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We introduce a formalism for constructing cohomological field theories (CohFT) out of nonlinear PDEs based on the first author's previous work (arXiv:2202.12425). We apply the formalism to the generalized Seiberg-Witten equations and show…

Mathematical Physics · Physics 2025-12-09 Shuhan Jiang , Jürgen Jost

A brief review of the status of duality symmetries in string theory is presented. The evidence is accumulating rapidly that an enormous group of duality symmetries, including perturbative T dualities and non-perturbative S-dualities,…

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

Generalized dualities had an intriguing incursion into Double Field Theory (DFT) in terms of local $O(d,d)$ transformations. We review this idea and use the higher derivative formulation of DFT to compute the first order corrections to…

High Energy Physics - Theory · Physics 2020-10-06 Tomas Codina , Diego Marques

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 address the problem of describing different closed string backgrounds in background independent open string field theory: A shift in the closed string background corresponds to a collective excitation of open strings. As an illustration…

High Energy Physics - Theory · Physics 2009-01-30 Marco Baumgartl , Ivo Sachs

A comprehensive approach to the theory of higher spin gauge fields is proposed. By explicitly separating out details of implementation from general principles, it becomes possible to focus on the bare minimum of requirements that such a…

High Energy Physics - Theory · Physics 2011-07-19 A. K. H. Bengtsson

The doubled formulation of the worldsheet provides a description of string theory in which T-duality is promoted to a manifest symmetry. Here we extend this approach to $\mathcal{N}=(2,2)$ superspace providing a doubled formulation for…

High Energy Physics - Theory · Physics 2022-08-24 Chris D. A. Blair , Ondrej Hulik , Alexander Sevrin , Daniel C. Thompson

This thesis discusses various aspects of duality in quantum field theory and string theory. In the first part we consider duality in topological quantum field theories, concentrating on the Donaldson and Seiberg-Witten theories as (dual)…

High Energy Physics - Theory · Physics 2007-05-23 Kasper Olsen

String theory on ${\rm AdS}_3\times {\rm S}^3 \times\mathbb{T}^4$ with one unit ($k=1$) of NS-NS flux is considered in the hybrid formalism of Berkovits, Vafa & Witten (BVW). Using the free field realisation of the world-sheet theory at…

High Energy Physics - Theory · Physics 2021-11-10 Matthias R. Gaberdiel , Kiarash Naderi

The axiomatic formulation of quantum field theory (QFT) of the 1950's in terms of fields defined as operator valued Schwartz distributions is re-examined in the light of subsequent developments. These include, on the physical side, the…

Mathematical Physics · Physics 2007-05-23 H. Grosse , M. Oberguggenberger , I. T. Todorov

We find marginal and scalar solutions in cubic open string field theory by using left-right splitting properties of a delta function. The marginal solution represents a marginal deformation generated by a U(1) current, and it is a…

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

We present the formalization of a theory of syntax with bindings that has been developed and refined over the last decade to support several large formalization efforts. Terms are defined for an arbitrary number of constructors of varying…

Logic in Computer Science · Computer Science 2017-07-04 Lorenzo Gheri , Andrei Popescu

The usual Laurent expansion of the analytic tensors on the complex plane is generalized to any closed and orientable Riemann surface represented as an affine algebraic curve. As an application, the operator formalism for the $b-c$ systems…

High Energy Physics - Theory · Physics 2015-06-26 F. Ferrari , J. Sobczyk

We present a series of new gauge invariant quantities in Witten's open string field theory. They are defined for a given set of open string states which satisfy the physical state condition around a classical solution. For known classical…

High Energy Physics - Theory · Physics 2019-08-27 Toru Masuda , Hiroaki Matsunaga

We regulate Witten's open superstring field theory by replacing the picture-changing insertion at the midpoint with a contour integral of picture changing insertions over the half-string overlaps of the cubic vertex. The resulting product…

High Energy Physics - Theory · Physics 2015-06-18 Theodore Erler , Sebastian Konopka , Ivo Sachs

We construct a field redefinition between Witten's string field theory and its deformation by the Ellwood invariant. This field redefinition is singular and does not imply physical equivalence between them. However, it allows us to formally…

High Energy Physics - Theory · Physics 2026-05-26 Yuji Ando

We present a new representation of the string vertices of the cubic open string field theory. By using this three-string vertex, we attempt to identify open string fields as huge-sized matrices by following Witten's idea. By using these…

High Energy Physics - Theory · Physics 2009-11-07 Teruhiko Kawano , Kazumi Okuyama

After a brief overview of the operator formalism for conventional string theory, an operator formalism for ambitwistor string theory is presented. It is shown how tree level supergravity scattering amplitudes are recovered in this…

High Energy Physics - Theory · Physics 2016-07-20 R. A. Reid-Edwards

A general algorithm is presented which gives a closed-form expression for an arbitrary perturbative diagram of cubic string field theory at any loop order. For any diagram, the resulting expression is given by an integral of a function of…

High Energy Physics - Theory · Physics 2007-05-23 Washington Taylor

We study the application of the rules of Thermo Field Dynamics (TFD) to the covariant formulation of Open String Field Theory (OSFT). We extend the states space and fields according to the duplication rules of TFD and construct the…

High Energy Physics - Theory · Physics 2016-03-23 M. Botta Cantcheff , R. J. Scherer Santos