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Lie Bialgebras on the Rank Two Heisenberg–Virasoro Algebra
Mathematics, 2023 The rank two Heisenberg–Virasoro algebra can be viewed as a generalization of the twisted Heisenberg–Virasoro algebra. Lie bialgebras play an important role in searching for solutions of quantum Yang–Baxter equations.
Yihong Su, Xue Chen
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Fractional Virasoro algebras [PDF]
Advances in Theoretical and Mathematical Physics, 2019 We show that it is possible to construct a Virasoro algebra as a central extension of the fractional Witt algebra generated by non-local operators of the form, $L_n^a\equiv\left(\frac{\partial f}{\partial z}\right)^a$ where $a\in {\mathbb R}$. The Virasoro algebra is explicitly of the form, \beq [L^a_m,L_n^a]=A_{m,n}L^a_{m+n}+ _{m,n}h(n)cZ^a \eeq ...
La Nave, Gabriele, Phillips, Philip
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q-Virasoro algebra and vertex algebras [PDF]
Journal of Pure and Applied Algebra, 2015 In this paper, we study a certain deformation $D$ of the Virasoro algebra that was introduced and called $q$-Virasoro algebra by Nigro,in the context of vertex algebras. Among the main results, we prove that for any complex number $\ell$, the category of restricted $D$-modules of level $\ell$ is canonically isomorphic to the category of quasi modules ...
Guo, Hongyan +3 more
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An excursion into the string spectrum
Journal of High Energy Physics, 2023 We propose a covariant technique to excavate physical bosonic string states by entire trajectories rather than individually. The approach is based on Howe duality: the string’s spacetime Lorentz algebra commutes with a certain inductive limit of sp ...
Chrysoula Markou, Evgeny Skvortsov
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(Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
Journal of High Energy Physics, 2022 In this paper we continue our study of the tree level MHV graviton scattering amplitudes from the point of view of celestial holography. In arXiv:2008.04330 we showed that the celestial OPE of two gravitons in the MHV sector can be written as a linear ...
Shamik Banerjee +2 more
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Disretization of Virasoro algebra [PDF]
Physics Letters B, 1993 A $q$-discretization of \vi\ algebra is studied which reduces to the ordinary \vi\ algebra in the limit of $q \ra 1$. This is derived starting from the Moyal bracket algebra, hence is a kind of quantum deformation different from the quantum groups. Representation of this new algebra by using $q$-parametrized free fields is also given.
Kemmoku, Ryuji, Saito, Satoru
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Correlators in the supereigenvalue model in the Ramond sector
Physics Letters B, 2020 We investigate the supereigenvalue model in the Ramond sector. We prove that its partition function can be obtained by acting on elementary functions with exponents of the given operators.
Ying Chen +3 more
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W-representations of the fermionic matrix and Aristotelian tensor models
Nuclear Physics B, 2021 We show that the fermionic matrix model can be realized by W-representation. We construct the Virasoro constraints with higher algebraic structures, where the constraint operators obey the Witt algebra and null 3-algebra.
Lu-Yao Wang +3 more
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Staggered and affine Kac modules over A1(1)
Nuclear Physics B, 2020 This work concerns the representation theory of the affine Lie algebra A1(1) at fractional level and its links to the representation theory of the Virasoro algebra.
Jørgen Rasmussen
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On q-deformed infinite-dimensional n-algebra
Nuclear Physics B, 2016 The q-deformation of the infinite-dimensional n-algebras is investigated. Based on the structure of the q-deformed Virasoro–Witt algebra, we derive a nontrivial q-deformed Virasoro–Witt n-algebra which is nothing but a sh-n-Lie algebra.
Lu Ding +4 more
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