New F-theory lifts II: permutation orientifolds and enhanced singularities

Collinucci, Andrès

doi:10.1007/jhep04(2010)076

Cited by 62 publications

(90 citation statements)

References 49 publications

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“…This is clear e.g. by considering the uplift of U(1) fluxes of concrete Type IIB models along the lines and extending the analysis of [78][79][80]. In F-theory models with a given Type IIB limit the quantization of the fluxes can of course be inferred from the perturbative Freed-Witten condition.…”

Section: Jhep12(2011)004mentioning

confidence: 98%

Massive Abelian gauge symmetries and fluxes in F-theory

Grimm

Kerstan

Palti

et al. 2011

J. High Energ. Phys.

110

348

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F-theory compactified on a Calabi-Yau fourfold naturally describes nonAbelian gauge symmetries through the singularity structure of the elliptic fibration. In contrast Abelian symmetries are more difficult to study because of their inherently global nature. We argue that in general F-theory compactifications there are massive Abelian symmetries, such as the uplift of the Abelian part of the U(N ) gauge group on D7-branes, that arise from non-Kähler resolutions of the dual M-theory setup. The four-dimensional F-theory vacuum with vanishing expectation values for the gauge fields corresponds to the Calabi-Yau limit. We propose that fluxes that are turned on along these U(1)s are uplifted to non-harmonic four-form fluxes. We derive the effective four-dimensional gauged supergravity resulting from F-theory compactifications in the presence of the Abelian gauge factors including the effects of possible fluxes on the gauging, tadpoles and matter spectrum.

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Section: Jhep12(2011)004mentioning

confidence: 98%

Massive Abelian gauge symmetries and fluxes in F-theory

Grimm

Kerstan

Palti

et al. 2011

J. High Energ. Phys.

110

348

View full text Add to dashboard Cite

show abstract

“…Such effort relies on exploiting properties of a given weak coupling limit. Progress on that has been made in the past few years based essentially on Sen's limit [34], [23,36]. Generalization of the weak coupling limit to other models of elliptic fibrations were later obtained in [7,9].…”

Section: Absractmentioning

confidence: 99%

“…Global completions of GUT models have also been intensively studied [35][36][37][38][39][40][41][42][43], with special focus on SU(5) configurations. See [44] for a review on the subject and a more complete list of references.…”

Section: Absractmentioning

confidence: 99%

“…These conifold singularites can be avoided at the cost of working with elliptic fibrations for which the conifold points a 1 = σ = a 2,1 = 0 do not actually occur due to the intersection theory of the base [45]. Such geometries can be algorithmically constructed starting from type IIB, as explained in [36].…”

Section: Absractmentioning

confidence: 99%

“…It turns out that this 2-cycle is not manifest in a generic point of the moduli space ofB 3 . But if we constrain the complex structure moduli in a suitable way we are able to write this 2-cycle as a set of three algebraic equations in the ambient fourfold which automatically satisfy (5.10) (see [36,46], where similar techniques are used for elliptic fourfolds). One possible constraint which works is the following (5.12)…”

Section: Description Of the Resolutionmentioning

confidence: 99%

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Tate form and weak coupling limits in F-theory

Esole

Savelli

2013

J. High Energ. Phys.

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AbsractWe consider the weak coupling limit of F-theory in the presence of non-Abelian gauge groups implemented using the traditional ansatz coming from Tate's algorithm. We classify the types of singularities that could appear in the weak coupling limit and explain their resolution. In particular, the weak coupling limit of SU(n) gauge groups leads to an orientifold theory which suffers from conifold singulaties that do not admit a crepant resolution compatible with the orientifold involution. We present a simple resolution to this problem by introducing a new weak coupling regime that admits singularities compatible with both a crepant resolution and an orientifold symmetry. We also comment on possible applications of the new limit to model building. We finally discuss other unexpected phenomena as for example the existence of several non-equivalent directions to flow from strong to weak coupling leading to different gauge groups.

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On the computation of non‐perturbative effective potentials in the string theory landscape – IIB/F‐theory perspective –

Cvetič

García-Etxebarria

Halverson

2011

Fortschritte der Physik

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Abstract:We discuss a number of issues arising when computing non-perturbative effects systematically across the string theory landscape. In particular, we cast the study of fairly generic physical properties into the language of computability/number theory and show that this amounts to solving systems of diophantine equations. In analogy to the negative solution to Hilbert's 10th problem, we argue that in such systematic studies there may be no algorithm by which one can determine all physical effects. We take large volume type IIB compactifications as an example, with the physical property of interest being the low-energy non-perturbative F-terms of a generic compactification. A similar analysis is expected to hold for other kinds of string vacua, and we discuss in particular the extension of our ideas to F-theory. While these results imply that it may not be possible to systematically answer certain physical questions about generic type IIB compactifications, we identify particular Calabi-Yau manifolds in which the diophantine equations become linear, and thus can be systematically solved.As part of the study of the required systematics of F-terms, we develop technology for computing Z 2 equivariant line bundle cohomology on toric varieties, which determines the presence of particular instanton zero modes via the Koszul complex. This is of general interest for realistic IIB model building on complete intersections in toric ambient spaces.

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New F-theory lifts II: permutation orientifolds and enhanced singularities

Cited by 62 publications

References 49 publications

Massive Abelian gauge symmetries and fluxes in F-theory

Massive Abelian gauge symmetries and fluxes in F-theory

Tate form and weak coupling limits in F-theory

On the computation of non‐perturbative effective potentials in the string theory landscape – IIB/F‐theory perspective –

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