22 citations · 93 across the 8 of their papers we have counts for
8 papers
On higher Brézin-Gross-Witten tau-functions
Alexander Alexandrov, Saswati Dhara
In this paper, we consider the higher Brézin--Gross--Witten tau-functions, given by the matrix integrals. For these tau-functions we construct the canonical Kac--Schwarz operators,…
Distinguishing Mutant Knots
L. Bishler, Saswati Dhara, T. Grigoryev +6
Knot theory is actively studied both by physicists and mathematicians as it provides a connecting centerpiece for many physical and mathematical theories. One of the challenging pr…
Difference of mutant knot invariants and their differential expansion
L. Bishler, Saswati Dhara, T. Grigoryev +6
We evaluate the differences of HOMFLY-PT invariants for pairs of mutant knots colored with representations of , which are large enough to distinguish between them. These mut…
Entanglement on multiple boundaries in Chern-Simons theory
Siddharth Dwivedi, Vivek Kumar Singh, P. Ramadevi +2
Topological entanglement structure amongst disjoint torus boundaries of three manifolds have already been studied within the context of Chern-Simons theory. In this work, we study…
Bi-partite vertex model and multi-colored link invariants
Saswati Dhara, Romesh K. Kaul, P. Ramadevi +1
Construction of representations of braid group generators from -state vertex models provide an elegant route to study knot and link invariants. Using such a braid group represen…
Multi-Colored Links From 3-strand Braids Carrying Arbitrary Symmetric Representations
Saswati Dhara, A. Mironov, A. Morozov +4
Obtaining colored HOMFLY-PT polynomials for knots from 3-strand braid carrying arbitrary representation is still tedious. For a class of rank symmetric representations,…
Eigenvalue hypothesis for multi-strand braids
Saswati Dhara, A. Mironov, A. Morozov +4
Computing polynomial form of the colored HOMFLY-PT for non-arborescent knots obtained from three or more strand braids is still an open problem. One of the efficient methods sugges…
Entanglement on linked boundaries in Chern-Simons theory with generic gauge groups
Siddharth Dwivedi, Vivek Kumar Singh, Saswati Dhara +3
We study the entanglement for a state on linked torus boundaries in Chern-Simons theory with a generic gauge group and present the asymptotic bounds of Rényi entropy at two di…