Theta expansion of first massive vertex operator in pure spinor
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DOI: 10.1007/jhep01(2018)019
Abstract: A bstractWe provide the covariant superspace equations that are sufficient to determine the complete θ expansion of the vertex operator of the open string massive states with (mass)2 = 1/α′ in pure spinor formalism of… read more here.
Keywords: vertex; vertex operator; theta expansion; pure spinor ... See more keywords
Vertex operator algebras, Higgs branches, and modular differential equations
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DOI: 10.1007/jhep08(2018)114
Abstract: A bstractEvery four-dimensional N=2$$ \mathcal{N}=2 $$ superconformal field theory comes equipped with an intricate algebraic invariant, the associated vertex operator algebra. The relationships between this invariant and more conventional protected quantities in the same theories… read more here.
Keywords: vertex operator; operator algebra; modular differential; associated vertex ... See more keywords
Characterizations of the Vertex Operator Algebras VLT${V_{L}^{T}}$ and VLO${V_{L}^{O}}$
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DOI: 10.1007/s10468-016-9644-1
Abstract: In this paper, we give characterizations of the rational vertex operator algebras VLT${V_{L}^{T}}$ and VLO${V_{L}^{O}}$, where L is the root lattice of type A1, T is the tetrahedral group, and O is the octahedral group.… read more here.
Keywords: vlt vlo; vertex operator; algebras vlt; characterizations vertex ... See more keywords
Coset vertex operator algebras and W-algebras of A-type
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DOI: 10.1007/s11425-017-9161-7
Abstract: We give an explicit description for a weight three generator of the coset vertex operator algebra $${C_{{L_{\widehat {s\ln }}}\left( {l,0} \right) \otimes {L_{\widehat {s\ln }}}\left( {1,0} \right)}}\left( {{L_{\widehat {s\ln }}}\left( {l + 1,0} \right)} \right)$$CLsln^(l,0)⊗Lsln^(1,0)(Lsln^(l+1,0)),… read more here.
Keywords: left right; coset vertex; vertex operator; widehat left ... See more keywords
A generalization of intertwining operators for vertex operator algebras
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DOI: 10.1016/j.jalgebra.2017.08.011
Abstract: Abstract For a vertex operator algebra V, we generalize the notion of an intertwining operator among an arbitrary triple of V-modules to an arbitrary triple of N -graded weak V-modules and study their properties. We… read more here.
Keywords: operators vertex; vertex operator; intertwining operators; generalization intertwining ... See more keywords
Hopf actions on vertex operator algebras
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DOI: 10.1016/j.jalgebra.2018.08.012
Abstract: The Hopf actions on vertex operator algebras are investigated. If the action is semisimple, a Schur-Weyl type decomposition is obtained. When the Hopf algebra is finite dimensional and the action is faithful, the action is… read more here.
Keywords: vertex operator; actions vertex; hopf actions; operator algebras ... See more keywords
Module category and C2-cofiniteness of affine vertex operator superalgebras
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DOI: 10.1016/j.jalgebra.2021.12.023
Abstract: In this paper, we investigate the Lie algebra structures of weight one subspaces of C2-cofinite vertex operator superalgebras. We also show that for any positive integer k, vertex operator superalgebras Lsl(1|n+1)(k, 0) and Losp(2|2n)(k, 0)… read more here.
Keywords: vertex operator; operator superalgebras; module category; vertex ... See more keywords
On vertex operator algebras associated to Jordan algebras of Hermitian type
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DOI: 10.1080/00927872.2019.1646267
Abstract: Abstract In this paper, we construct a family of vertex operator algebras parameterized by a non-zero complex number r, whose Griess algebras V2 are isomorphic to Hermitian Jordan algebras of type C and A with… read more here.
Keywords: vertex; operator algebras; vertex operator; jordan algebras ... See more keywords
Classification of irreducible weak modules over Virasoro vertex operator algebras
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DOI: 10.1142/s0129167x1950054x
Abstract: The classification of irreducible weak modules over the Virasoro vertex operator algebra [Formula: see text] is obtained in this paper. As one of the main results, we also classify all irreducible weak modules over the… read more here.
Keywords: virasoro vertex; weak modules; formula see; vertex operator ... See more keywords
C2-Cofiniteness of Cyclic-Orbifold Vertex Operator Superalgebras*
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DOI: 10.1142/s1005386717000190
Abstract: In this paper, it is proved that for any C2-cofinite, simple, CFT-type vertex operator superalgebra V and a finite solvable group G consisting of automorphisms of V, the fixed point subalgebra VG is a C2-cofinite… read more here.
Keywords: cyclic orbifold; vertex operator; cofiniteness cyclic; orbifold vertex ... See more keywords