nLab Hyungrok Kim

Selected writings

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

• 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 the higher parallel transport for higher gauge theory with adjusted Weil algebras:

• Hyungrok Kim, Christian Saemann, Adjusted Parallel Transport for Higher Gauge Theories, J. Phys. A 52 (2020) 445206 [arXiv:1911.06390, doi:10.1088/1751-8121/ab8ef2]

and relation to $E L_\infty$-algebras and tensor hierarchies:

• Leron Borsten, Hyungrok Kim, Christian Saemann. $E L_\infty$-algebras, Generalized Geometry, and Tensor Hierarchies [arXiv:2106.00108]

Proposal for further enhancement of the higher differential geometry-formulation of T-folds (such as with 2-connections and further non-geometric backgrounds):

• Hyungrok Kim, Christian Saemann, Non-Geometric T-Duality as Higher Groupoid Bundles with Connections [arXiv:2204.01783]

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]