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We propose a construction of K\"ahler and non-K\"ahler Calabi-Yau manifolds by branched double covers of twistor spaces. In this construction we use the twistor spaces of four-manifolds with self-dual conformal structures, with the examples…

高能物理 - 理论 · 物理学 2018-03-06 Hai Lin , Baosen Wu , Shing-Tung Yau

We study a standard-embedding $N=2$ heterotic string compactification on $K3\times T^2$ with a Wilson line turned on and perform a world-sheet calculation of string threshold correction. The result can be expressed in terms of the…

高能物理 - 理论 · 物理学 2009-10-28 Toshiya Kawai

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…

高能物理 - 理论 · 物理学 2009-10-30 Paul S. Aspinwall , Mark Gross

We describe a new class of instanton effects in string compactifications that preserve only N=1 supersymmetry in four dimensions. As is well-known, worldsheet or brane instantons in such a background can sometimes contribute to an effective…

高能物理 - 理论 · 物理学 2010-04-07 Chris Beasley , Edward Witten

These are notes based on lectures given at TASI99. We review the geometry of the moduli space of N=2 theories in four dimensions from the point of view of superstring compactification. The cases of a type IIA or type IIB string compactified…

高能物理 - 理论 · 物理学 2007-05-23 Paul S. Aspinwall

We review recent progress in understanding non-perturbative instanton corrections to the hypermultiplet moduli space in type II string compactifications on Calabi-Yau threefolds.

高能物理 - 理论 · 物理学 2008-11-26 Frank Saueressig

We present some results on instanton corrections to the hypermultiplet moduli space in Calabi-Yau compactifications of Type II string theories. Previously, using twistor methods, only a class of D-instantons (D2-instantons wrapping…

高能物理 - 理论 · 物理学 2013-05-13 Sergei Alexandrov

We consider the general case of N=2 dual pairs of type IIA/heterotic string theories in four dimensions. We show that if the type IIA string in this pair can be viewed as having been compactified on a Calabi-Yau manifold in the usual way…

高能物理 - 理论 · 物理学 2019-08-15 Paul S. Aspinwall , Jan Louis

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…

高能物理 - 理论 · 物理学 2009-10-30 Eva Silverstein

This thesis contributes with a number of topics to the subject of string compactifications. In the first half of the work, I discuss the Hodge plot of Calabi-Yau threefolds realised as hypersurfaces in toric varieties. The intricate…

高能物理 - 理论 · 物理学 2018-09-28 Andrei Constantin

The metric on the hypermultiplet moduli space of Calabi-Yau compactifications of type II string theory is known to receive D-brane and NS5-brane instanton corrections. We compute explicit expressions for these corrections in the…

高能物理 - 理论 · 物理学 2025-07-14 Sergei Alexandrov , Khalil Bendriss

Compactifications of heterotic string theory on Generalized Calabi-Yau manifolds have been expected to give the same type of flexibility that type IIB compactifications on Calabi-Yau orientifolds have. In this note we generalize the work…

高能物理 - 理论 · 物理学 2010-02-19 S. P. de Alwis

To understand in detail the contribution of a world-sheet instanton to the superpotential in a heterotic string compactification, one has to understand the moduli dependence (bundle and complex structure moduli) of the one-loop determinants…

高能物理 - 理论 · 物理学 2009-10-02 Gottfried Curio

We find the D(-1) and D1-brane instanton contributions to the hypermultiplet moduli space of type IIB string compactifications on Calabi-Yau threefolds. These combine with known perturbative and worldsheet instanton corrections into a…

高能物理 - 理论 · 物理学 2008-11-26 Daniel Robles-Llana , Martin Rocek , Frank Saueressig , Ulrich Theis , Stefan Vandoren

We compute the corrections to heterotic-string backgrounds with (2,0) world-sheet supersymmetry, up to two loops in sigma-model perturbation theory. We investigate the conditions for these backgrounds to preserve spacetime supersymmetry and…

高能物理 - 理论 · 物理学 2009-11-10 J. Gillard , G. Papadopoulos , D. Tsimpis

The c-map relates classical hypermultiplet moduli spaces in compactifications of type II strings on a Calabi-Yau threefold to vector multiplet moduli spaces via a further compactification on a circle. We give an off-shell description of the…

高能物理 - 理论 · 物理学 2009-11-11 Martin Rocek , Cumrun Vafa , Stefan Vandoren

The hypermultiplet moduli space M_H in type II string theories compactified on a Calabi-Yau threefold X is largely constrained by supersymmetry (which demands quaternion-K\"ahlerity), S-duality (which requires an isometric action of SL(2,…

高能物理 - 理论 · 物理学 2015-03-30 Sergei Alexandrov , Jan Manschot , Daniel Persson , Boris Pioline

Using constraints from supersymmetry and string perturbation theory, we determine the string loop corrections to the hypermultiplet moduli space of type II strings compactified on a generic Calabi-Yau threefold. The corresponding…

高能物理 - 理论 · 物理学 2009-11-11 Daniel Robles-Llana , Frank Saueressig , Stefan Vandoren

We study limits of infinite distance in the moduli space of 4d $\mathcal{N} = 2$ string compactifications, in which instanton effects dominate. We first consider trajectories in the hypermultiplet moduli space of type IIB Calabi-Yau…

高能物理 - 理论 · 物理学 2020-05-20 Florent Baume , Fernando Marchesano , Max Wiesner

We consider type II and heterotic string compactifications on an isolated singularity in the noncompact Gepner model approach. The conifold-type ADE noncompact Calabi-Yau threefolds, as well as the ALE twofolds, are modeled by a tensor…

高能物理 - 理论 · 物理学 2009-11-13 Shun'ya Mizoguchi