[PPT] - The E 11 origin of gauged maximal supergravities Fabio Riccioni PowerPoint Presentation

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The E11 origin of gauged maximal supergravities

Fabio Riccioni

King’s College London based on work with Peter West arXiv:0705.0752

The E11 origin ofgauged maximal supergravities – p. 1/3

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Introduction

Massless maximal supergravities all arise from dimensional reduction of 11-dimensional and IIB supergravities.

The E11 origin ofgauged maximal supergravities – p. 2/3

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Introduction

Massless maximal supergravities all arise from dimensional reduction of 11-dimensional and IIB supergravities. In any dimension, the theory is unique, and has a global symmetry G.

The E11 origin ofgauged maximal supergravities – p. 2/3

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Introduction

Massless maximal supergravities all arise from dimensional reduction of 11-dimensional and IIB supergravities. In any dimension, the theory is unique, and has a global symmetry G. The scalars parametrise the manifold G/H, where H is the maximal compact subgroup of G.

The E11 origin ofgauged maximal supergravities – p. 2/3

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Introduction

D G 10A

R+

10B

SL(2, R)

9 SL(2, R) × R+

8 SL(3, R) × SL(2, R)

7 SL(5, R)

6 SO(5, 5)

5 E6(+6)

4 E7(+7)

3 E8(+8)

The E11 origin ofgauged maximal supergravities – p. 3/3

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Introduction

Gauging: some of the vectors group to form the adjoint of a subgroup of G

The E11 origin ofgauged maximal supergravities – p. 4/3

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Introduction

Gauging: some of the vectors group to form the adjoint of a subgroup of G Correspondingly, a potential for the scalars arises, which contains mass parameters

→ Massive theories

The E11 origin ofgauged maximal supergravities – p. 4/3

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Introduction

Gauging: some of the vectors group to form the adjoint of a subgroup of G Correspondingly, a potential for the scalars arises, which contains mass parameters

→ Massive theories

Although some of these theories can be seen as Scherk-Schwarz compactifications, or as reductions with fluxes turned on, in general a complete understanding of such theories in terms of higher dimensional ones is lacking

The E11 origin ofgauged maximal supergravities – p. 4/3

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Introduction

Simplest example: Romans’ massive IIA (not actually a gauged theory)

The E11 origin ofgauged maximal supergravities – p. 5/3

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Introduction

Simplest example: Romans’ massive IIA (not actually a gauged theory) This theory describes the bulk of IIA in the presence of

D8-branes

The E11 origin ofgauged maximal supergravities – p. 5/3

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Introduction

Simplest example: Romans’ massive IIA (not actually a gauged theory) This theory describes the bulk of IIA in the presence of

D8-branes

This theory does not arise from 11-dimensional supergravity

The E11 origin ofgauged maximal supergravities – p. 5/3

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Introduction

Simplest example: Romans’ massive IIA (not actually a gauged theory) This theory describes the bulk of IIA in the presence of

D8-branes

This theory does not arise from 11-dimensional supergravity

E11 provides an 11-dimensional origin of all maximal

supergravities (and much more...)

The E11 origin ofgauged maximal supergravities – p. 5/3

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