The Weak Gravity Conjecture and BPS Particles

In this article, we present a systematic analysis of the so-called perturbatively flat flux vacua (PFFV) for the mirror Calabi-Yau (CY) 3-folds ($$ {\overset{\sim }{X}}_3 $$ X ~ 3 ) with h1,1($$ {\overset{\sim }{X}}_3 $$ X ~ 3 ) = 2 arising from the Kreuzer-Skarke database of the four-dimensional reflexive polytopes. We consider the divisor topologies of the CY 3-folds for classifying the subsequent models into three categories; (i) models with the so-called Swiss-cheese structure, (ii) models with the K3-fibered structure, and (iii) the remaining ones which we call as models of “Hybrid type”. In our detailed analysis of PFFV we find that for a given fixed value of the D3 tadpole charge Nflux, the K3-fibered mirror CY 3-folds have significantly larger number of such PFFV as compared to those which have Swiss-cheese structure, while the Hybrid type models have a mixed behavior. We also compute the Gopakumar-Vafa invariants necessary for fixing the flat valley in the weak string-coupling and large complex-structure regime by using the non-perturbative effects, which subsequently reduce the number of physically trustworthy vacua quite significantly. Moreover, we find that there are some examples in which the PFFV are protected even at the leading orders of the non-perturbative effects due to the some underlying symmetry in the CY geometry, which we call as “Exponentially flat flux vacua”. We also present a new class of PFFV using the S-duality arguments.

Section: Jhep02(2022)205mentioning

confidence: 99%

Section: A Relevant Data For Cy Geometries With H 11 =mentioning

confidence: 99%

Systematics of perturbatively flat flux vacua

Carta

Mininno

Shukla

2022

“…We begin with a review of relevant aspects of 5d supergravity, following the conventions of [57]. At a generic point on the Coulomb branch, the action for the bosonic fields in a gauge theory with n vector multiplets is given by…”

Section: An Analog In 5d Supergravitymentioning

confidence: 99%

“…As shown in [19] and as we will see explicitly in the examples below, such a limit necessarily has a vanishing gauge coupling g A → 0. This limit also has a diverging gauge coupling g B → ∞, which by the 2-form WGC implies the existence of a magnetic string with tension T ∝ g −1 B → 0 [57,58]. This string necessarily saturates a BPS bound [58].…”

Section: Jhep11(2021)004mentioning

confidence: 99%

See 1 more Smart Citation

The Weak Gravity Conjecture and axion strings

Heidenreich

Reece

Rudelius

2021

Self Cite

Strong (sublattice or tower) formulations of the Weak Gravity Conjecture (WGC) imply that, if a weakly coupled gauge theory exists, a tower of charged particles drives the theory to strong coupling at an ultraviolet scale well below the Planck scale. This tower can consist of low-spin states, as in Kaluza-Klein theory, or high-spin states, as with weakly-coupled strings. We provide a suggestive bottom-up argument based on the mild p-form WGC that, for any gauge theory coupled to a fundamental axion through a θF ∧ F term, the tower is a stringy one. The charge-carrying string states at or below the WGC scale gMPl are simply axion strings for θ, with charged modes arising from anomaly inflow. Kaluza-Klein theories evade this conclusion and postpone the appearance of high-spin states to higher energies because they lack a θF ∧ F term. For abelian Kaluza-Klein theories, modified arguments based on additional abelian groups that interact with the Kaluza-Klein gauge group sometimes pinpoint a mass scale for charged strings. These arguments reinforce the Emergent String and Distant Axionic String Conjectures. We emphasize the unproven assumptions and weak points of the arguments, which provide interesting targets for further work. In particular, a sharp characterization of when gauge fields admit θF ∧ F couplings and when they do not would be immensely useful for particle phenomenology and for clarifying the implications of the Weak Gravity Conjecture.

On the black hole/string transition

Chen

Maldacena

Witten

2023

We discuss aspects of the possible transition between small black holes and highly excited fundamental strings. We focus on the connection between black holes and the self gravitating string solution of Horowitz and Polchinski. This solution is interesting because it has non-zero entropy at the classical level and it is natural to suspect that it might be continuously connected to the black hole. Surprisingly, we find a different behavior for heterotic and type II cases. For the type II case we find an obstruction to the idea that the two are connected as classical solutions of string theory, while no such obstruction exists for the heterotic case. We further provide a linear sigma model analysis that suggests a continuous connection for the heterotic case. We also describe a solution generating transformation that produces a charged version of the self gravitating string. This provides a fuzzball-like construction of near extremal configurations carrying fundamental string momentum and winding charges. We provide formulas which are exact in α′ relating the thermodynamic properties of the charged and the uncharged solutions.