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Presently integrability turned out to be the key property in the study of duality between superconformal gauge theories and strings in anti-de Sitter superspaces. Complexity of the study of integrable structure in string theory is caused by…

High Energy Physics - Theory · Physics 2026-01-19 Dmytro V. Uvarov

Based on a model of the d=3 SU(2) pure gauge theory vacuum as a monopole-vortex condensate, we give a quantitative (if model-dependent) estimate of the relation between the string tension and a gauge-invariant measure of the Chern-Simons…

High Energy Physics - Theory · Physics 2009-10-28 John M. Cornwall , Bryce Yan

Using heterotic/type II string duality, we obtain exact nonperturbative results for the point particle limit (alpha' -> 0) of some particular four dimensional, N=2 supersymmetric compactifications of heterotic strings. This allows us to…

High Energy Physics - Theory · Physics 2009-10-07 S. Kachru , A. Klemm , W. Lerche , P. Mayr , C. Vafa

At the classical level we study open bosonic strings. A generic description of string self-interactions localized at string ends is given. Self-interactions are characterized by two dimensionless coupling constants. The model is rewritten…

High Energy Physics - Theory · Physics 2015-06-26 Pawel Wegrzyn

Recently it has been conjectured that string theory does not allow for dS vacua or dS extrema. To scrutinize such a conjecture, it is important to study concrete string theory compactifications and spell out their assumptions and potential…

High Energy Physics - Theory · Physics 2018-12-04 Christoph Roupec , Timm Wrase

A class of exact solutions of the dispersionless Toda hierarchy constrained by a string equation is obtained. These solutions represent deformations of analytic curves with a finite number of nonzero harmonic moments. The corresponding…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Luis Martinez Alonso , Elena Medina

It appears that string-M-theory is the only viable candidate for a complete theory of matter. It must therefore contain both gravity and QCD. What is particularly surprising is the recent conjecture that strongly coupled QCD matrix elements…

High Energy Physics - Theory · Physics 2007-05-23 S. S. Pinsky , U. Trittmann , J. R. Hiller

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

These four lectures, addressed to an audience of graduate students in experimental high energy physics, survey some of the basic concepts in string theory. The purpose is to convey a general sense of what string theory is and what it has…

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

We review exact results obtained for R^4 couplings in maximally supersymmetric type II string theories. These couplings offer a privileged scene to understand the rules of semiclassical calculus in string theory. Upon expansion in weak…

High Energy Physics - Theory · Physics 2015-06-26 B. Pioline

We explicitly give the correspondence between spectra of heterotic string theory compactified on $T^2$ and string junctions in type IIB theory compactified on $S^2$.

High Energy Physics - Theory · Physics 2008-11-26 Yosuke Imamura

String theory builds on the great legacy of Yukawa and Tomonaga: New degrees of freedom and control of the UV are two important themes. This talk will give an overview of some of the progress and some of the unsolved problems that…

High Energy Physics - Theory · Physics 2009-11-13 John H. Schwarz

Inspired by recent connections between spectral theory and topological string theory, we propose exact quantization conditions for the relativistic Toda lattice of N particles. These conditions involve the Nekrasov-Shatashvili free energy,…

High Energy Physics - Theory · Physics 2020-01-15 Yasuyuki Hatsuda , Marcos Marino

The factorization problem of the multi-component 2D Toda hierarchy is used to analyze the dispersionless limit of this hierarchy. A dispersive version of the Whitham hierarchy defined in terms of scalar Lax and Orlov--Schulman operators is…

Mathematical Physics · Physics 2015-05-13 Manuel Manas , Luis Martinez Alonso

We propose a duality between the complex Liouville string and a two-matrix integral. The complex Liouville string is defined by coupling two Liouville theories with complex central charges $c = 13 \pm i \lambda$ on the worldsheet. The…

High Energy Physics - Theory · Physics 2025-05-14 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez

We investigate numerically the configurational statistics of strings. The algorithm models an ensemble of global $U(1)$ cosmic strings, or equivalently vortices in superfluid $^4$He. We use a new method which avoids the specification of…

High Energy Physics - Theory · Physics 2009-10-28 M. Hindmarsh , K. Strobl

We simulate five different systems belonging to the universality class of the gauge dual of three-dimensional random percolation to study the underlying effective string theory at finite temperature. All the data for the finite temperature…

High Energy Physics - Lattice · Physics 2009-03-24 Pietro Giudice , Ferdinando Gliozzi , Stefano Lottini

Using the recent proposal for the observables in open string field theory, we explicitly compute the coupling of closed string tachyon and massless states with the open string states up to level two. Using these couplings, we then calculate…

High Energy Physics - Theory · Physics 2009-11-07 Mohsen Alishahiha , Mohammad R. Garousi

We search for $N=2$, $d=4$ theories which can be realized both as heterotic string compactifications on $K_{3}\times T^{2}$ and as type II string compactifications on Calabi-Yau threefolds. In such cases, the exact non-perturbative…

High Energy Physics - Theory · Physics 2009-07-09 Shamit Kachru , Cumrun Vafa

Quantum theory of 2d gravity for $c>1$ is examined as a non-critical string theory by taking account of the loop-correction of open strings whose end points are on the 2d world surface of the closed string. This loop-correction leads to a…

High Energy Physics - Theory · Physics 2009-10-30 Kazuo Ghoroku