nLab Kirill Krasnov

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Selected writings

Discussion of Euclidean BTZ black holes/thermal AdS3 (the hyperbolic solid torus) with an eye towards AdS3/CFT2:

• Kirill Krasnov, Holography and Riemann Surfaces, Adv. Theor. Math. Phys. 4 (2000) 929-979 (arXiv:hep-th/0005106)

• Kirill Krasnov, Analytic Continuation for Asymptotically AdS 3D Gravity, Class. Quant. Grav. 19 (2002) 2399-2424 (arXiv:gr-qc/0111049)

• Kirill Krasnov, Black Hole Thermodynamics and Riemann Surfaces, Class. Quant. Grav. 20 (2003) 2235-2250 (arXiv:gr-qc/0302073)

On the exact gauge group of the standard model of particle physics (see there) as isomorphic to the subgroup of Spin(9) which respects a splitting $\mathbb{H} \oplus \mathbb{H} \simeq_{\mathbb{R}} \mathbb{C} \oplus \mathbb{C}^3$:

• Kirill Krasnov, $SO(9)$ characterisation of the Standard Model gauge group (arXiv:1912.11282)

On gravity (general relativity) and the underlying differential geometry, spin geometry and Cartan geometry:

• Kirill Krasnov, Formulations of General Relativity, PIRSA lecture series (Feb 2019) [part 1:doi:10.48660/19020079, 2:doi:10.48660/19020080, 3:doi:10.48660/19020081, 4:doi:10.48660/19020082]

• Kirill Krasnov, Formulations of General Relativity – Gravity, Spinors and Differential Forms, Cambridge Monographs on Mathematical Physics, Cambridge University Press (2020) [doi:10.1017/9781108674652, taster:pdf]

New perspective on the symmetry breaking of Spin(10)-GUT to the standard model gauge group:

• Kirill Krasnov, Geometry of $Spin(10)$ Symmetry Breaking [arXiv:2209.05088]

On complex and Lorentzian analogs of Cayley forms:

• Kirill Krasnov, Lorentzian Cayley Form [arXiv:2304.01118]

More on Cayley forms:

• Kirill Krasnov, Dynamics of Cayley Forms [arXiv:2403.16661]

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