C-spaces, generalized geometry and double field theory

G Papadopoulos

doi:10.1007/JHEP09(2015)029

C-spaces, generalized geometry and double field theory

G Papadopoulos^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

Abstract: We construct a C-space associated with every closed 3-form on a spacetime M and show that it depends on the class of the form in <sup>H3</sup>Mℤ$$ {H}^3\left(M,\mathrm{\mathbb{Z}}\right) $$. We also demonstrate that C-spaces have a relation to generalized geometry and to gerbes. C-spaces are constructed after introducing additional coordinates at the open sets and at their double overlaps of a spacetime generalizing the standard construction of Kaluza-Klein spaces for 2-forms. C-spaces may not be manifolds and satisfy the topological geometrization condition. Double spaces arise as local subspaces of C-spaces that cannot be globally extended. This indicates that for the global definition of double field theories additional coordinates are needed. We explore several other aspect of C-spaces like their topology and relation to Whitehead towers, and also describe the construction of C-spaces for closed k-forms.

Original language	English
Article number	29
Journal	Journal of High Energy Physics
Volume	2015
Issue number	9
DOIs	https://doi.org/10.1007/JHEP09(2015)029
Publication status	Published - 14 Sept 2015

Keywords

Bosonic Strings
String Duality
Superstring Vacua

Access to Document

10.1007/JHEP09(2015)029

Cite this

@article{e526e9e31c604685afb5eb2416483d38,

title = "C-spaces, generalized geometry and double field theory",

abstract = "Abstract: We construct a C-space associated with every closed 3-form on a spacetime M and show that it depends on the class of the form in H3Mℤ$$ {H}^3\left(M,\mathrm{\mathbb{Z}}\right) $$. We also demonstrate that C-spaces have a relation to generalized geometry and to gerbes. C-spaces are constructed after introducing additional coordinates at the open sets and at their double overlaps of a spacetime generalizing the standard construction of Kaluza-Klein spaces for 2-forms. C-spaces may not be manifolds and satisfy the topological geometrization condition. Double spaces arise as local subspaces of C-spaces that cannot be globally extended. This indicates that for the global definition of double field theories additional coordinates are needed. We explore several other aspect of C-spaces like their topology and relation to Whitehead towers, and also describe the construction of C-spaces for closed k-forms.",

keywords = "Bosonic Strings, String Duality, Superstring Vacua",

author = "G Papadopoulos",

year = "2015",

month = sep,

day = "14",

doi = "10.1007/JHEP09(2015)029",

language = "English",

volume = "2015",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "IOP Publishing",

number = "9",

}

TY - JOUR

T1 - C-spaces, generalized geometry and double field theory

AU - Papadopoulos, G

PY - 2015/9/14

Y1 - 2015/9/14

N2 - Abstract: We construct a C-space associated with every closed 3-form on a spacetime M and show that it depends on the class of the form in H3Mℤ$$ {H}^3\left(M,\mathrm{\mathbb{Z}}\right) $$. We also demonstrate that C-spaces have a relation to generalized geometry and to gerbes. C-spaces are constructed after introducing additional coordinates at the open sets and at their double overlaps of a spacetime generalizing the standard construction of Kaluza-Klein spaces for 2-forms. C-spaces may not be manifolds and satisfy the topological geometrization condition. Double spaces arise as local subspaces of C-spaces that cannot be globally extended. This indicates that for the global definition of double field theories additional coordinates are needed. We explore several other aspect of C-spaces like their topology and relation to Whitehead towers, and also describe the construction of C-spaces for closed k-forms.

AB - Abstract: We construct a C-space associated with every closed 3-form on a spacetime M and show that it depends on the class of the form in H3Mℤ$$ {H}^3\left(M,\mathrm{\mathbb{Z}}\right) $$. We also demonstrate that C-spaces have a relation to generalized geometry and to gerbes. C-spaces are constructed after introducing additional coordinates at the open sets and at their double overlaps of a spacetime generalizing the standard construction of Kaluza-Klein spaces for 2-forms. C-spaces may not be manifolds and satisfy the topological geometrization condition. Double spaces arise as local subspaces of C-spaces that cannot be globally extended. This indicates that for the global definition of double field theories additional coordinates are needed. We explore several other aspect of C-spaces like their topology and relation to Whitehead towers, and also describe the construction of C-spaces for closed k-forms.

KW - Bosonic Strings

KW - String Duality

KW - Superstring Vacua

UR - http://www.scopus.com/inward/record.url?scp=84941349877&partnerID=8YFLogxK

U2 - 10.1007/JHEP09(2015)029

DO - 10.1007/JHEP09(2015)029

M3 - Article

AN - SCOPUS:84941349877

SN - 1126-6708

VL - 2015

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 9

M1 - 29

ER -

C-spaces, generalized geometry and double field theory

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this