The Bol operators are unary differential between spaces of weighted densities on the 1-dimensional manifold invariant under projective transformations manifold. On [Formula: see text]-dimensional supermanifold (superstring) text], we classify analogs simple maximal subalgebra text] same rank as its ambient superalgebra vector fields and containing all elements negative degree in a text]-grading...

S and U-duality dictate that graviton scattering amplitudes in IIB superstring theory be automorphic functions on the appropriate fundamental domain which describe the inequiv-alent vacua of (compactified) theories. A constrained functional form of graviton scattering is proposed using Eisenstein series and their generalizations compatible with: a) two-loop supergravity, b) genus one supersting...

We show that N = 8 self-dual supergravity theory, which is the consistent background for N = 2 closed superstring theory in 2 + 2-dimensions, can accommodate the recently discovered two-dimensional dilaton gravity black hole solution, via appropriate dimensional reductions and truncations. Interestingly, the usual dilaton field in this set of solutions emerges from the scalar field in the 70-di...

We construct the thermal boundary states from the type IIB Green-Schwarz superstring in pp-wave background in the light-cone gauge. The superstring is treated in the canonical ensemble and in the TFD formalism which is appropriate to discuss canonically quantized systems. The thermal boundary states are obtained by thermalizing the total boundary states which are the boundary states of the tota...

Merging words according to their overlap yields a superstring. This basic operation allows to infer long strings from a collection of short pieces, as in genome assembly. To capture a maximum of overlaps, the goal is to infer the shortest superstring of a set of input words. The Shortest Cyclic Cover of Strings (SCCS) problem asks, instead of a single linear superstring, for a set of cyclic str...