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We probe a slice of the massive winding sector of bosonic string theory from toroidal compactifications of Double Field Theory (DFT). This string subsector corresponds to states containing one left and one right moving oscillators. We…

High Energy Physics - Theory · Physics 2017-04-05 Gerardo Aldazabal , Martín Mayo , Carmen Nuñez

An argument of A.Borel shows that every compact connected Lie group is homeomorphic to the Cartesian product of its derived subgroup and a torus. We prove a parallel result for definably compact definably connected groups definable in an…

Logic · Mathematics 2011-10-25 Marcello Mamino

We find nonlocal particle theories with two dimensional conformal symmetry, including examples equivalent to the bosonic open string and closed string. This work provides a new approach to construct solvable consistent backgrounds in string…

High Energy Physics - Theory · Physics 2009-01-08 Tai-Chung Cheng , Pei-Ming Ho , Tze-Kei Lee

We classify real Poisson structures on complex toric manifolds of type $(1,1)$ and initiate an investigation of their Poisson cohomology. For smooth toric varieties, such structures are necessarily algebraic and are homogeneous quadratic in…

Differential Geometry · Mathematics 2017-04-07 Arlo Caine , Berit Nilsen Givens

This paper studies compactifications of moduli spaces involving closed Riemann surfaces. The first main result identifies the homeomorphism types of these compactifications. The second main result introduces orbicell decompositions on these…

Geometric Topology · Mathematics 2015-05-27 Javier Zúñiga

We study the compactification of the $(2,0)$ and type-II little-string theories on $S^1$, $T^2$ and $T^3$ with an R-symmetry twist that preserves half the supersymmetry. We argue that it produces the same moduli spaces of vacua as…

High Energy Physics - Theory · Physics 2009-10-31 Yeuk-Kwan E. Cheung , Ori J. Ganor , Morten Krogh

In this paper, we elaborate ring theoretic properties of nodal orders. In particular, we prove that they are closed under taking crossed products with finite groups.

Representation Theory · Mathematics 2024-06-05 Igor Burban , Yuriy Drozd

We give a short review of a large class of warped string geometries, obtained via F-theory compactified on Calabi-Yau fourfolds, that upon reduction to 5 dimensions give consistent supersymmetric realizations of the RS compactification…

High Energy Physics - Theory · Physics 2010-04-06 Chang S. Chan , Percy L. Paul , Herman Verlinde

We obtain exact results in \alpha' for open and closed A-model topological string amplitudes on a large class of toric Calabi-Yau threefolds by using their correspondence with five dimensional gauge theories. The toric Calabi-Yau's that we…

High Energy Physics - Theory · Physics 2014-11-18 Andrea Brini , Alessandro Tanzini

Noncompact groups, similar to those that appeared in various supergravity theories in the 1970's, have been turning up in recent studies of string theory. First it was discovered that moduli spaces of toroidal compactification are given by…

High Energy Physics - Theory · Physics 2010-11-01 Jnan Maharana , John H. Schwarz

Discrete symmetries allowed in string compactification are the mother of all global symmetries which are broken at some level. We discuss the resulting pseudo-Goldstone bosons, in particular the QCD axion and a temporary cosmological…

High Energy Physics - Phenomenology · Physics 2014-10-21 Jihn E. Kim

A toric variety is a normal complex variety which is completely described by combinatorial data, namely by a fan of strongly convex rational (with respect to a lattice) cones. Due to this rationality condition, toric varieties are…

Algebraic Geometry · Mathematics 2023-07-18 Antoine Boivin

We summarize recent progress in constructing orientifolds of Gepner models, a phenomenologically interesting class of exactly solvable string compactifications with viable gauge groups and chiral matter.

High Energy Physics - Theory · Physics 2007-05-23 R. Blumenhagen , T. Weigand

In this paper we consider the interrelation between compactified string theories on torus and gauge fields on it. We start from open string theories with background gauge fields and derive partition functions by path integral. Since the…

High Energy Physics - Theory · Physics 2014-09-25 Atsushi Nakamula , Kiyoshi Shiraishi

In this paper, we continue the analysis of heterotic string compactifications on half-flat mirror manifolds by including the 10-dimensional gauge fields. It is argued, that the heterotic Bianchi identity is solved by a variant of the…

High Energy Physics - Theory · Physics 2009-11-18 Sebastien Gurrieri , Andre Lukas , Andrei Micu

The space of smooth curves admits a beautiful compactification by the moduli space of Deligne-Mumford stable curves. In this paper, we undertake a systematic investigation of alternate modular compactifications of the space of smooth…

Algebraic Geometry · Mathematics 2009-12-02 David Ishii Smyth

We present scattering of stringy states of closed bosonic string compactified on d-dimensional torus. We focus our attention on scattering of moduli and gauge bosons. These states appear when massless excitations such as graviton and…

High Energy Physics - Theory · Physics 2015-12-09 Jnanaveda Maharana

In recent years methods for the integration of Poisson manifolds and of Lie algebroids have been proposed, the latter being usually presented as a generalization of the former. In this note it is shown that the latter method is actually…

Symplectic Geometry · Mathematics 2015-06-26 Alberto S. Cattaneo

It is known that string theory compactifications leading to low energy effective theories with different chiral matter content ({\it e.g.} different numbers of standard model generations) are connected through phase transitions, described…

High Energy Physics - Theory · Physics 2009-11-10 M. R. Douglas , C-G. Zhou

This is the first of a series of three papers on open string field theories based on Witten star product deformed with a gauge invariant open/closed coupling. This deformation is a tree-level tadpole which destabilizes the initial…

High Energy Physics - Theory · Physics 2021-09-29 Carlo Maccaferri , Jakub Vošmera