4d N=1 from 6d (1,0)

被引：0

作者：

Razamat, Shlomo S. ^{[1
]}

Vafa, Cumrun ^{[2
]}

Zafrir, Gabi ^{[1
,3
]}

机构：

[1] Technion, Phys Dept, IL-32000 Haifa, Israel

[2] Harvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USA

[3] Univ Tokyo, Kavli IPMU WPI, UTIAS, Kashiwa, Chiba 2778583, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 04期

基金：

以色列科学基金会;

关键词：

Duality in Gauge Field Theories; Field Theories in Higher Dimensions; Supersymmetric Gauge Theory; Supersymmetry and Duality; SUPERCONFORMAL INDEX; OPERATORS;

D O I：

10.1007/JHEP04(2017)064

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 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.

引用

页数：79

共 57 条

[31] S-duality and 2d topological QFT [J].