nLab Petr Hořava

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Selected writings

On $n$-plectic formulation of Einstein-Maxwell theory:

• Petr Hořava, Covariant Hamilton-Jacobi Equation for Pure Gravity, Institute of Physics, Czechoslovak Academy of Sciences, PRA-HEP-90/4 (1990) [arXiv:2312.14412]

• Petr Hořava, On a covariant Hamilton-Jacobi framework for the Einstein-Maxwell theory Classical and Quantum Gravity 8 11 (1991) 2069 [doi:10.1088/0264-9381/8/11/016]

On Chern-Simons theory on orbifolds via equivariant bundles in the general sense of tom Dieck 69 (i.e. with action of the semidirect product of the gauge group with the equivariance group):

• Petr Hořava, Chern-Simons Gauge Theory on Orbifolds: Open Strings from Three Dimensions, J. Geom. Phys. 21:1-33, 1996 (arXiv:hep-th/9404101)

Introducing Hořava-Witten theory:

• Petr Hořava, Edward Witten, Heterotic and Type I string dynamics from eleven dimensions, Nucl. Phys. B460 (1996) 506 (arXiv:hep-th/9510209)

• Petr Hořava, Edward Witten, Eleven dimensional supergravity on a manifold with boundary, Nucl. Phys. B475 (1996) 94 (arXiv:hep-th/9603142)

Early discussion of D-brane charge quantization in K-theory:

• Petr Hořava: Type IIA D-Branes, K-Theory, and Matrix Theory, Adv. Theor. Math. Phys. 2 (1998) 1373-1404 [hep-th/9812135, atmp:1998-0002-0006-a005]

Understanding solitonic (non-singular) D-branes and their T-duality in terms of the D-brane charge quantization in K-theory:

• Oren Bergman, Eric G. Gimon, Petr Hořava, Brane Transfer Operations and T-Duality of Non-BPS States, JHEP 9904 (1999) 010 [doi:10.1088/1126-6708/1999/04/010, arXiv:hep-th/9902160]

On Ricci flow and quantum gravity:

• Alexander Frenkel, Petr Horava, Stephen Randall, Topological Quantum Gravity of the Ricci Flow (arXiv:2010.15369)

• Alexander Frenkel, Petr Horava, Stephen Randall, Perelman’s Ricci Flow in Topological Quantum Gravity (arXiv:2011.11914)

Related entries

• Hořava-Witten theory

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