Abstract
Key to the simplicity of supergravity α-attractor models of inflation are Volkov-Akulov fermions, often in the form of nilpotent superfields. Here we explore the possibility of using the double-copy to construct theories of Dirac-Born-Infeld-Volkov-Akulov (DBIVA) coupled to supergravity. A color-dual bootstrap admits scattering amplitudes involving pions and vectors through five-point tree-level order by order in mass-dimension, but requires the introduction of a Tr(F3) operator. Gauge theories with this operator were recently found to require a tower of higher-derivative operators to be compatible with the duality between color and kinematics. Adjoint-type double-copy construction at its most conservative seems to require the UV completion of DBIVA + pure Poincaré supergravity scattering amplitudes to a family of theories involving DBIVA-like particles coupled to Weyl-Einstein supergravity. We also point out an alternative solution to color-dual gauged pions that allows adjoint double-copy without a tower of higher derivative corrections but at the cost of exchange symmetry between scalars.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Z. Bern, J.J.M. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes, Phys. Rev. D 78 (2008) 085011 [arXiv:0805.3993] [INSPIRE].
Z. Bern, J.J.M. Carrasco and H. Johansson, Perturbative Quantum Gravity as a Double Copy of Gauge Theory, Phys. Rev. Lett. 105 (2010) 061602 [arXiv:1004.0476] [INSPIRE].
C.D. White, The double copy: gravity from gluons, Contemp. Phys. 59 (2018) 109 [arXiv:1708.07056] [INSPIRE].
L. Borsten, Gravity as the square of gauge theory: a review, Riv. Nuovo Cim. 43 (2020) 97 [INSPIRE].
Z. Bern, J.J. Carrasco, M. Chiodaroli, H. Johansson and R. Roiban, The Duality Between Color and Kinematics and its Applications, CERN-TH-2019-135, UCLA/TEP/2019/104, NUHEP-TH/19-11, UUITP-35/19, NORDITA 2019-079 (2019), arXiv:1909.01358 [INSPIRE].
BICEP, Keck collaborations, Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season, Phys. Rev. Lett. 127 (2021) 151301 [arXiv:2110.00483] [INSPIRE].
R. Kallosh and A. Linde, BICEP/Keck and cosmological attractors, JCAP 12 (2021) 008 [arXiv:2110.10902] [INSPIRE].
S. Bansal, S. Nagy, A. Padilla and I. Zavala, Unimodular vs Nilpotent Superfield Approach to Pure dS Supergravity, JHEP 01 (2021) 146 [arXiv:2010.13758] [INSPIRE].
S. Nagy, A. Padilla and I. Zavala, The Super-Stückelberg procedure and dS in pure supergravity, Proc. Roy. Soc. Lond. A 476 (2020) 20200035 [arXiv:1910.14349] [INSPIRE].
M. Rocek, Linearizing the Volkov-Akulov Model, Phys. Rev. Lett. 41 (1978) 451 [INSPIRE].
U. Lindstrom and M. Rocek, Constrained local superfields, Phys. Rev. D 19 (1979) 2300 [INSPIRE].
R. Casalbuoni, S. De Curtis, D. Dominici, F. Feruglio and R. Gatto, Nonlinear Realization of Supersymmetry Algebra From Supersymmetric Constraint, Phys. Lett. B 220 (1989) 569 [INSPIRE].
Z. Komargodski and N. Seiberg, From Linear SUSY to Constrained Superfields, JHEP 09 (2009) 066 [arXiv:0907.2441] [INSPIRE].
I. Antoniadis, E. Dudas, S. Ferrara and A. Sagnotti, The Volkov–Akulov–Starobinsky supergravity, Phys. Lett. B 733 (2014) 32 [arXiv:1403.3269] [INSPIRE].
A. Karlsson, H. Luo and D. Murli, Tree Amplitudes from Nonlinear Supersymmetries in the Volkov-Akulov Theory, Phys. Rev. D 97 (2018) 045019 [arXiv:1705.10339] [INSPIRE].
H. Johansson and A. Ochirov, Pure Gravities via Color-Kinematics Duality for Fundamental Matter, JHEP 11 (2015) 046 [arXiv:1407.4772] [INSPIRE].
A. Luna, I. Nicholson, D. O’Connell and C.D. White, Inelastic Black Hole Scattering from Charged Scalar Amplitudes, JHEP 03 (2018) 044 [arXiv:1711.03901] [INSPIRE].
J.J.M. Carrasco and I.A. Vazquez-Holm, Extracting Einstein from the loop-level double-copy, JHEP 11 (2021) 088 [arXiv:2108.06798] [INSPIRE].
F. Cachazo, S. He and E.Y. Yuan, Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM, JHEP 07 (2015) 149 [arXiv:1412.3479] [INSPIRE].
S. He, Z. Liu and J.-B. Wu, Scattering Equations, Twistor-string Formulas and Double-soft Limits in Four Dimensions, JHEP 07 (2016) 060 [arXiv:1604.02834] [INSPIRE].
F. Cachazo, P. Cha and S. Mizera, Extensions of Theories from Soft Limits, JHEP 06 (2016) 170 [arXiv:1604.03893] [INSPIRE].
J.J.M. Carrasco, C.R. Mafra and O. Schlotterer, Abelian Z-theory: NLSM amplitudes and α’-corrections from the open string, JHEP 06 (2017) 093 [arXiv:1608.02569] [INSPIRE].
J.J.M. Carrasco, M. Lewandowski and N.H. Pavao, The color-dual fate of N=4 supergravity, arXiv:2203.03592 [INSPIRE].
J.J.M. Carrasco, R. Kallosh, R. Roiban and A.A. Tseytlin, On the U(1) duality anomaly and the S-matrix of N=4 supergravity, JHEP 07 (2013) 029 [arXiv:1303.6219] [INSPIRE].
J.J.M. Carrasco, M. Chiodaroli, M. Günaydin and R. Roiban, One-loop four-point amplitudes in pure and matter-coupled N ≤ 4 supergravity, JHEP 03 (2013) 056 [arXiv:1212.1146] [INSPIRE].
M. Chiodaroli, Q. Jin and R. Roiban, Color/kinematics duality for general abelian orbifolds of N=4 super Yang-Mills theory, JHEP 01 (2014) 152 [arXiv:1311.3600] [INSPIRE].
H. Johansson, G. Mogull and F. Teng, Unraveling conformal gravity amplitudes, JHEP 09 (2018) 080 [arXiv:1806.05124] [INSPIRE].
T. Adamo et al., Snowmass White Paper: the Double Copy and its Applications, in 2022 Snowmass Summer Study [arXiv:2204.06547] [INSPIRE].
Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits, Nucl. Phys. B 425 (1994) 217 [hep-ph/9403226] [INSPIRE].
Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes, Nucl. Phys. B 435 (1995) 59 [hep-ph/9409265] [INSPIRE].
V. Del Duca, L.J. Dixon and F. Maltoni, New color decompositions for gauge amplitudes at tree and loop level, Nucl. Phys. B 571 (2000) 51 [hep-ph/9910563] [INSPIRE].
R. Kleiss and H. Kuijf, Multi - Gluon Cross-sections and Five Jet Production at Hadron Colliders, Nucl. Phys. B 312 (1989) 616 [INSPIRE].
J.J.M. Carrasco and I.A. Vazquez-Holm, Loop-Level Double-Copy for Massive Quantum Particles, Phys. Rev. D 103 (2021) 045002 [arXiv:2010.13435] [INSPIRE].
B. Feng, R. Huang and Y. Jia, Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program, Phys. Lett. B 695 (2011) 350 [arXiv:1004.3417] [INSPIRE].
D. Kosmopoulos, Simplifying D-dimensional physical-state sums in gauge theory and gravity, Phys. Rev. D 105 (2022) 056025 [arXiv:2009.00141] [INSPIRE].
J. Broedel and L.J. Dixon, Color-kinematics duality and double-copy construction for amplitudes from higher-dimension operators, JHEP 10 (2012) 091 [arXiv:1208.0876] [INSPIRE].
G. Chen and Y.-J. Du, Amplitude Relations in Non-linear Sigma Model, JHEP 01 (2014) 061 [arXiv:1311.1133] [INSPIRE].
M. Kiermaier, Gravity as the square of gauge theory, in Amplitudes 2010, Queen Mary University of London (2010), https://strings.ph.qmul.ac.uk/~theory/Amplitudes2010/Talks/MK2010.pdf.
N.E.J. Bjerrum-Bohr, P.H. Damgaard, T. Sondergaard and P. Vanhove, The Momentum Kernel of Gauge and Gravity Theories, JHEP 01 (2011) 001 [arXiv:1010.3933] [INSPIRE].
E. Brezin, S. Hikami and J. Zinn-Justin, Generalized Nonlinear Σ Models With Gauge Invariance, Nucl. Phys. B 165 (1980) 528 [INSPIRE].
S.J. Gates, Jr., C.M. Hull and M. Rocek, Twisted Multiplets and New Supersymmetric Nonlinear Sigma Models, Nucl. Phys. B 248 (1984) 157 [INSPIRE].
C.M. Hull and B.J. Spence, The Gauged Nonlinear σ Model With Wess-Zumino Term, Phys. Lett. B 232 (1989) 204 [INSPIRE].
L.M. Garozzo, L. Queimada and O. Schlotterer, Berends-Giele currents in Bern-Carrasco-Johansson gauge for F3- and F4-deformed Yang-Mills amplitudes, JHEP 02 (2019) 078 [arXiv:1809.08103] [INSPIRE].
H. Johansson and J. Nohle, Conformal Gravity from Gauge Theory, UUITP-21-17 (2017) arXiv:1707.02965 [INSPIRE].
T. Azevedo, M. Chiodaroli, H. Johansson and O. Schlotterer, Heterotic and bosonic string amplitudes via field theory, JHEP 10 (2018) 012 [arXiv:1803.05452] [INSPIRE].
C. Cheung, C.-H. Shen and C. Wen, Unifying Relations for Scattering Amplitudes, JHEP 02 (2018) 095 [arXiv:1705.03025] [INSPIRE].
C. Cheung, G.N. Remmen, C.-H. Shen and C. Wen, Pions as Gluons in Higher Dimensions, JHEP 04 (2018) 129 [arXiv:1709.04932] [INSPIRE].
R. Kallosh, A. Linde and D. Roest, Superconformal Inflationary α-Attractors, JHEP 11 (2013) 198 [arXiv:1311.0472] [INSPIRE].
A. Momeni, J. Rumbutis and A.J. Tolley, Massive Gravity from Double Copy, JHEP 12 (2020) 030 [arXiv:2004.07853] [INSPIRE].
N.H. Pavao, Effective Observables for Electromagnetic Duality from Novel Amplitude Decomposition, arXiv:2210.12800 [INSPIRE].
C. Cheung and C.-H. Shen, Symmetry for Flavor-Kinematics Duality from an Action, Phys. Rev. Lett. 118 (2017) 121601 [arXiv:1612.00868] [INSPIRE].
Z. Bern, J.J.M. Carrasco, L.J. Dixon, H. Johansson and R. Roiban, Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes, Phys. Rev. D 85 (2012) 105014 [arXiv:1201.5366] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2211.04441
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Carrasco, J.J.M., Lewandowski, M. & Pavao, N.H. Double-copy towards supergravity inflation with α-attractor models. J. High Energ. Phys. 2023, 15 (2023). https://doi.org/10.1007/JHEP02(2023)015
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2023)015