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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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Virasoro conjecture for the stable pairs descendent theory of simply connected 3-folds (with applications to the Hilbert scheme of points of a surface). [PDF]
J Lond Math Soc, 2022 Abstract This paper concerns the recent Virasoro conjecture for the theory of stable pairs on a 3‐fold proposed by Oblomkov, Okounkov, Pandharipande, and the author. Here we extend the conjecture to 3‐folds with non‐(p,p)$(p,p)$‐cohomology and we prove it in two specializations. For the first specialization, we let S$S$ be a surface with H1(S)=0$H^1(S)=
Moreira M.
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2-Local Derivations on the Twisted Heisenberg–Virasoro Algebra
Advances in Mathematical Physics2-local derivation is a generalized derivation for a Lie algebra, which plays an important role to the study of local properties of the structure of the Lie algebra.
Yufang Zhao, Yongsheng Cheng
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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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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 the BPS Sector in AdS3/CFT2 Holography
Fortschritte der Physik, Volume 71, Issue 4-5, May 2023., 2023 Abstract The BPS sector in AdS3/CFT2$AdS_3/CFT_2$ duality has been fertile ground for the exploration of gauge/gravity duality, from the match between black hole entropy and the CFT elliptic genus to the construction of large families of geometrical microstates and the identification of the corresponding states in the CFT.
Emil J. Martinec +2 more
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Codes, vertex operators and topological modular forms
Bulletin of the London Mathematical Society, Volume 54, Issue 4, Page 1167-1196, August 2022., 2022 Abstract We describe a new link between the theory of topological modular forms and representations of vertex operator algebras obtained by certain lattices. The construction is motivated by the arithmetic Whitehead tower of the orthogonal groups. The tower discloses the role of codes in representation theory.
Nora Ganter, Gerd Laures
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