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

Andrei Parnachev; David A. Sahakyan; David Kutasov

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

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arxiv hep-th/0308071 v1 pith:UXSRU5YC submitted 2003-08-11 hep-th

David Kutasov , Andrei Parnachev , David A. Sahakyan This is my paper

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keywords centralchiralgaugegrouphep-thsuperyang-millsadjoint

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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.

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