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These are lecture notes on non-K\"ahler complex threefolds presented at the MATRIX program ``The geometry of moduli spaces in string theory''. We review some basics of Calabi-Yau geometry in Section 1, describe topological features of the…

Differential Geometry · Mathematics 2025-02-03 Sébastien Picard

We consider alpha'-corrections to Calabi-Yau compactifications of type II string theory. These were discussed from the string worldsheet approach many years ago in terms of supersymmetric non-linear sigma-models by Nemeschansky and Sen as…

High Energy Physics - Theory · Physics 2015-10-21 Katrin Becker , Melanie Becker , Daniel Robbins

We study quantum effects in five dimensions in heterotic superstring theory compactified on K_3 x S_1 and analyze the conjecture that its dual effective theory is eleven-dimensional supergravity compactified on a Calabi-Yau threefold. This…

High Energy Physics - Theory · Physics 2011-05-05 I. Antoniadis , S. Ferrara , T. R. Taylor

We compute the contribution of Euclidean D-branes in type IIB string theory on Calabi-Yau threefolds to the metric on the hypermultiplet moduli space in the large volume, weak coupling limit. Our results are in perfect agreement with the…

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

We discuss prospects for stabilizing the volume modulus of N=1 supersymmetric type IIB orientifold compactifications using only perturbative corrections to the Kahler potential. Concretely, we consider the known string loop corrections and…

High Energy Physics - Theory · Physics 2013-05-29 Marcus Berg , Michael Haack , Boris Kors

The compactification of type IIA superstring on n-dimensional Calabi-Yau manifolds is discussed. In particular, a conjecture is given for type IIA extremal p-dimensional black brane attractors corresponding to Ads_{p+2}\times S^{8-2n-p}…

High Energy Physics - Theory · Physics 2009-04-07 Adil Belhaj

We study compactifications of type IIA string theory on Calabi-Yau manifolds that are mirror to a subset of the type IIB LARGE-volume models. A combination of flux, alpha' corrections and non-perturbative effects stabilises the moduli in a…

High Energy Physics - Theory · Physics 2009-12-04 Eran Palti , Gianmassimo Tasinato , John Ward

Finding the exact, quantum corrected metric on the hypermultiplet moduli space in Type II string compactifications on Calabi-Yau threefolds is an outstanding open problem. We address this issue by relating the quaternionic-Kahler metric on…

High Energy Physics - Theory · Physics 2009-03-12 Sergei Alexandrov , Boris Pioline , Frank Saueressig , Stefan Vandoren

In a recent paper, we derived the leading alpha' corrections to the Kahler potentials for moduli in (0,2) heterotic compactifications. In the same spirit as the LARGE volume stabilization scenario for type IIB orientifolds, we examine…

High Energy Physics - Theory · Physics 2014-12-19 Lilia Anguelova , Callum Quigley

Moduli stabilisation in superstring compactifications on Calabi-Yau orientifolds remains a key challenge in the search for realistic string vacua. In particular, odd moduli arising from the reduction of 2-forms $(B_2,C_2)$ in type IIB are…

High Energy Physics - Theory · Physics 2022-04-29 Michele Cicoli , Andreas Schachner , Pramod Shukla

At the leading order, the low-energy effective field equations in string theory admit solutions of the form of products of Minkowski spacetime and a Ricci-flat Calabi-Yau space. The equations of motion receive corrections at higher orders…

High Energy Physics - Theory · Physics 2009-11-10 H. Lu , C. N. Pope , K. S. Stelle

We obtain the vacuum solutions for M-theory compactified on eight-manifolds with non-vanishing four-form flux by analyzing the scalar potential appearing in the three-dimensional theory. Many of these vacua are not supersymmetric and yet…

High Energy Physics - Theory · Physics 2014-11-18 Katrin Becker , Melanie Becker , Michael Haack , Jan Louis

We study the quantum volume of D-branes wrapped around various cycles in Calabi-Yau manifolds, as the manifold's moduli are varied. In particular, we focus on the behaviour of these D-branes near phase transitions between distinct low…

High Energy Physics - Theory · Physics 2009-10-31 Brian R. Greene , C. I. Lazaroiu

We investigate quantum corrections to the effective action of the universal hypermultiplet in the language of projective superspace. We rederive the recently found one-loop correction to the universal hypermultiplet moduli space geometry.…

High Energy Physics - Theory · Physics 2009-11-10 Lilia Anguelova , Martin Rocek , Stefan Vandoren

We study compactifications of type IIB supergravity on Calabi-Yau threefolds. The resulting low energy effective Lagrangian is displayed in the large volume limit and its symmetry properties - with specific emphasis on the SL(2,Z) - are…

High Energy Physics - Theory · Physics 2009-10-31 Robert Boehm , Holger Guenther , Carl Herrmann , Jan Louis

Looking for string vacua with fixed moduli, we study compactifications of type IIA string theory on Calabi-Yau fourfolds in the presence of generic Ramond-Ramond fields. We explicitly derive the (super)potential induced by Ramond-Ramond…

High Energy Physics - Theory · Physics 2015-06-26 Sergei Gukov , Michael Haack

We review recent work which has significantly sharpened our geometric understanding and interpretation of the moduli space of certain $N$=2 superconformal field theories. This has resolved some important issues in mirror symmetry and has…

High Energy Physics - Theory · Physics 2008-02-03 P. S. Aspinwall , B. R. Greene , D. R. Morrison

We construct a bi-linear form on the periods of Calabi-Yau spaces. These are used to obtain the prepotentials around conifold singularities in type-II strings compactified on Calabi-Yau space. The explicit construction of the bi-linear…

High Energy Physics - Theory · Physics 2014-11-18 T. Masuda , H. Suzuki

We study the diameters of axion moduli spaces, focusing primarily on type IIB compactifications on Calabi-Yau three-folds. In this case, we derive a stringent bound on the diameter in the large volume region of parameter space for…

High Energy Physics - Theory · Physics 2015-06-22 Tom Rudelius

We analyze the Neveu-Schwarz fivebrane instanton in type IIA string theory compactifications on rigid Calabi-Yau threefolds, in the low-energy supergravity approximation. It there appears as a finite action solution to the Euclidean…

High Energy Physics - Theory · Physics 2008-11-26 Marijn Davidse , Ulrich Theis , Stefan Vandoren