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

Kallosh, Renata; Nicolai, Hermann; Roiban, Radu; Yamada, Yusuke

doi:10.1007/jhep08(2018)091

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

Journal Article · Thu Aug 16 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2018)091· OSTI ID:1512491

Kallosh, Renata ^[1]; Nicolai, Hermann ^[2]; Roiban, Radu ^[3];

^[1]

Stanford Univ., Stanford, CA (United States)
Max-Planck-Institut fur Gravitationsphysik (Albert-Einstein-Institut), Potsdam (Germany)
The Pennsylvania State Univ., University Park, PA (United States)

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.

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Research Organization:: Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0013699

OSTI ID:: 1512491

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 8; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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References (32)

Duality rotations for interacting fields Gaillard, Mary K.; Zumino, Bruno Nuclear Physics B, Vol. 193, Issue 1 https://doi.org/10.1016/0550-3213(81)90527-7	journal	December 1981
Higher order invariants in extended supergravity Howe, P.; Lindström, U. Nuclear Physics B, Vol. 181, Issue 3 https://doi.org/10.1016/0550-3213(81)90537-X	journal	April 1981
Potentials and symmetries of general gauged N = 2 supergravity-Yang-Mills models de Wit, B.; Van Proeyen, A. Nuclear Physics B, Vol. 245 https://doi.org/10.1016/0550-3213(84)90425-5	journal	January 1984
The SO(8) supergravity Cremmer, E.; Julia, B. Nuclear Physics B, Vol. 159, Issue 1-2 https://doi.org/10.1016/0550-3213(79)90331-6	journal	November 1979
On the U(1) duality anomaly and the S-matrix of $ \mathcal{N} $ = 4 supergravity Carrasco, J. J. M.; Kallosh, R.; Roiban, R. Journal of High Energy Physics, Vol. 2013, Issue 7 https://doi.org/10.1007/JHEP07(2013)029	journal	July 2013
$$ {\mathcal{R}^4} $$ counterterm and E 7(7) symmetry in maximal supergravity Brödel, Johannes; Dixon, Lance J. Journal of High Energy Physics, Vol. 2010, Issue 5 https://doi.org/10.1007/JHEP05(2010)003	journal	May 2010
Explicit action of on supergravity fields Kallosh, Renata; Soroush, Masoud Nuclear Physics B, Vol. 801, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2008.04.006	journal	September 2008
Extended supergravity with local SO(5) invariance de Wit, B.; Nicolai, H. Nuclear Physics B, Vol. 188, Issue 1 https://doi.org/10.1016/0550-3213(81)90107-3	journal	September 1981
Counterterms vs. dualities Bossard, Guillaume; Nicolai, Hermann Journal of High Energy Physics, Vol. 2011, Issue 8 https://doi.org/10.1007/JHEP08(2011)074	journal	August 2011
Stringy KLT relations, global symmetries, and E 7(7)-violation Elvang, Henriette; Kiermaier, Michael Journal of High Energy Physics, Vol. 2010, Issue 10 https://doi.org/10.1007/JHEP10(2010)108	journal	October 2010
Special geometry Strominger, Andrew Communications in Mathematical Physics, Vol. 133, Issue 1 https://doi.org/10.1007/BF02096559	journal	September 1990
Absence of U(1) anomalous superamplitudes in N $$ \mathcal{N} $$ ≥ 5 supergravities Freedman, Daniel Z.; Kallosh, Renata; Murli, Divyanshu Journal of High Energy Physics, Vol. 2017, Issue 5 https://doi.org/10.1007/JHEP05(2017)067	journal	May 2017
New E 7(7) invariants and amplitudes Kallosh, Renata; Ortın, Tomás Journal of High Energy Physics, Vol. 2012, Issue 9 https://doi.org/10.1007/JHEP09(2012)137	journal	September 2012
N = 8 supergravity De Wit, B.; Nicolai, H. Nuclear Physics B, Vol. 208, Issue 2 https://doi.org/10.1016/0550-3213(82)90120-1	journal	November 1982
N=8 counterterms and E 7(7) current conservation Kallosh, Renata Journal of High Energy Physics, Vol. 2011, Issue 6 https://doi.org/10.1007/JHEP06(2011)073	journal	June 2011
Creation of matter in the universe and groups of type E7 Ferrara, Sergio; Kallosh, Renata Journal of High Energy Physics, Vol. 2011, Issue 12 https://doi.org/10.1007/JHEP12(2011)096	journal	December 2011
$d = 4$ attractors, effective horizon radius, and fake supergravity Ferrara, Sergio; Gnecchi, Alessandra; Marrani, Alessio Physical Review D, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevD.78.065003	journal	September 2008
Ultraviolet Properties of $N = 4$ Supergravity at Four Loops Bern, Zvi; Davies, Scott; Dennen, Tristan Physical Review Letters, Vol. 111, Issue 23 https://doi.org/10.1103/PhysRevLett.111.231302	journal	December 2013
Composite anomalies in supergravity Marcus, Neil Physics Letters B, Vol. 157, Issue 5-6 https://doi.org/10.1016/0370-2693(85)90385-5	journal	July 1985
E 7(7) symmetry in perturbatively quantised $ \mathcal{N} = 8 $ supergravity Bossard, Guillaume; Hillmann, Christian; Nicolai, Hermann Journal of High Energy Physics, Vol. 2010, Issue 12 https://doi.org/10.1007/JHEP12(2010)052	journal	December 2010
Manifesting enhanced cancellations in supergravity: integrands versus integrals Bern, Zvi; Enciso, Michael; Parra-Martinez, Julio Journal of High Energy Physics, Vol. 2017, Issue 5 https://doi.org/10.1007/JHEP05(2017)137	journal	May 2017
Counterterms in extended supergravities Kallosh, R. E. Physics Letters B, Vol. 99, Issue 2 https://doi.org/10.1016/0370-2693(81)90964-3	journal	February 1981
Stringy KLT relations, global symmetries, and E_7(7) violation Elvang, Henriette; Kiermaier, Michael arXiv https://doi.org/10.48550/arxiv.1007.4813	text	January 2010
N=8 Counterterms and E7(7) Current Conservation Kallosh, Renata arXiv https://doi.org/10.48550/arxiv.1104.5480	text	January 2011
Creation of Matter in the Universe and Groups of Type E7 Ferrara, Sergio; Kallosh, Renata arXiv https://doi.org/10.48550/arxiv.1110.4048	text	January 2011
Manifesting enhanced cancellations in supergravity: integrands versus integrals Bern, Zvi; Enciso, Michael; Parra-Martinez, Julio arXiv https://doi.org/10.48550/arxiv.1703.08927	text	January 2017
U-Duality and Central Charges in Various Dimensions Revisited Andrianopoli, L.; D'Auria, R.; Ferrara, S. arXiv https://doi.org/10.48550/arxiv.hep-th/9612105	text	January 1996
E 7(7) symmetry and finiteness of $ \mathcal{N} = {8} $ supergravity Kallosh, Renata Journal of High Energy Physics, Vol. 2012, Issue 3 https://doi.org/10.1007/jhep03(2012)083	journal	March 2012
University of supersymmetric attractors Ferrara, Sergio; Kallosh, Renata Physical Review D, Vol. 54, Issue 2 https://doi.org/10.1103/physrevd.54.1525	journal	July 1996
Born-Infeld theory with higher derivatives Chemissany, Wissam; Kallosh, Renata; Ortin, Tomas Physical Review D, Vol. 85, Issue 4 https://doi.org/10.1103/physrevd.85.046002	journal	February 2012
U Duality and Central Charges in Various Dimensions Revisited Andrianopoli, Laura; D'Auria, Riccardo; Ferrara, Sergio International Journal of Modern Physics A, Vol. 13, Issue 03 https://doi.org/10.1142/s0217751x98000196	journal	January 1998
E7(7) symmetry in perturbatively quantised N=8 supergravity Bossard, Guillaume; Hillmann, Christian; Nicolai, Hermann arXiv https://doi.org/10.48550/arxiv.1007.5472	text	January 2010

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