Articles with "spin manifold" as a keyword



Simulating the full spin manifold of triplet‐pair states in a series of covalently linked TIPS‐pentacenes

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Published in 2024 at "Journal of Computational Chemistry"

DOI: 10.1002/jcc.27475

Abstract: Combined density functional theory and multireference configuration interaction methods have been used to elucidate singlet fission (SF) pathways and mechanisms in three regioisomers of side‐on linked pentacene dimers. In addition to the optically bright singlets… read more here.

Keywords: pair states; triplet pair; spin manifold; full spin ... See more keywords

The Riemannian curvature identities for the torsion connection on Spin(7)${\rm Spin}(7)$ —Manifold and generalized Ricci solitons

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Published in 2025 at "Mathematische Nachrichten"

DOI: 10.1002/mana.12021

Abstract: It is shown that on compact Spin(7)${\rm Spin}(7)$ ‐manifold with exterior derivative of the Lee form lying in the Lie algebra Spin(7)${\rm Spin}(7)$ the curvature R$R$ of the Spin(7)${\rm Spin}(7)$ –torsion connection R∈S2Λ2$R\in S^2\Lambda ^2$… read more here.

Keywords: spin spin; spin; torsion connection; spin manifold ... See more keywords

A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold

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Published in 2022 at "Communications in Mathematical Physics"

DOI: 10.1007/s00220-022-04336-7

Abstract: We give a rigorous construction of the path integral in $${\mathcal {N}}=1/2$$ N = 1 / 2 supersymmetry as an integral map for differential forms on the loop space of a compact spin manifold. It… read more here.

Keywords: rigorous construction; compact spin; supersymmetric path; spin manifold ... See more keywords