaviour of a light quartically self-interacting scalar field ϕ on curved backgrounds that may be described with the cosmological equation state parameter w.
Tommi Markkanen
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Bosonization in Higher Dimensions via Noncommutative Field Theory
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.
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Smooth 1-Dimensional Algebraic Quantum Field Theories
, 2022 This paper proposes a refinement of the usual concept of algebraic quantum field theories (AQFTs) to theories that are smooth in the sense that they assign to every smooth family of spacetimes a smooth family of observable algebras.
Benini, Marco +5 more
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Global anomalies in 8d supergravity
Journal of High Energy Physics, 2022 We study gauge and gravitational anomalies of fermions and 2-form fields on eight-dimensional spin manifolds. Possible global gauge anomalies are classified by spin bordism groups Ω 9 spin BG $$ {\varOmega}_9^{\mathrm{spin}}(BG) $$ which we determine by ...
Yasunori Lee, Kazuya Yonekura
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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.
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Odd dimensional nonlocal Liouville conformal field theories
Journal of High Energy Physics, 2022 We construct Euclidean Liouville conformal field theories in odd number of dimensions. The theories are nonlocal and non-unitary with a log-correlated Liouville field, a Q $$ \mathcal{Q} $$ -curvature background, and an exponential Liouville-type ...
Amitay C. Kislev, Tom Levy, Yaron Oz
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Proof of dispersion relations for the amplitude in theories with a compactified space dimension
Journal of High Energy Physics, 2020 The analyticity properties of the scattering amplitude in the nonforward direction are investigated for a field theory in the manifold R 3,1 ⨂ S 1.
Jnanadeva Maharana
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Journal of High Energy Physics, 2023 We focus our attention on the one dimensional scalar theories that result from dimensionally reducing the free scalar field theory in arbitrary d dimensions.
Marina Huerta, Guido van der Velde
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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 ...
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