Why Auxiliary Fields Matter: The Strange Case of the 4D, N = 1 Supersymmetric QCD Effective Action

Abstract

Within a four dimensional manifestly N = 1 supersymmetric action, we show that Wess-Zumino-Novikov-Witten (WZNW) terms can be embedded in an extraordinarily simple manner into a purely chiral superaction. In order to achieve this result it is necessary to assign spin-0 and spin-1/2 degrees of freedom both to chiral superfields and as well to non-minimal scalar multiplets. We propose a new formulation for the effective low-energy action of 4D, N = 1 supersymmetric QCD that is consistent with holomorphy through fourth order in the pion superfield. After reduction to a 2D, N = 2 theory we find a new class of manifestly supersymmetric non-linear sigma models with torsion.

14 pages, UMDEPP 96-19

References in corpus (2)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD

Cited by in corpus (43)

• Projective Superspace as a Double--Punctured Harmonic Superspace
• Modified Supergravity and Early Universe: the Meeting Point of Cosmology and High-Energy Physics
• The CNM-Hypermultiplet Nexus
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Born-Infeld-Goldstone superfield actions for gauge-fixed D-5- and D-3-branes in 6d
• Superstring-inspired supergravity as the universal source of inflation and quintessence
• A supersymmetric Skyrme model
• Why Auxiliary Fields Matter: The Strange Case of the 4D, N = 1 Supersymmetric QCD Effective Action (II)
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• 6D Supersymmetry, Projective Superspace and 4D, N=1 Superfields
• Chaotic inflation in F(R) supergravity
• 6D Supersymmetric Nonlinear Sigma-Models in 4D, N=1 Superspace
• Scalar potential in F(R) supergravity
• Ghostbusters in higher derivative supersymmetric theories: who is afraid of propagating auxiliary fields?
• On quantum properties of the four-dimensional generic chiral superfield model
• Cosmological properties of a generic (\cal R)^2-supergravity
• Non-minimal scalar multiplets, supersymmetry breaking and dualities
• The nonminimal scalar multiplet: duality, sigma-model, beta-function
• Higher derivative three-form gauge theories and their supersymmetric extension
• The Real Anatomy of Complex Linear Superfields
• The Superspace WZNW Action for 4D, N=1 Supersymmetric QCD
• Wess-Zumino Terms in Supersymmetric Gauge Theories
• Supersymmetry Breaking in Spatially Modulated Vacua
• Quantization of the complex linear superfield
• A Note on Supersymmetric WZW term in Four Dimensions
• N = 1 Supersymmetric Extension of the QCD Effective Action
• Quantization of N=1 chiral/nonminimal (CNM) scalar multiplets and supersymmetric Yang-Mills theories
• Adinkra `Color' Confinement In Exemplary Off-Shell Constructions Of 4D, $\mathcal{N}$ = 2 Supersymmetry Representations
• Geometry and beta-functions for N=2 matter models in two dimensions
• Supersymmetry breaking and ghost Goldstino in modulated vacua
• Supersymmetric galileons and auxiliary fields in 2+1 dimensions
• New Actions for Modified Gravity and Supergravity
• Complex Linear Effective Theory and Supersymmetry Breaking Vacua
• Notes on the Quantization of the Complex Linear Superfield
• Solitonic ground state in supersymmetric theory in background
• Ghostbusters in $f(R)$ supergravity
• Partial $\mathcal{N}=2$ Supersymmetry Breaking and Deformed Hypermultiplets
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• On Aspects and Implications of the New Covariant 4D, N = 1 Green-Schwarz Sigma-model Action
• Higher Derivative Terms in Three Dimensional Supersymmetric Theories
• What If Dirac Pionini Existed in a Purely Chiral Superfield Formulation?
• Vacua by Derivative Corrections in $\mathcal{N}=1$ Supergravity with Matter Multiplets