133 citations · 696 across the 15 of their papers we have counts for
9 papers · 1 filter
Banana diagrams as functions of geodesic distance
D. Diakonov, A. Morozov
We extend the study of banana diagrams in coordinate representation to the case of curved space-times. If the space is harmonic, the Green functions continue to depend on a single…
Pentad and triangular structures behind the Racah matrices
A. Morozov
Somewhat unexpectedly, the study of the family of twisted knots revealed a hidden structure behind exclusive Racah matrices , which control non-associativity of the represe…
Extension of KNTZ trick to non-rectangular representations
A. Morozov
We claim that the recently discovered universal-matrix precursor for the functions, which define the differential expansion of colored polynomials for twist and double braid kn…
Ward identities and combinatorics of rainbow tensor models
H. Itoyama, A. Mironov, A. Morozov
We discuss the notion of renormalization group (RG) completion of non-Gaussian Lagrangians and its treatment within the framework of Bogoliubov-Zimmermann theory in application to…
Racah matrices and hidden integrability in evolution of knots
A. Mironov, A. Morozov, An. Morozov +1
We construct a general procedure to extract the exclusive Racah matrices S and \bar S from the inclusive 3-strand mixing matrices by the evolution method and apply it to the first…
Racah coefficients and extended HOMFLY polynomials for all 5-, 6- and 7-strand braids
A. Anokhina, A. Mironov, A. Morozov +1
Basing on evaluation of the Racah coefficients for SU_q(3) (which supported the earlier conjecture of their universal form) we derive explicit formulas for all the 5-, 6- and 7-str…
Character expansion for HOMFLY polynomials. III. All 3-Strand braids in the first symmetric representation
H. Itoyama, A. Mironov, A. Morozov +1
We continue the program of systematic study of extended HOMFLY polynomials. Extended polynomials depend on infinitely many time variables, are close relatives of integrable tau-fun…
HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations
H. Itoyama, A. Mironov, A. Morozov +1
Explicit answer is given for the HOMFLY polynomial of the figure eight knot in arbitrary symmetric representation R=[p]. It generalizes the old answers for p=1 and 2 and the…
Partition Functions of Matrix Models as the First Special Functions of String Theory. II. Kontsevich Model
A. Alexandrov, A. Mironov, A. Morozov +1
In arXiv:hep-th/0310113 we started a program of creating a reference-book on matrix-model tau-functions, the new generation of special functions, which are going to play an importa…