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In this contribution to the Proceedings of the Conference on Analysis, Complex Geometry, and Mathematical Physics, an expository overview of superstring perturbation theory to two loop order is presented to an audience of mathematicians and…

High Energy Physics - Theory · Physics 2014-04-01 Eric D'Hoker

Three-dimensional field theories with N=3 and N=4 supersymmetries are considered in the framework of the harmonic-superspace approach. Analytic superspaces of these supersymmetries are similar; however, the geometry of gauge theories with…

High Energy Physics - Theory · Physics 2009-10-31 B. M. Zupnik

In this article we show that finite perturbative corrections in non-supersymmetric strings can be understood via an interplay between modular invariance and misaligned supersymmetry. While modular invariance is known to be crucial in…

High Energy Physics - Theory · Physics 2022-05-06 Niccolò Cribiori , Susha Parameswaran , Flavio Tonioni , Timm Wrase

The divergences that arise in the regularized partition function for closed bosonic string theory in flat space lead to three types of perturbation series expansions, distinguished by their genus dependence. This classification of…

High Energy Physics - Theory · Physics 2010-04-06 Simon Davis

A review of various aspects of superstrings in background electromagnetic fields is presented. Topics covered include the Born-Infeld action, spectrum of open strings in background gauge fields, the Schwinger mechanism, finite-temperature…

High Energy Physics - Theory · Physics 2009-10-31 J. Ambjorn , Y. M. Makeenko , G. W. Semenoff , R. J. Szabo

In this review, we give a pedagogical introduction to a systematic framework for constructing and analyzing supersymmetric field theories on curved spacetime manifolds. The framework is based on the use of off-shell supergravity background…

High Energy Physics - Theory · Physics 2017-10-25 Thomas T. Dumitrescu

We describe a method of writing down interacting equations for all the modes of the bosonic open string. It is a generalization of the loop variable approach that was used earlier for the free, and lowest order interacting cases. The…

High Energy Physics - Theory · Physics 2011-04-20 B. Sathiapalan

Duality symmetries in M--theory and string theory are reviewed, with particular emphasis on the way in which string winding modes and brane wrapping modes can lead to new spatial dimensions. Brane world-volumes wrapping around Lorentzian…

High Energy Physics - Theory · Physics 2007-05-23 C. M. Hull

Studying a quantum field theory involves a choice of space-time manifold and a choice of background for any global symmetries of the theory. We argue that many more choices are possible when specifying the background. In the context of…

High Energy Physics - Theory · Physics 2016-12-21 Travis Maxfield , Daniel Robbins , Savdeep Sethi

A brief overview of strings propagating on noncompact coset spaces G/H is presented in terms of WZW models. The role played by isometries in the existence of target space duality and by fixed points of the gauge transformations in the…

High Energy Physics - Theory · Physics 2007-05-23 Fernando Quevedo

We construct off-shell amplitudes in heterotic and type II string theories involving arbitrary combination of Ramond and Neveu-Schwarz sector external states. We also construct the equations of motion of a gauge invariant 1PI effective…

High Energy Physics - Theory · Physics 2015-09-02 Ashoke Sen

Cosmic (super)strings offer promising ways to test ideas about the early universe and physics at high energies. While in field theory constructions their tension is usually assumed to be constant (or at most slowly-varying), this is often…

High Energy Physics - Phenomenology · Physics 2025-05-08 Filippo Revello , Gonzalo Villa

We develop classical globally supersymmetric theories. As much as possible, we treat various dimensions and various amounts of supersymmetry in a uniform manner. We discuss theories both in components and in superspace. Throughout we…

High Energy Physics - Theory · Physics 2007-05-23 Pierre Deligne , Daniel S. Freed

The `winding state' behavior appears in the two-loop nonplanar contribution to the partition function in thermal noncommutative field theories. We derive this feature directly from the purely open string theory analysis in the presence of…

High Energy Physics - Theory · Physics 2014-11-18 Youngjai Kiem , Dong Hyun Park , Haru-Tada Sato

Rather than an a priori arena in which events take place, space-time is a construction of our mind making possible a particular kind of ordering of events. As quantum entanglement is a property of states independent of classical distances,…

Quantum Physics · Physics 2015-03-26 Karl Svozil

Multivariate random fields whose distributions are invariant under operator-scalings in both time-domain and state space are studied. Such random fields are called operator-self-similar random fields and their scaling operators are…

Probability · Mathematics 2011-08-08 Yuqiang Li , Yimin Xiao

In some string theories, e.g. SO(32) heterotic string theory on Calabi-Yau manifolds, a massless field with a tree level potential can acquire a tachyonic mass at the one loop level, forcing us to quantize the theory around a new background…

High Energy Physics - Theory · Physics 2015-06-19 Roji Pius , Arnab Rudra , Ashoke Sen

Configurations of two or more branes wrapping different homology cycles of space-time are considered and the amount of supersymmetry preserved is analysed, generalising the analysis of multiple branes in flat space. For K3…

High Energy Physics - Theory · Physics 2009-09-17 Mirjam Cvetic , Christopher M. Hull

This article is devoted to an overview of superstring perturbation theory from the point of view of super Riemann surfaces. We aim to elucidate some of the subtleties of superstring perturbation that caused difficulty in the early…

High Energy Physics - Theory · Physics 2016-07-26 Edward Witten

Twistor string models have been known for more than a decade now but have come back under the spotlight recently with the advent of the scattering equation formalism which has greatly generalized the scope of these models. A striking…

High Energy Physics - Theory · Physics 2018-03-21 Eduardo Casali , Piotr Tourkine
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