Non-geometric fluxes and mixed-symmetry potentials

Bergshoeff, Eric; Penas, Victor Alejandro; Riccioni, Fabio; Risoli, Stefano

doi:10.48550/arxiv.1508.00780

Cited by 4 publications

(25 citation statements)

References 19 publications

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“…The NS ′ and RR ′ fluxes, together with the RR, NS and P ones, give a total of 128 components, which are all the fluxes that can be included in the model. 7 The outcome of this analysis is that we manage to derive the most general expression for the superpotential for both the IIB and IIA theory, and in the IIB case this expression coincides with the one derived in [9].…”

Section: Introductionsupporting

confidence: 54%

“…In the IIB theory one can also include the flux P bc a which is the S-dual of Q bc a , and derive the way this flux enters the N = 1 superpotential [6]. In [7] it was shown that the fluxes that are related by T-duality to P bc a in any dimension are P b 1 ..bp a and P a,b 1 ...bp , where p is even in IIB and odd in IIA and the b indices are completely antisymmetrised. 3 In particular, T-duality acts according to the rule [ and the fluxes are such that if a is upstairs it coincides with one of the b indices, while if it is downstairs it differs from all the b indices.…”

Section: Introductionmentioning

confidence: 99%

“…In the IIB/O3-orientifold model, the S modulus is the axion-dilaton, the T i moduli are the complex Kähler moduli which are given in terms of the Kähler form and the RR 4-form, and the U i moduli are the complex structure moduli. In the low-energy supergravity theory in the absence of fluxes, each of these moduli parametrises the coset SL(2, R)/SO(2), and the global symmetry SL(2, R) 7 is conjectured to be broken to SL(2, Z) 7 in the full theory. The IIA/O6-orientifold arises from performing three T-dualities, one on each torus (following [6], in this paper we take these directions to be the three x directions).…”

Section: Introductionmentioning

confidence: 99%

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Non-geometric fluxes & tadpole conditions for exotic branes

Lombardo

Riccioni

Risoli

2017

J. High Energ. Phys.

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We extend the P-flux analysis carried out recently on the T 6 /[Z 2 × Z 2 ] type-II orientifold model to include all the possible non-geometric fluxes. By deriving universal T-duality rules for all the fluxes, we are able to write down a complete expression for the superpotential for both the IIB and IIA theories. By exploiting the universal T-duality rules that apply to all the branes in string theory, we then identify all the exotic branes that can be consistently included to cancel the tadpoles induced by the fluxes. Finally, we derive the representations of these branes with respect to the SL(2, Z) 7 duality symmetry of the model.

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Section: Introductionsupporting

confidence: 54%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Non-geometric fluxes & tadpole conditions for exotic branes

Lombardo

Riccioni

Risoli

2017

J. High Energ. Phys.

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“…They are present in abundance in the E 11 approach [8] as brane charges [9,10]. This also indicates that, string-theoretically, low codimension branes (such as exotic, solitonic branes, domain walls and spacetime filling ones) couple electrically to mixed symmetry tensor fields [11][12][13][14][15][16][17][18][19], which can be exotic electromagnetic duals of the graviton or the Kalb-Ramond field. As such they are generalizations of magnetic monopoles both in higher dimensions and for (linearized) gravity.…”

Section: Motivationmentioning

confidence: 99%

“…Such a brane is expected to source non-geometric R flux [15,43]. Moreover, there is evidence that this and other similar branes couple to mixed symmetry potentials, namely bipartite and multipartite tensors [11,12,[14][15][16], a property whose origins may be found in the more general setting of the non-linear realization of the group E 11 [8][9][10]. In the example at hand, the 5 3 2brane couples to a (9, 3) mixed symmetry tensor.…”

Section: Comments On the Extremal Case P=0 And Domain Wallsmentioning

confidence: 99%

A Unified Approach to Standard and Exotic Dualizations Through Graded Geometry

Chatzistavrakidis

Karagiannis

Schupp

2020

Commun. Math. Phys.

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Gauge theories can often be formulated in different but physically equivalent ways, a concept referred to as duality. Using a formalism based on graded geometry, we provide a unified treatment of all parent theories for different types of standard and exotic dualizations. Our approach is based on treating tensor fields as functions of a certain degree on graded supermanifolds equipped with a suitable number of odd coordinates. We present a universal two-parameter first order action for standard and exotic electric/magnetic dualizations and prove in full generality that it yields two dual second order theories with the desired field content and dynamics. Upon choice of parameters, the parent theory reproduces (i) the standard and exotic duals for p-forms and (ii) the standard and double duals for (p, 1) bipartite tensor fields, such as the linearized graviton and the Curtright field. Moreover, we discuss how deformations related to codimension-1 branes are included in the parent theory.

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Weaving the exotic web

Fernandez-Melgarejo

Kimura

Sakatani

2018

J. High Energ. Phys.

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String and M-theory contain a family of branes forming U -duality multiplets. In particular, standard branes with codimension higher than or equal to two, can be explicitly found as supergravity solutions. However, whether domain-wall branes and space-filling branes can be found as supergravity solutions is still unclear. In this paper, we firstly provide a full list of exotic branes in type II string theory or M-theory compactified to three or higher dimensions. We show how to systematically obtain backgrounds of exotic domain-wall branes and space-filling branes as solutions of the double field theory or the exceptional field theory. Such solutions explicitly depend on the winding coordinates and cannot be given as solutions of the conventional supergravity theories. However, as the domain-wall solutions depend linearly on the winding coordinates, we describe them as solutions of deformed supergravities such as the Romans massive IIA supergravity or lower-dimensional gauged supergravities. We establish explicit relations among the domain-wall branes, the mixed-symmetry potentials, the locally non-geometric fluxes, and deformed supergravities. *

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Non-geometric fluxes and mixed-symmetry potentials

Cited by 4 publications

References 19 publications

Non-geometric fluxes & tadpole conditions for exotic branes

Non-geometric fluxes & tadpole conditions for exotic branes

A Unified Approach to Standard and Exotic Dualizations Through Graded Geometry

Weaving the exotic web

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