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We develop techniques to compute higher loop string amplitudes for twisted $N=2$ theories with $\hat c=3$ (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states,…

High Energy Physics - Theory · Physics 2009-09-17 M. Bershadsky , S. Cecotti , H. Ooguri , C. Vafa

We consider consequences of triviality of cobordism classes and anomaly cancellation in supergravity theories in $d>6$. We argue that this leads to the existence of certain defects which we call "I-folds" (a generalization of orientifolds).…

High Energy Physics - Theory · Physics 2021-02-03 Miguel Montero , Cumrun Vafa

M5 branes probing D-type singularities give rise to 6d (1,0) SCFTs with $SO \times SO$ flavor symmetry known as D-type conformal matter theories. Gauging the diagonal $SO$-flavor symmetry leads to a little string theory with an intrinsic…

High Energy Physics - Theory · Physics 2018-09-14 Babak Haghighat , Joonho Kim , Wenbin Yan , Shing-Tung Yau

The cosmological compactification of D=10, N=1 supergravity-super-Yang-Mills theory obtained from superstring theory is studied. The constraint of unbroken N=1 supersymmetry is imposed. A duality transformation is performed on the resulting…

High Energy Physics - Theory · Physics 2009-10-30 H. K. Jassal , A. Mukherjee , R. P. Saxena

Following an old result of Marcus and Schwarz we argue that in the heterotic string theory compactified on a seven dimensional torus, the target space duality group O(7,23;Z) and the strong-weak coupling duality transformations combine into…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

Within a $D$-dimensional superstring spacetime, we construct a non-supersymmetric brane-world with localized gravity and large hierarchy between the scale in the bulk, $M_D$, and the scale on the brane, $M_{D-2}$. The localization of…

High Energy Physics - Theory · Physics 2008-11-26 P. Berglund , T. Hubsch , D. Minic

This thesis is devoted to various questions connected with duality. It is composed of two parts. The first part discusses some aspects of timelike T-duality. We explore the possibility of compactification of supergravity theories with…

High Energy Physics - Theory · Physics 2018-10-08 Arash Ranjbar

We present duality invariant structure of the thermodynamic quantities of non-extreme black hole solutions of torodially compactified Type II (M-theory) and heterotic string in five and four dimensions. These quantities are parameterized by…

High Energy Physics - Theory · Physics 2009-09-17 Mirjam Cvetic , Ingo Gaida

On compactification to six spacetime dimensions, the fundamental heterotic string admits as a soliton a dual string whose effective worldsheet action couples to the background fields of the dual formulation of six-dimensional supergravity.…

High Energy Physics - Theory · Physics 2010-11-01 M. J. Duff

We study the localization of gravity on string-like defects in codimension two. We point out that the gravity-localizing `local cosmic string' spacetime has an orbifold singularity at the horizon. The supergravity embedding and the AdS/CFT…

High Energy Physics - Theory · Physics 2009-10-31 Eduardo Ponton , Erich Poppitz

We present evidence for the target space duality symmetry associated with massive excited states of closed bosonic string. The evolution of string is considered in ${\hat D}$ spacetime dimensions; out of which d spacial dimensions are…

High Energy Physics - Theory · Physics 2010-12-13 Jnanadeva Maharana

In the usual procedure for toroidal Kaluza-Klein reduction, all the higher-dimensional fields are taken to be independent of the coordinates on the internal space. It has recently been observed that a generalisation of this procedure is…

High Energy Physics - Theory · Physics 2009-10-07 I. V. Lavrinenko , H. Lu , C. N. Pope

We review some results concerning the properties of static, spherically symmetric solutions of multidimensional theories of gravity: various scalar-tensor theories and a generalized string-motivated model with multiple scalar fields and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 K. A. Bronnikov , V. N. Melnikov

In this paper we study duality properties of the M(atrix) theory compactified on a circle. We establish the equivalence of this theory to the strong coupling limit of type IIB string theory compactified on a circle. In the M(atrix) theory…

High Energy Physics - Theory · Physics 2009-10-30 Pei-Ming Ho , Yong-Shi Wu

We consider supergravity in twelve dimension, whose dimensional reduction yields eleven-dimensional, IIA, and IIB supergravities. This also provides the effective field theory of F-theory. We must take one direction as a compact circle, so…

High Energy Physics - Theory · Physics 2015-10-28 Kang-Sin Choi

Geometric structures and dualities arise naturally in quantum field theories and string theory. In fact, these tools become very useful when studying strong coupling effects, where standard perturbative techniques can no longer be used. In…

High Energy Physics - Theory · Physics 2021-05-18 Thomas B. Rochais

These lectures intend to give a pedagogical introduction into some of the developments in string theory during the last years. They include perturbative T-duality and non perturbative S- and U-dualities, their unavoidable demand for…

High Energy Physics - Theory · Physics 2007-05-23 Michael Haack , Boris Kors , Dieter Lust

We point out that in (open) string compactifications with non-zero NS-NS B-field we can have large Kaluza-Klein thresholds even in the small volume limit. In this limit the corresponding gauge theory description is in terms of a…

High Energy Physics - Theory · Physics 2014-11-18 Zurab Kakushadze

We find the orbifold analog of the topological relation recently found by Freed and Witten which restricts the allowed D-brane configurations of Type II vacua with a topologically non-trivial flat $B$-field. The result relies in Douglas…

High Energy Physics - Theory · Physics 2009-10-31 Jaume Gomis

We study compactifications of eleven-dimensional supergravity on Calabi-Yau threefolds times a circle, with a duality twist along the circle a la Scherk-Schwarz. This leads to four-dimensional N=2 gauged supergravity with a semi-positive…

High Energy Physics - Theory · Physics 2011-06-07 Hugo Looyestijn , Erik Plauschinn , Stefan Vandoren