### Abstract

In N= 5 , 6, 8 supergravities there are hidden symmetries of equations of motion, described by duality groups SU(1, 5), SO^{*}(12), E_{7(7)} respectively. UV divergences and known candidate counterterms violate the deformed duality symmetry current conservation. Extra higher derivative terms in the action are required to restore duality. We study the effect of a two-vector part of the counterterm for N≥ 5 supergravities using the universality of the symplectic structure of extended supergravities. We construct a compact form of a deformed action with infinite number of higher derivative terms and restored duality symmetry with deformation parameter λ. We find, in λ^{2} approximation, that the S U (N) symmetry of the deformed theory is restored on shell.

Original language | English (US) |
---|---|

Article number | 91 |

Journal | Journal of High Energy Physics |

Volume | 2018 |

Issue number | 8 |

DOIs | |

State | Published - Aug 1 2018 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*2018*(8), [91]. https://doi.org/10.1007/JHEP08(2018)091

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*Journal of High Energy Physics*, vol. 2018, no. 8, 91. https://doi.org/10.1007/JHEP08(2018)091

**On quantum compatibility of counterterm deformations and duality symmetries in N≥ 5 supergravities.** / Kallosh, Renata; Nicolai, Hermann; Roiban, Radu; Yamada, Yusuke.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On quantum compatibility of counterterm deformations and duality symmetries in N≥ 5 supergravities

AU - Kallosh, Renata

AU - Nicolai, Hermann

AU - Roiban, Radu

AU - Yamada, Yusuke

PY - 2018/8/1

Y1 - 2018/8/1

N2 - In N= 5 , 6, 8 supergravities there are hidden symmetries of equations of motion, described by duality groups SU(1, 5), SO*(12), E7(7) respectively. UV divergences and known candidate counterterms violate the deformed duality symmetry current conservation. Extra higher derivative terms in the action are required to restore duality. We study the effect of a two-vector part of the counterterm for N≥ 5 supergravities using the universality of the symplectic structure of extended supergravities. We construct a compact form of a deformed action with infinite number of higher derivative terms and restored duality symmetry with deformation parameter λ. We find, in λ2 approximation, that the S U (N) symmetry of the deformed theory is restored on shell.

AB - In N= 5 , 6, 8 supergravities there are hidden symmetries of equations of motion, described by duality groups SU(1, 5), SO*(12), E7(7) respectively. UV divergences and known candidate counterterms violate the deformed duality symmetry current conservation. Extra higher derivative terms in the action are required to restore duality. We study the effect of a two-vector part of the counterterm for N≥ 5 supergravities using the universality of the symplectic structure of extended supergravities. We construct a compact form of a deformed action with infinite number of higher derivative terms and restored duality symmetry with deformation parameter λ. We find, in λ2 approximation, that the S U (N) symmetry of the deformed theory is restored on shell.

UR - http://www.scopus.com/inward/record.url?scp=85051725327&partnerID=8YFLogxK

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U2 - 10.1007/JHEP08(2018)091

DO - 10.1007/JHEP08(2018)091

M3 - Article

AN - SCOPUS:85051725327

VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 8

M1 - 91

ER -