Konstantin Alkalaev
PhD
Research interests
The main focus of Konstantin’s research is the AdS/CFT correspondence for QFTs with higher symmetries such as 2d CFT and HS gravity. He and collaborators pioneered studies of the frame-like formulation for general free and interacting massless AdS fields, built mixed-symmetry conserved currents along with their duals, proposed higher-spin extensions of the Jackiw-Teitelboim gravity. More recent results include the combinatorial representation for minimal CFT with W symmetry, the semiclassical AdS/CFT correspondence between higher-point conformal blocks and geodesic trees, large-с torus CFT blocks and their duals.
Publications
Teaching
Selected publications:
- K.B. Alkalaev, M.M. Pavlov. Perturbative classical conformal blocks as Steiner trees on the hyperbolic disk, JHEP 1902 (2019) 023, arXiv:1810.07741 [hep-th].
- K.B. Alkalaev, M. A. Grigoriev. Continuous spin fields of mixed-symmetry type, JHEP 1803 (2018) 030, arXiv:1712.02317 [hep-th].
- K.B. Alkalaev, R.V. Geiko, V.A. Rappoport. Various semiclassical limits of torus conformal blocks, JHEP 1704 (2017) 070, arXiv:1612.05891 [hep-th].
- K.B. Alkalaev. Many-point classical conformal blocks and geodesic networks on the hyperbolic plane, JHEP 1612 (2016) 070, arXiv:1610.06717 [hep-th].
- K.B. Alkalaev, V.A. Belavin. Classical conformal blocks via AdS/CFT correspondence, JHEP 1508 (2015) 049, arXiv:1504.05943 [hep-th].
- K.B. Alkalaev, On higher spin extension of the Jackiw-Teitelboim gravity model, J.Phys. A47 (2014) 365401, arXiv:1311.5119 [hep-th].
- K.B. Alkalaev. Mixed-symmetry tensor conserved currents and AdS/CFT correspondence, J.Phys. A46 (2013) 214007, arXiv:1207.1079 [hep-th].
- K.B. Alkalaev. FV-type action for AdS5 mixed-symmetry fields, JHEP 1103 (2011) 031, arXiv:1011.6109 [hep-th].
- K.B. Alkalaev. Two column higher spin massless fields in AdS(d), Theor.Math.Phys. 140 (2004) 1253-1263, [hep-th/0311212]
- K.B. Alkalaev, O.V. Shaynkman, M.A. Vasiliev. On the frame - like formulation of mixed symmetry massless fields in (A)dS(d), Nucl.Phys. B692 (2004) 363, [hep-th/0311164].
Publications affiliated with ITMP:
- Alkalaev, K.B.; Khiteev, V.S. (2024). "Holographic reconstruction for AdS Wilson line networks and scalar Witten diagrams". arXiv: 2412.03290 [hep-th].
- Alkalaev, K.; Mandrygin, S. (2024). "One-point thermal conformal blocks from four-point conformal integrals". Journal of High Energy Physics. 10 (2024) 241. arXiv: 2407.01741 [hep-th]. doi: 10.1007/JHEP10(2024)241.
- Alkalaev, K.; Litvinov, P. (2024). "A note on the large-$c$ conformal block asymptotics and $\alpha$-heavy operators". Nuclear Physics B. 1009 (2024) 116741. arXiv: 2407.12986 [hep-th]. doi: 10.1016/j.nuclphysb.2024.116741.
- Alkalaev, K.B.; Joung, E.; Yoon, J. (2022). "Color decorations of Jackiw-Teitelboim gravity". Journal of High Energy Physics. 286 (2022). arXiv: 2204.10214 [hep-th]. doi: 10.1007/JHEP08(2022)286.
- Alkalaev, K.B.; Joung, E.; Yoon, J. (2022). "Schwarzian for colored Jackiw-Teitelboim gravity". Journal of High Energy Physics. 160 (2022). arXiv: 2204.09010 [hep-th]. doi: 10.1007/JHEP09(2022)160.
- Alkalaev, K.B.; Mandrygin, S.; Pavlov, M. (2022). "Torus conformal blocks and Casimir equations in the necklace channel". Journal of High Energy Physics. 91 (2022). arXiv: 2205.05038 [hep-th]. doi: 10.1007/JHEP10(2022)091.
- Alkalaev, K.B.; Yan, A.N. (2021). "AdS3/AdS2 degression of massless particles". Journal of High Energy Physics. 09 (2021) 198. arXiv: 2105.05722 [hep-th]. doi: 10.1007/JHEP09(2021)198.
- Alkalaev, K.; Bekaert, X. (2020). "On BF-type higher-spin actions in two dimensions". Journal of High Energy Physics. 05 (2020) 158. arXiv: 2002.02387 [hep-th]. doi: 10.1007/JHEP05(2020)158.
