Open Access
June 2014 The Sen limit
Adrian Clingher, Ron Donagi, Martijn Wijnholt
Adv. Theor. Math. Phys. 18(3): 613-658 (June 2014).


$F$-theory compactifications on elliptic Calabi-Yau manifolds may be related to IIb compactifications by taking a certain limit in complex structure moduli space, introduced by A. Sen. The limit has been characterized on the basis of $SL(2, \mathrm{Z})$ monodromies of the elliptic fibration. Instead, we introduce a stable version of the Sen limit. In this picture the elliptic Calabi-Yau splits into two pieces, a $\mathbf{P}^1$-bundle and a conic bundle, and the intersection yields the IIb space-time.We get a precise match between $F$-theory and perturbative type IIb. The correspondence is holographic, in the sense that physical quantities seemingly spread in the bulk of the $F$-theory Calabi-Yau may be rewritten as expressions on the log boundary. Smoothing the $F$-theory Calabi-Yau corresponds to summing up the $D(-1)$-instanton corrections to the IIb theory.


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Adrian Clingher. Ron Donagi. Martijn Wijnholt. "The Sen limit." Adv. Theor. Math. Phys. 18 (3) 613 - 658, June 2014.


Published: June 2014
First available in Project Euclid: 31 October 2014

zbMATH: 1314.81143
MathSciNet: MR3274790

Rights: Copyright © 2014 International Press of Boston

Vol.18 • No. 3 • June 2014
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