2 research outputs found
A Comment on the chi_y Genus and Supersymmetric Quantum Mechanics
In this note we show that a simple modification of supersymmetric quantum
mechanics involving a mass term for half the fermions naturally leads to a
derivation of the integral formula for the chi_y genus, a quantity that
interpolates between the Euler characteristic and arithmetic genus. We note
that this modification naturally arises in the moduli space dynamics of
monopoles or instantons in theories with 16 supercharges partially broken to 8
supercharges by mass terms.Comment: 6 pages, JHEP, References adde
The Phase Structure of Mass-Deformed SU(2)xSU(2) Quiver Theory
The phase structure of the finite SU(2)xSU(2) theory with N=2 supersymmetry,
broken to N=1 by mass terms for the adjoint-valued chiral multiplets, is
determined exactly by compactifying the theory on a circle of finite radius.
The exact low-energy superpotential is constructed by identifying it as a
linear combination of the Hamiltonians of a certain symplectic reduction of the
spin generalized elliptic Calogero-Moser integrable system. It is shown that
the theory has four confining, two Higgs and two massless Coulomb vacua which
agrees with a simple analysis of the tree-level superpotential of the
four-dimensional theory. In each vacuum, we calculate all the condensates of
the adjoint-valued scalars.Comment: 12 pages, JHEP.cl