Zobrazeno 1 - 10
of 309
pro vyhledávání: '"Krasnov, Kirill"'
Autor:
Krasnov, Kirill, Shaw, Adam
The main aim of this paper is to simplify and popularise the construction from the 2013 paper by Apostolov, Calderbank, and Gauduchon, which (among other things) derives the Plebanski-Demianski family of solutions of GR using ideas of complex geometr
Externí odkaz:
http://arxiv.org/abs/2408.04389
Autor:
Bhoja, Niren, Krasnov, Kirill
An SU(2) structure in four dimensions can be described as a triple of 2-forms Sigma^i in Lambda^2(M), i=1,2,3 satisfying Sigma^i wedge Sigma^j ~ delta^{ij}. Such a triple defines a Riemannian signature metric on M. An SU(2) structure is said to be in
Externí odkaz:
http://arxiv.org/abs/2405.15408
Autor:
Krasnov, Kirill
The most natural first-order PDE's to be imposed on a Cayley 4-form in eight dimensions is the condition that it is closed. As is known, this implies integrability of the Spin(7) structure defined by the Cayley form, as well as Ricci-flatness of the
Externí odkaz:
http://arxiv.org/abs/2403.16661
Area metrics are an intriguing generalization of length metrics which appears in several quantum-gravity approaches. We describe the space of diffeomorphism-invariant area-metric actions quadratic in fluctuations and derivatives. A general theory is
Externí odkaz:
http://arxiv.org/abs/2312.13935
Autor:
Bhoja, Niren, Krasnov, Kirill
We propose and develop a new method to classify orbits of the spin group ${\rm Spin}(2d)$ in the space of its semi-spinors. The idea is to consider spinors as being built as a linear combination of their pure constituents, imposing the constraint tha
Externí odkaz:
http://arxiv.org/abs/2312.13690
Autor:
Franchetti, Guido, Krasnov, Kirill
We revisit the problem of determining the zero modes of the Dirac operator on the Eguchi-Hanson space. It is well known that there are no normalisable zero modes, but such zero modes do appear when the Dirac operator is twisted by a $U(1)$ connection
Externí odkaz:
http://arxiv.org/abs/2309.08453
Autor:
Krasnov, Kirill
Cayley 4-form Phi on an 8-dimensional manifold M is a real differential form of a special algebraic type, which determines a Riemannian metric on M as well as a unit real Weyl spinor. It defines a Spin(7) structure on M, and this Spin(7) structure is
Externí odkaz:
http://arxiv.org/abs/2304.01118
Autor:
Krasnov, Kirill, Shaw, Adam
Starting from the chiral first-order pure connection formulation of General Relativity, we put the field equations of GR in a strikingly simple evolution system form. The two dynamical fields are a complex symmetric tracefree 3x3 matrix Psi, which en
Externí odkaz:
http://arxiv.org/abs/2212.12273