Fayet–Iliopoulos terms in supergravity and cosmology

By P. Binétruy, G. Dvali, R. Kallosh, A. Proeyen. 2004

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We clarify the structure of N = 1 supergravity in 1+3 dimensions with constant Fayet–Iliopoulos (FI) terms. The FI terms gξ induce non-vanishing R-charges for the fermions and the superpotential. Therefore the D-term inflation model in supergravity with constant FI terms has to be revisited. We present all corrections of order gξ/M2P to the classical supergravity action required by local supersymmetry and provide a gauge-anomaly-free version of the model. We also investigate the case of the so-called anomalous U(1) when a chiral superfield is shifted under U(1). In such a case, in the context of string theory, the FI terms originate from the derivative of the Kähler potential and they are inevitably field dependent. This raises an issue of stabilization of the relevant field in applications to cosmology. The recently suggested equivalence between the D-term strings and D-branes of type II theory shows that brane–anti-brane systems produce the FI terms in the effective 4d theory, with the Ramond–Ramond axion shifting under the U(1) symmetry. This connection gives the possibility to interpret many unknown properties of systems in the more familiar language of 4d supergravity D-terms, and vice versa. For instance, the shift of the axion field in both cases restricts the possible forms of the moduli-stabilizing superpotential. We provide some additional consistency checks of the correspondence of D-term strings to D-branes and show that instabilities of the two are closely related. Surviving cosmic D-strings of the type II theory may be potentially observed in the form of D-term strings of 4d supergravity. We study such string solutions of supergravity with constant FI terms with one half supersymmetry unbroken and explain some of the puzzling properties of the zero modes around cosmic strings, such as the difference between the numbers of fermionic and bosonic modes.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/173e109ba10f401fe8117786eba0ac5aabd1900f

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Citations in the corpus

Distributions of flux vacua (2004, background): “4.1 Supersymmetric and anti-supersymmetric branches 30 4.2 Intermediate branches 31 4.2.1 Large complex structure limit 32 4.2.2 Conifold limit 34 4.2.3 Distribution of cosmological constants in conifold limit 36”
Cosmology with nilpotent superfields (2014, background): “Meanwhile there are well-known inflationary models in supergravity associated with the D-term potential [38], [39].”
Hilltop inflation (2005, background): “(For a thorough review of the rather delicate status of D-term inflation, see [42].”
D-branes on general Script N = 1 backgrounds: superpotentials and D-terms (2006, background): “Furthermore the authors of [29] proposed an identification of the N = 1 four-dimensional supergravity they started from with the effective supergravity theory describing some main features of a DD̄-brane pair filling the four flat space-time dimensions and wrapping some internal cycle (see also the ”
Gaugino Condensates and D-terms from D7-branes (2006, background): “While this D-term uplifting mechanism looks quite compelling, it was already pointed out in [18] and further stressed in [30, 29, 26, 31, 32] that there seems to be a tension between the necessity of the gauging of the shift symmetry (1.”
Building a better racetrack (2004, unknown): “April 2004 & Louis Michel Professor”
de Sitter vacua from uplifting D-terms in effective supergravities from realistic strings (2006, background): “Then the FI term is purely constant [10].”
Mass hierarchies and non-decoupling in multi-scalar field dynamics (2010, background): “[6] P.”
Distributions of nonsupersymmetric flux vacua (2004, background): “6 While it has been argued [21, 6 ] that if the anti-D3 contribution has an EFT description, this must be”