Калибровочные теории; теория струн; интегрируемые модели; AdS/CFT соответствие.
Основные публикации:
D. Bykov, “Haldane limits via Lagrangian embeddings”, Nuclear Physics B, 855 (2012), 100–127
D. Bykov, “The worldsheet low-energy limit of the $\mathrm{AdS}_4\times\mathbb C\mathrm P^3$ superstring”, Nuclear Physics B, 838:1-2 (2010), 47–74
D. Bykov, “Complex structures and zero-curvature equations for $\sigma$-models”, Physics Letters B, 760 (2016), 341–344
I. Affleck, D. Bykov, K. Wamer, “Flag manifold sigma models: Spin chains and integrable theories”, Physics Reports, 953 (2022), 1–93
D. Bykov, A. Pribytok, “Supersymmetric deformation of the $\mathbb{CP}^{1}$ model and its conformal limits”, Advances in Theoretical and Mathematical Physics, 28 (2024), 2717–2758
