INVARIANTS OF TORIC SEIBERG DUALITY
2012 ◽
Vol 27
(01)
◽
pp. 1250002
◽
Keyword(s):
Three-branes at a given toric Calabi–Yau singularity lead to different phases of the conformal field theory related by toric (Seiberg) duality. Using the dimer model/brane tiling description in terms of bipartite graphs on a torus, we find a new invariant under Seiberg duality, namely the Klein j-invariant of the complex structure parameter in the distinguished isoradial embedding of the dimer, determined by the physical R-charges. Additional number theoretic invariants are described in terms of the algebraic number field of the R-charges. We also give a new compact description of the a-maximization procedure by introducing a generalized incidence matrix.
1993 ◽
Vol 08
(23)
◽
pp. 4031-4053
Keyword(s):
Keyword(s):