Supermembrane origin of type II gauged supergravities in 9D

A. Restuccia; J. M. Pena; M. P. Garcia del Moral

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Supermembrane origin of type II gauged supergravities in 9D

M. P. Garcia del Moral, J. M. Pena, A. Restuccia

High Energy Physics - Theory · Submitted 13 Mar 2012

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The M-theory origin of the IIB gauged supergravities in nine dimensions, classified according to the inequivalent classes of monodromy, is shown to exactly corresponds to the global description of the supermembrane with central charges.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

The M-theory origin of the IIB gauged supergravities in nine dimensions, classified according to the inequivalent classes of monodromy, is shown to exactly corresponds to the global description of the supermembrane with central charges. The global description is a realization of the sculpting mechanism of gauging (arXiv:1107.3255) and it is associated to particular deformation of fibrations. The supermembrane with central charges may be formulated in terms of sections on symplectic torus bundles with SL(2,Z) monodromy. This global formulation corresponds to the gauging of the abelian subgroups of SL(2,Z) associated to monodromies acting on the target torus. We show the existence of the trombone symmetry in the supermembrane formulated as a non-linear realization of the SL(2,Z) symmetry and construct its gauging in terms of the supermembrane formulated on an inequivalent class of symplectic torus fibration. The supermembrane also exhibits invariance under T-duality and we find the explicit T-duality transformation. It has a natural interpretation in terms of the cohomology of the base manifold and the homology of the target torus. We conjecture that this construction also holds for the IIA origin of gauged supergravities in 9D such that the supermembrane becomes the origin of all type II supergravities in 9D. The geometric structure of the symplectic torus bundle goes beyond the classification on conjugated classes of SL(2,Z). It depends on the elements of the coinvariant group associated to the monodromy group. The possible values of the (p,q) charges on a given symplectic torus bundle are restricted to the corresponding equivalence class defining the element of the coinvariant group.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The M-theory origin of the IIB gauged supergravities in nine dimensions, classified according to the inequivalent classes of monodromy, is shown to exactly corresponds to the global description of the supermembrane with central charges.	result 0.91	0.87	0.82	asserted 1.00
s1	The global description is a realization of the sculpting mechanism of gauging (arXiv:1107.3255) and it is associated to particular deformation of fibrations.	interpretation 0.79	0.34	0.07	asserted 1.00
s2	The supermembrane with central charges may be formulated in terms of sections on symplectic torus bundles with SL(2,Z) monodromy.	method 0.58	0.41	0.08	hedged possibility 0.99
s3	This global formulation corresponds to the gauging of the abelian subgroups of SL(2,Z) associated to monodromies acting on the target torus.	interpretation 0.62	0.46	0.11	asserted 1.00
s4	We show the existence of the trombone symmetry in the supermembrane formulated as a non-linear realization of the SL(2,Z) symmetry and construct its gauging in terms of the supermembrane formulated on an inequivalent class of symplectic torus fibration.	result 0.56	0.94	0.13	asserted 1.00
s5	The supermembrane also exhibits invariance under T-duality and we find the explicit T-duality transformation.	result 0.95	0.90	0.04	asserted 1.00
s6	It has a natural interpretation in terms of the cohomology of the base manifold and the homology of the target torus.	interpretation 1.00	0.54	0.04	asserted 0.96
s7	We conjecture that this construction also holds for the IIA origin of gauged supergravities in 9D such that the supermembrane becomes the origin of all type II supergravities in 9D.	future work 0.91	0.25	0.27	speculative 1.00
s8	The geometric structure of the symplectic torus bundle goes beyond the classification on conjugated classes of SL(2,Z).	result 0.74	0.65	0.06	asserted 1.00
s9	It depends on the elements of the coinvariant group associated to the monodromy group.	result 0.66	0.47	0.05	asserted 1.00
s10	The possible values of the (p,q) charges on a given symplectic torus bundle are restricted to the corresponding equivalence class defining the element of the coinvariant group.	result 0.93	0.64	0.07	asserted 0.82

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.97.

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Original abstract

The M-theory origin of the IIB gauged supergravities in nine dimensions, classified according to the inequivalent classes of monodromy, is shown to exactly corresponds to the global description of the supermembrane with central charges. The global description is a realization of the sculpting mechanism of gauging (arXiv:1107.3255) and it is associated to particular deformation of fibrations. The supermembrane with central charges may be formulated in terms of sections on symplectic torus bundles with SL(2,Z) monodromy. This global formulation corresponds to the gauging of the abelian subgroups of SL(2,Z) associated to monodromies acting on the target torus. We show the existence of the trombone symmetry in the supermembrane formulated as a non-linear realization of the SL(2,Z) symmetry and construct its gauging in terms of the supermembrane formulated on an inequivalent class of symplectic torus fibration. The supermembrane also exhibits invariance under T-duality and we find the explicit T-duality transformation. It has a natural interpretation in terms of the cohomology of the base manifold and the homology of the target torus. We conjecture that this construction also holds for the IIA origin of gauged supergravities in 9D such that the supermembrane becomes the origin of all type II supergravities in 9D. The geometric structure of the symplectic torus bundle goes beyond the classification on conjugated classes of SL(2,Z). It depends on the elements of the coinvariant group associated to the monodromy group. The possible values of the (p,q) charges on a given symplectic torus bundle are restricted to the corresponding equivalence class defining the element of the coinvariant group.

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References

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4 arXiv papers cite this in 12 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 11 sentences without a confident label

Cites it as support 1 paper

In fact, it was already shown in [ref] that the eight inequivalent classes of M2-branes with nontrivial monodromy are in correspondence, in the low energy limit, with the type II gauged supergravities in 9D.

Type IIB parabolic ($p,q$)-strings from M2-branes with fluxes · Mass operator of the parabolic ($p,q$)-string · 0.96

What it cites · 26 sentences without a confident label

Builds on 3 papers

In this section we develop the global construction found in [ref] , characterizing in deeper detail its connection with the $SL(2,ℤ)$ gaugings in supergravity in 9D.

SL(2,Z) symmetries, Supermembranes and Symplectic Torus Bundles · The Supermembrane as a Symplectic Torus Bundle with Monodromy in $SL(2,ℤ)$. · 0.81
Following the lines of [ref] , we are going to generalize the compensating transformation for arbitrary values of the moduli $τ$.

Spectrum-generating Symmetries for BPS Solitons · The Trombone Symmetry on the Compactified M2 with Central Charges · 0.84
Following the lines of the noncommutative torus of [ref] [The work of [ref] is mainly done in flat space with Moyal star product in which the noncommutative parameter is given by the 2-form, however as it is signalled in the paper, it can be generalized to curved manifolds, for which the star product is changed to a deformation quantization star product ( for example in our case it corresponds to a Fedosov-like product) and then, an additional choice of Poisson structure appears.], we can interpret $C_-rs=F_rs$ in our case the nondegenerate 2-form associated to the central charge condition, then $∫_Σ F_rs=n$ and at the level the noncommutative structure of the 2-torus in string theory the nonvanishing three form corresponds to the presence of nonvanishing $B_ij$ field [ref] in the closed string sector.

T-duality and closed string non-commutative (doubled) geometry · T-Duality on Symplectic Bundles · 0.84

Uses the method or tool of 2 papers

This global description was derived following the sculpting mechanism in [ref] .

A New Mechanism for Gauging a Theory · Introduction · 1.00
We first follow the approach [ref] and work out the general compensator in the context of the supermembrane theory.

Spectrum-generating Symmetries for BPS Solitons · Gauging of the Trombone Symmetry on the Supermembrane. · 0.98

Cites as support 1 paper

We showed that the formulation of the supermembrane in terms of sections of the symplectic torus bundle with a monodromy is a natural way to understand the M-theory origin of the gauging procedures in supergravity theories [ref] .

SL(2,Z) symmetries, Supermembranes and Symplectic Torus Bundles · Discussion and Conclusions · 0.96

Cites as background 5 papers

Since we will make use of them we will describe them shortly[To simplify the notation we keep the one used in [ref] and summarize their results focusing only in the monodromy analysis.].

(Non-)Abelian Gauged Supergravities in Nine Dimensions · Preliminars · 0.85
Earlier attempts to establish the connection between the gauging of the supermembrane and that of 9D gauged supergravities can be found in [ref] , [ref] .

Lorentz-Covariant Non-Abelian Gauging of Supermembrane · Introduction · 0.95
These symmetries where called trombone by [ref] .

Spectrum-generating Symmetries for BPS Solitons · Preliminars · 0.98

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