Asset Details
Do you wish to reserve the book?
Modular fluxes, elliptic genera, and weak gravity conjectures in four dimensions
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
Modular fluxes, elliptic genera, and weak gravity conjectures in four dimensions
Do you wish to request the book?
Modular fluxes, elliptic genera, and weak gravity conjectures in four dimensions
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
Modular fluxes, elliptic genera, and weak gravity conjectures in four dimensions
2019
Overview
A
bstract
We analyse the Weak Gravity Conjecture for chiral four-dimensional F-theory compactifications with
N
= 1 supersymmetry. Extending our previous work on nearly tensionless heterotic strings in six dimensions, we show that under certain assumptions a tower of asymptotically massless states arises in the limit of vanishing coupling of a U(1) gauge symmetry coupled to gravity. This tower contains super-extremal states whose charge-to-mass ratios are larger than those of certain extremal dilatonic Reissner-Nordström black holes, precisely as required by the Weak Gravity Conjecture. Unlike in six dimensions, the tower of super-extremal states does not always populate a charge sub-lattice.
The main tool for our analysis is the elliptic genus of the emergent heterotic string in the chiral
N
= 1 supersymmetric effective theories. This also governs situations where the heterotic string is non-perturbative. We show how it can be computed in terms of BPS invariants on elliptic four-folds, by making use of various dualities and mirror symmetry. Compared to six dimensions, the geometry of the relevant elliptically fibered four-folds is substantially richer than that of the three-folds, and we classify the possibilities for obtaining critical, nearly tensionless heterotic strings. We find that the (quasi-)modular properties of the elliptic genus crucially depend on the choice of flux background. Our general results are illustrated in a detailed example.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
