Universal class of type-IIB flux vacua with analytic mass spectrum

Sousa, Kepa; Urkiola, Mikel A.; Wachter, Jeremy M.

doi:10.1103/physrevd.103.106006

Cited by 12 publications

(23 citation statements)

References 53 publications

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“…In our scheme, the mass spectrum clearly depends on the correction K (3) , as one of the fields is only stabilised when they are taken into account. This is also consistent with the results of [45,48], since the parameter ξ that controls their mass spectrum is a simple function of K (3) . Furthermore, we also showed that in one particular case in which the matrix M is not invertible, we recover the residual flat direction found in [47] for the same flux choices.…”

Section: Discussionsupporting

confidence: 90%

“…Hence, the ansatz m a = (r/q)S abm b implies that C a = C a = 0 in (4.28). Thenm a ∝ t a and S ab ∝ κ ab , as in [48]. Moreover the ratio t a /t 0 is easily fixed at leading order, since (4.28) gives Finally, (4.30) determines the vev for the saxion t 0 .…”

Section: Jhep08(2021)077mentioning

confidence: 88%

“…Reducing our general F-theory setup to type IIB, we connected with several existing results in the literature. We realised that the flux choice made in [48] is one of the simplest that guarantee that the matrix M is invertible, implying that all complex structure moduli JHEP08(2021)077 and the dilaton are fixed. In our scheme, the mass spectrum clearly depends on the correction K (3) , as one of the fields is only stabilised when they are taken into account.…”

Section: Discussionmentioning

confidence: 99%

“…The analysis presented in this paper offers some avenues to follow in the future: first of all it would be interesting to calculate the precise mass spectra for the F-theory vacua obtained here as done in [45,48] for the type IIB case. In this way one could verify whether there is indeed a hierarchy between the masses of the fields in the complex structure sector.…”

Section: Discussionmentioning

confidence: 99%

“…Looking to the shape of M ij we observe a very straightforward flux choice for which the matrix M ij is invertible, and which is related to the ansatz taken in [48] for different reasons. Indeed, let us consider thatm a = 0 ∀a and take m a = (r/q)S abm b , with q ≡ gcd(κ abcm bmc )…”

Section: Jhep08(2021)077mentioning

confidence: 98%

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F-theory flux vacua at large complex structure

Marchesano

Prieto

Wiesner

2021

J. High Energ. Phys.

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We compute the flux-induced F-term potential in 4d F-theory compactifications at large complex structure. In this regime, each complex structure field splits as an axionic field plus its saxionic partner, and the classical F-term potential takes the form V = ZABρAρB up to exponentially-suppressed terms, with ρ depending on the fluxes and axions and Z on the saxions. We provide explicit, general expressions for Z and ρ, and from there analyse the set of flux vacua for an arbitrary number of fields. We identify two families of vacua with all complex structure fields fixed and a flux contribution to the tad- pole Nflux which is bounded. In the first and most generic one, the saxion vevs are bounded from above by a power of Nflux. In the second their vevs may be unbounded and Nflux is a product of two arbitrary integers, unlike what is claimed by the Tadpole Conjecture. We specialise to type IIB orientifolds, where both families of vacua are present, and link our analysis with previous results in the literature. We illustrate our findings with several examples.

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Section: Discussionsupporting

confidence: 90%

Section: Jhep08(2021)077mentioning

confidence: 88%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Jhep08(2021)077mentioning

confidence: 98%

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F-theory flux vacua at large complex structure

Marchesano

Prieto

Wiesner

2021

J. High Energ. Phys.

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On the Search for Low W₀

Broeckel

Cicoli

Maharana

et al. 2022

Fortschritte der Physik

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The magnitude of the vacuum expectation value of the Gukov‐Vafa‐Witten superpotential |W0|$|W_0|$ plays a central role in the phenomenology of type IIB flux compactifications. Recent analytical constructions have shown that perturbatively flat vacua can be used to obtain very low values of |W0|$|W_0|$. We present systematic algorithms to carry out exhaustive numerical searches for such vacua. We also analyse them in the statistical context, as part of the entire ensemble of type IIB flux vacua at low |W0|$|W_0|$. Our preliminary analysis indicates that these perturbatively flat vacua are statistically sparse in the whole set of vacua at low |W0|$|W_0|$ as calculated by Denef and Douglas. Two‐moduli examples are used to illustrate these more general findings in specific settings. We find that these simple (two moduli) cases are good examples for existence proofs but they do not feature a large statistical tuning freedom for phenomenological applications.

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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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Universal class of type-IIB flux vacua with analytic mass spectrum

Cited by 12 publications

References 53 publications

F-theory flux vacua at large complex structure

F-theory flux vacua at large complex structure

On the Search for Low W₀

Analytics of type IIB flux vacua and their mass spectra

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Universal class of type-IIB flux vacua with analytic mass spectrum

Cited by 12 publications

References 53 publications

F-theory flux vacua at large complex structure

F-theory flux vacua at large complex structure

On the Search for Low W0

Analytics of type IIB flux vacua and their mass spectra

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Product

Resources

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On the Search for Low W₀