Results 11 to 20 of about 417,561 (337)
Quasi-characters in $\widehat{su(2)}$ current algebra at fractional levels
SciPost Physics Core, 2023 We study the even characters of $\widehat{su(2)}$ conformal field theories (CFTs) at admissible fractional levels obtained from the difference of the highest weight characters in the unflavoured limit. We show that admissible even character vectors arise
Sachin Grover
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BGG reciprocity for current algebras [PDF]
Compositio Mathematica, 2012 In Bennett et al. [BGG reciprocity for current algebras, Adv. Math. 231 (2012), 276–305] it was conjectured that a BGG-type reciprocity holds for the category of graded representations with finite-dimensional graded components for the current algebra associated to a simple Lie algebra.
Nathan Manning +2 more
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European Physical Journal C: Particles and Fields, 2022 We shed new light on the standard current algebra approach to the nonleptonic two-body decays of single and double heavy charm baryons. By making use of the completeness relation for the flavor wave functions of the ground state baryon $$\mathbf{20 ...
Stefan Groote, Jürgen G. Körner
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Current Algebra and Differential Geometry [PDF]
Journal of High Energy Physics, 2005 14 pages. Dedicated to Ludwig Faddeev on the occasion of his 70th birthday.
Thomas Strobl +2 more
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Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions
Journal of High Energy Physics, 2020 We provide a Lie algebra expansion procedure to construct three-dimensional higher-order Schrödinger algebras which relies on a particular subalgebra of the four-dimensional relativistic conformal algebra.
Oguzhan Kasikci +3 more
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Abelian current algebra and the Virasoro algebra on the lattice [PDF]
Physics Letters B, 1993 We describe how a natural lattice analogue of the abelian current algebra combined with free discrete time dynamics gives rise to the lattice Virasoro algebra and corresponding hierarchy of conservation laws.
A. Yu. Volkov +2 more
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MHV gluon scattering amplitudes from celestial current algebras
Journal of High Energy Physics, 2021 We show that the Mellin transform of an n-point tree level MHV gluon scattering amplitude, also known as the celestial amplitude in pure Yang-Mills theory, satisfies a system of (n−2) linear first order partial differential equations corresponding to (n ...
Shamik Banerjee, Sudip Ghosh
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EQUIVARIANT COHOMOLOGY AND CURRENT ALGEBRAS [PDF]
Confluentes Mathematici, 2012 33 pages; v2-substantially ...
Alekseev Anton, {Š}}evera Pavol
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Currents, charges and algebras in exceptional generalised geometry
Journal of High Energy Physics, 2021 A classical E d(d)-invariant Hamiltonian formulation of world-volume theories of half-BPS p-branes in type IIb and eleven-dimensional supergravity is proposed, extending known results to d ≤ 6. It consists of a Hamiltonian, characterised by a generalised
David Osten
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Communications in Mathematical Physics, 2008 We derive the N-point one-loop correlation functions for the currents of an arbitrary affine Kac-Moody algebra. The one-loop amplitudes, which are elliptic functions defined on the torus Riemann surface, are specified by group invariant tensors and certain constant tau-dependent functions.
Peter Goddard, Louise Dolan
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