TY - JOUR

T1 - Search for a Minimal N=1 Superconformal Field Theory in 4D

AU - Xie, Dan

AU - Yonekura, Kazuya

N1 - Funding Information:
We would like to thank Dongmin Gang, Yu Nakayama, and Tomoki Ohtsuki for stimulating discussions. The work of K. Y is supported by World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan. D. X. would like to thank the hospitality of IPMU where this work initiated. The work of D. X. is supported by the Center for Mathematical Sciences and Applications at Harvard University.

PY - 2016/7/1

Y1 - 2016/7/1

N2 - We discuss a candidate for a minimal interacting four-dimensional N=1 superconformal field theory. The model contains a chiral primary operator u satisfying the chiral ring relation u2=0, and its scaling dimension is Δ(u)=1.5. The model is derived by turning on a N=1 preserving deformation of N=2 A2 Argyres-Douglas theory. The central charges are given by (a,c)=(263/768,271/768)≃(0.342,0.353). There is no moduli space of vacua, no flavor symmetry, and the chiral ring is finite.

AB - We discuss a candidate for a minimal interacting four-dimensional N=1 superconformal field theory. The model contains a chiral primary operator u satisfying the chiral ring relation u2=0, and its scaling dimension is Δ(u)=1.5. The model is derived by turning on a N=1 preserving deformation of N=2 A2 Argyres-Douglas theory. The central charges are given by (a,c)=(263/768,271/768)≃(0.342,0.353). There is no moduli space of vacua, no flavor symmetry, and the chiral ring is finite.

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U2 - 10.1103/PhysRevLett.117.011604

DO - 10.1103/PhysRevLett.117.011604

M3 - Article

AN - SCOPUS:84977654887

VL - 117

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 1

M1 - 011604

ER -