Subsectors, Dynkin Diagrams and New Generalised Geometries - INSPIRE

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Subsectors, Dynkin Diagrams and New Generalised Geometries

Charles Strickland-Constable
(
- Hamburg U., Inst. Theor. Phys. II
)

Oct 15, 2013

39 pages

Published in:

JHEP 08 (2017) 144

Published: Aug 31, 2017

e-Print:

1310.4196 [hep-th]

DOI:

10.1007/JHEP08(2017)144

Report number:

ZMP-HH-13-19

View in:

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Abstract: (Springer)

We examine how generalised geometries can be associated with a labelled Dynkin diagram built around a gravity line. We present a series of new generalised geometries based on the groups Spin(d, d) × ℝ

^{+}

for which the generalised tangent space transforms in a spinor representation of the group. In low dimensions these all appear in subsectors of maximal supergravity theories. The case d = 8 provides a geometry for eight-dimensional backgrounds of M theory with only seven-form flux, which have not been included in any previous geometric construction. This geometry is also one of a series of “half-exceptional” geometries, which “geometrise” a six-form gauge field. In the appendix, we consider exam-ples of other algebras appearing in gravitational theories and give a method to derive the Dynkin labels for the “section condition” in general. We argue that generalised geometry can describe restrictions and subsectors of many gravitational theories.

Note:

42 pages, v2: minor improvements and changes, published version

Differential and Algebraic Geometry
Flux compactifications
M-Theory
Supergravity Models
spinor: representation
group: representation
dimension: 8
geometry
gravitation
gauge field theory

References(129)

Figures(0)

[1]

Generalized Calabi-Yau manifolds

Nigel Hitchin
(
- Oxford U., Inst. Math.
)

- Quart.J.Math.Oxford Ser. 54 (2003) 281-308
•
e-Print:
- math/0209099
•
DOI:
- 10.1093/qjmath/54.3.281

[2]

Generalized complex geometry

Marco Gualtieri
(
- Oxford U.
)

e-Print:
- math/0401221

[2]

Generalized complex geometry

Marco Gualtieri

e-Print:
- math/0703298

[3]

Supergravity as Generalised Geometry I: Type II Theories

- JHEP 11 (2011) 091
•
e-Print:
- 1107.1733
•
DOI:
- 10.1007/JHEP11(2011)091

[4]

$E_{d(d)} \times \mathbb{R}^+$ generalised geometry, connections and M theory

- JHEP 02 (2014) 054
•
e-Print:
- 1112.3989
•
DOI:
- 10.1007/JHEP02(2014)054

[5]

Supergravity as Generalised Geometry II: $E_{d(d)} \times \mathbb{R}^+$ and M theory

- JHEP 03 (2014) 019
•
e-Print:
- 1212.1586
•
DOI:
- 10.1007/JHEP03(2014)019

[6]

Leibniz algebroids, twistings and exceptional generalized geometry

David Baraglia
(
- Australian Natl. U., Canberra
)

- J.Geom.Phys. 62 (2012) 903-934
•
e-Print:
- 1101.0856
•
DOI:
- 10.1016/j.geomphys.2012.01.007

[7]

Supersymmetric backgrounds from generalized Calabi-Yau manifolds

Mariana Grana
(
- Ecole Polytechnique and
- Ecole Normale Superieure
)
,
Ruben Minasian
(
- Ecole Polytechnique
)
,
Michela Petrini
(
- Ecole Polytechnique and
- Tours U., CNRS
)
,
Alessandro Tomasiello
(
- Ecole Polytechnique
)

- JHEP 08 (2004) 046
•
e-Print:
- hep-th/0406137
•
DOI:
- 10.1088/1126-6708/2004/08/046

[7]

Generalized structures of N=1 vacua

Mariana Grana
(
- Ecole Polytechnique and
- Ecole Normale Superieure
)
,
Ruben Minasian
(
- Saclay, SPhT and
- Ecole Polytechnique
)
,
Michela Petrini
(
- Ecole Polytechnique and
- Tours U., CNRS
)
,
Alessandro Tomasiello
(
- Stanford U., Phys. Dept.
)

- JHEP 11 (2005) 020
•
e-Print:
- hep-th/0505212
•
DOI:
- 10.1088/1126-6708/2005/11/020

[7]

Generalised G(2) - structures and type IIb superstrings

- JHEP 03 (2005) 053
•
e-Print:
- hep-th/0412280
•
DOI:
- 10.1088/1126-6708/2005/03/053

[7]

Non-perturbative superpotentials in F-theory and string duality

Per Berglund
(
- New Hampshire U.
)
,
P. Mayr
(
- Munich U.
)

- JHEP 01 (2013) 114
•
e-Print:
- hep-th/0504058
•
DOI:
- 10.1007/JHEP01(2013)114

[8]

Generalized N = (2,2) supersymmetric nonlinear sigma models

Ulf Lindstrom
(
- Uppsala U., Inst. Theor. Phys. and
- Helsinki Inst. of Phys.
)

- Phys.Lett.B 587 (2004) 216-224
•
e-Print:
- hep-th/0401100
•
DOI:
- 10.1016/j.physletb.2004.03.014

[8]

Generalized complex manifolds and supersymmetry

Ulf Lindstrom
(
- Uppsala U., Inst. Theor. Phys. and
- Helsinki Inst. of Phys.
)
,
Ruben Minasian
(
- Ecole Polytechnique, CPHT
)
,
Alessandro Tomasiello
(
- Ecole Polytechnique, CPHT
)
,
Maxim Zabzine
(
- Paris, LPTHE and
- Paris U., VI-VII and
- Mittag-Leffler Inst.
)

- Commun.Math.Phys. 257 (2005) 235-256
•
e-Print:
- hep-th/0405085
•
DOI:
- 10.1007/s00220-004-1265-6

[8]

Topological strings on noncommutative manifolds

Anton Kapustin
(
- Caltech
)

- Int.J.Geom.Meth.Mod.Phys. 1 (2004) 49-81
•
e-Print:
- hep-th/0310057
•
DOI:
- 10.1142/S0219887804000034

[8]

Topological sigma-models with H-flux and twisted generalized complex manifolds

Anton Kapustin
(
- Caltech
)
,
Yi Li
(
- Caltech
)

- Adv.Theor.Math.Phys. 11 (2007) 2, 269-290
•
e-Print:
- hep-th/0407249
•
DOI:
- 10.4310/ATMP.2007.v11.n2.a3

[9]

Hitchin functionals in N=2 supergravity

- JHEP 01 (2006) 008
•
e-Print:
- hep-th/0505264
•
DOI:
- 10.1088/1126-6708/2006/01/008

[9]

Gravity duals to deformed SYM theories and Generalized Complex Geometry

Ruben Minasian
(
- Saclay, SPhT
)
,
Michela Petrini
(
- Paris, LPTHE
)
,
Alberto Zaffaroni
(
- Milan Bicocca U. and
- INFN, Milan Bicocca
)

- JHEP 12 (2006) 055
•
e-Print:
- hep-th/0606257
•
DOI:
- 10.1088/1126-6708/2006/12/055

[9]

SU(3) x SU(3) compactification and mirror duals of magnetic fluxes

Mariana Grana
(
- Saclay, SPhT
)
,
Jan Louis
(
- Hamburg U., Inst. Theor. Phys. II and
- Hamburg U., Dept. Math.
)
,
Daniel Waldram
(
- Imperial Coll., London
)

- JHEP 04 (2007) 101
•
e-Print:
- hep-th/0612237
•
DOI:
- 10.1088/1126-6708/2007/04/101

[9]

NS-NS fluxes in Hitchin's generalized geometry

Ian T. Ellwood
(
- Wisconsin U., Madison
)

- JHEP 12 (2007) 084
•
e-Print:
- hep-th/0612100
•
DOI:
- 10.1088/1126-6708/2007/12/084

[9]

From ten to four and back again: How to generalize the geometry

Paul Koerber
(
- Munich, Max Planck Inst.
)
,
Luca Martucci
(
- Leuven U.
)

- JHEP 08 (2007) 059
•
e-Print:
- 0707.1038
•
DOI:
- 10.1088/1126-6708/2007/08/059

[9]

Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications

- JHEP 09 (2007) 076
•
e-Print:
- 0707.3125
•
DOI:
- 10.1088/1126-6708/2007/09/076

[9]

Reducing democratic type II supergravity on SU(3) x SU(3) structures

Davide Cassani
(
- Ecole Normale Superieure and
- Rome U., Tor Vergata
)

- JHEP 06 (2008) 027
•
e-Print:
- 0804.0595
•
DOI:
- 10.1088/1126-6708/2008/06/027

[9]

T-duality, Generalized Geometry and Non-Geometric Backgrounds

Mariana Grana
(
- Saclay, SPhT
)
,
Ruben Minasian
(
- Saclay, SPhT
)
,
Michela Petrini
(
- Paris, LPTHE
)
,
Daniel Waldram
(
- Imperial Coll., London
)

- JHEP 04 (2009) 075
•
e-Print:
- 0807.4527
•
DOI:
- 10.1088/1126-6708/2009/04/075

[9]

AdS(5) Solutions of Type IIB Supergravity and Generalized Complex Geometry

Maxime Gabella
(
- Oxford U., Theor. Phys.
)
,
Jerome P. Gauntlett
(
- Imperial Coll., London
)
,
Eran Palti
(
- Oxford U., Theor. Phys.
)
,
James Sparks
(
- Oxford U., Inst. Math.
)
,
Daniel Waldram
(
- Imperial Coll., London
)

- Commun.Math.Phys. 299 (2010) 365-408
•
e-Print:
- 0906.4109
•
DOI:
- 10.1007/s00220-010-1083-y

[9]

Generalized structures of ten-dimensional supersymmetric solutions

Alessandro Tomasiello
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)

- JHEP 03 (2012) 073
•
e-Print:
- 1109.2603
•
DOI:
- 10.1007/JHEP03(2012)073

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