Russia's Postcolonial Identity

Multi-colored Links From 3-Strand Braids Carrying Arbitrary Symmetric Representations

“…Using the systematic approach of highest weight method [30], [35]- [39], the quantum Racah coefficients have been explicitly calculated for some [r i ]'s. However, our aim in this paper is to obtain the Racah matrix when the symmetric representations on the 3-strands are arbitrary [r i ]'s.…”

“…We can now explicitly write the matrix R 2 by substituting eqns. (35,34) into (20). Hence we can evaluate π(β L ) ∀β L ∈ B 3 colored by arbitrary symmetric representations.…”

On skew tau-functions in higher spin theory

“…Einstein metrics (14) can be related to flat connections of the SL(2, R) × SL(2, R) [4], or SL(N, R) × SL(N, R) Chern-Simons theory [5]. One identifies the dreibein e µ and the spin connection ω µ with a linear combinations of the corresponding pair of SL(N, R) connections A andĀ:…”

“…The class of flat connections relevant for (14) can be realized as the Cartan gauge transformation with b = exp(ρT 0 ) of the constant connections so that the uppercase flat connections are (19) and the lowercase connections are…”

“…Using (15) one recovers the Euclidean version of metric (14). The Minkowski version is obtained through the Wick rotation iτ → t.…”