70 citations · 432 across the 60 of their papers we have counts for
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Vertex algebras related to regular representations of
Drazen Adamovic, Antun Milas
We construct a family of potentially quasi-lisse (non-rational) vertex algebras, denoted by , , which are closely related to the vertex algebra of chiral d…
-Permutation Orbifolds of Virasoro Vertex Algebras
Antun Milas, Michael Penn, Christopher Sadowski
In this paper, a continuation of \cite{MPS}, we investigate the -orbifold subalgebra of , that is, we consider the -fixed point vertex subalg…
Generalized -MZVs and Characters of Vertex Algebras
Antun Milas
We analyze three related families of -series arising from characters of vertex (super)algebras. More precisely, we consider: (i) graph series and characters of principal subspac…
Jet Schemes, Quantum Dilogarithm and Feigin-Stoyanovsky's Principal Subspaces
Hao Li, Antun Milas
We analyze the structure of Feigin-Stoyanovsky's principal subspaces of affine Lie algebra from the jet algebra viewpoint. For type level one principal subspaces, we show that…
Permutation orbifolds of Virasoro vertex algebras and -algebras
Antun Milas, Michael Penn, Christopher Sadowski
We study permutation orbifolds of the -fold and -fold tensor product for the Virasoro vertex algebra of central charge . In particular, we show that for al…
On parafermion vertex algebras of and
Drazen Adamovic, Antun Milas, Qing Wang
We study parafermion vertex algebras and . Using the isomorphism between and the logarithmic vertex algebr…
Quantum modular forms and plumbing graphs of 3-manifolds
Kathrin Bringmann, Karl Mahlburg, Antun Milas
In this paper, we study quantum modular forms in connection to quantum invariants of plumbed 3-manifolds introduced recently by Gukov, Pei, Putrov, and Vafa. We explicitly compute…
On some vertex algebras related to and their characters
Drazen Adamovic, Antun Milas
We consider several vertex operator (super)algebras closely related to , : (a) the parafermionic subalgebra for which we comp…
Permutation Orbifolds of the Heisenberg Vertex Algebra
Antun Milas, Michael Penn, Hanbo Shao
We study the -orbifold of a rank three Heisenberg vertex algebras in terms of generators and relations. By using invariant theory we prove that the orbifold algebra has a mini…
Higher rank partial and false theta functions and representation theory
Thomas Creutzig, Antun Milas
We study higher rank Jacobi partial and false theta functions (generalizations of the classical partial and false theta functions) associated to positive definite rational lattices…
Logarithmic Link Invariants of and Asymptotic Dimensions of Singlet Vertex Algebras
Thomas Creutzig, Antun Milas, Matt Rupert
We study relationships between the restricted unrolled quantum group at -th root of unity , and the singlet vertex ope…
Some applications and constructions of intertwining operators in LCFT
Drazen Adamovic, Antun Milas
We discuss some applications of fusion rules and intertwining operators in the representation theory of cyclic orbifolds of the triplet vertex operator algebra. We prove that the c…
Vertex Algebras and and Constant Term Identities
Drazen Adamovic, Xianzu Lin, Antun Milas
We consider -type orbifolds of the triplet vertex algebras extending the well-known orbifolds of lattice vertex algebras. We study the structure of Zhu's…
On Regularised Quantum Dimensions of the Singlet Vertex Operator Algebra and False Theta Functions
Thomas Creutzig, Antun Milas, Simon Wood
We study a family of non-C2-cofinite vertex operator algebras, called the singlet vertex operator algebras, and connect several important concepts in the theory of vertex operator…
Vertex-algebraic structure of principal subspaces of standard A_2^{(2)}-modules, I
Corina Calinescu, James Lepowsky, Antun Milas
Extending earlier work of the authors, this is the first in a series of papers devoted to the vertex-algebraic structure of principal subspaces of standard modules for twisted affi…
False Theta Functions and the Verlinde formula
Thomas Creutzig, Antun Milas
We discover new analytic properties of classical partial and false theta functions and their potential applications to representation theory of W-algebras and vertex algebras in ge…
ADE subalgebras of the triplet vertex algebra W(p): D_m-series
Drazen Adamovic, Xianzu Lin, Antun Milas
We are continuing our study of ADE-orbifold subalgebras of the triplet vertex algebra W(p). This part deals with the dihedral series. First, subject to a certain constant term iden…
C_2-cofinite W-algebras and their logarithmic representations
Drazen Adamovic, Antun Milas
We discuss our recent results on the representation theory of --algebras relevant to Logarithmic Conformal Field Theory. First we explain some general constructions of…
The 3-state Potts model and Rogers-Ramanujan series
Alex Feingold, Antun Milas
We explain the appearance of Rogers-Ramanujan series inside the tensor product of two basic -modules, previously discovered by the first author in [F]. The key new ingre…
ADE subalgebras of the triplet vertex algebra W(p): A-series
Drazen Adamovic, Xianzu Lin, Antun Milas
Motivated by \cite{am1}, for every finite subgroup we investigate the fixed point subalgebra $\triplet^Γ$ of the triplet vertex , of c…
An explicit realization of logarithmic modules for the vertex operator algebra W_{p,p'}
Drazen Adamovic, Antun Milas
By extending the methods used in our earlier work, in this paper, we present an explicit realization of logarithmic $\mathcal{W}_{p,p'$}-modules that have L(0) nilpotent rank three…
The structure of Zhu's algebras for certain W-algebras
Drazen Adamovic, Antun Milas
We introduce a new approach that allows us to determine the structure of Zhu's algebra for certain vertex operator (super)algebras which admit horizontal -grading. By…
Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types A,D,E
Corina Calinescu, James Lepowsky, Antun Milas
Generalizing some of our earlier work, we prove natural presentations of the principal subspaces of the level one standard modules for the untwisted affine Lie algebras of types A,…
On W-algebras associated to (2,p) minimal models and their representations
Drazen Adamovic, Antun Milas
For every odd p \geq 3, we investigate representation theory of the vertex algebra WW_{2,p} associated to (2,p) minimal models for the Virasoro algebras. We demonstrate that vertex…