Several papers (in collaboration with A.I. Molev and O.V. Ogievetsky) are devoted to the devolopment of the representation theory of (affine) Hecke and Birman–Murakami–Wenzl algebras. In collaboration with P.P. Kulish, reflection equations for factorizable scattering of strings were constructed. The operator method of the analytical evaluation of multi-loop Feynman integrals was developed.
Main publications:
A. P. Isaev, “Multi-loop Feynman integrals and conformal quantum mechanics”, Nucl. Phys. B, 662 (2003), 461–475
A. P. Isaev, P.P. Kulish, “Tetrahedron reflection equation”, Mod.Phys.Lett.A, 12 (1997), 427-438
D. Chicherin, S. Derkachov, A. P. Isaev, “Conformal group: R-matrix and star-triangle relation”, JHEP, 1304 (2013), 020
A. P. Isaev, A. I. Molev, O. V. Ogievetsky, “Idempotents for Birman–Murakami–Wenzl algebras and reflection equation”, Adv.Theor.Math.Phys, 18 (2014), 1-25
A.P.Isaev, A.N.Kirillov and V.O.Tarasov, “Bethe subalgebras in affine Birman–Murakami–Wenzl algebras and flat connections for q-KZ equations”, J. Phys. A: Math. Theor, 49 (2016), 204002
