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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
12
votes
Mathematical/Physical uses of $SO(8)$ and Spin(8) triality
Seiberg and Witten showed that the $\mathcal{N}=2$ supersymmetric SU(2) gauge theory with $N_f=4$ flavor is endowed with SO(8) flavor symmetry, and it enjoys SO(8) triality.
Later, Gaiotto's construc …
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 …
5
votes
what is the stringy Kähler moduli space?
I have written an very brief introduction to Calabi-Yau moduli. This is covered by standard textbooks of string theory. (See the chapter 9 of BBS.) In addition, there are many good reviews such as thi …