activity
20092022
most citedAll Complete Intersection Calabi-Yau Four-Folds

79 citations · 258 across the 12 of their papers we have counts for

collaborators

12 papers

math.DG2022

Classification of left-invariant Einstein metrics on that are bi-invariant under a one-parameter subgroup

Vicente Cortés, Jeremias Ehlert, Alexander S. Haupt +1

We classify all left-invariant pseudo-Riemannian Einstein metrics on that are bi-invariant under a one-parameter subgrou…

hep-th2018★ 14 cited

A non-existence theorem for N>16 supersymmetric AdS3 backgrounds

A. S. Haupt, S. Lautz, G. Papadopoulos

We show that there are no smooth warped AdS solutions in 10- and 11-dimensional supergravities which preserve strictly more than 16 supersymmetries and have internal space a co…

hep-th2017★ 9 cited

AdS4 backgrounds with N>16 supersymmetries in 10 and 11 dimensions

A. S. Haupt, S. Lautz, G. Papadopoulos

We explore all warped backgrounds with the most general allowed fluxes that preserve more than 16 supersymmetries in - and -dimensional supergravi…

math.DG2017★ 6 cited

Left-invariant Einstein metrics on

Florin Belgun, Vicente Cortés, Alexander S. Haupt +1

The classification of homogeneous compact Einstein manifolds in dimension six is an open problem. We consider the remaining open case, namely left-invariant Einstein metrics on…

math-ph2016★ 32 cited

Lecture Notes on Mathematical Methods of Classical Physics

Vicente Cortés, Alexander S. Haupt

These notes grew out of a lecture course on mathematical methods of classical physics for students of mathematics and mathematical physics at the master's level. Also, physicists w…

hep-th2015★ 2 cited

Yang-Mills solutions and Spin(7)-instantons on cylinders over coset spaces with -structure

Alexander S. Haupt

We study -valued Yang-Mills fields on cylinders , where G/H is a compact seven-dimensional coset space with -structure, $\mathfrak{…

hep-th2014★ 12 cited

Order heterotic domain walls with warped nearly Kähler geometry

Alexander S. Haupt, Olaf Lechtenfeld, Edvard T. Musaev

We consider 1+3-dimensional domain wall solutions of heterotic supergravity on a six-dimensional warped nearly Kähler manifold in the presence of gravitational and gauge inst…

hep-th2014★ 67 cited

Topological Invariants and Fibration Structure of Complete Intersection Calabi-Yau Four-Folds

James Gray, Alexander S. Haupt, Andre Lukas

We investigate the mathematical properties of the class of Calabi-Yau four-folds recently found in [arXiv:1303.1832]. This class consists of 921,497 configuration matrices which co…

hep-th2013★ 79 cited

All Complete Intersection Calabi-Yau Four-Folds

James Gray, Alexander S. Haupt, Andre Lukas

We present an exhaustive, constructive, classification of the Calabi-Yau four-folds which can be described as complete intersections in products of projective spaces. A comprehensi…

hep-th2012★ 17 cited

Heterotic string plus five-brane systems with asymptotic AdS3

Karl-Philip Gemmer, Alexander S. Haupt, Olaf Lechtenfeld +2

We present NS1+NS5-brane solutions of heterotic supergravity on curved geometries. They interpolate between a near horizon AdS3 x X^k x T^{7-k} region and R^{1,1} x c(X^k) x T^{7-k…

hep-th2011★ 18 cited

Chern-Simons flows on Aloff-Wallach spaces and Spin(7)-instantons

Alexander S. Haupt, Tatiana A. Ivanova, Olaf Lechtenfeld +1

Due to their explicit construction, Aloff-Wallach spaces are prominent in flux compactifications. They carry G_2-structures and admit the G_2-instanton equations, which are natural…

hep-th2009★ 2 cited

M-theory Calabi-Yau Quantum Mechanics

Alexander S. Haupt

This thesis explores an exotic class of M-theory compactifications in which the compact manifold is taken to be a Calabi-Yau five-fold. The resulting effective theory is a one-dime…