リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。

リケラボ 全国の大学リポジトリにある学位論文・教授論文を一括検索するならリケラボ論文検索大学・研究所にある論文を検索できる

リケラボ 全国の大学リポジトリにある学位論文・教授論文を一括検索するならリケラボ論文検索大学・研究所にある論文を検索できる

大学・研究所にある論文を検索できる 「FUSION RULES AMONG θ-TWISTED MODULES FOR LATTICE VERTEX OPERATOR ALGEBRAS V_L」の論文概要。リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。

コピーが完了しました

URLをコピーしました

論文の公開元へ論文の公開元へ
書き出し

FUSION RULES AMONG θ-TWISTED MODULES FOR LATTICE VERTEX OPERATOR ALGEBRAS V_L

Nguyen, Danquynh 大阪大学 DOI:10.18910/86341

2022.01

概要

Let L be a positive-definite, even, integral lattice and θ an automorphism of a central extension of L. In this paper, we study the lattice vertex operator algebra V_L associated with L and its θ- twisted modules. We also discuss the fusion products of V_L-modules and completely determine the fusion rules among them.

参考文献

[1] T. Abe: Fusion Rules for the Free Bosonic Orbifold Vertex Operator Algebra, J. Algebra, 229 (2000), 333–374.

[2] T. Abe: Fusion Rules for the Charge Conjugation Orbifold, J. Algebra, 242 (2001), 624–655.

[3] T. Abe, C. Dong and H-S. Li: Fusion Rules for the Vertex Operator Algebras M(1)+ and V+, Comm. Math. Phys. 253 (2005), 171–219.

[4] R. Borcherds: Vertex Algebras, Kac-Moody Algebras, and the Monster, Proc. Nal. Acad. Sci., USA 83 (1986), 3068–3071.

[5] R. Blumenhagen and E. Plauschinn: Introduction to Conformal Field Theory, Lecture Notes in Physics 779, Springer, Dordrecht, 2009.

[6] C. Dong: Vertex Algebras Associated with Even Lattices, J. Algebra, 160 (1993), 245–265.

[7] C. Dong: Twisted Modules for Vertex Algebras Associated with Even Lattices, J. Algebra, 165 (1994), 91–112.

[8] C. Dong, X. Jiao and F. Xu: Quantum Dimensions and Quantum Galois Theory, Trans. Amer. Math. Soc. 365 (2013), 6441–6469.

[9] C. Dong and J. Lepowsky: Generalized Vertex Algebras and Relative Vertex Operators, Progress in Math. 112, Birkha¨user, Boston, 1993.

[10] C. Dong, H. Li and G. Mason: Twisted Representations of Vertex Operator Algebras, Math. Ann. 310 (1998), 571–600.

[11] C. Dong and K. Nagatomo: Classification of Irreducible Modules for the Vertex Operator Algebras M(1)+, J. Algebra, 216 (1999), 384–404.

[12] C. Dong and K. Nagatomo: Representations of Vertex Operator Algebras V+ for Rank One Lattice L, Comm. Math. Phys. 202 (1999), 169–195.

[13] I. Frenkel, Y. Huang and J. Lepowsky: On Axiomatic Approaches to Vertex Operator Algebras and Mod- ules, Mem. Amer. Math. Soc. 104 (1993), no. 494.

[14] I. Frenkel, J. Lepowsky and A. Meurman: Vertex Operator Algebras and the Monster, Pure and Appl. Math 134, Academic Press, Boston, 1988.

[15] T. Gannon: Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics, Cambridge Monographs on Mathematical Phycics, Cambridge University Press, Cambridge, 2006.

[16] Y. Huang: Intertwining Operators among Twisted Modules Associated to Not-Necessarily-Commuting Au- tomorphisms, J. Algebra, 493 (2018), 346–380.

[17] Y. Huang and J. Lepowsky: A Theory of Tensor Products for Module Categories for a Vertex Operator Algebra, I, Selecta Math. (N.S.) 1 (1995) 699–756.

[18] K. Iohara and Y. Koga: Representation Theory of the Virasoro Algebra, Springer Monographs in Mathe- matics, Springer-Verlag, London Ltd, London, 2011.

[19] H. Li: Representation Theory and Tensor Product Theory for Modules for a Vertex Operator Algebra, Ph.D Thesis, Rutgers University, 1994.

[20] J. Lepowsky and H. Li: Introduction to Vertex Operator Algebras and Their Representations, Progress in Math. 227, Birkhuauser, Boston, 2003.

参考文献をもっと見る

全国の大学の
卒論・修論・学位論文

一発検索!

この論文の関連論文を見る