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Three-forms in supergravity and flux compactifications

We present a duality procedure that relates conventional four-dimensional matter-coupled \(\mathcal{N}=1\) supergravities to dual formulations in which auxiliary fields are replaced by field strengths of gauge three-forms. The duality promotes specific coupling constants appearing in the superpotential to vacuum expectation values of the field strengths. We then apply this general ...

Warped Kähler potentials and fluxes

The four-dimensional effective theory for type IIB warped flux compactifications proposed in [1] is completed by taking into account the backreaction of the Kähler moduli on the three-form fluxes. The only required modification consists in a flux-dependent contribution to the chiral fields parametrising the Kähler moduli. The resulting supersymmetric effective theory satisfies the ...

Holographic effective field theories

Accepted: June Holographic e ective eld theories Luca Martucci 1 Alberto Za aroni 0 0 Dipartimento di Fisica, Universita di Milano-Bicocca 1 Dipartimento di Fisica ed Astronomia \Galileo Galilei

Hidden selection rules, M5-instantons and fluxes in F-theory

We introduce a new approach to investigate the selection rules governing the contributions of fluxed M5-instantons to the F-theory four-dimensional effective action, with emphasis on the generation of charged matter F-terms. The structure of such couplings is unraveled by exploiting the perturbative and non-perturbative homological relations, introduced in our companion paper [1], ...

Warping the Kähler potential of F-theory/IIB flux compactifications

We identify the low-energy Kähler potential of warped F-theory/IIB flux compactifications whose light spectrum includes universal, Kähler, axionic and mobile D3-brane moduli. The derivation is based on four-dimensional local superconformal symmetry and holomorphy of brane instanton contributions and it reproduces and generalises previous partial results. We compute the resulting ...

Non-perturbative selection rules in F-theory

We discuss the structure of charged matter couplings in 4-dimensional F-theory compactifications. Charged matter is known to arise from M2-branes wrapping fibral curves on an elliptic or genus-one fibration Y . If a set of fibral curves satisfies a homological relation in the fibre homology, a coupling involving the states can arise without exponential volume suppression due to a ...

The goldstino brane, the constrained superfields and matter in \( \mathcal{N}=1 \) supergravity

We show that different (brane and constrained superfield) descriptions for the Volkov-Akulov goldstino coupled to \( \mathcal{N}=1 \), D = 4 supergravity with matter produce similar wide classes of models with spontaneously broken local supersymmetry and discuss the relation between the different formulations. As with the formulations with irreducible constrained superfields, the ...

Topological duality twist and brane instantons in F-theory

Luca Martucci 0 0 Dipartimento di Fisica ed Astronomia Galileo Galilei, Universit`a di Padova and INFN Sezione di Padova , Via Marzolo 8, I-35131 Padova, Italy A variant of the topological twist

Brane induced supersymmetry breaking and de Sitter supergravity

We obtain a four-dimensional supergravity with spontaneously broken super-symmetry allowing for de Sitter vacua by coupling a superspace action of minimal N = 1, D = 4 supergravity to a locally supersymmetric generalization of the Volkov-Akulov goldstino action describing the dynamics of a space-filling non-BPS 3-brane in N = 1, D = 4 superspace. To the quadratic order in the ...

Symmetries, sum rules and constraints on effective field theories

Using unitarity, analyticity and crossing symmetry, we derive universal sum rules for scattering amplitudes in theories invariant under an arbitrary symmetry group. The sum rules relate the coefficients of the energy expansion of the scattering amplitudes in the IR to total cross sections integrated all the way up to the UV. Exploiting the group structure of the symmetry, we ...

DWSB in heterotic flux compactifications

We address the construction of non-supersymmetric vacua in heterotic compactifications with intrinsic torsion and background fluxes. In particular, we implement the approach of domain-wall supersymmetry breaking (DWSB) previously developed in the context of type II flux compactifications. This approach is based on considering backgrounds where probe NS5-branes wrapping internal ...