Abstract
It was argued in [1] that the Volkov-Akulov (VA) model as well as similar models in supergravity and the related KKLT model in string theory, suffer from tachyonic instabilities due to goldstino condensation. The authors of [1] constructed a specific model with two unconstrained interacting chiral superfields with linearly realized supersymmetry which has an unstable vacuum. They claimed that this model becomes equivalent to the VA model in the UV limit. We show that the UV limit of their model is discontinuous, and the vacuum instability of the model proposed in [1] is not relevant to the VA model, to related models in supergravity, and to the KKLT construction.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Dall’Agata, M. Emelin, F. Farakos and M. Morittu, Anti-brane uplift instability from goldstino condensation, JHEP 08 (2022) 005 [arXiv:2203.12636] [INSPIRE].
D.V. Volkov and V.P. Akulov, Is the Neutrino a Goldstone Particle?, Phys. Lett. B 46 (1973) 109 [INSPIRE].
M. Roček, Linearizing the Volkov-Akulov Model, Phys. Rev. Lett. 41 (1978) 451 [INSPIRE].
E.A. Ivanov and A.A. Kapustnikov, General Relationship Between Linear and Nonlinear Realizations of Supersymmetry, J. Phys. A 11 (1978) 2375 [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].
N. Cribiori, G. Dall’Agata and F. Farakos, From Linear to Non-linear SUSY and Back Again, JHEP 08 (2017) 117 [arXiv:1704.07387] [INSPIRE].
E.A. Bergshoeff, D.Z. Freedman, R. Kallosh and A. Van Proeyen, Pure de Sitter Supergravity, Phys. Rev. D 92 (2015) 085040 [Erratum ibid. 93 (2016) 069901] [arXiv:1507.08264] [INSPIRE].
F. Hasegawa and Y. Yamada, Component action of nilpotent multiplet coupled to matter in 4 dimensional \( \mathcal{N} \) = 1 supergravity, JHEP 10 (2015) 106 [arXiv:1507.08619] [INSPIRE].
S. Ferrara, R. Kallosh, A. Van Proeyen and T. Wrase, Linear Versus Non-linear Supersymmetry, in General, JHEP 04 (2016) 065 [arXiv:1603.02653] [INSPIRE].
R. Kallosh, A. Karlsson and D. Murli, From linear to nonlinear supersymmetry via functional integration, Phys. Rev. D 93 (2016) 025012 [arXiv:1511.07547] [INSPIRE].
J. Jaeckel and C. Wetterich, Flow equations without mean field ambiguity, Phys. Rev. D 68 (2003) 025020 [hep-ph/0207094] [INSPIRE].
Y. Nambu and G. Jona-Lasinio, Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. 1, Phys. Rev. 122 (1961) 345 [INSPIRE].
Y. Nambu and G. Jona-Lasinio, Dynamical model of elementary particles based on an analogy with superconductivity. II, Phys. Rev. 124 (1961) 246 [INSPIRE].
S.R. Coleman, R. Jackiw and H.D. Politzer, Spontaneous Symmetry Breaking in the O(N) Model for Large N*, Phys. Rev. D 10 (1974) 2491 [INSPIRE].
M. Kobayashi and T. Kugo, On the Ground State of O(N ) − Λ𝜙4 Model, Prog. Theor. Phys. 54 (1975) 1537 [INSPIRE].
L.F. Abbott, J.S. Kang and H.J. Schnitzer, Bound States, Tachyons, and Restoration of Symmetry in the 1/N Expansion, Phys. Rev. D 13 (1976) 2212 [INSPIRE].
T. Eguchi, A New Approach to Collective Phenomena in Superconductivity Models, Phys. Rev. D 14 (1976) 2755 [INSPIRE].
A.D. Linde, 1/n-Expansion, Vacuum Stability and Quark Confinement, Nucl. Phys. B 125 (1977) 369 [INSPIRE].
D.A. Kirzhnits and A.D. Linde, On the Vacuum Stability Problem in Quantum Electrodynamics, Phys. Lett. B 73 (1978) 323 [INSPIRE].
W.A. Bardeen, C.T. Hill and M. Lindner, Minimal Dynamical Symmetry Breaking of the Standard Model, Phys. Rev. D 41 (1990) 1647 [INSPIRE].
D. Ebert, M. Nagy and M.K. Volkov, To the problem of 1/N(c) approximation in the Nambu-Jona-Lasinio model, Phys. Atom. Nucl. 59 (1996) 140 [hep-th/9412214] [INSPIRE].
S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, de Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [INSPIRE].
G.N. Felder, L. Kofman and A.D. Linde, Tachyonic instability and dynamics of spontaneous symmetry breaking, Phys. Rev. D 64 (2001) 123517 [hep-th/0106179] [INSPIRE].
S. Kachru, J. Pearson and H.L. Verlinde, Brane/flux annihilation and the string dual of a nonsupersymmetric field theory, JHEP 06 (2002) 021 [hep-th/0112197] [INSPIRE].
B. Michel, E. Mintun, J. Polchinski, A. Puhm and P. Saad, Remarks on brane and antibrane dynamics, JHEP 09 (2015) 021 [arXiv:1412.5702] [INSPIRE].
F.F. Gautason, B. Truijen and T. Van Riet, The many faces of brane-flux annihilation, JHEP 10 (2015) 152 [arXiv:1505.00159] [INSPIRE].
D. Cohen-Maldonado, J. Diaz, T. van Riet and B. Vercnocke, Observations on fluxes near anti-branes, JHEP 01 (2016) 126 [arXiv:1507.01022] [INSPIRE].
J. Blåbäck, F.F. Gautason, A. Ruipérez and T. Van Riet, Anti-brane singularities as red herrings, JHEP 12 (2019) 125 [arXiv:1907.05295] [INSPIRE].
R. Kallosh and T. Wrase, Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua, JHEP 12 (2014) 117 [arXiv:1411.1121] [INSPIRE].
E.A. Bergshoeff, K. Dasgupta, R. Kallosh, A. Van Proeyen and T. Wrase, \( \overline{D3} \) and dS, JHEP 05 (2015) 058 [arXiv:1502.07627] [INSPIRE].
R. Kallosh, F. Quevedo and A.M. Uranga, String Theory Realizations of the Nilpotent Goldstino, JHEP 12 (2015) 039 [arXiv:1507.07556] [INSPIRE].
I. Bandos, L. Martucci, D. Sorokin and M. Tonin, Brane induced supersymmetry breaking and de Sitter supergravity, JHEP 02 (2016) 080 [arXiv:1511.03024] [INSPIRE].
I. García-Etxebarria, F. Quevedo and R. Valandro, Global String Embeddings for the Nilpotent Goldstino, JHEP 02 (2016) 148 [arXiv:1512.06926] [INSPIRE].
K. Dasgupta, M. Emelin and E. McDonough, Fermions on the antibrane: Higher order interactions and spontaneously broken supersymmetry, Phys. Rev. D 95 (2017) 026003 [arXiv:1601.03409] [INSPIRE].
B. Vercnocke and T. Wrase, Constrained superfields from an anti-D3-brane in KKLT, JHEP 08 (2016) 132 [arXiv:1605.03961] [INSPIRE].
R. Kallosh, B. Vercnocke and T. Wrase, String Theory Origin of Constrained Multiplets, JHEP 09 (2016) 063 [arXiv:1606.09245] [INSPIRE].
I. Bandos, M. Heller, S.M. Kuzenko, L. Martucci and D. Sorokin, The Goldstino brane, the constrained superfields and matter in \( \mathcal{N} \) = 1 supergravity, JHEP 11 (2016) 109 [arXiv:1608.05908] [INSPIRE].
L. Aalsma, J.P. van der Schaar and B. Vercnocke, Constrained superfields on metastable anti-D3-branes, JHEP 05 (2017) 089 [arXiv:1703.05771] [INSPIRE].
M.P. Garcia del Moral, S. Parameswaran, N. Quiroz and I. Zavala, Anti-D3 branes and moduli in non-linear supergravity, JHEP 10 (2017) 185 [arXiv:1707.07059] [INSPIRE].
L. Aalsma, M. Tournoy, J.P. Van Der Schaar and B. Vercnocke, Supersymmetric embedding of antibrane polarization, Phys. Rev. D 98 (2018) 086019 [arXiv:1807.03303] [INSPIRE].
N. Cribiori, C. Roupec, T. Wrase and Y. Yamada, Supersymmetric anti-D3-brane action in the Kachru-Kallosh-Linde-Trivedi setup, Phys. Rev. D 100 (2019) 066001 [arXiv:1906.07727] [INSPIRE].
S. Parameswaran and F. Tonioni, Non-supersymmetric String Models from Anti-D3-/D7-branes in Strongly Warped Throats, JHEP 12 (2020) 174 [arXiv:2007.11333] [INSPIRE].
I. Bena, M. Graña, S. Kuperstein and S. Massai, Giant Tachyons in the Landscape, JHEP 02 (2015) 146 [arXiv:1410.7776] [INSPIRE].
A.M. Uranga, Comments on nonsupersymmetric orientifolds at strong coupling, JHEP 02 (2000) 041 [hep-th/9912145] [INSPIRE].
R. Kallosh, Volkov-Akulov theory and D-branes, Lect. Notes Phys. 509 (1998) 49 [hep-th/9705118] [INSPIRE].
S. Ferrara, R. Kallosh and A. Linde, Cosmology with Nilpotent Superfields, JHEP 10 (2014) 143 [arXiv:1408.4096] [INSPIRE].
J. Braun, Fermion Interactions and Universal Behavior in Strongly Interacting Theories, J. Phys. G 39 (2012) 033001 [arXiv:1108.4449] [INSPIRE].
J. Polchinski, Renormalization and Effective Lagrangians, Nucl. Phys. B 231 (1984) 269 [INSPIRE].
D.F. Litim and M.J. Trott, Asymptotic safety of scalar field theories, Phys. Rev. D 98 (2018) 125006 [arXiv:1810.01678] [INSPIRE].
L. O’Raifeartaigh, Spontaneous Symmetry Breaking for Chiral Scalar Superfields, Nucl. Phys. B 96 (1975) 331 [INSPIRE].
M. Huq, On Spontaneous Breakdown of Fermion Number Conservation and Supersymmetry, Phys. Rev. D 14 (1976) 3548 [INSPIRE].
E. Witten, Mass Hierarchies in Supersymmetric Theories, Phys. Lett. B 105 (1981) 267 [INSPIRE].
K.A. Intriligator, N. Seiberg and D. Shih, Supersymmetry breaking, R-symmetry breaking and metastable vacua, JHEP 07 (2007) 017 [hep-th/0703281] [INSPIRE].
R. Kallosh and A.D. Linde, O’KKLT, JHEP 02 (2007) 002 [hep-th/0611183] [INSPIRE].
S.R. Coleman and E.J. Weinberg, Radiative Corrections as the Origin of Spontaneous Symmetry Breaking, Phys. Rev. D 7 (1973) 1888 [INSPIRE].
R. Kallosh and T. Wrase, de Sitter Supergravity Model Building, Phys. Rev. D 92 (2015) 105010 [arXiv:1509.02137] [INSPIRE].
M. Schillo, E. van der Woerd and T. Wrase, The general de Sitter supergravity component action, Fortsch. Phys. 64 (2016) 292 [arXiv:1511.01542] [INSPIRE].
C. Wetterich, Exact evolution equation for the effective potential, Phys. Lett. B 301 (1993) 90 [arXiv:1710.05815] [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: 2206.04210
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
Kallosh, R., Linde, A., Wrase, T. et al. Goldstino condensation?. J. High Energ. Phys. 2022, 166 (2022). https://doi.org/10.1007/JHEP08(2022)166
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2022)166