A Note on the dS Swampland Conjecture, Non‐BPS Branes and K‐Theory

Blumenhagen, Ralph; Brinkmann, Max; Makridou, Andriana

doi:10.1002/prop.201900068

Cited by 9 publications

(21 citation statements)

References 53 publications

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“…for the number of NS5-branes on the heterotic side. 11 The apparent controversy of this example demonstrates that starting with incomplete cobordism structures has its limitations, but still has the potential to uncover new aspects of string theory. (5.28)…”

Section: Spinmentioning

confidence: 99%

“…10 Actually, for n odd, F n is not Spin and one has an additional non-trivial line bundle on the Spin c -manifold. 11 Coming back to the discussion around eq. (5.26), for B = dP 9 we obtain n T = 9 which is indeed the result for the Ωσ orientifold of [35].…”

Section: Comment On Gauging the Global Symmetry Of ω Spinmentioning

confidence: 99%

“…An interesting question in this context is whether the K-theory charge need to vanish on a compact space. In [10], a brane probe argument was given that suggested it, while in [11] the non-cancellation of the K-theory charge was related to a violation of the de Sitter swampland conjecture (see also [12]). 2 If the Ktheory charge is a global charge, it should better vanish in QG.…”

mentioning

confidence: 99%

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Open-Closed Correspondence of K-theory and Cobordism

Blumenhagen,

Cribiori

2021

Preprint

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Non-trivial K-theory groups and non-trivial cobordism groups can lead to global symmetries which are conjectured to be absent in quantum gravity. Inspired by open-closed string duality, we propose a correspondence between the two groups, which can be considered as the physical manifestation of a generalisation of the classic Conner-Floyd isomorphism. The picture is exemplified by the relations between KO-groups and Spincobordisms and between K-groups and Spin c -cobordisms. We mainly focus on the case in which the global symmetries are eventually gauged and, by combining K-theory and cobordism, we recover tadpole cancellation conditions in type I string theory and F-theory from a purely bottom-up perspective. In the spirit of the swampland program, we provide a prescription to compute the relative normalisation between cobordism and K-theory charges in these tadpoles, without relying on string theory input.

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Section: Spinmentioning

confidence: 99%

Section: Comment On Gauging the Global Symmetry Of ω Spinmentioning

confidence: 99%

mentioning

confidence: 99%

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Open-Closed Correspondence of K-theory and Cobordism

Blumenhagen,

Cribiori

2021

Preprint

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“…The refined version of the conjecture was motivated by stability of de Sitter extrema [8], by cosmological arguments through the slow-roll parameter η V [9], as well as by entropy arguments together with the distance conjecture on the dS space [10]. Many logic and solid arguments have been followed in the literature [11][12][13][14][15][16][17][18][19][20] so far with the purpose to give stronger ground basis to this conjecture. A matter of particular interest to us is the series of arguments supporting the de Sitter conjecture (dSC) based on the laws of thermodynamics [21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Inflationary Implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures

et al. 2021

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We present a proposal to relate the de Sitter conjecture (dSC) with the time dependence of fluxes via the covariant entropy bound (CEB). By assuming an early phase of accelerated expansion where the CEB is satisfied, we take into account a contribution from time-dependent flux compactification to the four-dimensional entropy which establishes a bound on the usual slow-roll parameters ηH and ϵH. We also show an explicit calculation of entropy from a toroidal flux compactification, from a transition amplitude of time-dependent fluxes which allows us to determine the conditions on which the bounds on the slow-roll parameters are in agreement to the dSC.

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“…For instance, it is known that fractional fluxes in string compactifications could be essential to reproduce inflation and decide wether the considered model is in or out the Swampland. Within this context it was also shown that the refined dS Conjecture is not valid in the presence of non-BPS states when the corresponding K-theory charged is not cancelled in the compact internal space [8].…”

Section: Introductionmentioning

confidence: 99%

Some remarks on the dS conjecture, fluxes and K-theory in IIB toroidal compactifications

Damián¹,

Loaiza-Brito²

2019

Preprint

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In this note we present a description on the implications on the refined dS Swampland conjecture by considering non-BPS states in type IIB toroidal compactifications . We concentrate on a model T-dual to type I theory for which the total K-theory charge of the non-BPS states vanishes on the six-dimensional torus modded out by an orientifold threeplane. Particularly we consider the presence of non-BPS five branes wrapping internal twocycles. We comment on the instability of this state by the presence of tachyon modes and the apparent violation of the refined dS conjecture at the minimum of the tachyon potential. The conjecture seems to be valid once we take into account that discrete K-theory charge vanishes. We also describe some issues related to the presence of NS-NS fluxes required to stabilize some moduli since they trigger the appearance of Freed-Witten anomalies. Cancellation of these anomalies implies a topological transformation between non-BPS states and fluxes with the same discrete K-theory charge. After the transition we observe that the dS vacuum constructed from the presence of non-BPS states is also unstable.

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A Note on the dS Swampland Conjecture, Non‐BPS Branes and K‐Theory

Cited by 9 publications

References 53 publications

Open-Closed Correspondence of K-theory and Cobordism

Open-Closed Correspondence of K-theory and Cobordism

Inflationary Implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures

Some remarks on the dS conjecture, fluxes and K-theory in IIB toroidal compactifications

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