Results 11 to 20 of about 247 (140)
Open Mathematics, 2018 We prove new theorems related to the construction of the shallow water bi-Hamiltonian systems associated to the semi-direct product of Virasoro and affine Kac–Moody Lie algebras.
Zuevsky A.
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Lie algebras: infinite generalizations and deformations [PDF]
, 1990 There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
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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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Relation between representations of KN and virasoro algebras
Physics Letters B, 1989 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BONORA L, MATONE M, RINALDI, Maurizio
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Some modules over Lie algebras related to the Virasoro algebra
Journal of the Mathematical Society of Japan, 2020 In this paper, the author studied the restricted modules over a class of \(\frac{1}{2}{\mathbb Z}\)-graded Lie algebras \({\mathfrak g}\) related to the Virasoro algebra. A classification of irreducible such modules was given under some conditions. Several equivalent characterizations of these irreducible modules were also provided. Using these modules,
CHEN, Guobo, HAN, Jianzhi, SU, Yucai
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Relating Kac-Moody, Virasoro and Krichever-Novikov algebras [PDF]
Communications in Mathematical Physics, 1988 Affine Lie algebras may be regarded as spaces of Lie-algebra-valued meromorphic functions on \(P^ 1({\mathbb{C}})\) with poles only at 0 and \(\infty\). Similarly, the Virasoro algebra may be regarded as the meromorphic vector fields on \(P^ 1({\mathbb{C}})\) with poles only at 0 and \(\infty\). \textit{I. M. Krichever} and \textit{S. P.
Alberty, José +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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Journal of the London Mathematical Society, Volume 106, Issue 1, Page 154-191, July 2022., 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)=
Miguel Moreira
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Automorphic Lie algebras with dihedral symmetry [PDF]
, 2014 The concept of automorphic Lie algebras arises in the context of reduction groups introduced in the early 1980s in the field of integrable systems.
Sanders, Jan +10 more
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Three-dimensional black holes and descendants
Physics Letters B, 2014 We determine the most general three-dimensional vacuum spacetime with a negative cosmological constant containing a non-singular Killing horizon. We show that the general solution with a spatially compact horizon possesses a second commuting Killing ...
Carmen Li, James Lucietti
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