Counting associatives in compact G                          
                        2
                                                  orbifolds

Bobby Samir Acharya; Andreas P. Braun; Eirik Eik Svanes; Roberto Valandro

doi:10.1007/JHEP03(2019)138

Counting associatives in compact G ₂ orbifolds

Bobby Samir Acharya, Andreas P. Braun, Eirik Eik Svanes^*, Roberto Valandro

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

We describe a class of compact G ₂ orbifolds constructed from non-symplectic involutions of K3 surfaces. Within this class, we identify a model for which there are infinitely many associative submanifolds contributing to the effective superpotential of M-theory compactifications. Under a chain of dualities, these can be mapped to F-theory on a Calabi-Yau fourfold, and we find that they are dual to an example studied by Donagi, Grassi and Witten. Finally, we give two different descriptions of our main example and the associative submanifolds as a twisted connected sum.

Original language	English
Article number	138
Journal	Journal of High Energy Physics
Volume	2019
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2019)138
Publication status	Published - 22 Mar 2019

Keywords

D-branes
F-Theory
M-Theory
String Duality

Access to Document

10.1007/JHEP03(2019)138

Cite this

@article{413fab0777254c42a1ef5fe91cb75c68,

title = "Counting associatives in compact G 2 orbifolds",

abstract = " We describe a class of compact G 2 orbifolds constructed from non-symplectic involutions of K3 surfaces. Within this class, we identify a model for which there are infinitely many associative submanifolds contributing to the effective superpotential of M-theory compactifications. Under a chain of dualities, these can be mapped to F-theory on a Calabi-Yau fourfold, and we find that they are dual to an example studied by Donagi, Grassi and Witten. Finally, we give two different descriptions of our main example and the associative submanifolds as a twisted connected sum. ",

keywords = "D-branes, F-Theory, M-Theory, String Duality",

author = "Acharya, {Bobby Samir} and Braun, {Andreas P.} and Svanes, {Eirik Eik} and Roberto Valandro",

year = "2019",

month = mar,

day = "22",

doi = "10.1007/JHEP03(2019)138",

language = "English",

volume = "2019",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "IOP Publishing",

number = "3",

}

TY - JOUR

T1 - Counting associatives in compact G 2 orbifolds

AU - Acharya, Bobby Samir

AU - Braun, Andreas P.

AU - Svanes, Eirik Eik

AU - Valandro, Roberto

PY - 2019/3/22

Y1 - 2019/3/22

N2 - We describe a class of compact G 2 orbifolds constructed from non-symplectic involutions of K3 surfaces. Within this class, we identify a model for which there are infinitely many associative submanifolds contributing to the effective superpotential of M-theory compactifications. Under a chain of dualities, these can be mapped to F-theory on a Calabi-Yau fourfold, and we find that they are dual to an example studied by Donagi, Grassi and Witten. Finally, we give two different descriptions of our main example and the associative submanifolds as a twisted connected sum.

AB - We describe a class of compact G 2 orbifolds constructed from non-symplectic involutions of K3 surfaces. Within this class, we identify a model for which there are infinitely many associative submanifolds contributing to the effective superpotential of M-theory compactifications. Under a chain of dualities, these can be mapped to F-theory on a Calabi-Yau fourfold, and we find that they are dual to an example studied by Donagi, Grassi and Witten. Finally, we give two different descriptions of our main example and the associative submanifolds as a twisted connected sum.

KW - D-branes

KW - F-Theory

KW - M-Theory

KW - String Duality

UR - http://www.scopus.com/inward/record.url?scp=85063397412&partnerID=8YFLogxK

U2 - 10.1007/JHEP03(2019)138

DO - 10.1007/JHEP03(2019)138

M3 - Article

AN - SCOPUS:85063397412

SN - 1126-6708

VL - 2019

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 3

M1 - 138

ER -

Counting associatives in compact G ₂ orbifolds

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this