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We study effective gravitational F-terms, obtained by integrating an $U(N)$ adjoint chiral superfield $\Phi$ coupled to the ${\cal N}=1$ gauge chiral superfield $W_\alpha$ and supergravity, to arbitrary orders in the gravitational…

High Energy Physics - Theory · Physics 2016-09-06 Luis F. Alday , Michele Cirafici , Justin R. David , Edi Gava , K. S. Narain

When the gauge groups of the two heterotic string theories are broken, over tori, to their "SO(16)x SO(16)" subgroups, the winding modes correspond to representations which are spinorial with respect to those subgroups. Globally, the two…

High Energy Physics - Theory · Physics 2008-11-26 Brett McInnes

We give a worldsheet proof of the equivalence between the U(N) Chern-Simons gauge theory on S^3 and the topological closed string theory on the resolved conifold geometry. When the `t Hooft coupling of the gauge theory is small, the dual…

High Energy Physics - Theory · Physics 2008-11-26 Hirosi Ooguri , Cumrun Vafa

We provide some evidence that closed string coordinates will become non-commutative turning on H-field flux background in closed string compactifications. This is in analogy to open string non-commutativity on the world volume of D-branes…

High Energy Physics - Theory · Physics 2011-02-25 Dieter Lust

We consider the topological string partition function, including the Nekrasov deformation, for type IIB geometries with an A_{n-1} singularity over a Riemann surface. These models realize the N=2 SU(n) superconformal gauge systems recently…

High Energy Physics - Theory · Physics 2009-09-15 Robbert Dijkgraaf , Cumrun Vafa

The closed topological vertex is the simplest ``off-strip'' case of non-compact toric Calabi-Yau threefolds with acyclic web diagrams. By the diagrammatic method of topological vertex, open string amplitudes of topological string theory…

Mathematical Physics · Physics 2015-12-10 Kanehisa Takasaki , Toshio Nakatsu

We construct new topological theories related to sigma models whose target space is a seven dimensional manifold of G_2 holonomy. We define a new type of topological twist and identify the BRST operator and the physical states. Unlike the…

High Energy Physics - Theory · Physics 2009-11-11 Jan de Boer , Asad Naqvi , Assaf Shomer

Many important ideas about string duality that appear in conventional $\T^2$ compactification have analogs for $\T^2$ compactification without vector structure. We analyze some of these issues and show, in particular, how orientifold planes…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We construct non-geometric string compactifications by using the F-theory dual of the heterotic string compactified on a two-torus with two Wilson line parameters, together with a close connection between modular forms and the equations for…

Algebraic Geometry · Mathematics 2022-05-18 Adrian Clingher , Thomas Hill , Andreas Malmendier

The capability of string theories to reproduce at low energy the observed pattern of quark and lepton masses and mixing angles is examined, focusing the attention on orbifold constructions, where the magnitude of Yukawa couplings depends on…

High Energy Physics - Theory · Physics 2009-10-22 J. A. Casas , F. Gómez , C. Muñoz

We construct a lattice model of compact (2+1)-dimensional Maxwell-Chern- Simons theory, starting from its formulation in terms of gauge invariant quantities proposed by Deser and Jackiw. We thereby identify the topological excitations and…

High Energy Physics - Theory · Physics 2009-10-22 M. C. Diamantini , P. Sodano , C. A. Trugenberger

We compute the instanton expansions of the holomorphic couplings in the effective action of certain $\cx N=1$ supersymmetric four-dimensional open string vacua. These include the superpotential $W(\phi)$, the gauge kinetic function…

High Energy Physics - Theory · Physics 2007-05-23 P. Mayr

The data of a "2D field theory with a closed string compactification" is an equivariant chain level action of a cell decomposition of the union of all moduli spaces of punctured Riemann surfaces with each component compactified as a…

Geometric Topology · Mathematics 2007-10-24 Dennis Sullivan

In this paper we consider Type I string theory compactified on a Z_7 orbifold. The model has N=1 supersymmetry, a U(4) \otimes U(4) \otimes U(4) \otimes SO(8) gauge group, and chiral matter. There are only D9-branes (for which we discuss…

High Energy Physics - Theory · Physics 2010-11-19 Zurab Kakushadze , Gary Shiu

The field content of the two dimensional string theory consists of the dynamical tachyon field and some nonpropagating fields which consist in the topological sector of this theory. We propose in this paper to study this topological sector…

High Energy Physics - Theory · Physics 2008-02-03 Miao Li

It is well known that string theory has a T-duality symmetry relating circle compactifications of large and small radius. This symmetry plays a foundational role in string theory. We note here that while T-duality is order two acting on the…

High Energy Physics - Theory · Physics 2018-07-04 Jeffrey A. Harvey , Gregory W. Moore

The influence of world-sheet boundary condensates on the toroidal compactification of bosonic string theories is considered. At the special points in the moduli space at which the closed-string theory possesses an enhanced unbroken $G\times…

High Energy Physics - Theory · Physics 2009-07-09 Michael B. Green , Michael Gutperle

We define new topological theories related to sigma models whose target space is a 7 dimensional manifold of G_2 holonomy. We show how to define the topological twist and identify the BRST operator and the physical states. Correlation…

High Energy Physics - Theory · Physics 2015-06-26 Jan de Boer , Asad Naqvi , Assaf Shomer

Nonperturbative terms in the free energy of Chern-Simons gauge theory play a key role in its duality to the closed topological string. We show that these terms are reproduced by performing a double scaling limit near the point where the…

High Energy Physics - Theory · Physics 2010-12-03 Sumit R. Das , Cesar Gomez

A systematic construction of superstring scattering amplitudes for $N$ massless NS bosons to two loop order is given, based on the projection of supermoduli space onto super period matrices used earlier for the superstring measure in the…

High Energy Physics - Theory · Physics 2016-09-06 Eric D'Hoker , D. H. Phong