Results 1 to 10 of about 402 (139)
Dirac operator spectrum on a nilmanifold
Nuclear Physics B, 2022 We obtain the spectrum of the Dirac operator on the three-dimensional Heisenberg nilmanifold M3, and its complete dependence on the metric moduli.
Aldo Deandrea, Dimitrios Tsimpis
exaly +4 more sources
Laplacian spectrum on a nilmanifold, truncations and effective theories
Journal of High Energy Physics, 2018 Motivated by low energy effective theories arising from compactification on curved manifolds, we determine the complete spectrum of the Laplacian operator on the three-dimensional Heisenberg nilmanifold.
Dimitrios Tsimpis, David Andriot
exaly +4 more sources
International Mathematics Research Notices, 2014 9 pages, to appear in ...
CAPPELLETTI MONTANO, BENIAMINO +3 more
openaire +4 more sources
The doubled geometry of nilmanifold reductions [PDF]
Journal of High Energy Physics, 2019 A class of special holonomy spaces arise as nilmanifolds fibred over a line interval and are dual to intersecting brane solutions of string theory. Further dualities relate these to T-folds, exotic branes, essentially doubled spaces and spaces with R ...
N. Chaemjumrus, C.M. Hull
doaj +4 more sources
Bulletin of the London Mathematical Society, 2016 We prove that if a compact nilmanifold $Γ\backslash G$ is endowed with a Vaisman structure, then $G$ is isomorphic to the Cartesian product of the Heisenberg group with $\mathbb{R}$.
Giovanni Bazzoni, Bazzoni G
core +6 more sources
The anomaly flow on nilmanifolds [PDF]
Annals of Global Analysis and Geometry, 2021 We study the Anomaly flow on $2$-step nilmanifolds with respect to any Hermitian connection in the Gauduchon line. In the case of flat holomorphic bundle, the general solution to the Anomaly flow is given for any initial invariant Hermitian metric. The solutions depend on two constants $K_1$ and $K_2$, and we study the qualitative behaviour of the ...
Mattia Pujia, Luis Ugarte
openaire +5 more sources
Gauge-Higgs models from nilmanifolds
Physics Letters B, 2022 We consider the compactification of a Yang-Mills theory on a three-dimensional nilmanifold. The compactification generates a Yang-Mills theory in four space-time dimensions, coupled to a specific scalar sector. The compactification geometry gives rise to
Aldo Deandrea +2 more
doaj +1 more source
T-duality on nilmanifolds [PDF]
Journal of High Energy Physics, 2018 Abstract We study generalized complex structures and T-duality (in the sense of Bouwknegt, Evslin, Hannabuss and Mathai) on Lie algebras and construct the corresponding Cavalcanti and Gualtieri map. Such a construction is called Infinitesimal T -duality. As an application we deal with the problem of finding symplectic structures on
Viviana del Barco +2 more
openaire +4 more sources
Perfectoid Shimura varieties and the Calegari–Emerton conjectures
Journal of the London Mathematical Society, Volume 108, Issue 5, Page 1954-2000, November 2023., 2023 Abstract We prove many new cases of a conjecture of Calegari–Emerton describing the qualitative properties of completed cohomology. The heart of our argument is a careful inductive analysis of completed cohomology on the Borel–Serre boundary. As a key input to this induction, we prove a new perfectoidness result for towers of minimally compactified ...
David Hansen, Christian Johansson
wiley +1 more source
Purely coclosed G2‐structures on nilmanifolds
Mathematische Nachrichten, Volume 296, Issue 6, Page 2236-2257, June 2023., 2023 Abstract We classify seven‐dimensional nilpotent Lie groups, decomposable or of nilpotency step at most 4, endowed with left‐invariant purely coclosed G2‐structures. This is done by going through the list of all seven‐dimensional nilpotent Lie algebras given by Gong, providing an example of a left‐invariant 3‐form φ which is a pure coclosed G2 ...
Giovanni Bazzoni +2 more
wiley +1 more source