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The survey contains a brief description of the ideas, constructions, results, and prospects of the theory of hypergroups and generalized translation operators. Representations of hypergroups are considered, being treated as continuous…

Representation Theory · Mathematics 2011-09-30 Grigory L. Litvinov

General structure of the multivariate plain and q-hypergeometric terms and univariate elliptic hypergeometric terms is described. Some explicit examples of the totally elliptic hypergeometric terms leading to multidimensional integrals on…

Classical Analysis and ODEs · Mathematics 2014-07-01 V. P. Spiridonov

This is a brief account of the approach to superbranes based upon the concept of Partial Breaking of Global Supersymmetry (PBGS).

High Energy Physics - Theory · Physics 2016-11-23 E. Ivanov

A number of topics involving metrics and measures are discussed, including some of the special structure associated with ultrametrics.

Classical Analysis and ODEs · Mathematics 2013-06-12 Stephen Semmes

We perform canonical quantization of the open Neveu-Schwarz-Ramond (NSR) superstrings in the background of a D-brane with the NS B-field. If we choose the mixed boundary condition as a primary constraint, it generates a set of secondary…

High Energy Physics - Theory · Physics 2009-10-31 Taejin Lee

The mathematically rigorous definition and construction of the amplitudes in superstring theory is still an open problem. Here, we describe some recent development in the construction of the superstring measures in $g=3,4$ and we point out…

High Energy Physics - Theory · Physics 2009-12-03 Francesco Dalla Piazza

A brief review of the motivation and the present status of Fractional Superstring is presented. Talk at ``Strings 93'', Berkeley, May 1993.

High Energy Physics - Theory · Physics 2007-05-23 S. -H. H. Tye

In these lectures I describe some of the open questions in the standard model relating to the nature and origin of mass, forces and matter and discuss some of the speculative theoretical ideas put forth in this regard. Some of the topics…

High Energy Physics - Phenomenology · Physics 2007-05-23 Roberto Peccei

We briefly cover the early history of supersymmetry, describe the relation of SUSY quantum field theories to superstring theories and explain why they are considered a likely tool to describe the phenomenology of high energy particle theory…

High Energy Physics - Theory · Physics 2009-02-18 Mary K. Gaillard , Bruno Zumino

This is a revision of the paper archived previously on August 22, 2002. It corrects a mistake in Sec. 8 concerning eccentricities of graphs. From any given sequence of finite or infinite graphs, a nonstandard graph is constructed. The…

Combinatorics · Mathematics 2007-05-23 A. H. Zemanian

A novel notion of unpredictable strings is revealed and utilized to define deterministic unpredictable sequences on a finite number of symbols. We prove the first law of large strings for random processes in discrete time, which confirms…

Dynamical Systems · Mathematics 2020-07-03 Marat Akhmet , Astrit Tola

The interpretation of closed fundamental strings as solitons in open string field theory is reviewed. Noncommutativity is introduced to facilitate an explicit construction. The tension is computed exactly and the correct spectrum is…

High Energy Physics - Theory · Physics 2015-06-25 Finn Larsen

We study the coupling of the closed string to the open string in the topological B-model. These couplings can be viewed as gauge invariant observables in the open string field theory, or as deformations of the differential graded algebra…

High Energy Physics - Theory · Physics 2014-11-18 Christiaan Hofman

In this paper we study the superstring version of the exactly solvable string model constructed by Russo and Tseytlin. This model represents superstring theory in a curved spacetime and can be seen as a generalization of the Melvin…

High Energy Physics - Theory · Physics 2009-11-07 Hiromitsu Takayanagi , Tadashi Takayanagi

We derive compact expressions for one-loop scattering amplitudes of four open-string vector bosons around supersymmetric configurations with intersecting or magnetized D-branes on toroidal orbifolds. We check the validity of our formulae…

High Energy Physics - Theory · Physics 2009-11-11 Massimo Bianchi , Alessio V. Santini

We investigate unoriented strings and superstrings in two dimensions and their dual matrix quantum mechanics. Most of the models we study have a tachyon tadpole coming from the RP^2 worldsheet which needs to be cancelled by a…

High Energy Physics - Theory · Physics 2009-11-10 Jaume Gomis , Anton Kapustin

We discuss supersymmetry breakdown in effective supergravities such as emerge in the low-energy limit of superstring theory. Without specifying the precise trigger of the breakdown, we analyse the soft parameters in the Lagrangian of the…

High Energy Physics - Theory · Physics 2010-02-18 Vadim Kaplunovsky , Jan Louis

We review definitions and basic properties of operads, PROPs and algebras over these structures.

Algebraic Topology · Mathematics 2007-05-23 Martin Markl

Including {\it world-sheet orientation-reversing automorphisms} $\hat{h}_{\sigma} \in H_-$ in the orbifold program, we construct the operator algebras and twisted KZ systems of the general WZW {\it orientation orbifold} $A_g (H_-) /H_-$. We…

High Energy Physics - Theory · Physics 2014-11-18 M. B. Halpern , C. Helfgott

Using the manifestly spacetime supersymmetric description of the four-dimensional open superstring, we construct the vertex operator in superspace for the first massive state. This construction provides an N=1 D=4 superspace representation…

High Energy Physics - Theory · Physics 2009-10-30 N. Berkovits , M. M. Leite
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