Duality and dynamical supersymmetry breaking in Spin(10) with a spinor

Abstract

We study N = 1 supersymmetric Spin(10) chiral gauge theories with a single spinor representation and N vector representations. We present a dual description in terms of an N = 1 supersymmetric SU (N − 5) chiral gauge theory with a symmetric tensor, one fundamental and N antifundamental representations. The Spin(10) theory with N = 0 breaks supersymmetry at strong coupling; we study how this arises at weak coupling in the dual theory, which is a spontaneously broken gauge theory. Also, we recover various known dualities, find new dual pairs and generate new examples of dynamical supersymmetry breaking.

More on chiral-nonchiral dual pairs

“…Yet the matter content in Pouliot's dual belongs to a manifestly chiral representation. Similar chiral-nonchiral dichotomies persist in generalizations of the SO(7) model to SO (8) and SO(10) theories with one spinor and N f vectors [17][18][19]. These models possess multiple flat directions which connect them to many other dual pairs.…”

“…More specifically, we construct and analyze duals to SO(7), SO (8) and SO(9) models with N f vectors and either one or two spinors. We must note that all the results which we present here can be derived starting from the Pouliot-Strassler SO(10) theory [18]. So none of the 1 As we do not consider global gauge theory properties in this article, we do not distinguish between SO(N c ) and its covering group Spin(N c ).…”

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“…One possibility is to add many 10's (H i for i = 1, · · · , N f ). Then the theory (without superpotential terms) is expected to flow to a nontrivial conformal fixed point for 7 ≤ N f ≤ 21 [16]. 10 The β function for the gauge coupling α = g 2 /4π is given by…”

Spectroscopy of gauge theories based on exceptional Lie groups

“…In [52], Cho studied in detail the flat directions of the E 6 self-dual model of [48,49,50]. He considered the model along the electric Spin(8) flat direction, and found an invariant d ′′ of the E 6 dual theory with the quantum numbers ( , 5/2) under the global symmetry SU(4) ×U(1) R .…”

“…In [52], Cho studied in detail the flat directions of the E 7 self-dual model of [48,50] and found some problems in matching invariants. As for E 6 with 6 flavors, we find that invariants had been missed; while some of the new invariants solve the problems mentioned in [52], others cause new problems.…”