期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 1, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP01(2013)175
关键词
Supersymmetric gauge theory; Duality in Gauge Field Theories; Chern-Simons Theories; Differential and Algebraic Geometry
资金
- Japan Ministry of Education, Culture, Sports, Science and Technology [217401791]
- DOE [DE-FG03-92-ER40701FG-02]
- NSF [PHY-0757647]
- FCT - Fundacao para a Ciencia e a Tecnologia [PTDC/MAT/101503/2008]
- Ministry of Science of Serbia [174012]
- European Commission
- Foundation for Polish Science
- Grants-in-Aid for Scientific Research [21740179] Funding Source: KAKEN
We study singularities of algebraic curves associated with 3d N = 2 theories that have at least one global flavor symmetry. Of particular interest is a class of theories T-K labeled by knots, whose partition functions package Poincare polynomials of the S-r-colored HOMFLY homologies. We derive the defining equation, called the super-A-polynomial, for algebraic curves associated with many new examples of 3d N = 2 theories T-K and study its singularity structure. In particular, we catalog general types of singularities that presumably exist for all knots and propose their physical interpretation. A computation of super-A-polynomials is based on a derivation of corresponding superpolynomials, winch is interesting in its own right and relies solely on a structure of differentials in S-r-colored HOMFLY homologies.
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