Non-geometric fluxes &amp; tadpole conditions for exotic branes

Lombardo, D.; Riccioni, Fabio; Risoli, Stefano

doi:10.1007/jhep10(2017)134

Cited by 18 publications

(20 citation statements)

References 77 publications

(251 reference statements)

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“…Although the analysis in this paper was performed uniquely in terms of the branes of the IIB theory, it would be interesting to reinterpret this from the point of view of IIA and also from the point of view of M-theory. In particular, the analysis of the tadpole conditions for all the possible fluxes that can be included in the T 6 / (Z 2 × Z 2 ) orientifold was performed in [30] also in the case of the IIA O6 orientifold, and this could then be compared with the techniques developed in this paper.…”

Section: Discussionmentioning

confidence: 99%

“…These fluxes satisfy Bianchi identities, and we will show that these Bianchi identities are in the same representations as the space-filling branes that preserve the same supersymmetry of the orbifold. Again, the SL(2, R) 7 analysis performed in [30] will be crucial to get this result. The result also applies to T 4 /Z 2 × T n orientifolds.…”

Section: Jhep07(2018)006mentioning

confidence: 97%

“…Minimal supersymmetry does not require any quadratic constraint for the embedding tensor, and consistently we find that all the highest-dimensional representations of the quadratic constraints of the N = 2 theory that survive the Z 2 truncation coincide with the representations of the space-filling branes which preserve the same supersymmetry of the truncation. To obtain this result, we will use the analysis of [30], where the spacefilling branes of the SL(2, R) 7 N = 1 model that arises from the IIB O3/O7 T 6 /(Z 2 × Z 2 ) orientifold were derived.…”

Section: Jhep07(2018)006mentioning

confidence: 99%

“…One can recognise the first two as the two T-dual orientifold projections of the IIB theory on T 6 /(Z 2 × Z 2 ) [43,44], and the last as the projection on the heterotic sector. As we will show in detail in section 5, the 128 branes in each of these truncations are precisely those that are responsible for the cancellation of the tadpole conditions when all possible geometric and non-geometric fluxes are turned on, and for the O3/O7 x 1 y 1 x 2 y 2 /O7 x 1 y 1 x 3 y 3 / O7 x 2 y 2 x 3 y 3 orientifold case, they have been determined in [19,30]. D = 3: the three-dimensional theory with symmetry SO(4, 4) × SO(4, 4) can be truncated to the supergravity theory with four supersymmetry coupled to eight scalar multiplets and global symmetry (SL(2, R)) 8 .…”

Section: Jhep07(2018)006mentioning

confidence: 99%

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Space-filling branes & gaugings

Dibitetto

Riccioni

Risoli

2018

J. High Energ. Phys.

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We consider in any dimension the supersymmetric Z 2 truncations of the maximal supergravity theories. In each dimension and for each truncation we determine all the sets of 1/2-BPS space-filling branes, i.e. branes whose world-volume invades the whole of space-time, that preserve the supersymmetry of the truncated theory and the representations of the symmetry of such theory to which they belong. We show that in any dimension below eight these sets always contain exotic branes, that are objects that do not have a ten-dimensional origin. We repeat the same analysis for half-maximal theories and for the quarter-maximal theories in four and three dimensions. We then discuss all the possible gaugings of these theories as described in terms of the embedding tensor. In general, the truncation acts on the quadratic constraints of the embedding tensor in such a way that some representations survive the truncation although they are not required by the supersymmetry of the truncated theory. We show that for any theory, among these representations, the highest-dimensional ones are precisely those of the 1/2-BPS space-filling branes that preserve the same supersymmetry of the truncated theory, and we interpret this result as the fact that these quadratic constraints after the truncation become tadpole conditions for such branes.It is well known that the SO(32) type-I string theory in ten dimensions is obtained from the type-IIB theory by performing the orientifold projection [1,2]. In the closed sector, the projection is due to the O9-plane, while the open sector arises due to the presence of D9branes [3], and RR and NSNS tadpole cancellations correspond to the fact that the charge and tension of the O9-plane are cancelled by those of the D9-branes. In the low-energy theory, the projection in the closed sector acts as a Z 2 truncation to N = 1 supergravity, in which the spinors are halved and, among the gauge potentials, the NSNS 2-form B 2 and the RR 4-form C 4 are projected out, while the RR 2-form C 2 survives.From the point of view of supergravity, there is another consistent supersymmetric Z 2 truncation, in which all RR fields are projected out, leading to the gravity sector of the heterotic theory. The two truncations are related by S-duality. Denoting with ψ µ the gravitino of the IIB theory, which is a doublet of Majorana-Weyl spinors of the same 1 In [7] it was conjectured that the SO(32) heterotic theory can be obtained from type-IIB by performing the S-dual of the orientifold projection, and the charge and tension of the S-dual of the O9-plane are cancelled by these branes, that are the S-duals of the D9-branes and are defined as end-points of D-strings.

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Section: Discussionmentioning

confidence: 99%

Section: Jhep07(2018)006mentioning

confidence: 97%

Section: Jhep07(2018)006mentioning

confidence: 99%

Section: Jhep07(2018)006mentioning

confidence: 99%

See 2 more Smart Citations

Space-filling branes & gaugings

Dibitetto

Riccioni

Risoli

2018

J. High Energ. Phys.

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“…(2.20). In principle, there can be many other tadpole contributions and exotic branes in the presence of the so-called P -fluxes as have been studied in [10,[50][51][52]. Now considering the relevant flux actions for a concrete type IIA orientifold setup as given in eqn.…”

Section: Constraints From Tadpoles Cancellations and Bianchi Identitiesmentioning

confidence: 99%

Symplectic formulation of the type IIA nongeometric scalar potential

2018

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We study the four-dimensional (4D) scalar potential arising from a generalized type IIA flux superpotential including the (non-)geometric fluxes. First, we show that using a set of peculiar flux combinations, the 4D scalar potential can be formulated into a very compact form. This is what we call as the 'symplectic formulation' from which one could easily anticipate the ten-dimensional origin of the effective scalar potential. We support our formulation through an alternate derivation of the scalar potential via considering the Double Field Theory (DFT) reduction on a generic Calabi Yau orientifold. In addition, we also exemplify the insights of our formulation with explicit computations for two concrete toroidal examples using orientifolds of the complex threefolds T 6 /(Z 2 × Z 2 ) and T 6 /Z 4 .

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6D (1,1) gauged supergravities from orientifold compactifications

2020

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We study dimensional reductions of M-theory/type II strings down to 6D in the presence of fluxes and spacetime filling branes and orientifold planes of different types. We classify all inequivalent orientifold projections giving rise to N = (1, 1) supergravities in 6D and work out the embedding tensor/fluxes dictionary for each of those. Finally we analyze the set of vacua for the different classes of reductions and find an abundance of "no-scale" type Minkowski vacua, as well as a few novel examples of (A)dS extrema.

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Non-geometric fluxes & tadpole conditions for exotic branes

Cited by 18 publications

References 77 publications

Space-filling branes & gaugings

Space-filling branes & gaugings

Symplectic formulation of the type IIA nongeometric scalar potential

6D (1,1) gauged supergravities from orientifold compactifications

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