All the BRST-invariant operators in pure spinor formalism in d = 10 can be represented as BRST commutators, such as V = {Qbrst, θ+ λ+ V } where λ+ is the U(5) component of the pure spinor transforming as 1 5 2 . Therefore, in order to secure non-triviality of BRST cohomology in pure spinor string theory, one has to introduce “small Hilbert space” and “small operator algebra” for pure spinors, a...

Charles H. Bennett, Sandu Popescu, Daniel Rohrlich, John A. Smolin, and Ashish V. Thapliyal IBM Research Division, Yorktown Heights, NY 10598, USA — bennetc, [email protected] Isaac Newton Institute, Cambridge University, Cambridge, UK and BRIMS, Hewlett-Packard Labs., Stoke Gifford, Bristol BS12 6QZ, UK — [email protected] School of Physics and Astronomy,Tel Aviv University, Tel Aviv,...

We apply exact WKB methods to the study of the partition function of pure N = 2 i-deformed gauge theory in four dimensions in the context of the 2d/4d correspondence. We study the partition function at leading order in 2/ 1 (i.e. at large central charge) and in an expansion in 1. We find corrections of the form ∼ exp[− periods 1 ] to this expansion. We attribute these to the exchange of the ord...

j,k and aligned at an angle of 2⇡k 2j radians. Like other parabolic systems, such as curvelets and shearlets, these wavepackets are particularly useful in geophysics (see for example [7]). In this paper, we consider expansions and approximate expansions of L2(R2) functions in terms of these packets using Gaussian windows. As with Morlet’s wavelets, one can circumvent the problem of the lack of ...

We use a dual Einstein-Kaluza spacetime to calculate the exact energy density of dark energy and dark matter using a novel topological computation method. Starting from the said spacetime and ‘tHooft’s topological renormalon as well as the corresponding symmetry group, we show how the zero set quantum particle and the empty set quantum wave interact with the vacuum and give rise to pure dark en...

The phase diagram of unzipping of an adsorbed directed polymer in two dimensions in a random medium has been determined. Both the hard-wall and the soft-wall cases are considered. Exact solutions for the pure problem with different affinities on the two sides are given. The results obtained by the numerical procedure adopted here are shown to agree with the exact results for the pure case. The ...

We present a comprehensive theory of large non-anonymous games in which agents have a name and a determinate social-type and/or biological trait to resolve the dissonance of a (matching-pennies type) game with an exact pure-strategy Nash equilibrium with finite agents, but without one when modeled on the Lebesgue unit interval. We (i) establish saturated player spaces as both necessary and suff...

The exact FZZT brane partition function for topological gravity with matter is computed using the dual two-matrix model. We show how the effective theory of open strings on a stack of FZZT branes is described by the generalized Kontsevich matrix integral, extending the earlier result for pure topological gravity. Using the well-known relation between the Kontsevich integral and a certain shift ...