[1] N. J. Secrest, S. von Hausegger, M. Rameez, R. Mohayaee, and S. Sarkar, A Challenge to the
Standard Cosmological Model, Astrophys. J. Lett. 937 (2022), no. 2 L31, [arXiv:2206.05624].
[2] C. Dalang and C. Bonvin, On the kinematic cosmic dipole tension, Mon. Not. Roy. Astron.
Soc. 512 (2022), no. 3 3895–3905, [arXiv:2111.03616].
[3] C. Guandalin, J. Piat, C. Clarkson, and R. Maartens, Theoretical systematics in testing the
Cosmological Principle with the kinematic quasar dipole, arXiv:2212.04925.
[4] F. Sorrenti, R. Durrer, and M. Kunz, The Dipole of the Pantheon+SH0ES Data,
arXiv:2212.10328.
[5] F. Atrio-Barandela, A. Kashlinsky, H. Ebeling, D. J. Fixsen, and D. Kocevski, Probing the
Dark Flow Signal in Wmap 9 -year and Planck Cosmic Microwave Background Maps,
Astrophys. J. 810 (2015), no. 2 143, [arXiv:1411.4180].
[6] J. Cervero and L. Jacobs, Classical Yang-Mills Fields in a Robertson-walker Universe, Phys.
Lett. B 78 (1978) 427–429.
[7] D. V. Galtsov and M. S. Volkov, Yang-Mills cosmology: Cold matter for a hot universe, Phys.
Lett. B 256 (1991) 17–21.
[8] B. K. Darian and H. P. Kunzle, Cosmological Einstein Yang-Mills equations, J. Math. Phys. 38
(1997) 4696–4713, [gr-qc/9610026].
[9] A. Maleknejad and M. M. Sheikh-Jabbari, Gauge-flation: Inflation From Non-Abelian Gauge
Fields, Phys. Lett. B 723 (2013) 224–228, [arXiv:1102.1513].
[10] A. Maleknejad, M. M. Sheikh-Jabbari, and J. Soda, Gauge Fields and Inflation, Phys. Rept.
528 (2013) 161–261, [arXiv:1212.2921].
[11] C. Armendariz-Picon, Could dark energy be vector-like?, JCAP 07 (2004) 007,
[astro-ph/0405267].
[12] S. Endlich, A. Nicolis, and J. Wang, Solid Inflation, JCAP 10 (2013) 011, [arXiv:1210.0569].
[13] M. Bucher and D. N. Spergel, Is the dark matter a solid?, Phys. Rev. D 60 (1999) 043505,
[astro-ph/9812022].
[14] A. Gruzinov, Elastic inflation, Phys. Rev. D 70 (2004) 063518, [astro-ph/0404548].
[15] F. Piazza, D. Pirtskhalava, R. Rattazzi, and O. Simon, Gaugid inflation, JCAP 11 (2017) 041,
[arXiv:1706.03402].
[16] A. Nicolis, R. Penco, F. Piazza, and R. Rattazzi, Zoology of condensed matter: Framids,
ordinary stuff, extra-ordinary stuff, JHEP 06 (2015) 155, [arXiv:1501.03845].
[17] J. Kang and A. Nicolis, Platonic solids back in the sky: Icosahedral inflation, JCAP 03 (2016)
050, [arXiv:1509.02942].
[18] E. Cremmer and J. Scherk, Spontaneous dynamical breaking of gauge symmetry in dual models,
Nucl. Phys. B 72 (1974) 117–124.
[19] J. A. Stein-Schabes and M. Gleiser, Einstein-Kalb-Ramond Cosmology, Phys. Rev. D 34 (1986)
3242.
[20] E. J. Copeland, A. Lahiri, and D. Wands, String cosmology with a time dependent
antisymmetric tensor potential, Phys. Rev. D 51 (1995) 1569–1576, [hep-th/9410136].
[21] E. Elizalde, S. D. Odintsov, T. Paul, and D. S´aez-Chill´on G´omez, Inflationary universe in
F (R) gravity with antisymmetric tensor fields and their suppression during its evolution, Phys.
Rev. D 99 (2019), no. 6 063506, [arXiv:1811.02960].
[22] T. L. Curtright and P. G. O. Freund, Massive dual fields, Nucl. Phys. B 172 (1980) 413–424.
– 50 –
[23] Y. Matsuo and A. Sugamoto, Note on a description of a perfect fluid by the Kalb–Ramond
field, PTEP 2021 (2021), no. 12 12C104.
[24] B. Horn, A. Nicolis, and R. Penco, Effective string theory for vortex lines in fluids and
superfluids, JHEP 10 (2015) 153, [arXiv:1507.05635].
[25] N. Arkani-Hamed, H.-C. Cheng, M. A. Luty, and S. Mukohyama, Ghost condensation and a
consistent infrared modification of gravity, JHEP 05 (2004) 074, [hep-th/0312099].
[26] N. Arkani-Hamed, P. Creminelli, S. Mukohyama, and M. Zaldarriaga, Ghost inflation, JCAP
04 (2004) 001, [hep-th/0312100].
[27] E. Babichev, Formation of caustics in k-essence and Horndeski theory, JHEP 04 (2016) 129,
[arXiv:1602.00735].
[28] E. Babichev and S. Ramazanov, Caustic free completion of pressureless perfect fluid and
k-essence, JHEP 08 (2017) 040, [arXiv:1704.03367].
[29] E. Babichev, S. Ramazanov, and A. Vikman, Recovering P (X) from a canonical complex field,
JCAP 11 (2018) 023, [arXiv:1807.10281].
[30] S. Mizuno, S. Mukohyama, S. Pi, and Y.-L. Zhang, Hyperbolic field space and swampland
conjecture for DBI scalar, JCAP 09 (2019) 072, [arXiv:1905.10950].
[31] S. Mukohyama and R. Namba, Partial UV Completion of P (X) from a Curved Field Space,
JCAP 02 (2021) 001, [arXiv:2010.09184].
[32] K. Aoki, S. Mukohyama, and R. Namba, Positivity vs. Lorentz-violation: an explicit example,
JCAP 10 (2021) 079, [arXiv:2107.01755].
[33] S. Dubovsky, T. Gregoire, A. Nicolis, and R. Rattazzi, Null energy condition and superluminal
propagation, JHEP 03 (2006) 025, [hep-th/0512260].
[34] B. Carter, Axionic vorticity variational formulation for relativistic perfect fluids, Class. Quant.
Grav. 11 (1994) 2013–2030.
[35] B. Carter and D. Langlois, Kalb-Ramond coupled vortex fibration model for relativistic
superfluid dynamics, Nucl. Phys. B 454 (1995) 402–424, [hep-th/9611082].
[36] S. Garcia-Saenz, E. Mitsou, and A. Nicolis, A multipole-expanded effective field theory for
vortex ring-sound interactions, JHEP 02 (2018) 022, [arXiv:1709.01927].
[37] E. Pajer and D. Stefanyszyn, Symmetric Superfluids, JHEP 06 (2019) 008,
[arXiv:1812.05133].
[38] N. Afshordi, D. J. H. Chung, and G. Geshnizjani, Cuscuton: A Causal Field Theory with an
Infinite Speed of Sound, Phys. Rev. D 75 (2007) 083513, [hep-th/0609150].
[39] H. Gomes and D. C. Guariento, Hamiltonian analysis of the cuscuton, Phys. Rev. D 95 (2017),
no. 10 104049, [arXiv:1703.08226].
[40] M. Born and L. Infeld, Foundations of the new field theory, Proc. Roy. Soc. Lond. A 144
(1934), no. 852 425–451.
[41] C. Cheung, P. Creminelli, A. L. Fitzpatrick, J. Kaplan, and L. Senatore, The Effective Field
Theory of Inflation, JHEP 03 (2008) 014, [arXiv:0709.0293].
[42] K. Aoki, M. A. Gorji, S. Mukohyama, and K. Takahashi, The effective field theory of
vector-tensor theories, JCAP 01 (2022), no. 01 059, [arXiv:2111.08119].
[43] K. Aoki, M. A. Gorji, S. Mukohyama, and K. Takahashi, Effective Field Theory of Gravitating
Continuum: Solids, Fluids, and Aether Unified, arXiv:2204.06672.
[44] H. Motohashi, T. Suyama, and K. Takahashi, Fundamental theorem on gauge fixing at the
action level, Phys. Rev. D 94 (2016), no. 12 124021, [arXiv:1608.00071].
– 51 –
[45] J. A. R. Cembranos, C. Hallabrin, A. L. Maroto, and S. J. N. Jareno, Isotropy theorem for
cosmological vector fields, Phys. Rev. D 86 (2012) 021301, [arXiv:1203.6221].
[46] J. A. R. Cembranos, A. L. Maroto, and S. J. N´
un
˜ez Jare˜
no, Isotropy theorem for cosmological
Yang-Mills theories, Phys. Rev. D 87 (2013), no. 4 043523, [arXiv:1212.3201].
[47] J. A. R. Cembranos, A. L. Maroto, and S. J. N´
un
˜ez Jare˜
no, Isotropy theorem for arbitrary-spin
cosmological fields, JCAP 03 (2014) 042, [arXiv:1311.1402].
[48] J. Beltr´
an Jim´enez, J. M. Ezquiaga, and L. Heisenberg, Probing cosmological fields with
gravitational wave oscillations, JCAP 04 (2020) 027, [arXiv:1912.06104].
[49] J. M. Ezquiaga, W. Hu, M. Lagos, and M.-X. Lin, Gravitational wave propagation beyond
general relativity: waveform distortions and echoes, JCAP 11 (2021), no. 11 048,
[arXiv:2108.10872].
[50] R. R. Caldwell, C. Devulder, and N. A. Maksimova, Gravitational wave–Gauge field
oscillations, Phys. Rev. D 94 (2016), no. 6 063005, [arXiv:1604.08939].
[51] J. Beltr´
an Jim´enez and L. Heisenberg, Non-trivial gravitational waves and structure formation
phenomenology from dark energy, JCAP 09 (2018) 035, [arXiv:1806.01753].
[52] R. R. Caldwell and C. Devulder, Gravitational Wave Opacity from Gauge Field Dark Energy,
Phys. Rev. D 100 (2019), no. 10 103510, [arXiv:1802.07371].
[53] G. W. Horndeski, Conservation of Charge and the Einstein-Maxwell Field Equations, J. Math.
Phys. 17 (1976) 1980–1987.
[54] D. Yoshida, 2-form gauge theory dual to scalar-tensor theory, Phys. Rev. D 100 (2019) 084047,
[arXiv:1906.02462].
[55] K. Takahashi and D. Yoshida, Ghost-free resummation of gravitational interactions of a
two-form gauge field, Phys. Rev. D 101 (2020), no. 2 024049, [arXiv:1910.12508].
[56] D. Bettoni and S. Liberati, Dynamics of non-minimally coupled perfect fluids, JCAP 08 (2015)
023, [arXiv:1502.06613].
– 52 –
...