86 citations · 478 across the 67 of their papers we have counts for
6 papers · 1 filter
Non-split superstrings of dimension
Dimitry Leites, Alexander S. Tikhomirov
Any supermanifold diffeomorphic to one whose structure sheaf is the sheaf of sections of a~vector bundle over the underlying manifold is called split. Gawȩdzki (1977) and Batchelor…
An unconventional supergravity
Dimitry Leites, Pavel Grozman
We introduce and completely describe the analogues of the Riemann curvature tensor for the curved supergrassmannian of the passing through the origin (0|2)-dimensional subsupermani…
How to superize Liouville equation
Dimitry Leites
So far, there are described in the literature two ways to superize the Liouville equation: for a scalar field (for ) and for a vector-valued field (analogs of the Leznov--…
Supersymmetry of the Schroedinger and Korteweg-de Vries operators
Dimitry Leites, Xuan Peiqi
In 70's A.A. Kirillov interpreted the stationary Schroedinger (Sturm-Liouville) operator as an element of the dual space to the Virasoro algebra, i.e., the nontrivial central exten…
Lie superalgebras of string theories
Pavel Grozman, Dimitry Leites, Irina Shchepochkina
We define and describe simple complex Lie superalgbras of vector fields on "supercircles" - simple stringy superalgebras. There are four series of such algebras and four exceptiona…
Defining Relations for Lie Superalgebras with Cartan matrix
Pavel Grozman, Dimitry Leites
We completely describe presentations of Lie superalgebras with Cartan matrix if they are simple Z-graded of polynomial growth. Such matrices can be neither integer nor symmetrizabl…