Central Charges and $U(1)_R$ Symmetries in ${\cal N}=1$ Super Yang-Mills

Details Central Charges and $U(1)_R$ Symmetries in ${\cal N}=1$ Super Yang-Mills Central Charges and $U(1)_R$ Symmetries in ${\cal N}=1$ Super Yang-Mills

2003-08-11

arxiv.org/abs/hep-th/0308071v1

JHEP 0311:013,2003

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 14 figures; harvmac

Scientific paper

10.1088/1126-6708/2003/11/013

We use recent results of Intriligator and Wecht [hep-th/0304128] to study the phase structure of $\NN=1$ super Yang-Mills theory with gauge group $SU(N_c)$, a chiral superfield in the adjoint, and $N_f$ chiral superfields in the fundamental representation of the gauge group. Our discussion sheds new light on [hep-th/0304128] and supports the conjecture that the central charge $a$ decreases under RG flows and is non-negative in unitary four dimensional conformal field theories.

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