Parallel spinors and connections with skew-symmetric torsion in string theory
T Friedrich, S Ivanov - arXiv preprint math/0102142, 2001 - arxiv.org
We describe all almost contact metric, almost hermitian and $ G_2 $-structures admitting a
connection with totally skew-symmetric torsion tensor, and prove that there exists at most …
connection with totally skew-symmetric torsion tensor, and prove that there exists at most …
Superstrings with intrinsic torsion
We analyze the necessary and sufficient conditions for the preservation of supersymmetry
for bosonic geometries of the form R 1, 9− d× M d, in the common Neveu-Schwarz–Neveu …
for bosonic geometries of the form R 1, 9− d× M d, in the common Neveu-Schwarz–Neveu …
structures, fluxes, and calibrations in M theory
D Martelli, J Sparks - Physical Review D, 2003 - APS
We study the most general supersymmetric warped M-theory backgrounds with a non-trivial
G flux of the type R 1, 2× M 8 and AdS 3× M 8. We give a set of necessary and sufficient …
G flux of the type R 1, 2× M 8 and AdS 3× M 8. We give a set of necessary and sufficient …
Deformations of G2 and Spin (7) structures
S Karigiannis - Canadian journal of mathematics, 2005 - cambridge.org
Deformations of G2 and Spin(7) Structures Page 1 Canad. J. Math. Vol. 57 (5), 2005 pp.
1012–1055 Deformations of G2 and Spin(7) Structures Spiro Karigiannis Abstract. We …
1012–1055 Deformations of G2 and Spin(7) Structures Spiro Karigiannis Abstract. We …
Killing spinor equations in dimension 7 and geometry of integrable G2-manifolds
T Friedrich, S Ivanov - Journal of Geometry and Physics, 2003 - Elsevier
We compute the scalar curvature of seven-dimensional G2-manifolds admitting a G2-
connection with totally skew-symmetric torsion. We prove the formula for the general solution …
connection with totally skew-symmetric torsion. We prove the formula for the general solution …
On supersymmetric AdS3 solutions of Type II
A Passias, D Prins - Journal of High Energy Physics, 2021 - Springer
A bstract We classify supersymmetric warped AdS 3× w M 7 backgrounds of Type IIA and
Type IIB supergravity with non-constant dilaton, generic RR fluxes and magnetic NSNS flux …
Type IIB supergravity with non-constant dilaton, generic RR fluxes and magnetic NSNS flux …
Geometric transitions, flops and non-Kähler manifolds: I
M Becker, K Dasgupta, A Knauf, R Tatar - Nuclear Physics B, 2004 - Elsevier
We construct a duality cycle which provides a complete supergravity description of
geometric transitions in type II theories via a flop in M-theory. This cycle connects the …
geometric transitions in type II theories via a flop in M-theory. This cycle connects the …
The Infinitesimal Moduli Space of Heterotic G 2 Systems
Heterotic string compactifications on integrable G 2 structure manifolds Y with instanton
bundles (V, A),(TY, ̃ θ)(V, A),(TY, θ~) yield supersymmetric three-dimensional vacua that are …
bundles (V, A),(TY, ̃ θ)(V, A),(TY, θ~) yield supersymmetric three-dimensional vacua that are …
SU(3)-Instantons and G2,Spin(7)-Heterotic String Solitons
Necessary and sufficient conditions to the existence of a hermitian connection with totally
skew-symmetric torsion and holonomy contained in SU (3) are given. A formula for the …
skew-symmetric torsion and holonomy contained in SU (3) are given. A formula for the …
The Geometry and Superconformal Algebras of String Compactifications with a -structure
M Galdeano - arXiv preprint arXiv:2212.13781, 2022 - arxiv.org
In this thesis we study string compactifications on manifolds equipped with a $ G $-structure,
placing a special emphasis on the interplay between geometry and physics. We follow two …
placing a special emphasis on the interplay between geometry and physics. We follow two …