TY - JOUR

T1 - Strong coupling expansion of Calabi-Yau compactification

AU - Witten, Edward

N1 - Funding Information:
1 Research supported in part by NSF grant PHY92-45317.

PY - 1996/7/8

Y1 - 1996/7/8

N2 - In a certain strong coupling limit, compactification of the E8 × E8 heterotic string on a Calabi-Yau manifold X can be described by an eleven-dimensional theory compactified on X × S1/ℤ2. In this limit, the usual relations among low-energy gauge couplings hold, but the usual (problematic) prediction for Newton's constant does not. In this paper, the equations for unbroken supersymmetry are expanded to the first non-trivial order, near this limit, verifying the consistency of the description and showing how, in some cases, if one tries to make Newton's constant too small, strong coupling develops in one of the two E8's. The lower bound on Newton's constant (beyond which strong coupling develops) is estimated and is relatively close to the actual value.

AB - In a certain strong coupling limit, compactification of the E8 × E8 heterotic string on a Calabi-Yau manifold X can be described by an eleven-dimensional theory compactified on X × S1/ℤ2. In this limit, the usual relations among low-energy gauge couplings hold, but the usual (problematic) prediction for Newton's constant does not. In this paper, the equations for unbroken supersymmetry are expanded to the first non-trivial order, near this limit, verifying the consistency of the description and showing how, in some cases, if one tries to make Newton's constant too small, strong coupling develops in one of the two E8's. The lower bound on Newton's constant (beyond which strong coupling develops) is estimated and is relatively close to the actual value.

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U2 - 10.1016/0550-3213(96)00190-3

DO - 10.1016/0550-3213(96)00190-3

M3 - Article

AN - SCOPUS:0030575242

VL - 471

SP - 135

EP - 158

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -