TY - JOUR

T1 - Global U(1) R-symmetry and conformal invariance of (0,2) models

AU - Silverstein, Eva

AU - Witten, Edward

N1 - Funding Information:
We would like to thank J. Distler for suggesting that we study the left U(1). E.S. is supported by an N.S.E Graduate Fellowship and an AT&T GRPW Grant. E.W. is supported in part by N.S.F. Grant PHY92-45 317.

PY - 1994/6/2

Y1 - 1994/6/2

N2 - We derive a condition under which (0,2) linear sigma models possess a "left-moving" conformal stress tensor in Q+ cohomology (i.e. which leaves invariant the "right-moving" ground states) even away from their critical points. At the classical level this enforces quasihomogeneity of the superpotential terms. The persistence of this structure at the quantum level on the worldsheet is obstructed by an anomaly unless the charges and superpotential degrees satisfy a condition which is equivalent to the condition for the cancellation of the anomaly in a particular "right-moving" U(1) R-symmetry.

AB - We derive a condition under which (0,2) linear sigma models possess a "left-moving" conformal stress tensor in Q+ cohomology (i.e. which leaves invariant the "right-moving" ground states) even away from their critical points. At the classical level this enforces quasihomogeneity of the superpotential terms. The persistence of this structure at the quantum level on the worldsheet is obstructed by an anomaly unless the charges and superpotential degrees satisfy a condition which is equivalent to the condition for the cancellation of the anomaly in a particular "right-moving" U(1) R-symmetry.

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U2 - 10.1016/0370-2693(94)91484-2

DO - 10.1016/0370-2693(94)91484-2

M3 - Article

AN - SCOPUS:0001017753

VL - 328

SP - 307

EP - 311

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -