Fermion Zero Modes and Cosmological Constant
摘要
A general condition for the existence of fermion zero modes is derived for the M-5-brane, the M-2-brane and the D=4, N=2 Majumdar-Papapetrou 0-brane. The fermion zero modes of these p-branes do not exist if the supersymmetry spinor generator goes to a constant at the horizon and they exist only if it vanishes there. In particular it is shown that the fermion zero mode of the M-2-brane in D=11 can be forbidden from existence if Rarita-Schwinger gamma tracelessness condition is imposed on the gravitino field. Non-existence of fermion zero mode is interpreted, in analogy to the three dimensional example of Becker et.al., as a world with zero cosmological constant without supersymmetric excited states. Also derived are the spin of the M-5-brane and its 3-form electric and magnetic dipole moments.
引用
@article{arxiv.hep-th/9811082,
title = {Fermion Zero Modes and Cosmological Constant},
author = {K. Z. Win},
journal= {arXiv preprint arXiv:hep-th/9811082},
year = {2007}
}
备注
11 pages of plain TeX. Harvmac b