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Related papers: Chiral Multiplets in N=1 Dual String Pairs

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We present an explicit method for translating between the linear sigma model and the spectral cover description of SU(r) stable bundles over an elliptically fibered Calabi-Yau manifold. We use this to investigate the 4-dimensional duality…

High Energy Physics - Theory · Physics 2016-09-06 M. Bershadsky , T. M. Chiang , B. R. Greene , A. Johansen , C. I. Lazaroiu

We consider the heterotic string on an elliptic Calabi-Yau three-fold with five-branes wrapping curves in the base ('horizontal' curves) of the Calabi-Yau as well as some elliptic fibers ('vertical' curves). We show that in this generalized…

High Energy Physics - Theory · Physics 2009-10-31 Bjorn Andreas , Gottfried Curio

How likely is it that there are particles in a vector-like pair of representations in low-energy spectrum, when neither symmetry nor anomaly consideration motivates their presence? We address this question in the context of supersymmetric…

High Energy Physics - Theory · Physics 2018-03-05 Taizan Watari

A type IIA string compactified on a Calabi-Yau manifold which admits a K3 fibration is believed to be equivalent to a heterotic string in four dimensions. We study cases where a Calabi-Yau manifold can have more than one such fibration…

High Energy Physics - Theory · Physics 2009-10-30 Paul S. Aspinwall , Mark Gross

We construct, as hypersurfaces in toric varieties, Calabi-Yau manifolds corresponding to F-theory vacua dual to E8*E8 heterotic strings compactified to six dimensions on K3 surfaces with non-semisimple gauge backgrounds. These vacua were…

High Energy Physics - Theory · Physics 2009-10-30 Philip Candelas , Eugene Perevalov , Govindan Rajesh

We study, as hypersurfaces in toric varieties, elliptic Calabi-Yau fourfolds for F-theory compactifications dual to E8xE8 heterotic strings compactified to four dimensions on elliptic Calabi-Yau threefolds with some choice of vector bundle.…

High Energy Physics - Theory · Physics 2009-10-31 Govindan Rajesh

We formulate a twisted version of the conjectured duality between heterotic and type I string theories. Our formulation relates the chiral part of the heterotic string with a type I topological B-model on a Calabi-Yau five-fold. We provide…

High Energy Physics - Theory · Physics 2021-10-28 Kevin Costello , Brian R. Williams

We collect further evidence for the proposed duality between $N=2$ heterotic and type II string vacua in a specific model suggested by Kachru and Vafa. In the gauge sector the previous analysis is extended; it is further shown that the…

High Energy Physics - Theory · Physics 2009-10-28 Vadim Kaplunovsky , Jan Louis , Stefan Theisen

Tests of duality between heterotic strings on $K3\times T^2$ (restricted on certain Narain moduli subspaces) and type IIA strings on K3-fibered Calabi-Yau threefolds are attempted in the weak coupling regime on the heterotic side by…

High Energy Physics - Theory · Physics 2016-09-06 Toshiya Kawai

We study heterotic vacua with four supercharges in three and four space-time dimensions and their duals obtained as M/F-theory compactified on Calabi-Yau fourfolds. We focus on their respective moduli spaces and derive the Kahler potential…

High Energy Physics - Theory · Physics 2010-11-19 Michael Haack , Jan Louis

We construct two chains of fourdimensional F-theory/heterotic dual string pairs with N=1 supersymmetry. On the F-theory side as well as on the heterotic side the geometry of the involved manifolds relies on del Pezzo surfaces. We match the…

High Energy Physics - Theory · Physics 2009-10-07 B. Andreas , G. Curio , D. Lust

We consider four dimensional heterotic compactifications on smooth elliptic Calabi-Yau threefolds. Using spectral cover techniques, we study bundle cohomology groups corresponding to charged matter multiplets. The analysis shows that in…

High Energy Physics - Theory · Physics 2010-02-03 Duiliu-Emanuel Diaconescu , Gheorghe Ionesei

We study compactifications of F-theory on certain Calabi--Yau threefolds. We find that $N=2$ dualities of type II/heterotic strings in 4 dimensions get promoted to $N=1$ dualities between heterotic string and F-theory in 6 dimensions. The…

High Energy Physics - Theory · Physics 2009-10-30 David R. Morrison , Cumrun Vafa

In this note we compare the moduli spaces of the heterotic string compactified on a two-torus and F-Theory compactified on an elliptic K3 surface for the case of an unbroken E8 x E8 gauge group. The explicit map relating the deformation…

High Energy Physics - Theory · Physics 2009-10-07 Gabriel Lopes Cardoso , Gottfried Curio , Dieter Lust , Thomas Mohaupt

Hypermultiplet couplings in type IIA string theory on a Calabi-Yau space can be quantum corrected by D2-brane instantons wrapping special Lagrangian cycles. On the other hand, hypermultiplet couplings in the heterotic string on a K3 surface…

High Energy Physics - Theory · Physics 2008-11-26 Nick Halmagyi , Ilarion V. Melnikov , Savdeep Sethi

Techniques are presented for computing the cohomology of stable, holomorphic vector bundles over elliptically fibered Calabi-Yau threefolds. These cohomology groups explicitly determine the spectrum of the low energy, four-dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Ron Donagi , Yang-Hui He , Burt A. Ovrut , Rene Reinbacher

We study the charged chiral matter spectrum of four-dimensional F-theory compactifications on elliptically fibered Calabi-Yau fourfolds by using the dual M-theory description. A chiral spectrum can be induced by M-theory four-form flux on…

High Energy Physics - Theory · Physics 2015-06-03 Thomas W. Grimm , Hirotaka Hayashi

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

We show that certain superpotential and Kahler potential couplings of N=1 supersymmetric compactifications with branes or bundles can be computed from Hodge theory and mirror symmetry. This applies to F-theory on a Calabi-Yau four-fold and…

High Energy Physics - Theory · Physics 2011-09-16 Hans Jockers , Peter Mayr , Johannes Walcher

We construct more dual pairs of type II-heterotic strings in four dimensions with $N=2,1$ spacetime supersymmetry. On the type II side the construction utilizes the various possible choices of K3 automorphisms with fixed points which…

High Energy Physics - Theory · Physics 2015-06-26 H. B. Gao