Results 91 to 100 of about 667,232 (161)
Theta divisors and permutohedra
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley +1 more source
Charting the landscape of N = 4 flux compactifications [PDF]
, 2011 We analyse the vacuum structure of isotropic Z2 × Z2 flux compactifications, allowing for a single set of sources. Combining algebraic geometry with supergravity techniques, we are able to classify all vacua for both type IIA and IIB backgrounds with ...
Diederik Roest +9 more
core +2 more sources
On scale-separated supersymmetric $$\hbox {AdS}_2$$ AdS 2 flux vacua
European Physical Journal C: Particles and FieldsWe argue that scale-separated $$\hbox {AdS}_2$$ AdS 2 vacua with at least two preserved supercharges cannot arise from flux compactifications in a regime of computational control.
Niccolò Cribiori +2 more
doaj +1 more source
On Convergence of a Family of Random Walks in the Infinite Dimensional Stiefel Manifold
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we study random walks taking values in an infinite‐dimensional space—either a Hilbert space or an infinite‐dimensional manifold embedded in it, such as the Stiefel manifold. These random walks arise in problems in shape theory, particularly when stochastic optimization is applied.
Andrea C. G. Mennucci, Shikha Binwal
wiley +1 more source
Superpotentials from flux compactifications of M-theory [PDF]
, 2004 In flux compactifications of M-theory a superpotential is generated whose explicit form depends on the structure group of the 7-dimensional internal manifold. In this note, we discuss superpotentials for the structure groups: G_2, SU(3) or SU(2). For the
Jeschek, Claus +3 more
core
de Sitter no-go’s for Riemann-flat manifolds and a link to semidefinite optimisation
Journal of High Energy PhysicsWe establish a no-go theorem in the context of string and M-theory flux compactifications on Riemann-Flat manifolds with Casimir energy. Specifically, we show that no dS minimum exists in this setup in dimension d > 3.
Bruno Valeixo Bento, Miguel Montero
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W0_sample = np.random.normal(0,1)?
Physics Letters BIn this note, we explore the distribution of vacuum expectation values of the superpotential W0 in explicit Type IIB flux compactifications. We show that the distribution can be approximated universally across geometries by a two-dimensional Gaussian ...
J. Ebelt, S. Krippendorf, A. Schachner
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Laplacian spectrum on a nilmanifold, truncations and effective theories
Journal of High Energy Physics, 2018 Motivated by low energy effective theories arising from compactification on curved manifolds, we determine the complete spectrum of the Laplacian operator on the three-dimensional Heisenberg nilmanifold.
David Andriot, Dimitrios Tsimpis
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Massive deformations of Type IIA theory within double field theory
Journal of High Energy Physics, 2018 We obtain massive deformations of Type IIA supergravity theory through duality twisted reductions of Double Field Theory (DFT) of massless Type II strings. The mass deformation is induced through the reduction of the DFT of the RR sector. Such reductions
Aybike Çatal-Özer
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C2 generalization of the van Diejen model from the minimal (D5,D5) conformal matter. [PDF]
Lett Math Phys, 2023 Nazzal B, Nedelin A.
europepmc +1 more source