Flux vacua with approximate flat directions

Cicoli, Michele; Licheri, Matteo; Mahanta, Ratul; Maharana, Anshuman

doi:10.1007/jhep10(2022)086

Cited by 10 publications

(7 citation statements)

References 96 publications

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“…Notice that the flux constraints (5.3) and (5.11) agree with the tree-level conditions exposed in [48,49] where the authors further consider exponentially suppressed corrections in order to generate small flux superpotentials. The complex flat direction we found here when S is invertible also seems to generalize the supersymmetric vacua uncovered in [50] to arbitrary Calabi-Yau geometries.…”

Section: Jhep01(2023)152supporting

confidence: 71%

“…Restricting to fluxes such that the matrix S, with S ij ≡ κ ijk f k A involving the triple intersection numbers of the mirror manifold, is invertible (a recurring assumption in this paper), we saw that the supersymmetric vacua feature one complex flat direction and are similar to those used in [48,49] to achieve small superpotentials. They also generalize the supersymmetric models studied in [50] to arbitrary Calabi-Yau compactifications. For these supersymmetric vacua, we addressed the computation of the scalar masses, and it seems that further analytical progress in obtaining the mass spectrum for models with h 2,1 > 2 requires more definite knowledge of the model under study.…”

Section: Jhep01(2023)152mentioning

confidence: 75%

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Analytics of type IIB flux vacua and their mass spectra

Coudarchet

Marchesano

Prieto

et al. 2023

J. High Energ. Phys.

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We analyze the tree-level potential of type IIB flux compactifications in warped Calabi-Yau orientifolds, in regions of weak coupling and moderately large complex structure. In this regime, one may approximate the flux-induced superpotential W by a polynomial on the axio-dilaton and complex structure fields, and a significant fraction of vacua corresponds to a quadratic W. In this quadratic case, we argue that vacua fall into three classes, for which one can push the analytic description of their features. In particular, we provide analytic expressions for the vacuum expectation values and flux-induced masses of the axio-dilaton and complex structure fields in a large subclass of vacua, independently of the Calabi-Yau and the number of moduli. We show that supersymmetric vacua always contain flat directions, at least at this level of approximation. Our findings allow to generate vast ensembles of flux vacua in specific Calabi-Yau geometries, as we illustrate in a particular example.

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Section: Jhep01(2023)152supporting

confidence: 71%

Section: Jhep01(2023)152mentioning

confidence: 75%

Analytics of type IIB flux vacua and their mass spectra

Coudarchet

Marchesano

Prieto

et al. 2023

J. High Energ. Phys.

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“…For early work on complex structure moduli stabilisation in specific settings see[84,93,94,95,96,97]. More recently, explicit studies of the flux induced potential have been carried out in[98,99]. An interesting recent development is the 'tadpole conjecture' (see[100,101,102,103,104,105,106]).…”

mentioning

confidence: 99%

String Cosmology: from the Early Universe to Today

Cicoli¹,

Conlon²,

Maharana³

et al. 2023

Preprint

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We review applications of string theory to cosmology, from primordial times to the present-day accelerated expansion. Starting with a brief overview of cosmology and string compactifications, we discuss in detail moduli stabilisation, inflation in string theory, the impact of string theory on post-inflationary dynamics (reheating, moduli domination, kination), dark energy (the cosmological constant from a string landscape and models of quintessence) and various alternative scenarios (string/brane gases, the pre big-bang scenario, rolling tachyons, ekpyrotic/cyclic cosmologies, bubbles of nothing, S-brane and holographic cosmologies). The state of the art in string constructions is described in each topic and, where relevant, connections to swampland conjectures are made. The possibilities for novel particles and excitations (axions, moduli, cosmic strings, branes, solitons, oscillons and boson stars) are emphasised. Implications for the physics of the CMB, gravitational waves, dark matter and dark radiation are discussed along with potential observational signatures.

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“…2 See also [9][10][11], which showcase the lightness of conifold moduli in generic KKLT-like constructions. 3 For recent studies of flux vacua with small flux superpotential, see [12][13][14][15][16][17][18][19]. 4 A sufficient condition for the generation of the superpotential is h • (D, O D ) = (1, 0, 0, 0) for a smooth D. An important open problem is to understand when a non-rigid divisor D can contribute to the superpotential by means of rigidification by spacetime filling D-branes or fluxes [21,22].…”

Section: Introductionmentioning

confidence: 99%

On the intermediate Jacobian of M5-branes

Jefferson¹,

Kim²

2022

Preprint

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We study Euclidean M5-branes wrapping vertical divisors in elliptic Calabi-Yau fourfold compactifications of M/F-theory that admit a Sen limit. We construct these Calabi-Yau fourfolds as elliptic fibrations over coordinate flip O3/O7 orientifolds of toric hypersurface Calabi-Yau threefolds. We devise a method to analyze the Hodge structure (and hence the dimension of the intermediate Jacobian) of vertical divisors in these fourfolds, using only the data available from a type IIB compactification on the O3/O7 Calabi-Yau orientifold. Our method utilizes simple combinatorial formulae (that we prove) for the equivariant Hodge numbers of the Calabi-Yau orientifolds and their prime toric divisors, along with a formula for the Euler characteristic of vertical divisors in the corresponding elliptic Calabi-Yau fourfold. Our formula for the Euler characteristic includes a conjectured correction term that accounts for the contributions of pointlike terminal Z 2 singularities corresponding to perturbative O3-planes. We check our conjecture in a number of explicit examples and find perfect agreement with the results of direct computations.

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Flux vacua with approximate flat directions

Cited by 10 publications

References 96 publications

Analytics of type IIB flux vacua and their mass spectra

Analytics of type IIB flux vacua and their mass spectra

String Cosmology: from the Early Universe to Today

On the intermediate Jacobian of M5-branes

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