TY - JOUR

T1 - Orbifold Construction of Holomorphic Vertex Operator Algebras Associated to Inner Automorphisms

AU - Lam, Ching Hung

AU - Shimakura, Hiroki

N1 - Funding Information:
C. H. Lam was partially supported by NSC Grant 100-2628-M-001005-MY4 of Taiwan. H. Shimakura was partially supported by JSPS KAKENHI Grant Numbers 23540013 and 26800001, and by Grant for Basic Science Research Projects from The Sumitomo Foundation.
Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.

PY - 2016/3/1

Y1 - 2016/3/1

N2 - In this article, we construct three new holomorphic vertex operator algebras of central charge 24 using the (Formula presented.) -orbifold construction associated to inner automorphisms. Their weight one subspaces have the Lie algebra structures D7,3A3,1G2,1, E7,3A5,1, and (Formula presented.). In addition, we discuss the constructions of holomorphic vertex operator algebras with Lie algebras A5,6C2,3A1,2 and (Formula presented.) from holomorphic vertex operator algebras with Lie algebras C5,3G2,2A1,1 and (Formula presented.) , respectively.

AB - In this article, we construct three new holomorphic vertex operator algebras of central charge 24 using the (Formula presented.) -orbifold construction associated to inner automorphisms. Their weight one subspaces have the Lie algebra structures D7,3A3,1G2,1, E7,3A5,1, and (Formula presented.). In addition, we discuss the constructions of holomorphic vertex operator algebras with Lie algebras A5,6C2,3A1,2 and (Formula presented.) from holomorphic vertex operator algebras with Lie algebras C5,3G2,2A1,1 and (Formula presented.) , respectively.

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U2 - 10.1007/s00220-015-2484-8

DO - 10.1007/s00220-015-2484-8

M3 - Article

AN - SCOPUS:84959468880

VL - 342

SP - 803

EP - 841

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -