期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2017)064
关键词
Duality in Gauge Field Theories; Field Theories in Higher Dimensions; Supersymmetric Gauge Theory; Supersymmetry and Duality
资金
- NSF [PHY-1067976]
- Israel Science Foundation [352/13, 1696/15]
- German-Israeli Foundation for Scientific Research and Development [1156-124.7/2011]
- World Premier International Research Center Initiative (WPI), MEXT, Japan
- I-CORE Program of the Planning and Budgeting Committee
We study the geometry of 4d N = 1 SCFT's arising from compacti fi cation of 6d (1; 0) SCFT's on a Riemann surface. We show that the conformal manifold of the resulting theory is characterized, in addition to moduli of complex structure of the Riemann surface, by the choice of a connection for a vector bundle on the surface arising from flavor symmetries in 6d. We exemplify this by considering the case of 4d N = 1 SCFT's arising from M5 branes probing Z(k) singularity compacti fi ed on a Riemann surface. In particular, we study in detail the four dimensional theories arising in the case of two M5 branes on Z(2) singularity. We compute the conformal anomalies and indices of such theories in 4d and fi nd that they are consistent with expectations based on anomaly and the moduli structure derived from the 6 dimensional perspective.
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