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In this set of lectures I review recent developments in string theory emphasizing their non-perturbative aspects and their recently discovered duality symmetries. The goal of the lectures is to make the recent exciting developments in…

High Energy Physics - Theory · Physics 2007-05-23 Cumrun Vafa

I review the covariant quantization of the closed fermionic string with (2,2) extended world-sheet supersymmetry on R^{2,2}. Results on n-point scattering amplitudes are presented, for tree- and one-loop world-sheets with arbitrary Maxwell…

High Energy Physics - Theory · Physics 2007-05-23 Olaf Lechtenfeld

We consider the non-abelian self-dual two-form theory arXiv:1203.4224 and find new exact solutions. Our solutions are supported by Yang-Mills (anti)instantons in 4-dimensions and describe wave moving in null directions. We argue and provide…

High Energy Physics - Theory · Physics 2015-06-16 Chong-Sun Chu , Hiroshi Isono

This is the written version of a short talk given at the University of Leipzig in December 1998. It reviews some general aspects of string theory from the viewpoint of the search for an unifying theory. Here, special emphasis lies on the…

High Energy Physics - Theory · Physics 2007-05-23 M. Rudolph

A Bianchi type-I cosmological model in the presence of a magnetic flux along a cosmological string is investigated. The objective of this study is to generate solutions to the Einstein equations using a few tractable assumptions usually…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Bijan Saha , Victor Rikhvitsky , Mihai Visinescu

We study $p=-1$ D-brane in type IIB superstring theory. In addition to RR instanton, we obtain the RR charged wormhole solution in the Einstein frame. This corresponds to the ten-dimensional singular wormhole solution with infinite…

High Energy Physics - Theory · Physics 2015-06-26 Jin Young Kim , H. W. Lee , Y. S. Myung

In a recent paper, Balthazar, Rodriguez and Yin found some remarkable agreement between the results of c=1 matrix model and D-instanton corrections in two dimensional string theory. Their analysis left undetermined two constants in the…

High Energy Physics - Theory · Physics 2020-03-18 Ashoke Sen

The metric on the hypermultiplet moduli space of Calabi-Yau compactifications of type II string theory is known to receive D-brane and NS5-brane instanton corrections. We compute explicit expressions for these corrections in the…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Khalil Bendriss

We review some exact solitonic solutions of string theory with higher-membrane structure. These include an axionic instanton solution of bosonic string theory as well as multi-instanton and multimonopole solutions of heterotic string…

High Energy Physics - Theory · Physics 2007-05-23 Ramzi R. Khuri

We review some of the recent progress in the continuum formulation of two-dimensional string theory, i.e. two-dimensional quantum gravity coupled to $c=1$ matter. Special attention is devoted to the discrete states and to the $w_\infty$…

High Energy Physics - Theory · Physics 2007-05-23 Igor R. Klebanov , Andrea Pasquinucci

We study the formation of gravitating global strings through quantum mechanical tunneling. The instantons that describe the nucleation process are characterized by two parameters: the string core thickness and its gravitational backreaction…

General Relativity and Quantum Cosmology · Physics 2024-11-01 Jose J. Blanco-Pillado , Georgios Fanaras , Alexander Vilenkin

One-loop corrections to the gauge coupling and the gauge kinetic function in certain classes of four-dimensional D-brane models are computed. It is described how to determine D-instanton corrections to the superpotential and the gauge…

High Energy Physics - Theory · Physics 2009-09-18 Maximilian Schmidt-Sommerfeld

Instantons are tunneling solutions that connect two vacua, and under a small change in the potential, instantons sometimes disappear. We classify these disappearances as smooth (decay rate goes to 0 at disappearance) or abrupt (decay rate…

High Energy Physics - Theory · Physics 2013-05-29 Adam R. Brown , Alex Dahlen

We examine the properties and symmetries of the lowest order effective theory of 4-dim string backgrounds with axion and dilaton fields and zero cosmological constant. The dimensional reduction yields an O(2,2) current group of…

High Energy Physics - Theory · Physics 2007-05-23 Ioannis Bakas

A Bianchi type I string cosmological model in the presence of a magnetic flux is investigated. A few plausible assumptions regarding the parametrization of the cosmic string and magneto-fluid are introduced and some exact analytical…

General Relativity and Quantum Cosmology · Physics 2015-05-01 Bijan Saha , Mihai Visinescu

Two classes of stringy instanton effects, stronger than standard field theory instantons, are identified in the heterotic string theory. These contributions are established using type IIA/heterotic and type I/heterotic dualities. They…

High Energy Physics - Theory · Physics 2009-10-30 Eva Silverstein

Modular and quasimodular forms have played an important role in gravity and string theory. Eisenstein series have appeared systematically in the determination of spectrums and partition functions, in the description of non-perturbative…

Mathematical Physics · Physics 2012-06-05 P. Marios Petropoulos , Pierre Vanhove

We discuss the role of string solitons in duality and examine the feature of compositeness, which allows for the interpretation of general solutions as bound states of supersymmetric fundamental constituents. This feature lies at the heart…

High Energy Physics - Theory · Physics 2007-05-23 Ramzi R. Khuri

Gravitational instantons of Bianchi type IX space are constructed in Ashtekar's canonical formalism. Instead of solving the self-duality condition, we fully solve the constraint on the ``initial surface'' and ``Hamiltonian equations''. This…

General Relativity and Quantum Cosmology · Physics 2015-06-25 H. Ishihara , H. Kubotani , T. Fukuyama

We review and elaborate on certain aspects of the connections between instanton counting in maximally supersymmetric gauge theories and the computation of enumerative invariants of smooth varieties. We study in detail three instances of…

High Energy Physics - Theory · Physics 2015-03-13 Richard J. Szabo