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In this paper we show how the hyperstructure concept leads to new algebraic structures and general field theories.

General Mathematics · Mathematics 2025-12-16 Nils A. Baas

Recent years have seen noteworthy progress in the mathematical formulation of quantum field theory and perturbative string theory. We give a brief survey of these developments. It serves as an introduction to the more detailed collection…

Mathematical Physics · Physics 2012-01-09 Hisham Sati , Urs Schreiber

In this paper we constructed new q-extension of Bernstein polynomials. Fron those q-Berstein polynomials, we give some interesting properties and we investigate some applications related this q-Bernstein polynomials.

Number Theory · Mathematics 2015-05-19 Taekyun Kim

We construct exact classical solutions in cubic open string field theory. By the redefinition of the string field, we find that the solutions correspond to finite deformations of the Wilson lines. The solutions have well-defined Fock space…

High Energy Physics - Theory · Physics 2009-11-07 Tomohiko Takahashi , Seriko Tanimoto

We construct the most general solution in type-II string theory that represents N coincident non-extremal rotating NS5-branes and determine the relevant thermodynamic quantities. We show that in the field theory limit, it has an exact…

High Energy Physics - Theory · Physics 2015-06-26 Konstadinos Sfetsos

Over a large class of function fields, we show that the solutions of some linear equations in the topological closure of a certain subgroup of the group of units in the function field are exactly the solutions that are already in the…

Number Theory · Mathematics 2012-04-20 Chia-Liang Sun

We develop a theory of extensions of hyperfields that generalizes the notion of field extensions. Since hyperfields have a multivalued addition, we must consider two kinds of extensions that we call weak hyperfield extensions and strong…

Rings and Algebras · Mathematics 2019-12-13 Steven Creech

We present a class of analytic solutions of cubic superstring field theory in the universal sector on a non-BPS D-brane. Computation of the action and gauge invariant overlap reveal that the solutions carry half the tension of a non-BPS…

High Energy Physics - Theory · Physics 2011-04-28 Theodore Erler

We study the superstring theory with an Abelian worldsheet gauge field. The components of the gauge field appear as a space and a time coordinates. We call them as "fictitious coordinates". The worldsheet supersymmetry and the Poincar\'e…

High Energy Physics - Theory · Physics 2011-02-09 Davoud Kamani

The solution term by term to the scattering of all consistent string theories is given. The moduli space of M-theory is derived and connects the various string theories. The solutions contain both the perturbative and non-perturbative…

General Physics · Physics 2007-05-23 Gordon Chalmers

We construct approximate kink solutions of supersymmetric open string field theory at lowest level when non-local operators in the tachyon effective action are fully taken into account. To this purpose we derive two duplication formulae for…

High Energy Physics - Theory · Physics 2009-10-02 Gianluca Calcagni , Giuseppe Nardelli

Berkovits and Vafa recently showed that critical string theories can be considered as critical superstring theories with a special choice of background. The embedding of the Virasoro algebra into the super-Virasoro algebra involved in this…

High Energy Physics - Theory · Physics 2009-10-28 I. N. McArthur

A superspace formulation for the Batalin Vilkovisky formalism (also called field-antifield quantization ) with extended BRST invariance (BRST and anti-BRST invariance ) for gauge theories with closed algebra is presented. In contrast to a…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga , Sergio M. de Souza

We outline the construction of type II superstring field theory leading to a geometric and algebraic BV master equation, analogous to Zwiebach's construction for the bosonic string. The construction uses the small Hilbert space. Elementary…

High Energy Physics - Theory · Physics 2013-05-13 Branislav Jurco , Korbinian Muenster

Recent results on the effective non-local dynamics of the tachyon mode of open string field theory (OSFT) show that approximate solutions can be constructed which obey the diffusion equation. We argue that this structure is inherited from…

High Energy Physics - Theory · Physics 2010-04-15 Gianluca Calcagni , Giuseppe Nardelli

This survey discusses our results and conjectures concerning supersymmetric field theories and their relationship to cohomology theories. A careful definition of supersymmetric Euclidean field theories is given, refining Segal's axioms for…

Algebraic Topology · Mathematics 2011-08-02 Stephan Stolz , Peter Teichner

In this paper we provide a method capable of producing an infinite number of solutions for Einstein's equation on static spacetimes with perfect fluid as a matter field. All spacetimes of this type which are symmetric with respect to a…

Differential Geometry · Mathematics 2018-02-08 Marcelo Barbosa , Benedito Leandro , Romildo Pina

A family of solutions to low energy string theory is found. These solutions represent waves traveling along "extremal black strings"

General Relativity and Quantum Cosmology · Physics 2009-10-22 David Garfinkle

We show that the tree-level S-matrices of the superstring field theories based on the homotopy-algebra structure agree with those obtained in the first-quantized formulation. The proof is given in detail for the heterotic string field…

High Energy Physics - Theory · Physics 2021-04-07 Hiroshi Kunitomo

There have been many remarkable developments in our understanding of superstring theory in the past few years, a period that has been described as ``the second superstring revolution.'' Several of them are discussed here. The presentation…

High Energy Physics - Theory · Physics 2007-05-23 John H. Schwarz