Counting associatives in compact G2 orbifolds

被引:14
作者
Acharya, Bobby Samir [1 ,2 ]
Braun, Andreas P. [3 ]
Svanes, Eirik Eik [1 ,2 ]
Valandro, Roberto [2 ,4 ,5 ]
机构
[1] Kings Coll London, Dept Phys, London WC2R 2LS, England
[2] Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy
[3] Univ Oxford, Math Inst, Woodstock Rd, Oxford OX2 6GG, England
[4] Univ Trieste, Dipartimento Fis, Str Costiera 11, I-34151 Trieste, Italy
[5] INFN, Sez Trieste, Via Valerio 2, I-34127 Trieste, Italy
关键词
String Duality; F-Theory; M-Theory; D-branes; SUPERPOTENTIALS;
D O I
10.1007/JHEP03(2019)138
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
引用
收藏
页数:25
相关论文
共 47 条
[1]  
Acharya B. S., 1999, Adv. Theor. Math. Phys, V3, P227, DOI [DOI 10.4310/ATMP.1999.V3.N2.A3, 10.4310/ATMP.1999.v3.n2.a3]
[2]   N=1 heterotic/M-theory duality and joyce manifolds [J].
Acharya, BS .
NUCLEAR PHYSICS B, 1996, 475 (03) :579-596
[3]  
Alexeev V., MATH0406536
[4]  
[Anonymous], hep-th/0109152
[5]  
[Anonymous], HEPTH9907026
[6]  
[Anonymous], 2000, COMPACT MANIFOLDS SP
[7]  
Aspinwall P.S., 1996, AMS/IP Stud. Adv. Math, V1, P703, DOI DOI 10.1090/AMSIP/001/27
[8]  
Aspinwall P. S., 1996, Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 96): Fields, Strings, and Duality, P421
[9]  
Barth W, 1984, ERGEBNISSE MATH IHRE
[10]   Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau four-folds [J].
Becker, K ;
Bekcer, M ;
Morrison, DR ;
Ooguri, H ;
Oz, Y ;
Yin, Z .
NUCLEAR PHYSICS B, 1996, 480 (1-2) :225-238