Keshav Dasgupta, Jihye Seo, Alisha Wissanji
F-theoretic constructions can alternatively be understood as consequences of
certain N = 2 Seiberg-Witten theories via type IIB r D3s probing the quantum
corrected orientifold backgrounds. We present four models that come out from
such consideration. In Model 1, the 7-branes wrap the flat R^4 directions,
leading to the well known Sp(2r) theories. We study singularity structure of
moduli space of Seiberg-Witten curve, such as maximal Argyres-Douglas loci, in
order to construct 1-1 map between moduli spaces. In Model 2, the 7-branes are
wrapped on Taub-NUT and multi Taub-NUT spaces instead of R^4. These
configurations may explain many of the Gaiotto-type constructions including
possible extensions to non-conformal models with cascading behaviors. In this
model the UV is described by the probe D3s decomposed into D5-anti D5 pairs
wrapped on multi Taub-NUT space, while the IR remains a 4d theory. For certain
arrangements of the 7-branes, this model may be dualized to the brane networks
of Benini, Benvenuti and Tachikawa. The Gaiotto dualities in Model 2 are
explained by chiral anomaly cancellations, anti-GSO projections and brane
transmutations. Model 3 is described by seven-branes wrapped on a K3 manifold
and D3 and anti-D3 probes whose number may differ at most by 24. These
constructions could lead to new N = 2 models with possible dualities to both
type IIB and heterotic theories on non-Kahler manifolds. In the limit where the
number of probes becomes very large, the physics is captured by M(atrix) theory
on K3 x K3 manifold. Finally, Model 4 is described by k D3s probing
intersecting seven-brane backgrounds with Sp(2k) x Sp(2k) gauge group. These
constructions could produce new N =1 heterotic dual on a non-Kahler K3 manifold
that is no longer conformally Calabi-Yau. We discuss possible constraints on
these models coming from global charge and anomaly cancellations in F-theory.
View original:
http://arxiv.org/abs/1107.3566
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