nLab Andrey Morozov

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Selected writings

On Seiberg-Witten theory in relation to integrable systems:

• Alexander Gorsky, Igor Krichever, Andrei Marshakov, Andrei Mironov, Andrey Morozov, Integrability and Seiberg-Witten Exact Solution, Phys. Lett. B 355 (1995) 466-474 [arXiv:hep-th/9505035, doi:10.1016/0370-2693(95)00723-X]

On the AGT correspondence:

• Andrei Mironov, Andrey Morozov, Shamil Shakirov, A direct proof of AGT conjecture at $\beta = 1$, JHEP 1102:067 (2011) [arXiv:1012.3137, doi:10.1007/JHEP02(2011)067]

On knot invariants:

• Andrei Mironov, Alexei Morozov, Andrey Morozov, Pichai Ramadevi, Vivek Kumar Singh, A. Sleptsov: Colored HOMFLY polynomials of knots presented as double fat diagrams, JHEP 07 (2015) 109 [arXiv:1504.00371, doi:10.1007/JHEP07(2015)109]

• Saswati Dhara, Andrei Mironov, Alexei Morozov, Andrey Morozov, Pichai Ramadevi, Vivek Kumar Singh, A. Sleptsov: Multi-Colored Links From 3-strand Braids Carrying Arbitrary Symmetric Representations, Annales Henri Poincaré 20 12 (2019) 4033-4054 [arXiv:1805.03916,doi:10.1007/s00023-019-00841-z]

On topological quantum computation with Chern-Simons theory via quantum R-matrices:

• Dmitry Melnikov, Andrei Mironov, Sergey Mironov, Alexei Morozov, Andrey Morozov: Towards topological quantum computer, Nucl. Phys. B926 (2018) 491-508 [doi:10.1016/j.nuclphysb.2017.11.016, arXiv:1703.00431]

• Nikita Kolganov, Andrey Morozov: Quantum $\mathcal{R}$-matrices as universal qubit gates, Pis’ma v ZhETF, 111, N9 (2020) [doi:10.1134/S0021364020090027, arXiv:2004.07764]

On universality of braid quantum gates of su(2)-anyons at higher level $k$ (and also for $SU(N)$-anyons with $N \gt 2$):

• Nikita Kolganov, Sergey Mironov, Andrey Morozov, Large $k$ topological quantum computer, Nuclear Physics B

  987 (2023) 116072 [arXiv:2105.03980, doi:10.1016/j.nuclphysb.2023.116072]

On quantum measurement of anyons:

• Andrey Morozov, On measuring the topological charge of anyons [arXiv:2403.07847]

On entangling quantum gates in topological quantum computing:

• Sergey Mironov, Andrey Morozov: Entangling gates from cabling of knots, Eur. Phys. J. C 85 799 (2025) [doi:10.1140/epjc/s10052-025-14492-4, arXiv:2605.04016]

• Sergey Mironov, Andrey Morozov: Entangling gates for the $SU(N)$ anyons [arXiv:2605.04016]

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