Note on gauge and gravitational anomalies of discrete ZN symmetries
| Autor: | Diptimoy Ghosh, Pritibhajan Byakti, Tarun Sharma |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Instanton Physics beyond the Standard Model FOS: Physical sciences Discrete Symmetries Superspace 01 natural sciences High Energy Physics::Theory High Energy Physics - Phenomenology (hep-ph) 0103 physical sciences lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Anomalies in Field and String Theories 010306 general physics Mathematical physics Physics R-symmetry 010308 nuclear & particles physics Supergravity High Energy Physics::Phenomenology Gravitational instanton High Energy Physics - Phenomenology High Energy Physics - Theory (hep-th) lcsh:QC770-798 Gravitino Minimal Supersymmetric Standard Model |
| Zdroj: | Journal of High Energy Physics, Vol 2018, Iss 1, Pp 1-23 (2018) Journal of High Energy Physics |
| ISSN: | 1029-8479 |
| Popis: | In this note, we discuss the consistency conditions which a discrete $Z_N$ symmetry should satisfy in order that it is not violated by gauge and gravitational instantons. As examples, we enlist all the $Z_N$ ${\cal R}$-symmetries as well as non-${\cal R}$ $Z_N$ symmetries (N=2,3,4) in the minimally supersymmetric standard model (MSSM) that are free from gauge and gravitational anomalies. We show that there exists non-anomalous discrete symmetries that forbid Baryon number violation up to dimension 6 level (in superspace). We also observe that there exists no non-anomalous $Z_3$ ${\cal R}$-symmetry in the MSSM. Furthermore, we point out that in a theory with one Majorana spin 3/2 gravitino, a large class of $Z_4$ ${\cal R}$-symmetries are violated in the presence of Eguchi-Hanson (EH) gravitational instanton. This is also in general true for higher $Z_N$ ${\cal R}$-symmetries. We also notice that in 4 dimensional ${\cal N}=1$ supergravity, the global $U(1)$ ${\cal R}$-symmetry is always violated by the EH instanton irrespective of the matter content of the theory. Comment: Version to appear in JHEP |
| Databáze: | OpenAIRE |
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