Research
On-device research index

arXiv research

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.

168,694 papers · 148 categories

Trend · papers per month

1122 · Nov 202419922001200920172026
14 results for 10D

We simplify supergravity in 10D using geometric insights.

problem Formulating supergravity in 10D without Lorentz degrees of freedom.
method Using generalised geometry, we describe the fibred structure of field space.
result Our action satisfies the classical master equation without Lorentz terms.

A new, simplified form of 10D supergravity action is derived up to all fermion orders.

problem Deriving a simplified form of 10D supergravity action up to all fermion orders.
method Generalised geometry and second-order formalism to upgrade calculations to all orders in fermions.
result A strikingly simple form of the action and supersymmetry transformations are obtained.

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…

2007-09-27abs ↗pdf ↗

Paper finds at least 6 fixed points for a specific circle action on a 10D manifold.

problem Finding the minimum number of fixed points for a circle action on a 10D almost complex manifold.
method Established a lower bound by showing the non-existence of a circle action with 4 fixed points.
result There are at least 6 fixed points for a circle action on a 10D compact almost complex 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…

2019-02-26abs ↗pdf ↗

Kaluza-Klein Theory states that a metric on the total space of a principal bundle PMP\rightarrow M, if it is invariant under the principal action of PP, naturally reduces to a metric together with a gauge field on the base manifold MM. We propose a generalization of this Kaluza-Klein principle to higher principal bun…

2019-12-15abs ↗pdf ↗

Mathematical proof of S-duality and universal isometries in q-map spaces.

problem Understanding the isometries of q-map spaces and their relation to S-duality.
method Purely mathematical proof of the existence of an SL(2,R)-action on q-map spaces, describing interactions with existing isometries.
result Presentation of a (3n+6)-dimensional group of universal isometries, enlarging previous results.