Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-03-30
Nucl.Phys.B444:161-190,1995
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, harvmac. Equation (3.14) and miscellaneous typos corrected. (Error in section 5.2 has been corrected in 1999 version
Scientific paper
10.1016/0550-3213(95)00186-V
It is argued that many linear (0,2) models flow in the infrared to conformally invariant solutions of string theory. The strategy in the argument is to show that the effective space-time superpotential must vanish because there is no place where it can have a pole. This conclusion comes from either of two different analyses, in which the Kahler class or the complex structure of the gauge bundle is varied, while keeping everything else fixed. In the former case, we recover from the linear sigma model the usual simple pole in the ${\bf \bar {27}}^3$ Yukawa coupling but show that an analogous pole does not arise in the couplings of gauge singlet modes. In the latter case, a dimension count shows that the world-sheet instanton sum does not ``see'' the singularities of the gauge bundle and hence cannot have a pole.
Silverstein Eva
Witten Edward
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