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We study a class of D=11 BPS spacetimes that describe M-branes wrapping supersymmetric 2 and 4-cycles of Calabi-Yau 3-folds. We analyze the geometrical significance of the supersymmetry constraints and gauge field equations of motion for…

High Energy Physics - Theory · Physics 2009-11-10 David Kastor

We derive an approximate analytic relation between the number of consistent heterotic Calabi-Yau compactifications of string theory with the exact charged matter content of the standard model of particle physics and the topological data of…

High Energy Physics - Theory · Physics 2019-04-03 Andrei Constantin , Yang-Hui He , Andre Lukas

We find a direct relation between quiver representation theory and open topological string theory on a class of toric Calabi-Yau manifolds without compact four-cycles, also referred to as strip geometries. We show that various quantities…

High Energy Physics - Theory · Physics 2020-05-25 Miłosz Panfil , Piotr Sułkowski

We study the relation between c=1 matrix models at self-dual radii and topological strings on non-compact Calabi-Yau manifolds. In particular the special case of the deformed matrix model is investigated in detail. Using recent results on…

High Energy Physics - Theory · Physics 2008-11-26 Ulf H. Danielsson , Martin E. Olsson , Marcel Vonk

We calculate the string loop corrections to the tachyon potential for stable non-BPS Dp-branes on the orbifold T^4/Z_2. We find a non-trivial phase structure and we show that, after tachyon condensation, the non-BPS Dp-branes are attracted…

High Energy Physics - Theory · Physics 2010-02-03 N. D. Lambert , I. Sachs

We derive stability conditions for the critical points of the no-scale scalar potential governing the dynamics of the complex structure moduli and the axio-dilaton in compactifications of type IIB string theory on Calabi-Yau three-folds. We…

High Energy Physics - Theory · Physics 2008-11-26 Katrin Becker , Yu-Chieh Chung , Guangyu Guo

We extend the direct integration method of the holomorphic anomaly equations to general Omega backgrounds for pure SU(2) N=2 Super-Yang-Mills theory and topological string theory on non-compact Calabi-Yau threefolds. We find that an…

High Energy Physics - Theory · Physics 2010-09-07 Min-xin Huang , Albrecht Klemm

We construct the T duals of certain type IIA brane configurations with one compact dimension (elliptic models) which contain orientifold planes. These configurations realize four-dimensional $\NN=2$ finite field theories. For elliptic…

High Energy Physics - Theory · Physics 2009-10-09 J. Park , A. M. Uranga

We classify the possible bosonic and Type 0 unoriented string theories in two dimensions, and find their dual matrix(-vector) models. There are no RP^2 R-R tadpoles in any of the models, but many of them possess a massless tachyon tadpole.…

High Energy Physics - Theory · Physics 2009-11-10 Oren Bergman , Shinji Hirano

Simple examples are given of bundles on Calabi-Yau 3-folds satisfying 8 out of 9 conditions required for a realistic compactification of string theory to 4 dimensions.

Algebraic Geometry · Mathematics 2007-05-23 R. P. Thomas

The discrete tensorial charges carried by orientifold planes define n-gerbes in space-time. The simplest way to ensure a consistent string compactification is to require these gerbes to be flat. This results in expressions for the local…

High Energy Physics - Theory · Physics 2010-02-03 Arjan Keurentjes

We show that six-dimensional backgrounds that are T^2 bundle over a Calabi-Yau two-fold base are consistent smooth solutions of heterotic flux compactifications. We emphasize the importance of the anomaly cancellation condition which can…

High Energy Physics - Theory · Physics 2008-11-26 Katrin Becker , Melanie Becker , Ji-Xiang Fu , Li-Sheng Tseng , Shing-Tung Yau

The presence of RR and NS three-form fluxes in type IIB string compactification on a Calabi-Yau orientifold gives rise to a nontrivial superpotential W for the dilaton and complex structure moduli. This superpotential is computable in terms…

High Energy Physics - Theory · Physics 2009-11-10 Alexander Giryavets , Shamit Kachru , Prasanta K. Tripathy , Sandip P. Trivedi

We evaluate string one-loop contributions to the Kahler metric of closed string moduli in toroidal minimally supersymmetric (Calabi-Yau) orientifolds with D-branes. We focus on the poorly understood N=1 sectors that receive contributions…

High Energy Physics - Theory · Physics 2014-12-16 Marcus Berg , Michael Haack , Jin U. Kang , Stefan Sjors

We identify a deformation of the N=2 supersymmetric sigma model on a Calabi-Yau manifold X which has the same effect on B-branes as a noncommutative deformation of X. We show that for hyperkahler X such deformations allow one to interpolate…

High Energy Physics - Theory · Physics 2015-06-26 Anton Kapustin

We study various aspects of orientifold projections of Type IIB closed string theory on Gepner points in different dimensions. The open string sector is introduced, in the usual constructive way, in order to cancel RR charges carried by…

High Energy Physics - Theory · Physics 2009-11-10 Gerardo Aldazabal , Eduardo C. Andrés , Mauricio Leston , Carmen Núñez

We develop a non planar topological vertex formalism and we use it to study the A-model partition function $\mathcal{Z}_{top}$ of topological string on the class of toric Calabi-Yau threefolds (CY3) in large complex structure limit. To that…

High Energy Physics - Theory · Physics 2009-03-12 Lalla Btissam Drissi , Houda Jehjouh , El Hassan Saidi

We study novel type IIB compactifications on the T^6/Z_2 orientifold. This geometry arises in the T-dual description of Type I theory on T^6, and one normally introduces 16 space-filling D3-branes to cancel the RR tadpoles. Here, we cancel…

High Energy Physics - Theory · Physics 2009-11-07 Shamit Kachru , Michael Schulz , Sandip Trivedi

We show that questions concerning the topological B-model on a Calabi-Yau manifold in the Landau-Ginzburg phase can be rephrased in the language of commutative algebra. This yields interesting and very practical methods for analyzing the…

High Energy Physics - Theory · Physics 2007-05-23 Paul S. Aspinwall

We discuss perturbative four-dimensional compactifications of both the SO(32) heterotic and the Type I string on smooth Calabi-Yau manifolds endowed with general non-abelian and abelian bundles. We analyse the generalized Green-Schwarz…

High Energy Physics - Theory · Physics 2009-11-11 Ralph Blumenhagen , Gabriele Honecker , Timo Weigand