TY - JOUR
T1 - Modular Constraints on Calabi-Yau Compactifications
AU - Keller, Christoph A.
AU - Ooguri, Hirosi
N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2013/11
Y1 - 2013/11
N2 - We derive global constraints on the non-BPS sector of supersymmetric 2d sigma-models whose target space is a Calabi-Yau manifold. When the total Hodge number of the Calabi-Yau threefold is sufficiently large, we show that there must be non-BPS primary states whose total conformal weights are less than 0.656. Moreover, the number of such primary states grows at least linearly in the total Hodge number. We discuss implications of these results for Calabi-Yau geometry.
AB - We derive global constraints on the non-BPS sector of supersymmetric 2d sigma-models whose target space is a Calabi-Yau manifold. When the total Hodge number of the Calabi-Yau threefold is sufficiently large, we show that there must be non-BPS primary states whose total conformal weights are less than 0.656. Moreover, the number of such primary states grows at least linearly in the total Hodge number. We discuss implications of these results for Calabi-Yau geometry.
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U2 - 10.1007/s00220-013-1797-8
DO - 10.1007/s00220-013-1797-8
M3 - Article
AN - SCOPUS:84885571137
VL - 324
SP - 107
EP - 127
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
SN - 0010-3616
IS - 1
ER -