Weak supersymmetry and superconformal indices
arXiv:2407.12513 · doi:10.1016/j.physletb.2024.138889
Abstract
One-dimensional quantum mechanical models obeying Smilga's weak supersymmetry are described in the matrix form. They are related to the parasupersymmetric and higher-order derivative deformations of the standard supersymmetric models discussed earlier. Their superconformal indices are computed and shown to be equivalent to the Witten indices for the second order supersymmetric quantum mechanics.
14 pp, minor corrections
References in corpus (16)
- Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
- An Index for 4 dimensional Super Conformal Theories
- Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
- Counting chiral primaries in N=1 d=4 superconformal field theories
- Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
- Higher-Derivative Supersymmetry and the Witten Index
- Elliptic hypergeometry of supersymmetric dualities
- Essays on the theory of elliptic hypergeometric functions
- Universal Superpositions of Coherent States and Self-Similar Potentials
- Elliptic hypergeometry of supersymmetric dualities II. Orthogonal groups, knots, and vortices
- Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations
- The supersymmetric index in four dimensions
- Deformed Conformal and Supersymmetric Quantum Mechanics
- Weak supersymmetry
- Deformed Supersymmetric Mechanics
- Witten index for weak supersymmetric systems: invariance under deformations