DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: On quantum compatibility of counterterm deformations and duality symmetries in $$ \mathcal{N}\ge 5 $$ supergravities

Abstract

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 $$ \mathcal{N}\ge 5 $$ 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 SU(N) symmetry of the deformed theory is restored on shell.

Authors:
 [1];  [2];  [3]; ORCiD logo [1]
  1. Stanford Univ., Stanford, CA (United States)
  2. Max-Planck-Institut fur Gravitationsphysik (Albert-Einstein-Institut), Potsdam (Germany)
  3. The Pennsylvania State Univ., University Park, PA (United States)
Publication Date:
Research Org.:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1512491
Grant/Contract Number:  
SC0013699
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Extended Supersymmetry; Supersymmetry and Duality; Scattering Amplitudes

Citation Formats

Kallosh, Renata, Nicolai, Hermann, Roiban, Radu, and Yamada, Yusuke. On quantum compatibility of counterterm deformations and duality symmetries in $ \mathcal{N}\ge 5 $ supergravities. United States: N. p., 2018. Web. doi:10.1007/jhep08(2018)091.
Kallosh, Renata, Nicolai, Hermann, Roiban, Radu, & Yamada, Yusuke. On quantum compatibility of counterterm deformations and duality symmetries in $ \mathcal{N}\ge 5 $ supergravities. United States. https://doi.org/10.1007/jhep08(2018)091
Kallosh, Renata, Nicolai, Hermann, Roiban, Radu, and Yamada, Yusuke. Thu . "On quantum compatibility of counterterm deformations and duality symmetries in $ \mathcal{N}\ge 5 $ supergravities". United States. https://doi.org/10.1007/jhep08(2018)091. https://www.osti.gov/servlets/purl/1512491.
@article{osti_1512491,
title = {On quantum compatibility of counterterm deformations and duality symmetries in $ \mathcal{N}\ge 5 $ supergravities},
author = {Kallosh, Renata and Nicolai, Hermann and Roiban, Radu and Yamada, Yusuke},
abstractNote = {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 $ \mathcal{N}\ge 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 SU(N) symmetry of the deformed theory is restored on shell.},
doi = {10.1007/jhep08(2018)091},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2018,
place = {United States},
year = {Thu Aug 16 00:00:00 EDT 2018},
month = {Thu Aug 16 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Figures / Tables:

Table 1 Table 1: Scalar manifolds of $\mathcal{N }$≥ 4 extended supergravities. In the table, $n_v$ is the number of vectors and $m$ is the number of real scalar fields. In all the cases the duality group $\mathcal{G}$ is embedded in $Sp$(2$n_v$,$\mathbb{R}$).

Save / Share:

Works referenced in this record:

Duality rotations for interacting fields
journal, December 1981


Higher order invariants in extended supergravity
journal, April 1981


Potentials and symmetries of general gauged N = 2 supergravity-Yang-Mills models
journal, January 1984


The SO(8) supergravity
journal, November 1979


On the U(1) duality anomaly and the S-matrix of $ \mathcal{N} $ = 4 supergravity
journal, July 2013

  • Carrasco, J. J. M.; Kallosh, R.; Roiban, R.
  • Journal of High Energy Physics, Vol. 2013, Issue 7
  • DOI: 10.1007/JHEP07(2013)029

$$ {\mathcal{R}^4} $$ counterterm and E 7(7) symmetry in maximal supergravity
journal, May 2010

  • Brödel, Johannes; Dixon, Lance J.
  • Journal of High Energy Physics, Vol. 2010, Issue 5
  • DOI: 10.1007/JHEP05(2010)003

Explicit action of on supergravity fields
journal, September 2008


Extended supergravity with local SO(5) invariance
journal, September 1981


Counterterms vs. dualities
journal, August 2011

  • Bossard, Guillaume; Nicolai, Hermann
  • Journal of High Energy Physics, Vol. 2011, Issue 8
  • DOI: 10.1007/JHEP08(2011)074

Stringy KLT relations, global symmetries, and E 7(7)-violation
journal, October 2010

  • Elvang, Henriette; Kiermaier, Michael
  • Journal of High Energy Physics, Vol. 2010, Issue 10
  • DOI: 10.1007/JHEP10(2010)108

Special geometry
journal, September 1990

  • Strominger, Andrew
  • Communications in Mathematical Physics, Vol. 133, Issue 1
  • DOI: 10.1007/BF02096559

Absence of U(1) anomalous superamplitudes in N $$ \mathcal{N} $$ ≥ 5 supergravities
journal, May 2017

  • Freedman, Daniel Z.; Kallosh, Renata; Murli, Divyanshu
  • Journal of High Energy Physics, Vol. 2017, Issue 5
  • DOI: 10.1007/JHEP05(2017)067

New E 7(7) invariants and amplitudes
journal, September 2012


N = 8 supergravity
journal, November 1982


N=8 counterterms and E 7(7) current conservation
journal, June 2011


Creation of matter in the universe and groups of type E7
journal, December 2011

  • Ferrara, Sergio; Kallosh, Renata
  • Journal of High Energy Physics, Vol. 2011, Issue 12
  • DOI: 10.1007/JHEP12(2011)096

d = 4 attractors, effective horizon radius, and fake supergravity
journal, September 2008


Ultraviolet Properties of N = 4 Supergravity at Four Loops
journal, December 2013


Composite anomalies in supergravity
journal, July 1985


E 7(7) symmetry in perturbatively quantised $ \mathcal{N} = 8 $ supergravity
journal, December 2010

  • Bossard, Guillaume; Hillmann, Christian; Nicolai, Hermann
  • Journal of High Energy Physics, Vol. 2010, Issue 12
  • DOI: 10.1007/JHEP12(2010)052

Manifesting enhanced cancellations in supergravity: integrands versus integrals
journal, May 2017

  • Bern, Zvi; Enciso, Michael; Parra-Martinez, Julio
  • Journal of High Energy Physics, Vol. 2017, Issue 5
  • DOI: 10.1007/JHEP05(2017)137

Counterterms in extended supergravities
journal, February 1981


Stringy KLT relations, global symmetries, and E_7(7) violation
text, January 2010


N=8 Counterterms and E7(7) Current Conservation
text, January 2011


Creation of Matter in the Universe and Groups of Type E7
text, January 2011


Manifesting enhanced cancellations in supergravity: integrands versus integrals
text, January 2017


U-Duality and Central Charges in Various Dimensions Revisited
text, January 1996


E 7(7) symmetry and finiteness of $ \mathcal{N} = {8} $ supergravity
journal, March 2012


Explicit action of on supergravity fields
journal, September 2008


University of supersymmetric attractors
journal, July 1996


Born-Infeld theory with higher derivatives
journal, February 2012


U Duality and Central Charges in Various Dimensions Revisited
journal, January 1998

  • Andrianopoli, Laura; D'Auria, Riccardo; Ferrara, Sergio
  • International Journal of Modern Physics A, Vol. 13, Issue 03
  • DOI: 10.1142/s0217751x98000196

E7(7) symmetry in perturbatively quantised N=8 supergravity
text, January 2010


Figures / Tables found in this record:

    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.