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Preliminary investigations of the topological phase of string theory along the lines of a (restricted) $\dot{w}_{\infty}$ non-linear sigma model are provided. Gauge fixing the w gravity gauge fields by preserving a geometric identity Lorenz…

High Energy Physics - Theory · Physics 2007-05-23 H. Gasparakis

All known string theory models may be obtained as partial fermionization, projection and background Ans\"atze from the original, purely bosonic string theory. The latter theory in turn has been recently shown to describe a chirally and…

High Energy Physics - Theory · Physics 2021-11-30 Per Berglund , Tristan Hübsch , Djordje Minic

This set of lecture notes first gives an introduction to the geometry of principal bundles. Next, it demonstrates how they can be used to formalize the concept of gauge theories arising in physics. A basic familiarity with the differential…

Mathematical Physics · Physics 2026-05-05 Matthijs Vákár

The fluxtrap background of string theory provides a transparent and algorithmic way of constructing supersymmetric gauge theories with both mass and Omega-type deformations in various dimensions. In this article, we review a number of…

High Energy Physics - Theory · Physics 2015-06-17 Domenico Orlando , Susanne Reffert

The generalized metric is a T-duality covariant symmetric matrix constructed from the metric and two-form gauge field and arises in generalized geometry. We view it here as a metric on the doubled spacetime and use it to give a simple…

High Energy Physics - Theory · Physics 2014-11-21 Olaf Hohm , Chris Hull , Barton Zwiebach

The two-loop Feynman diagram contribution to the four-graviton amplitude of eleven-dimensional supergravity compactified on a two-torus, T^2, is analyzed in detail. The Schwinger parameter integrations are re-expressed as integration over…

High Energy Physics - Theory · Physics 2008-11-26 Michael B. Green , Hwang-h. Kwon , Pierre Vanhove

The strong coupling limit of a quantum system is in general quite complicated, but in some cases a great simplification occurs: the strongly coupled limit is equivalent to the weakly coupled limit of some other system. In string theory…

High Energy Physics - Theory · Physics 2008-11-26 Joseph Polchinski

Einstein's theory in the vacuum was recently shown to possess an $SO(2)$ duality invariance, which is broken by coupling to matter. Duality invariance can be restored by enlarging the phase space of the theory to allow for violations of the…

High Energy Physics - Theory · Physics 2023-11-15 Uri Kol , Shing-Tung Yau

In this paper we explore some of the features of large N supersymmetric and nonsupersymmetric gauge theories using Maldacena's duality conjectures. We shall show that the resulting strong coupling behavior of the gauge theories is…

High Energy Physics - Theory · Physics 2009-09-17 David J. Gross , Hirosi Ooguri

String theory requires two kinds of loop expansion: classical $(\alpha')$ worldsheet loops with expansion parameter $<T>$ where $T$ is a modulus field, and quantum $(\hbar)$ spacetime loops with expansion parameter $<S>$ where $S$ is the…

High Energy Physics - Theory · Physics 2008-02-03 M. J. Duff

We analyze the spectrum of the exactly duality and gauge invariant higher-derivative double field theory. While this theory is based on a chiral CFT and does not correspond to a standard string theory, our analysis illuminates a number of…

High Energy Physics - Theory · Physics 2016-09-20 Olaf Hohm , Usman Naseer , Barton Zwiebach

We use the S-matrix bootstrap to carve out the space of unitary, crossing symmetric and supersymmetric graviton scattering amplitudes in ten dimensions. We focus on the leading Wilson coefficient $\alpha$ controlling the leading correction…

High Energy Physics - Theory · Physics 2021-08-25 Andrea Guerrieri , Joao Penedones , Pedro Vieira

We review some aspects of the construction of self-dual gravity and the associated field theory of ${\cal N}=2$ strings in terms of two-dimensional sigma models at large $N$. The theory is defined through a large $N$ Wess-Zumino-Witten…

High Energy Physics - Theory · Physics 2015-06-26 A. Jevicki , M. Mihailescu , J. P. Nunes

Deformations of maximal supergravity theories induced by gauging non-abelian subgroups of the duality group reveal the presence of charged M-theory degrees of freedom that are not necessarily contained in supergravity. The relation with…

High Energy Physics - Theory · Physics 2009-11-19 Bernard de Wit , Hermann Nicolai , Henning Samtleben

We suggest a conformally invariant generalization of string theory to higher-dimensional objects. As such a model, we consider a conformally invariant $\sigma$ model. For this theory, the Hamiltonian formalism is constructed, and the full…

General Relativity and Quantum Cosmology · Physics 2009-01-06 F. Zaripov

While the fundamental object in Riemannian geometry is a metric, closed string theories call for us to put a two-form gauge field and a scalar dilaton on an equal footing with the metric. Here we propose a novel differential geometry which…

High Energy Physics - Theory · Physics 2011-08-19 Imtak Jeon , Kanghoon Lee , Jeong-Hyuck Park

We review some recent results on phenomenological approaches to strong interactions inspired in gauge/string duality. In particular, we discuss how such models lead to very good estimates for hadronic masses.

High Energy Physics - Theory · Physics 2011-08-04 Henrique Boschi-Filho , Nelson R. F. Braga

The notion of a unique integrand does not a priori makes sense in field theory: different Feynman diagrams have different loop momenta and there should be no reason to compare them. In string theory, however, a global integrand is natural…

High Energy Physics - Theory · Physics 2020-07-15 Piotr Tourkine

We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS_5xS^5 and the scaling weights of the corresponding non-near-BPS operators in planar N=4 supersymmetric gauge theory.…

High Energy Physics - Theory · Physics 2009-09-29 N. Beisert , S. Frolov , M. Staudacher , A. A. Tseytlin

We describe a method of writing down the exact interacting gauge invariant 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…

High Energy Physics - Theory · Physics 2007-05-23 B. Sathiapalan