10D IIA Superspace is put on shell by imposing duality-symmetric Bianchi identities on super-flux densities.
arXiv research
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We simplify supergravity in 10D using geometric insights.
A new, simplified form of 10D supergravity action is derived up to all fermion orders.
We consider compactification of type IIA supergravity on nearly Kaehler manifolds. These represent a simple class of SU(3) structure manifolds which includes S^6 and CP^3. We exhibit for the first time an explicit reduction ansatz in this context, obtaining an N=2 gauged supergravity in 4d with a single vector and hype…
Modernizes higher-dimensional supergravity, linking it to flux quantization.
Unified super-symmetry and higher fluxes using super-Lie-infinity algebras.
Paper finds at least 6 fixed points for a specific circle action on a 10D manifold.
Classical 10d string backgrounds with a 4d de Sitter space-time, D-brane and orientifold sources, are commonly believed to satisfy the following: 1. There is no classical de Sitter solution with parallel sources. 2. Classical de Sitter solutions with intersecting sources are unstable. 3. Classical de Sitter solutions c…
New online method estimates OT distances from sample streams.
Study a 10D symplectic manifold with 6 fixed points, linking to orbit.
This paper establishes rates of universal approximation for the shallow neural tangent kernel (NTK): network weights are only allowed microscopic changes from random initialization, which entails that activations are mostly unchanged, and the network is nearly equivalent to its linearization. Concretely, the paper has …
A key open problem in M-theory is the mechanism of "gauge enhancement", which supposedly makes M-branes exhibit the nonabelian gauge degrees of freedom that are seen perturbatively in the limit of 10d string theory. In fact, since only the twisted K-theory classes represented by nonabelian Chan-Paton gauge fields on D-…
Kaluza-Klein Theory states that a metric on the total space of a principal bundle , if it is invariant under the principal action of , naturally reduces to a metric together with a gauge field on the base manifold . We propose a generalization of this Kaluza-Klein principle to higher principal bun…
Mathematical proof of S-duality and universal isometries in q-map spaces.