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In this paper, we study the degeneration and stability of K\"ahler structures on Calabi--Yau manifolds, namely compact K\"ahler manifolds with trivial canonical bundles, from the viewpoint of deformation theory and Hodge theory. Using the…

Algebraic Geometry · Mathematics 2026-05-19 Kefeng Liu , Yang Shen

We explicitly construct all supersymmetric flux vacua of a particular Calabi-Yau compactification of type IIB string theory for a small number of flux carrying cycles and a given D3-brane tadpole. The analysis is performed in the large…

High Energy Physics - Theory · Physics 2015-06-12 Danny Martinez-Pedrera , Dhagash Mehta , Markus Rummel , Alexander Westphal

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

In Calabi-Yau fourfold compactifications of M-theory with flux, we investigate the possibility of partial supersymmetry breaking in the three-dimensional effective theory. To this end, we place the effective theory in the framework of…

High Energy Physics - Theory · Physics 2010-11-19 Marcus Berg , Michael Haack , Henning Samtleben

The four-dimensional effective theory for type IIB warped flux compactifications proposed in [1] is completed by taking into account the backreaction of the K\"ahler moduli on the three-form fluxes. The only required modification consists…

High Energy Physics - Theory · Physics 2017-02-01 Luca Martucci

We derive the 3D N=1 superpotential for the closed string sector of type IIB supergravity on toroidal O5 orientifolds with co-calibrated G2 structure and RR background flux. We find that such compactifications can provide full closed string…

High Energy Physics - Theory · Physics 2023-01-11 Maxim Emelin , Fotis Farakos , George Tringas

We present a method for explicitly computing the non-perturbative superpotentials associated with the vector bundle moduli in heterotic superstrings and M-theory. This method is applicable to any stable, holomorphic vector bundle over an…

High Energy Physics - Theory · Physics 2011-08-03 Evgeny I. Buchbinder , Ron Donagi , Burt A. Ovrut

We study R^4 corrections in heterotic M-theory. We derive to order kappa^{4/3} the induced modification to the Kahler potential of the universal moduli and its implications for the soft supersymmetry breaking terms. The soft scalar field…

High Energy Physics - Theory · Physics 2010-04-05 Lilia Anguelova , Diana Vaman

We study cosmological inflation within a recently proposed framework of perturbative moduli stabilisation in type IIB/F theory compactifications on Calabi-Yau threefolds. The stabilisation mechanism utilises three stacks of magnetised…

High Energy Physics - Theory · Physics 2019-04-05 Ignatios Antoniadis , Yifan Chen , George K. Leontaris

The possible existence of (meta-) stable de Sitter vacua in string theory is of fundamental importance. So far, there are no fully stable solutions where all effects are under perturbative control. In this paper we investigate the presence…

High Energy Physics - Theory · Physics 2013-12-09 Ulf Danielsson , Giuseppe Dibitetto

We derive an approximate analytic relation between the number of consistent heterotic Calabi-Yau compactifications of string theory with the exact charged matter content of the standard model of particle physics and the topological data of…

High Energy Physics - Theory · Physics 2019-04-03 Andrei Constantin , Yang-Hui He , Andre Lukas

Motivated by the recently proposed bounds on the slow-roll parameters for scalar potentials arising from string/M-theory compactifications, a.k.a. the Refined de Sitter Swampland conjecture, we explore the sharpness of such constraints…

High Energy Physics - Theory · Physics 2018-10-29 Johan Blåbäck , Ulf Danielsson , Giuseppe Dibitetto

We study the geometry of the scalar manifolds emerging in the no-scale sector of Kahler moduli and matter fields in generic Calabi-Yau string compactifications, and describe its implications on scalar masses. We consider both heterotic and…

High Energy Physics - Theory · Physics 2014-01-29 Daniel Farquet , Claudio A. Scrucca

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…

High Energy Physics - Theory · Physics 2009-11-10 J. Gillard , G. Papadopoulos , D. Tsimpis

We discuss perturbative four-dimensional compactifications of both the SO(32) heterotic and the Type I string on smooth Calabi-Yau manifolds endowed with general non-abelian and abelian bundles. We analyse the generalized Green-Schwarz…

High Energy Physics - Theory · Physics 2009-11-11 Ralph Blumenhagen , Gabriele Honecker , Timo Weigand

I discuss some aspects of the moduli space of hyper-K{\"a}hler four-fold compactifications of type II and ${\cal M}$- theories. The dimension of the moduli space of these theories is strictly bounded from above. As an example I study…

High Energy Physics - Theory · Physics 2010-10-27 Ram Sriharsha

We compute the potential energy for the dilaton, complex structure and Kahler moduli and search of realistic vacua of heterotic M-theory compactified on Calabi-Yau threefolds. We present a protocol for deriving the potential that combines…

High Energy Physics - Theory · Physics 2024-05-15 Cédric Deffayet , Burt A. Ovrut , Paul J. Steinhardt

We study the possibility of achieving metastable de Sitter vacua in general N=2 to N=1 truncated supergravities without vector multiplets, and compare with the situations arising in N=2 theories with only hypermultiplets and N=1 theories…

High Energy Physics - Theory · Physics 2015-06-11 Francesca Catino , Claudio A. Scrucca , Paul Smyth

We study string compactifications with sixteen supersymmetries. The moduli space for these compactifications becomes quite intricate in lower dimensions, partly because there are many different irreducible components. We focus primarily,…

High Energy Physics - Theory · Physics 2007-05-23 Jan de Boer , Robbert Dijkgraaf , Kentaro Hori , Arjan Keurentjes , John Morgan , David R. Morrison , Savdeep Sethi

We show that one can find de Sitter critical points (saddle points) in models of flux compactification of Type IIB String Theory without any uplifting terms and in the presence of several moduli. We demonstrate this by giving explicit…

High Energy Physics - Theory · Physics 2019-02-20 Jose J. Blanco-Pillado , Mikel A. Urkiola , Jeremy M. Wachter
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