Results 61 to 70 of about 6,904,156 (175)
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
The DNA of Calabi–Yau Hypersurfaces
Abstract Genetic Algorithms are implemented for triangulations of four‐dimensional reflexive polytopes, which induce Calabi–Yau threefold hypersurfaces via Batyrev's construction. These algorithms are shown to efficiently optimize physical observables such as axion decay constants or axion–photon couplings in string theory compactifications.
Nate MacFadden +2 more
wiley +1 more source
Superspace formulation of exotic supergravities in six dimensions
We provide a linearised superfield description of the exotic non-metric N = (4, 0) supergravity in D = 6, by using a pure spinor superfield formalism. The basic field Ψ is a ghost number 2 scalar, transforming in the same R-symmetry module as the tensor ...
Martin Cederwall
doaj +1 more source
Abstract In this article I consider type II superstring in the pure spinor formulation with constant background fields in the context of T‐dualization. First, I prove that bosonic and fermionic T‐dualization commute using already known T‐dual transformation laws for bosonic and fermionic T‐dualization.
B. Nikolić
wiley +1 more source
N $$ \mathcal{N} $$ = 7 On-shell diagrams and supergravity amplitudes in momentum twistor space
We derive an on-shell diagram recursion for tree-level scattering amplitudes in N $$ \mathcal{N} $$ = 7 supergravity. The diagrams are evaluated in terms of Grassmannian integrals and momentum twistors, generalising previous results of Hodges in momentum
Connor Armstrong +2 more
doaj +1 more source
On the paper “Bundle gerbes” by Michael Murray
Abstract The article gives a brief survey of Murray's notion of bundle gerbes as introduced in his 1996 paper published in the Journal of the London Mathematical Society, together with some of its applications.
Nigel Hitchin
wiley +1 more source
The graphic enables the visualization of the changes in audible frequency within the cell when the potential is applied at 30 s. The change in frequency is related to the gas volume produced during electrolysis. The gas changes the compressibility of the electrolyte slowing down the speed of sound.
Christopher Kent +4 more
wiley +1 more source
openWe study consistent truncations of 11d supergravity on the seven-sphere S7, by means of exceptional generalised geometry, in the perspective of a broader understanding of the particular instance of the gauge/gravity holographic correspondence given ...
VAN DEN DRIESSCHE, ELIAS
core
The N $$ \mathcal{N} $$ = 3 Weyl multiplet in four dimensions
The main ingredient for local superconformal methods is the multiplet of gauge fields: the Weyl multiplet. We construct the transformations of this multiplet for N $$ \mathcal{N} $$ = 3, D = 4. The construction is based on a supersymmetry truncation from
Jesse van Muiden, Antoine Van Proeyen
doaj +1 more source
The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem
Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh +1 more
wiley +1 more source

