nLab Branislav Jurco

Branislav Jurčo is a Czech mathematical physicist (group theory, quantum groups, noncommutative gauge theories, integrable systems, nonabelian cocycles in string theory, Batalin-Vilkovisky formalism) and category theorist (gerbes, classifying 2-spaces and topoi, higher gauge theories, twisted K-theory, operads), born in former Czechoslovak Republic.

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Selected writings

On quantum optics:

• Jan Peřina, Zdeněk Hradil, Branislav Jurčo, Quantum optics and fundamentals of physics, Kluwer, Dodrecht-Boston 1994

and integrable systems:

• Branislav Jurčo, On quantum integrable models related to nonlinear quantum optics. An algebraic Bethe ansatz approach, J. Math. Phys. 30, 1739 (1989) (doi:10.1063/1.528262)

On the Yang-Baxter equation and integrable systems:

• Branislav Jurčo, Classical Yang-Baxter equations and quantum integrable systems (Gaudin models), pp. 1616-6361 in Springer Lect. Notes in Physics 370 (1990) doi

A model for the supergravity C-field in terms of nonabelian bundle 2-gerbes:

• Paolo Aschieri, Branislav Jurčo, Gerbes, M5-Brane Anomalies and $E_8$ Gauge Theory, JHEP 0410:068 (2004) [arXiv:hep-th/0409200, doi:10.1088/1126-6708/2004/10/068]

On fiber bundles (principal bundles, vector bundles), topological K-theory applications to D-branes:

• Dale Husemöller, Michael Joachim, Branislav Jurčo, Martin Schottenloher, Basic Bundle Theory and K-Cohomology Invariants, Springer Lecture Notes in Physics 726, 2008, (pdf, doi:10.1007/978-3-540-74956-1)

On classifying toposes

• Igor Baković, Branislav Jurčo, The classifying topos of a topological bicategory, Homology, homotopy and applications 12(1), 279-300 (2010), published files arxiv/0902.1750 cafe

On nonabelian bundle 2-gerbes:

• Branislav Jurčo, Nonabelian bundle 2-gerbes, International Journal of Geometric Methods in Modern Physics 08 01 (2011) 49-78 [arXiv:0911.1552, doi:10.1142/S0219887811004963]

On string field theory:

• Branislav Jurčo, Korbinian Muenster, Type II superstring field theory: geometric approach and operadic description, JHEP 1304:126 (2013) (arXiv/1303.2323, doi)

On string field theory in terms of $L_\infty$-algebras:

• Martin Doubek, Branislav Jurčo, Korbinian Muenster, Modular operads and the quantum open-closed homotopy algebra, J. High Energ. Phys. 2015, 1–55 (2015) (arXiv:1308.3223, doi:10.1007/JHEP12(2015)158)

On Riemannian geometry on Courant algebroids and relation to supergravity equations of motion:

• Branislav Jurčo, Jan Vysoky, Courant Algebroid Connections and String Effective Actions, Proceedings of Tohoku Forum for Creativity, Special volume: Noncommutative Geometry and Physics IV (arXiv:1612.01540)

On higher structures in M-theory:

• Branislav Jurčo, Christian Saemann, Urs Schreiber, Martin Wolf, Higher Structures in M-Theory, Introduction to Higher Structures in M-Theory, LMS-EPSRC Durham Symposium, August 2018, Fortsch. d. Phys. 2019 (arXiv:1903.02807)

On higher structures in string theory and M-theory:

• Branislav Jurčo, Christian Saemann, Urs Schreiber, Martin Wolf, Higher Structures in M-Theory, Introduction to Higher Structures in M-Theory 2018, Fortsch. d. Phys. 67 (2019) 8-9 [arXiv:1903.02807, doi:10.1002/prop.201910001]

On quantum L-infinity algebras for the BV-BRST formalism:

• Martin Doubek, Branislav Jurčo, Ján Pulmann, Quantum L∞ Algebras and the Homological Perturbation Lemma Comm. Math. Phys. 367 (2019) 215–240 [arXiv:1712.02696, doi:10.1007/s00220-019-03375-x]

• Branislav Jurčo, Tommaso Macrelli, Christian Sämann, Martin Wolf, Loop Amplitudes and Quantum Homotopy Algebras, Journal of High Energy Physics 2020 3 (2020) [doi:10.1007/JHEP07(2020)003, arXiv:1912.06695]

• Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf, Perturbative Quantum Field Theory and Homotopy Algebras, PoS (CORFU2019) 199 [arXiv:2002.11168, doi:10.22323/1.376.0199]

On the classical double copy (KLT relations, relating gravity to Yang-Mills theory) via $L_\infty$-algebras:

• Leron Borsten, Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf, Double copy from homotopy algebras, Fortschritte der Physik, 69 8–9 (2021) 2100075 [arXiv:2102.11390, doi:10.1002/prop.202100075]

On higher gauge theory:

• Leron Borsten, Mehran Jalali Farahani, Branislav Jurčo, Hyungrok Kim, Jiří Nárožný, Dominik Rist, Christian Saemann, Martin Wolf, Higher Gauge Theory, in Encyclopedia of Mathematical Physics 2nd ed, Elsevier (2024) [arXiv:2401.05275]

On coherent states, Iwasawa decomposition and dressing orbits for quantum groups

• Branislav Jurčo, P. Šťovíček, Quantum dressing orbits on compact groups, Commun. Math. Physics 152 (1993) 97–126 doi
• Branislav Jurčo, P. Štoviček, Coherent states for quantum compact groups, Comm. Math. Phys. 182 (1996) 221–251; hep-th/9403114;

category: people