TY - JOUR

T1 - Fayet-Iliopoulos terms in string theory

AU - Dine, M.

AU - Seiberg, N.

AU - Witten, E.

N1 - Funding Information:
We thank L, Dixon and J. Harvey and V. Kaplunovsky for discussions. The work of M.D. was supported in part by DOE grant DE-AC02-83ER40107, and by an Alfred P. Sloan Foundation fellowship; that of N.S. by DOE contract DE-AC02-76ER02220 and a BSF grant and that of E.W. by NSF grant PHY-80-19754.

PY - 1987

Y1 - 1987

N2 - For vacua of string theory which leave unbroken N = 1 supersymmetry in the leading approximation, non-renormalization theorems guarantee that higher order (string or sigma model) perturbative corrections do not modify the space-time superpotential. If the low energy gauge group contains U(1) factors, this is not enough to ensure that the low energy physics is perturbatively stable. It is still possible to generate a Fayet-Iliopoulos D-term. We show that under certain conditions such a term is generated, and destabilizes the vacuum. This is a counterexample to various claims about the universal absence of quantum tadpoles when expanding around a classical solution with unbroken supersymmetry. Whether, in a given model, the generation of a D-term will destabilize the vacuum (or merely change the pattern of symmetry breaking) can be determined from properties of the low energy effective action.

AB - For vacua of string theory which leave unbroken N = 1 supersymmetry in the leading approximation, non-renormalization theorems guarantee that higher order (string or sigma model) perturbative corrections do not modify the space-time superpotential. If the low energy gauge group contains U(1) factors, this is not enough to ensure that the low energy physics is perturbatively stable. It is still possible to generate a Fayet-Iliopoulos D-term. We show that under certain conditions such a term is generated, and destabilizes the vacuum. This is a counterexample to various claims about the universal absence of quantum tadpoles when expanding around a classical solution with unbroken supersymmetry. Whether, in a given model, the generation of a D-term will destabilize the vacuum (or merely change the pattern of symmetry breaking) can be determined from properties of the low energy effective action.

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U2 - 10.1016/0550-3213(87)90395-6

DO - 10.1016/0550-3213(87)90395-6

M3 - Article

AN - SCOPUS:0000873525

SN - 0550-3213

VL - 289

SP - 589

EP - 598

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - C

ER -