AN $\mathcal{N}=1$ TRIALITY BY SPECTRUM MATCHING

An N = 1 Triality by Spectrum Matching

On promoting the type IIA side of the N = 1 Heterotic/type IIA dual pairs of [1] to M-theory on a 'barely G 2 Manifold' of [2], by spectrum-matching we show a possible triality between Heterotic on a self-mirror Calabi-Yau, M-theory on the above 'barely G 2-Manifold' constructed from the Calabi-Yau on the type IIA side and F-theory on an elliptically fibered Calabi-Yau 4-fold fibered over a tri...

Automatic Whole-Spectrum Matching

In many space science applications, there is a need for the ability to match spectra of unknown objects against a reference spectral database. Whole-spectrum matching has been shown to perform this task effectively, but its performance is strongly linked to end-user choices, as well as specific characteristics of the dataset involved. Conventionally, the task of tuning the matching algorithm fa...

An Improved Semantic Schema Matching Approach

Schema matching is a critical step in many applications, such as data warehouse loading, Online Analytical Process (OLAP), Data mining, semantic web [2] and schema integration. This task is defined for finding the semantic correspondences between elements of two schemas. Recently, schema matching has found considerable interest in both research and practice. In this paper, we present a new impr...

Hopf Algebras with Triality

In this paper we revisit and extend the constructions of Glauberman and Doro on groups with triality and Moufang loops to Hopf algebras. We prove that the universal enveloping algebra of any Lie algebra with triality is a Hopf algebra with triality. This allows us to give a new construction of the universal enveloping algebras of Malcev algebras. Our work relies on the approach of Grishkov and ...

Lie Algebras with Triality