F‐theory and unpaired tensors in 6D SCFTs and LSTs. Issue 8 (25th July 2016)

• Record Type: Journal Article
• Authors: Morrison, David R.; Rudelius, Tom
• Is Part Of: Fortschritte der Physik. Volume 64:Issue 8/9(2016)
• Page Start: 645
• Page End: 656
• Publication Date: 2016-07-25
• Subjects: Physics -- Periodicals; 530.05
• DOI: 10.1002/prop.201600069
• Languages: English
• ISSNs: 0015-8208

Abstract

Abstract : Global symmetries for 6D SCFTs and LSTs having a single "unpaired" tensor are investigated. It is verified that for every such theory built from F‐theory whose tensor has Dirac self‐pairing equal to −1, the global symmetry algebra is a subalgebra of e8 . This result is new if the F‐theory presentation of the theory involves a one‐parameter family of nodal or cuspidal rational curves (i.e., Kodaira types I1 or II) rather than elliptic curves (Kodaira type I0 ). For such theories, this condition on the global symmetry algebra appears to fully capture the constraints on coupling these theories to others in the context of multi‐tensor theories. For the analogous problem for theories whose tensor has Dirac self‐pairing equal to −2 the global symmetry algebra is found to be a subalgebra of su(2). Abstract : We investigate global symmetries for 6D SCFTs and LSTs having a single "unpaired" tensor, that is, a tensor with no associated gauge symmetry. We verify that for every such theory built from F‐theory whose tensor has Dirac self‐pairing equal to −1, the global symmetry algebra is a subalgebra of e 8 . This result is new if the F‐theory presentation of the theory involves a one‐parameter family of nodal or cuspidal rational curves (i.e., Kodaira types I 1 or II ) rather than elliptic curves (Kodaira type I 0 ). For such theories, this condition on the global symmetry algebra appears to fully capture the constraints on coupling these theories to others in the context of multi‐tensor theories. We also study the analogous problem for theories whose tensor has Dirac self‐pairing equal to −2 and find that the global symmetry algebra is a subalgebra of su ( 2 ) . However, in this case there are additional constraints on F‐theory constructions for coupling these theories to others.