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Results tagged with topological-quantum-field-theory
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user 17644
Topological quantum field theory.
4
votes
S-matrix for the HOMFLY/Hecke category
The $S$-matrix is given by
\begin{equation}
\frac{S_{ij}}{S_{00}}=S_{R_i}(q^{\rho})S_{R_j}(q^{\rho+R_i})
\end{equation}
where $S_{R}(x_1,\cdots,x_N)$ is the Schur polynomial with highest weight $R$, …
- 2,273
3
votes
Deriving the Hilbert spaces for Chern-Simons TQFTs with complex gauge group
The quantization procedure is proposed by Gukov by using A-polynomials
http://arxiv.org/abs/hep-th/0306165
This quantization is shown to be true for $SL(2,\mathbb{C})$ character variety of hyperboli …
- 2,273
7
votes
0
answers
412
views
Khovanov homology and Crane-Yetter TQFT
Crane-Yetter(-Kauffman) have constructed 4-dimensional TQFT in such a way that Reshetikhin-Turaev theory lives on the boundary $\partial M$ of a 4-manifold $M$. Therefore, Crane-Yetter TQFT can be tho …
- 2,273