Heterotic reduction of Courant algebroid connections and Einstein-Hilbert actions

Branislav Jurčo; Jan Vysoký

doi:10.1016/j.nuclphysb.2016.04.038

Heterotic reduction of Courant algebroid connections and Einstein-Hilbert actions

Branislav Jurčo, Jan Vysoký^*

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

We discuss Levi-Civita connections on Courant algebroids. We define an appropriate generalization of the curvature tensor and compute the corresponding scalar curvatures in the exact and heterotic case, leading to generalized (bosonic) Einstein-Hilbert type of actions known from supergravity. In particular, we carefully analyze the process of the reduction for the generalized metric, connection, curvature tensor and the scalar curvature.

Original language	English
Pages (from-to)	86-121
Number of pages	36
Journal	Nuclear Physics B
Volume	909
DOIs	https://doi.org/10.1016/j.nuclphysb.2016.04.038
Publication status	Published - 1 Aug 2016
Externally published	Yes

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10.1016/j.nuclphysb.2016.04.038

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title = "Heterotic reduction of Courant algebroid connections and Einstein-Hilbert actions",

abstract = "We discuss Levi-Civita connections on Courant algebroids. We define an appropriate generalization of the curvature tensor and compute the corresponding scalar curvatures in the exact and heterotic case, leading to generalized (bosonic) Einstein-Hilbert type of actions known from supergravity. In particular, we carefully analyze the process of the reduction for the generalized metric, connection, curvature tensor and the scalar curvature.",

author = "Branislav Jur{\v c}o and Jan Vysok{\'y}",

note = "Publisher Copyright: {\textcopyright} 2016 The Author(s).",

year = "2016",

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doi = "10.1016/j.nuclphysb.2016.04.038",

language = "English",

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AU - Jurčo, Branislav

AU - Vysoký, Jan

PY - 2016/8/1

Y1 - 2016/8/1

N2 - We discuss Levi-Civita connections on Courant algebroids. We define an appropriate generalization of the curvature tensor and compute the corresponding scalar curvatures in the exact and heterotic case, leading to generalized (bosonic) Einstein-Hilbert type of actions known from supergravity. In particular, we carefully analyze the process of the reduction for the generalized metric, connection, curvature tensor and the scalar curvature.

AB - We discuss Levi-Civita connections on Courant algebroids. We define an appropriate generalization of the curvature tensor and compute the corresponding scalar curvatures in the exact and heterotic case, leading to generalized (bosonic) Einstein-Hilbert type of actions known from supergravity. In particular, we carefully analyze the process of the reduction for the generalized metric, connection, curvature tensor and the scalar curvature.

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U2 - 10.1016/j.nuclphysb.2016.04.038

DO - 10.1016/j.nuclphysb.2016.04.038

M3 - Article

SN - 0550-3213

VL - 909

SP - 86

EP - 121

JO - Nuclear Physics B

JF - Nuclear Physics B

ER -

Heterotic reduction of Courant algebroid connections and Einstein-Hilbert actions

Abstract

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