A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
11D supergravity completes with quantized C-field flux.
Necessary and sufficient conditions are provided for a class of warped product manifolds with non-vanishing flux to be supersymmetric solutions of 11D supergravity. Many noncompact, but complete solutions can be obtained in this manner, including the multi-membrane solution initially found by Duff and Stelle. In a diff…
Ansatze are constructed under which the solutions of 11D supergravity must be stationary points of a parabolic flow on a Riemannian manifold . This parabolic flow turns out to be the Ricci flow coupled to a scalar field, a -form, and a -form. This allows the introduction of techniques from parabolic…
10D IIA Superspace is put on shell by imposing duality-symmetric Bianchi identities on super-flux densities.
New criteria for long-time existence of parabolic flow from 11D supergravity.
We establish a higher generalization of super L-infinity-algebraic T-duality of super WZW-terms for super p-branes. In particular, we demonstrate spherical T-duality of super M5-branes propagating on exceptional-geometric 11d super spacetime.
The presentation of supergravity theories of our previous paper "Super-Poincare' algebras, space-times and supergravities (I)" is re-formulated in the language of Berezin-Leites-Kostant theory of supermanifolds. It is also shown that the equations of Cremmer, Julia and Scherk's theory of 11D-supergravity are equivalent…
Modernizes higher-dimensional supergravity, linking it to flux quantization.
New decomposable solutions found in 11D supergravity.
Smooth minimizing hypersurfaces in 11D are generic, with singularities in higher dimensions.
The study explores highly supersymmetric backgrounds in 11D supergravity.
A key open problem in M-theory is the identification of the degrees of freedom that are expected to be hidden at ADE-singularities in spacetime. Comparison with the classification of D-branes by K-theory suggests that the answer must come from the right choice of generalized cohomology theory for M-branes. Here we show…
Analyzes quantization of flux observables in gauge theories.
In the quest for the mathematical formulation of M-theory, we consider three major open problems: a first-principles construction of the single (abelian) M5-brane Lagrangian density, the origin of the gauge field in heterotic M-theory, and the supersymmetric enhancement of exceptional M-geometry. By combining technique…
The hidden M-algebra is integrated into a super-Lie group, allowing for compactification of extra dimensions.
New method for flux quantization on phase space stacks.