Conifold dynamics and axion monodromies
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Springer
Received: August 11, 2020 Accepted: September 21, 2020 Published: October 21, 2020
M. Scalisi, P. Soler, V. Van Hemelryck and T. Van Riet Institute of Theoretical Physics, KU Leuven, Celestijnenlaan 200D B-3001 Leuven, Belgium
E-mail: [email protected], [email protected], [email protected], [email protected] Abstract: It has recently been appreciated that the conifold modulus plays an important role in string-phenomenological set-ups involving warped throats, both by imposing constraints on model building and for obtaining a 10-dimensional picture of SUSY-breaking. In this note, we point out that the stability of the conifold modulus furthermore prevents large super-Planckian axion monodromy field ranges caused by brane-flux decay processes down warped throats. Our findings imply a significant challenge for concrete string theory embeddings of the inflationary flux-unwinding scenario. Keywords: D-branes, Flux compactifications, Superstring Vacua ArXiv ePrint: 2007.15391
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP10(2020)133
JHEP10(2020)133
Conifold dynamics and axion monodromies
Contents 1 Introduction
1
2 The 2.1 2.2 2.3
3 3 5 6
conifold and brane-flux moduli The conifold modulus SUSY breaking and the conifold instability The brane-flux transition modulus
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4 Axion monodromies and field range bounds 4.1 General considerations 4.2 Anti-brane annihilation 4.3 Brane creation from fluxes
9 9 11 15
5 Discussion
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A Mass ratio of the conifold and brane-flux moduli
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1
Introduction
Warped throats provide some of the most interesting playgrounds for string phenomenology due to their capacity of generating exponential hierarchies between energy scales. One of their most remarkable roles arises in the context of supersymmetry (SUSY) breaking and, in particular, in the construction of de Sitter (dS) vacua [1]. Long throats can be used to suppress and keep control over SUSY breaking effects induced by anti-D3-branes to an otherwise SUSY geometry. Anti-branes naturally live at the tip of warped throats and see their tensions exponentially redshifted. Under the right circumstances, this tension may provide just enough energy to generate a net positive vacuum energy, yet be small enough to maintain perturbative control and to not destabilise the geometry. Despite thorough scrutiny, the viability of dS uplifts in concrete compactifications and the required delicate balance of hierarchies is still the subject of much debate (see [2] and [3] for recent discussions from complementary viewpoints). The existing controversy regarding the dS landscape in string theory has only been rising since it became part of the web of Swampland conjectures that de Sitter vacua might simply not be there at all [2, 4, 5] (see [6–10] for related ideas) or have dramatic shorter lifespans than assumed sofar [11].1 Part of the recent efforts have been devoted to analysing the effects that light geometric modes localised down warped throats can
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