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

David Kutasov, Andrei Parnachev, David A. Sahakyan

Abstract

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.

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

Abstract

We use recent results of Intriligator and Wecht [hep-th/0304128] to study the phase structure of super Yang-Mills theory with gauge group , a chiral superfield in the adjoint, and 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 decreases under RG flows and is non-negative in unitary four dimensional conformal field theories.

Paper Structure

This paper contains 14 figures.

Figures (14)

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