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The study of abstraction and composition - the focus of category theory - naturally leads to sophisticated diagrams which can encode complex algebraic semantics. Consequently, these diagrams facilitate a clearer visual comprehension of…

Category Theory · Mathematics 2024-06-27 Vincent Abbott , Gioele Zardini

The traditional formulation of string amplitudes via worldsheet integrals provides a parametrization of the moduli space that fails to expose the complete singularity structure of the amplitudes. This problem is solved by the positive…

High Energy Physics - Theory · Physics 2025-12-02 Carolina Figueiredo , Marcos Skowronek

An approach to systematically implement open-closed string duality for free large $N$ gauge theories is summarised. We show how the relevant closed string moduli space emerges from a reorganisation of the Feynman diagrams contributing to…

High Energy Physics - Theory · Physics 2009-11-10 Rajesh Gopakumar

This thesis describes an attempt to write down covariant actions for coincident D-branes using so-called boundary fermions instead of matrices to describe the non-abelian fields. These fermions can be thought of as Chan-Paton degrees of…

High Energy Physics - Theory · Physics 2007-05-23 Linus Wulff

It is argued that quantum traveling of D-particles presents the ``joining-splitting'' processes of field theory Feynman graphs. The amplitudes in $d$ dimensions can be corresponded with those of a $d+2$ dimensional theory in the Light-Cone…

High Energy Physics - Theory · Physics 2007-05-23 Shahrokh Parvizi , Amir H. Fatollahi

A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner…

High Energy Physics - Theory · Physics 2009-09-25 Richard J. Szabo

It is argued that the complete S-matrix of string theory at tree level in a flat background can be obtained from a small set of target space properties, without recourse to the worldsheet description. The main non-standard inputs are…

High Energy Physics - Theory · Physics 2015-06-18 Rutger H. Boels , Tobias Hansen

The three string vertex for Type IIB superstrings in a maximally supersymmetric plane-wave background can be constructed in a light-cone gauge string field theory formalism. The detailed formula contains certain Neumann coefficients, which…

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

Feynman diagram expressions in ordinary field theories can be written in a string-like manner. The methods and the advantages for doing so are briefly discussed.

High Energy Physics - Theory · Physics 2009-09-25 C. S. Lam

Feynman diagrams are the foremost tool in the perturbative study of quantum field theory. In gauge theories, the full potential of this tool is revealed when it is combined with the Slavanov-Taylor identities associated with the local gauge…

High Energy Physics - Theory · Physics 2025-12-16 Roji Pius

The present article is based on a previous one, where a second quantized field theory on the world sheet for summing the planar graphs of phi^3 theory was developed. In this earlier work, the ground state of the model was determined using a…

High Energy Physics - Theory · Physics 2009-04-02 Korkut Bardakci

We quantize pure 2d Yang-Mills theory on an arbitrary Riemann surface in the gauge where the field strength is diagonal. Twisted sectors originate, as in Matrix string theory, from permutations of the eigenvalues around homotopically…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , A D'Adda , P. Provero

The covariant operator quantization of the ordinary free spinning BDH string modified by adding the supersymmetric Liouville sector is analysed in the even target space dimensions $d=2,4,6,8$. The spectrum generating algebra for this model…

High Energy Physics - Theory · Physics 2009-10-31 Zbigniew Hasiewicz , Zbigniew Jaskolski , Andrzej Ostrowski

The worldline approach to Quantum Field Theory (QFT) allows to efficiently compute several quantities, such as one-loop effective actions, scattering amplitudes and anomalies, which are linked to particle path integrals on the circle. A…

High Energy Physics - Theory · Physics 2018-11-07 Olindo Corradini , Maurizio Muratori

We develop a general framework for quantum field theory on noncommutative spaces, i.e., spaces with quantum group symmetry. We use the path integral approach to obtain expressions for $n$-point functions. Perturbation theory leads us to…

High Energy Physics - Theory · Physics 2009-10-31 Robert Oeckl

Quantization of closed string proceeds with a suitable choice of worldsheet vacuum. A priori, the vacuum may be chosen independently for left-moving and right-moving sectors. We construct {\sl ab initio} quantized bosonic string theory with…

High Energy Physics - Theory · Physics 2017-12-11 Kanghoon Lee , Soo-Jong Rey , J. A. Rosabal

String theory is the leading contemporary framework to explore the synthesis of quantum mechanics with gravity. String phenomenology aims to study string theory while maintaining contact with observational data. The fermionic $Z_2\times…

High Energy Physics - Theory · Physics 2020-03-18 Alon E Faraggi

Matrix string theory is equivalent to type IIA superstring theory in the light-cone gauge, together with extra degrees of freedom representing D-brane states. It is therefore the appropriate framework in which to study systems of multiple…

High Energy Physics - Theory · Physics 2009-11-07 Dominic Brecher , Bert Janssen , Yolanda Lozano

String diagrammatic calculi have become increasingly popular in fields such as quantum theory, circuit theory, probabilistic programming, and machine learning, where they enable resource-sensitive and compositional algebraic analysis.…

Logic in Computer Science · Computer Science 2025-06-30 Gabriele Lobbia , Wojciech Różowski , Ralph Sarkis , Fabio Zanasi

Witten has recently proposed a string theory in twistor space whose D-instanton contributions are conjectured to compute N=4 super-Yang-Mills scattering amplitudes. An alternative string theory in twistor space was then proposed whose open…

High Energy Physics - Theory · Physics 2009-11-10 Nathan Berkovits , Lubos Motl