We replace our earlier condition that physical states of the superstring have non-negative grading by the requirement that they are analytic in a new real commuting constant t which we associate with the central charge of the underlying Kac-Moody superalgebra. The analogy with the twisted N=2 SYM theory suggests that our covariant superstring is a twisted version of another formulation with an ...

We show that the super D-string action is exactly equivalent to the IIB GreenSchwarz superstring action with some ”theta term” in terms of the path integral. Since the ”theta term” imposes the Gauss law constraint on the physical state but contributes to neither the mass operator nor the constraints associated with the kappa symmetry and the reparametrization, this exact equivalence implies tha...

The OPE between the composite $b$ ghost and unintegrated vertex operator for massless states of pure spinor superstring is computed shown to reproduce structure bosonic string result. vanishing double pole singularity Lorentz gauge single be equal corresponding integrated operator.

Given a collection of strings S = fs 1 ; : : :; s n g over an alphabet , a superstring of S is a string containing each s i as a substring; that is, for each i, 1 i n, contains a block of js i j consecutive characters that match s i exactly. The shortest superstring problem is the problem of nding a superstring of minimum length. The shortest superstring problem has applications in both data co...

We show the existence of an infinite set of non-local classically conserved charges on the Green-Schwarz closed superstring in a pp-wave background. We find that these charges agree with the Penrose limit of non-local classically conserved charges recently found for the AdS5 × S Green-Schwarz superstring. The charges constructed in this paper could help to understand the role played by these on...

Recently, a proposal for the full non-abelian open superstring effective action through O(α′3) has been formulated in hep-th/0108169. We test this result by calculating the spectrum in the presence of constant magnetic background fields and by comparing the result to string theoretic predictions. The agreement is perfect. Other proposals for the superstring effective action through this order d...

Very recently, Grushevsky continued D’Hoker and Phong’s program of finding the chiral superstring measure from first principles by constructing modular forms satisfying certain factorization constraints. He has proposed an ansatz in genus 4 and conjectured a possible formula for the superstring measure in any genus, subject to the condition that certain modular forms admit holomorphic roots. In...

We briefly review the covariant formulation of the Green-Schwarz superstring by Berkovits, and describe how a detailed tree-level and one-loop analysis of this model leads, for the first time, to a derivation of the low-energy effective action of the heterotic superstring while keeping target-space supersymmetry manifest. The resulting low-energy theory is old-minimal supergravity coupled to te...

So far we have studied the set covering problem, but not looked at any real life applications. The shortest superstring problem takes as input, several strings of different lengths and finds the shortest string that contains all the input strings as substrings. This is helpful in the genome project since it will allow researchers to determine entire coding regions from a collection of fragmente...

The Hilbert spaces of supersymmetric systems admit symmetries which are often related to the topology and geometry of the (target) field-space. Here, we study certain (2,2)-supersymmetric systems in 2dimensional spacetime which are closely related to superstring models. They all turn out to posess some hitherto unexploidted and geometrically and topologically unobstructed symmetries, providing ...