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In this thesis we probe various interactions between toric geometry and string theory. First, the notion of a top was introduced by Candelas and Font as a useful tool to investigate string dualities. These objects torically encode the local…

High Energy Physics - Theory · Physics 2007-05-23 Vincent Bouchard

We derive a set of necessary and sufficient conditions for obtaining N=1 backgrounds of M-theory and type IIA strings in the presence of fluxes. Our metrics are warped products of four-dimensional Minkowski space-time with a curved internal…

High Energy Physics - Theory · Physics 2009-11-10 Gianguido Dall'Agata , Nikolaos Prezas

Using the generalised AdS/CFT correspondence, we show that there are certain ten-dimensional differentiable manifolds such that string theory on such a manifold is unstable [to the emission of "large branes"] no matter what the metric may…

High Energy Physics - Theory · Physics 2010-02-03 Brett McInnes

Via compactification on a circle, the matrix model of M-theory proposed by Banks et al suggests a concrete identification between the large N limit of two-dimensional N=8 supersymmetric Yang-Mills theory and type IIA string theory. In this…

High Energy Physics - Theory · Physics 2010-11-19 R. Dijkgraaf , E. Verlinde , H. Verlinde

We study compactifications of the $N=2$ 6D tensionless string on various complex two-folds down to two-dimensions. In the IR limit they become non-trivial conformal field theories in 2D. Using results of Vafa and Witten on the partition…

High Energy Physics - Theory · Physics 2008-02-03 Ori J. Ganor

The B-twisted topological sigma model coupled to topological gravity is supposed to be described by an ordinary field theory: a type of holomorphic Chern-Simons theory for the open string, and the Kodaira-Spencer theory for the closed…

High Energy Physics - Theory · Physics 2010-11-01 Neil Marcus , Shimon Yankielowicz

The R^4 terms in the effective action for M-theory compactified on a two-torus are motivated by combining one-loop results in type II superstring theories with the Sl(2,Z) duality symmetry. The conjectured expression reproduces precisely…

High Energy Physics - Theory · Physics 2010-11-19 Michael B. Green , Pierre Vanhove

BPS saturated p-branes play an important role in recent progress in understanding superstring theory and M theory. One approach to understanding the dynamics of p-branes is to formulate an effective (p+1)-dimensional world-volume theory.…

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

The conjecture that M-theory has the rank eleven Kac-Moody symmetry e11 implies that Type IIA and Type IIB string theories in ten dimensions possess certain infinite dimensional perturbative symmetry algebras that we determine. This…

High Energy Physics - Theory · Physics 2009-11-07 Matthias R Gaberdiel , Peter C West

There is an interpretation of open string field theory in algebraic topology. An interpretation of closed string field theory can be deduced from this open string theory to obtain as well the interpretation of open and closed string field…

Quantum Algebra · Mathematics 2007-05-23 Dennis Sullivan

The tree-level amplitude for the scattering of two gauge particles constrained to move on the two distinct boundaries of eleven-dimensional space-time in the Horava-Witten formulation of M-theory is constructed. At low momenta this…

High Energy Physics - Theory · Physics 2009-10-31 Tathagata Dasgupta , Matthias R. Gaberdiel , Michael B. Green

In this paper we develop the covariant string field theory approach to open 2d strings. Upon constructing the vertices, we apply the formalism to calculate the lowest order contributions to the 4- and 5- point tachyon--tachyon tree…

High Energy Physics - Theory · Physics 2009-10-22 Branko Urosevic

We show that the topological string partition function with D-branes on a compact Calabi-Yau manifold has new anomalies that spoil the recursive structure of the holomorphic anomaly equation and introduce dependence on wrong moduli (such as…

High Energy Physics - Theory · Physics 2009-09-17 Paul L. H. Cook , Hirosi Ooguri , Jie Yang

This review summarizes the recent developments in topological string theory from the author's perspective, mostly focused on aspects of research in which the author is involved. After a brief overview of the theory, we discuss two aspects…

High Energy Physics - Theory · Physics 2019-01-15 Min-xin Huang

In this paper we use trivial defects to define global taffy-like operations on string worldsheets, which preserve the field theory. We fold open and closed strings on a space X into open strings on products of multiple copies of X, and…

High Energy Physics - Theory · Physics 2016-10-04 M. Ando , E. Sharpe

We revisit the holomorphic anomaly equations satisfied by the topological string amplitude from the perspective of the 4D-5D lift, in the context of ''magic'' N=2 supergravity theories. In particular, we interpret the Gopakumar-Vafa…

High Energy Physics - Theory · Physics 2014-11-18 Peng Gao , Boris Pioline

We demonstrate that M-theory compactifications on 7-manifolds of G_2 holonomy, which yield 4d N=1 supersymmetric systems, often admit at special loci in their moduli space a description as type IIA orientifolds. In this way, we are able to…

High Energy Physics - Theory · Physics 2010-05-28 Shamit Kachru , John McGreevy

We describe the fate of the Type I non-BPS D7-brane, which is tachyonic but carries a non-trivial K-theory $\IZ_2$ charge. It decays to topologically non-trivial gauge field configurations on the background D9-branes. In the uncompactified…

High Energy Physics - Theory · Physics 2009-10-09 Oscar Loaiza-Brito , Angel M. Uranga

We analyze the brane content and charges in all of the orientifold string theories on space-times of the form E x R^8, where E is an elliptic curve with holomorphic or anti-holomorphic involution. Many of these theories involve "twistings"…

High Energy Physics - Theory · Physics 2015-03-03 Charles Doran , Stefan Mendez-Diez , Jonathan Rosenberg

We study BPS states which arise in compactifications of M-theory on Calabi-Yau manifolds. In particular, we are interested in the spectrum of the particles obtained by wrapping M2-brane on a two-cycle in the CY manifold X. We compute the…

High Energy Physics - Theory · Physics 2010-02-03 Nikita Nekrasov