Three-forms and Fayet-Iliopoulos terms in supergravity: scanning Planck mass and BPS domain walls

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We propose a new swampland conjecture stating that the limit of vanishing gravitino mass corresponds to the massless limit of an infinite tower of states and to the consequent breakdown of the effective field theory. We test our proposal in large classes of models coming from compactification of string theory to four dimensions, where we identify the Kaluza-Klein nature of the tower of states becoming light. We point out a general relation between the gravitino mass and abelian gauge coupling in models with extended supersymmetry, which can survive also in examples with minimal supersymmetry. This allows us to connect our conjecture to other well established swampland conjectures, such as the weak gravity conjecture or the absence of global symmetries in quantum gravity. We discuss phenomenological implications of our conjecture in (quasi-)de Sitter backgrounds and extract a lower bound for the gravitino mass in terms of the Hubble parameter.

Section: Stu Modelmentioning

confidence: 89%

The gravitino and the swampland

Cribiori

Lüst

Scalisi

2021

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“…With the same argument, one can show that pure Fayet-Iliopoulos terms in N=1 supergravity are in contrast with the WGC[8].…”

mentioning

confidence: 80%

Weak gravity versus de Sitter

Cribiori

Dall’Agata

Farakos

2021

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We show that one can uncover a Dine-Seiberg problem for de Sitter critical points in supergravity theories by utilizing the magnetic weak gravity conjecture. We present a large variety of N=2 gauged supergravity models that include vector multiplets and in all cases we find that the weak gravity conjecture threatens de Sitter. A common feature in all such examples is a degenerate mass matrix for the gravitini, which we therefore deem a swampland criterion for de Sitter critical points.

“…A simple illustration of the restrictions placed by the magnetic WGC on supergravity theories is the following observation that was presented in [29]. If we consider the Freedman model [30] then the Lagrangian contains only gravitation with a positive cosmological constant, a U(1) gauge field (v µ ) that gauges the R-symmetry, and a massless, but charged, gravitino (ψ µ ).…”

Section: Warm-up: Gauged R-symmetry In N=1mentioning

confidence: 99%

The unbearable lightness of charged gravitini

Dall’Agata

Emelin

Farakos

et al. 2021

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We prove that charged gravitini cannot have parametrically small or vanishing Lagrangian mass in de Sitter vacua of extended supergravity while respecting the magnetic weak gravity conjecture. This places large classes of de Sitter solutions of gauged supergravity in the swampland, including all known stable solutions of the N=2 theory. We illustrate this result by analyzing a variety of de Sitter critical points of N=2 matter-coupled supergravity that also include new stable de Sitter solutions. Our results provide concrete evidence that (quasi) de Sitter with charged light gravitini should belong to the swampland, which also strongly resonates with the “festina lente” bound.