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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

After a short introduction to Matrix theory, we explain how can one generalize matrix models to describe toroidal compactifications of M-theory and the heterotic vacua with 16 supercharges. This allows us, for the first time in history, to…

High Energy Physics - Theory · Physics 2007-05-23 Lubos Motl

The condition of having an $N=1$ spacetime supersymmetry for heterotic string leads to 4 distinct possibilities for compactifications namely compactifications down to 6,4,3 and 2 dimensions. Compactifications to 6 and 4 dimensions have been…

High Energy Physics - Theory · Physics 2010-11-01 S. L. Shatashvili , C. Vafa

We consider the general case of a type IIA string compactified on a Calabi-Yau manifold which has a heterotic dual description. It is shown that the nonabelian gauge symmetries which can appear nonperturbatively in the type II string but…

High Energy Physics - Theory · Physics 2009-10-28 Paul S. Aspinwall

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

A revision of the torodial Kaluza-Klein compactification of the massless sector of the E(8)xE(8) heterotic string is given. Under the solvable Lie algebra gauge the dynamics of the O(p,q)/(O(p)xO(q)) symmetric space sigma model which is…

High Energy Physics - Theory · Physics 2007-05-23 Nejat Tevfik Yilmaz

We revisit the duality between heterotic string theory compactified on K3 x T^2 and type IIA compactified on a Calabi-Yau threefold X in the hypermultiplet sector. We derive an explicit map between the field variables of the respective…

High Energy Physics - Theory · Physics 2015-06-03 Jan Louis , Roberto Valandro

We attempt to find a rigorous formulation for the massive type IIA orientifold compactifications of string theory introduced in hep-th/0505160. An approximate double T-duality converts this background into IIA string theory on a twisted…

High Energy Physics - Theory · Physics 2010-10-27 T. Banks , K. van den Broek

The heterotic string theory, compactified to four dimensions, has been conjectured to have a duality symmetry (S duality) that transforms the dilaton nonlinearly. If valid, this symmetry could provide an important means of obtaining…

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

Two classes of stringy instanton effects, stronger than standard field theory instantons, are identified in the heterotic string theory. These contributions are established using type IIA/heterotic and type I/heterotic dualities. They…

High Energy Physics - Theory · Physics 2009-10-30 Eva Silverstein

Type IIA string theory compactified on a Calabi-Yau threefold has a hypermultiplet moduli space whose metric is known to receive non-perturbative corrections from Euclidean D2-branes wrapped on 3-cycles. These corrections have been computed…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Ashoke Sen , Bogdan Stefański

We suggest that compactifications on Anti-de-Sitter (AdS) spaces of type IIA, IIB, heterotic strings and eleven dimensional vacuua of M-theory are related by a combination of $T$ and strong/weak dualities. Maldacena conjecture relates then…

High Energy Physics - Theory · Physics 2007-05-23 Karim Benakli

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 find that the gas of IIA strings undergoes a phase transition into a gas of IIB strings at the self-dual temperature. A gas of free heterotic strings undergoes a Kosterlitz-Thouless duality transition with positive free energy and…

High Energy Physics - Theory · Physics 2007-05-23 Shyamoli Chaudhuri

A rich pattern of gauge symmetries is found in the moduli space of heterotic string toroidal compactifications, at fixed points of the T-duality transformations. We analyze this pattern for generic tori, and scrutinize in full detail…

High Energy Physics - Theory · Physics 2018-10-17 Bernardo Fraiman , Mariana Graña , Carmen A. Núñez

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 give necessary conditions for the existence of perturbative heterotic and common sector type II string warped compactifications preserving four and eight supersymmetries to four spacetime dimensions, respectively. In particular, we find…

High Energy Physics - Theory · Physics 2009-10-09 S. Ivanov , G. Papadopoulos

It has been conjectured that Little String Theories in six dimensions are holographic to critical string theory in a linear dilaton background. We test this conjecture for theories arising on the worldvolume of heterotic fivebranes. We…

High Energy Physics - Theory · Physics 2009-10-31 Martin Gremm , Anton Kapustin

We study a family of unstable heterotic string theories in more than ten dimensions which are connected via tachyon condensation to the ten-dimensional supersymmetric vacuum of heterotic string theory with gauge group SO(32). Calculating…

High Energy Physics - Theory · Physics 2007-05-23 Simeon Hellerman

We propose non-supersymmetric analogues of 6d N=2 Type II/heterotic dualities via a quotient of a K3 surface: an Enriques surface. We start from Type~II strings on a K3 surface and construct orbifold theories using an involution of K3. We…

High Energy Physics - Theory · Physics 2026-01-30 Arata Ishige
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