Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-05-05
Phys.Rev. D62 (2000) 087701
Physics
High Energy Physics
High Energy Physics - Theory
9pp, 2 figures
Scientific paper
10.1103/PhysRevD.62.087701
It is of considerable importance to have a numerical method for solving supersymmetric theories that can support a non-zero central charge. The central charge in supersymmetric theories is in general a boundary integral and therefore vanishes when one uses periodic boundary conditions. One is therefore prevented from studying BPS states in the standard supersymmetric formulation of DLCQ (SDLCQ). We present a novel formulation of SDLCQ where the fields satisfy anti-periodic boundary conditions. The Hamiltonian is written as the anti-commutator of two charges, as in SDLCQ. The anti-periodic SDLCQ we consider breaks supersymmetry at finite resolution, but requires no renormalization and becomes supersymmetric in the continuum limit. In principle, this method could be used to study BPS states. However, we find its convergence to be disappointingly slow.
Pinsky Stephen
Trittmann Uwe
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