Lattice vertex algebras on general even, self-dual lattices
نویسندگان
چکیده
منابع مشابه
Lattice vertex algebras on general even, self-dual lattices
In this note we analyse the Lie algebras of physical states stemming from lattice constructions on general even, self-dual lattices Γ with p ≥ q. It is known that if the lattice is of rank ≤ 26 and at most Lorentzian, the resulting Lie algebra is of generalized Kac-Moody type (or has a quotient that is). We show that this is not true as soon as q > 1. By studying a certain sublattice in the cas...
متن کاملOn vertex algebras and their modules associated with even lattices
We study vertex algebras and their modules associated with possibly degenerate even lattices, using an approach somewhat different from others. Several known results are recovered and a number of new results are obtained. We also study modules for Heisenberg algebras and we classify irreducible modules satisfying certain conditions and obtain a complete reducibility theorem.
متن کاملLattice vertex algebras and combinatorial bases: general case and W-algebras
We introduce what we call the principal subalgebra of a lattice vertex (super) algebra associated to an arbitrary Z-basis of the lattice. In the first part (to appear), the second author considered the case of positive bases and found a description of the principal subalgebra in terms of generators and relations. Here, in the most general case, we obtain a combinatorial basis of the principal s...
متن کاملOn self-dual doubly-even extremal codes
Let C be a binary linear self-dual doubly-even code of length n and minimal weight d. Such codes exist only if 12 = 0 (mod 8). We put II = 24r + 8s, s = 0, 1, 2. It follows from the work of Gleason [2] and of Mallows and Sloane [6] that d s 4r + 4. C is called extremal if d = 4r + 4. In the following, an extremal code means a binary linear self-dual doubly-even extremal code. We use the set-the...
متن کاملTwisted Modules over Lattice Vertex Algebras
A vertex algebra is essentially the same as a chiral algebra in conformal field theory [2, 10]. Vertex algebras arose naturally in the representation theory of infinite-dimensional Lie algebras and in the construction of the “moonshine module” for the Monster finite simple group [3, 9]. If V is a vertex algebra and Γ is a finite group of automorphisms of V , the subalgebra V Γ of Γ-invariant el...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2003
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2003/07/069