City Research Online

Invariants of toric seiberg duality

Hanany, A., He, Y., Jejjala, V. , Pasukonis, J., Ramgoolam, S. & Rodriguez-Gomez, D. (2012). Invariants of toric seiberg duality. International Journal of Modern Physics A (ijmpa), 27(1), 1250002. doi: 10.1142/S0217751X12500029


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.

Publication Type: Article
Additional Information: Electronic version of an article published as International Journal of Modern Physics A, Volume 27, Issue 01, 10 January 2012, 1250002, © copyright World Scientific Publishing Company,
Publisher Keywords: Supersymmetry and duality; supersymmetric gauge theory
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology > Mathematics
Text - Accepted Version
Download (689kB) | Preview



Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login