Can large Nc equivalence between supersymmetric Yang-Mills theory and its orbifold projections be valid?

Abstract

Necessary and sufficient conditions for large Nc equivalence between parent and daughter theories, for a wide class of orbifold projections of U(Nc) gauge theories, are just the natural requirements that the discrete symmetry used to define the projection not be spontaneously broken in the parent theory, and the discrete symmetry permuting equivalent gauge group factors not be spontaneously broken in the daughter theory. In this paper, we discuss the application of this result to Z_k projections of N=1 supersymmetric Yang-Mills theory in four dimensions, as well as various multi-flavor generalizations. Z_k projections with k > 2 yielding chiral gauge theories violate the symmetry realization conditions needed for large Nc equivalence, due to the spontaneous symmetry breaking of discrete chiral symmetry in the parent super-Yang-Mills theory. But for Z_2 projections, we show that previous assertions of large Nc inequivalence, in infinite volume, between the parent and daughter theories were based on incorrect mappings of vacuum energies, theta angles, or connected correlators between the two theories. With the correct identifications, there is no sign of any inconsistency. A subtle but essential feature of the connection between parent and daughter theories involves multi-valuedness in the mapping of theta parameters from parent to daughter.

arXiv comment21 pages, added discussion of anomaly matching in parent and daughter, and differences between N=4 and N=1 SYM cases

References in corpus (17)

• Branes And The Dynamics Of QCD
• Domain Walls in Strongly Coupled Theories
• Large N limit of orbifold field theories
• Perturbative Search for Fixed Lines in Large N Gauge Theories
• A Non-supersymmetric Large N CFT from Type 0 String Theory
• Duality of Non-Supersymmetric Large N Gauge Theories
• Necessary and sufficient conditions for non-perturbative equivalences of large N orbifold gauge theories
• Effective potential in non-supersymmetric SU(N) x SU(N) gauge theory and interactions of type 0 D3-branes
• Non-perturbative equivalences among large N gauge theories with adjoint and bifundamental matter fields
• Closed String Tachyons, AdS/CFT, and Large N QCD
• Tachyon Stabilization in the AdS/CFT Correspondence
• On Non-Supersymmetric CFT in Four Dimensions
• On Methods for Extracting Exact Non-perturbative Results in Non-supersymmetric Gauge Theories
• Comments on Condensates in Non-Supersymmetric Orbifold Field Theories
• Large N Strong Coupling Dynamics in Non-Supersymmetric Orbifold Field Theories
• Nonperturbative Tests of the Parent/Orbifold Correspondence in Supersymmetric Gauge Theories
• Testing Nonperturbative Orbifold Conjecture

Cited by in corpus (33)

• Volume independence in large Nc QCD-like gauge theories
• New Methods in QFT and QCD: From Large-N Orbifold Equivalence to Bions and Resurgence
• (In)validity of large N orientifold equivalence
• Vacuum structure of bifundamental gauge theories at finite topological angles
• Hidden topological angles and Lefschetz thimbles
• Universality of Phases in QCD and QCD-like Theories
• Phase diagrams of SU(N) gauge theories with fermions in various representations
• Orbifold equivalence and the sign problem at finite baryon density
• Introductory lectures to large-N QCD phenomenology and lattice results
• Conformality or confinement (II): One-flavor CFTs and mixed-representation QCD
• On Yang-Mills Theories with Chiral Matter at Strong Coupling
• QCD with one compact spatial dimension
• Phases of $\Nc= \infty$ QCD-like gauge theories on $S^3\times S^1$ and nonperturbative orbifold-orientifold equivalences
• Orbifold equivalence for finite density QCD and effective field theory
• The 't Hooft vertex revisited
• Semiclassics with 't Hooft flux background for QCD with $2$-index quarks
• Alternative Large Nc Schemes and Chiral Dynamics
• Spontaneous Z2 Symmetry Breaking in the Orbifold Daughter of N=1 Super Yang-Mills Theory, Fractional Domain Walls and Vacuum Structure
• Phases of Gauge Theories
• Planar Limit of Orientifold Field Theories and Emergent Center Symmetry
• Universality between vector-like and chiral quiver gauge theories: Anomalies and domain walls
• Semiclassical analysis of the bifundamental QCD on ${\mathbb{R}}^2\times T^2$ with 't Hooft flux
• Non-Perturbative Planar Equivalence and the Absence of Closed String Tachyons
• Small volume expansion of almost supersymmetric large N theories
• More about QCD on compact spaces
• Phases of Thermal N=2 Quiver Gauge Theories
• Graded Hilbert spaces, quantum distillation and connecting SQCD to QCD
• N-dimensional electron in a spherical potential: the large-N limit
• Large N orbifold field theories on the twisted torus
• Emergent Supersymmetry at Large $N$
• Theoretical Developments in SUSY
• Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
• Non-Perturbative Yang-Mills from Supersymmetry and Strings, Or, in the Jungles of Strong Coupling