A bstract We investigate the gauging of a\({\mathbb {Z}} _ {2}\) symmetry in Narain conformal
field theories (CFTs) constructed from qudit stabilizer codes. Considering both orbifold and …

A bstract We consider chiral fermionic conformal field theories constructed from classical
error-correcting codes and provide a systematic way of computing their elliptic genera. We …

All results concern characteristic 2. We describe two procedures; each of which to every
simple Lie algebra assigns a simple Lie superalgebra. We prove that every simple finite …

In this paper, we present a method of symplectic double extensions for restricted quasi-
Frobenius Lie superalgebras. Certain cocycles in the restricted cohomology represent …

A Lie (super) algebra with a nondegenerate invariant symmetric bilinear form B is called a
nis-(super) algebra. The double extension g of a nis-(super) algebra a is the result of …

1) In 1976, looking at simple finite-dimensional complex Lie superalgebras, J.~ Bernstein
and I, and independently M.~ Duflo, observed that certain divergence-free vectorial Lie …

A Lie (super) algebra with a non-degenerate invariant symmetric bilinear form will be called
a NIS-Lie (super) algebra. The double extension of a NIS-Lie (super) algebra is the result of …

As is well-known, the dimension of the space spanned by the non-degenerate invariant
symmetric bilinear forms (NISes) on any simple finite-dimensional Lie algebra or Lie …

Abstract A double extension (D D-extension) of a Lie (super) algebra aa with a non-
degenerate invariant symmetric bilinear form BB, briefly, a NIS-(super) algebra, is an …

Over algebraically closed fields of positive characteristic, for simple Lie (super) algebras,
and certain Lie (super) algebras close to simple ones, with symmetric root systems (such …