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.
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.