Johnmacros21forhyper.tex

\newcommand{\soso}{{SOSO}}
\newcommand{\EDr}{{Elizabethan Drama}}
\newcommand{\Tran}{{Transformation}}
\newcommand{\tr}{{transformation}}
\newcommand{\DI}{{ Dirac Irreducible Superspin $\fr{1}{2}$   Massive  Multiplet}}
\newcommand{\MI}{{ Majorana Irreducible Superspin $\fr{1}{2}$   Massive  Multiplet}}
\newcommand{\GI}{{ Gauge Irreducible Superspin $\fr{1}{2}$   Massive  Multiplet}}
\newcommand{\SFG}{{\bf \huge Signs and Factors are Good ABOVE}}
\newcommand{\WOS }{{\bf \huge Work on Signs and Factors}}
\newcommand{\ICDSS}{{Irreducible Chiral Dotted Spinor Superfield}}
\newcommand{\ICUSS}{{Irreducible Chiral Undotted Spinor Superfield}}
\newcommand{\SH}{{\bf \huge START\; HERE}}
\newcommand{\Ma}{{Mathematica}}
\newcommand{\cE}{{\cal E}}
\newcommand{\cO}{{\cal O}}
\newcommand{\cB}{{\cal B}}
\newcommand{\cG}{{\cal G}}
\newcommand{\cK}{{\cal K}}
\newcommand{\cZ}{{\cal Z}}
\newcommand{\cA}{{\cal A}}
\newcommand{\cU}{{\cal U}}
\newcommand{\BGLP}{{Buchbinder, Gates, Linch and Phillips}}
\newcommand{\BGLPpaper}{{Buchbinder, Gates, Linch and Phillips:  `Massive Superspin 1 Multiplet'}}
\newcommand{\HY}{{Hypersymmetry}}
\newcommand{\EP}{{Extraordinary Pseudo - Superfield}}
\newcommand{\FSC}{{Fundamental Supersymmetry Challenge}}

\newcommand{\Ss}{{Supersymmetry}}

\newcommand{\GPS}{{Ghastly Possible Solution}}
\newcommand{\AOP}{{Awful Old Problem}}
\newcommand{\ANP}{{Awful New Problem}}
\newcommand{\HS}{{Hidden Supersymmetry}}
\newcommand{\ECDS}{{Extraordinary Composite Chiral Dotted Superfield}}
\newcommand{\UCSS}{{Undotted Chiral Spinor   Superfield}}
\newcommand{\DCSS}{{  Dotted  Chiral Spinor Superfield}}
\newcommand{\CSS}{{Chiral Scalar Superfield}}
\newcommand{\ONW}{{\bf Ontario New Home Warranties Plan Act}}
\newcommand{\LI}{{Lorentz Invariant}}
\newcommand{\Lid}{ {\bf Liddiard v. Tarion}}
\newcommand{\CP}{\fr{1}{2}  \ovD^2 } 
\newcommand{\CA}{Cybersusy Action} 
\newcommand{\adss}{antichiral dotted spinor superfield} 
\newcommand{\cdss}{chiral dotted spinor superfield} 
\newcommand{\GF}{Goldstone Fermion}
\newcommand{\CE}{Cybersusy Extension of the DASSM}
\newcommand{\YM}{Yang-Mills theory}
\newcommand{\CC}{Complex Conjugate}
\newcommand{\ECS}{Extraordinary Chiral Superfield}
\newcommand{\dN}{\d_{\rm Not\;Free}}
\newcommand{\dF}{\d_{\rm Free}}
\newcommand{\DS}{DASSM}
\newcommand{\OI}{Ordinary Invariant}
\newcommand{\LIP}{Local Integrated Polynomial}
\newcommand{\EMI}{Extraordinary Mass Invariant}
\newcommand{\OMI}{Ordinary Mass Invariant}
\newcommand{\EI}{Extraordinary Invariant}
\newcommand{\wh}{\widehat}
\newcommand{\SL}{$SU(2)_{\rm L}$}
\newcommand{\SR}{$SU(2)_{\rm R}$}
\newcommand{\PB}{BRST Poisson Bracket}
\newcommand{\Einf}{$E_{\infty}$}
\newcommand{\oO}{{\ov O}}
\newcommand{\ovw}{{\ov \omega}}
\newcommand{\ona}{{\ov \na}}
\newcommand{\oha}{$\fr{1}{2}$}
\newcommand{\tha}{$\fr{3}{2}$}
\newcommand{\dps}{dotpseudo}
\newcommand{\bh}{\bf\huge}
\newcommand{\dsp}{dotspinor}
\newcommand{\dB}{\d_{{}_{{}_{\rm BRST}}}}
\newcommand{\dBig}{\d_{{}_{{}_{\rm BRST,\; Big}}}}
\newcommand{\dBlit}{\d_{{}_{{}_{\rm BRST,\; Little}}}}
\newcommand{\dS}{\d_{{}_{{}_{\rm SS}}}}
\newcommand{\SSB}{SUSY breaking}
\newcommand{\GSB}{Gauge Symmetry Breaking from \sg \ to \bsg }
\newcommand{\SSM}{Supersymmetric Standard Model}
\newcommand{\SM}{Standard Model}
\newcommand{\Sps}{Spectral Sequence}
\newcommand{\Cs}{Cybersusy}
\newcommand{\TSY}{D=4, N=2  Supersymmetric Yang Mills Theory}
\newcommand{\FSY}{D=4, N=4  Supersymmetric Yang Mills Theory}
\newcommand{\TD}{D=10  Supersymmetric Yang Mills Theory}
\newcommand{\CS}{Cybersusy}
\newcommand{\sg}{$SU(3) \times SU(2) \times U(1)$}
\newcommand{\sgr}{$SU(3) \times SU(2)$}
\newcommand{\bsg}{$SU(3)  \times U(1)$}
\newcommand{\sbg}{$SU(2)  \times U(1)$}
\newcommand{\gto}{$SU(2)  \times U(1)$}
\newcommand{\LT}{\LaTeX}
\newcommand{\rll}{\rt.\\\lt.}
\newcommand{\cI}{{\cal I}}
\newcommand{\cR}{\cal R}
\newcommand{\cS}{${\cal S}$}
\newcommand{\cL}{\cal L}
\newcommand{\bt}{\begin{tabular}{c}}
\newcommand{\et}{\end{tabular}}
\newcommand{\bint}{\be \int d^4 x \; \lt \{  }
\newcommand{\eint}{    \rt \} \ee } 
\newcommand{\np}{\newpage} 
\newcommand{\DFI}{Diagram and Feynman Integral for } 
\newcommand{\eb}{\ee\be } 
\newcommand{\ebp}{\rt.\ee\be\lt.} 
\newcommand{\bmat}{\lt ( \begin{array} }
\newcommand{\emat}{  \end{array} \rt )} 
\newcommand{\bfh}{\bf {\huge} }
\newcommand{\tu}{{\tilde u}}
\newcommand{\ovW}{{\ov W}}
\newcommand{\tc}{{\tilde c}}
\newcommand{\tit}{{\tilde t}}
\newcommand{\td}{{\tilde d}}
\newcommand{\ts}{{\tilde s}}
\newcommand{\tb}{{\tilde b}}
\newcommand{\ost}{\fr{1}{\sqrt{2}}}
\newcommand{\oH}{{\ov H}}
\newcommand{\oP}{{\ov P}}
\newcommand{\op}{{\ov p}}
\newcommand{\oQ}{{\ov Q}}
\newcommand{\ovQ}{{\ov \Q}}
\newcommand{\oR}{{\ov R}}
\newcommand{\oZ}{{\ov Z}}
\newcommand{\ocL}{{\ov {\cal L}}}
\newcommand{\ocP}{{\ov {\cal P}}}
\newcommand{\ocF}{{\ov {\cal F}}}
\newcommand{\ocS}{{\ov {\cal S}}}
\newcommand{\cH}{{\cal H}}
\newcommand{\cP}{{\cal P}}
\newcommand{\cF}{{\cal F}}
\newcommand{\oB}{{\ov B}}
\newcommand{\cT}{{\cal T}}
\newcommand{\ovV}{{\ov V}}
\newcommand{\ovD}{{\ov D}}
\newcommand{\ovk}{{\ov \k}}
\newcommand{\ovh}{{\ov \h}}
\newcommand{\oN}{{\ov N}}
\newcommand{\oJ}{{\ov J}}
\newcommand{\cd}{{\cdot}}
\newcommand{\oS}{{\ov S}}
\newcommand{\os}{{\ov \s}}
\newcommand{\ocsu}{{\ov \clubsuit}}
\newcommand{\ohsu}{{\ov \heartsuit}}
\newcommand{\odsu}{{\ov \diamondsuit}}
\newcommand{\ossu}{{\ov \spadesuit}}
\newcommand{\csu}{{\clubsuit}}
\newcommand{\hsu}{{\heartsuit}}
\newcommand{\dsu}{{\diamondsuit}}
\newcommand{\ssu}{{\spadesuit}}
\newcommand{\Nc}{ N_{\rm Chiral} }
\newcommand{\oE}{{\ov E}}
\newcommand{\ovF}{{\ov \F}}
\newcommand{\oX}{{\ov X}}
\newcommand{\oU}{{\ov U}}
\newcommand{\ou}{{\ov u}}
\newcommand{\oa}{{\ov a}}
\newcommand{\ovq}{{\ov q}}
\newcommand{\ob}{{\ov b}}
\newcommand{\ow}{{\ov w}}
\newcommand{\oM}{{\ov M}}
\newcommand{\ovv}{{\ov v}}
\newcommand{\ot}{{\ov t}}
\newcommand{\ox}{{\ov x}}
\newcommand{\ovy}{{\ov y}}
\newcommand{\ovY}{{\ov \Psi}}
\newcommand{\oc}{{\ov c}}
\newcommand{\od}{{\ov d}}
\newcommand{\oq}{{\ov \q}}
\newcommand{\oT}{{\ov T}}
\newcommand{\oG}{{\ov \G}}
\newcommand{\ovG}{{\ov G}}
\newcommand{\oK}{{\ov K}}
\newcommand{\ul}{\underline}
\newcommand{\ED}{\end{document}}
\newcommand{\of}{{\ov f}}
\newcommand{\ovf}{{\ov \f}}
\newcommand{\oI}{{\ov I}}
\newcommand{\oY}{{\ov Y}}
\newcommand{\og}{{\ov g}}
\newcommand{\oy}{{\ov \y}}
\newcommand{\tif}{{\tilde f}}
\newcommand{\hf}{{\hat f}}
\newcommand{\db}{{\dot \b}}
\newcommand{\ove}{{\ov e}}
\newcommand{\oh}{{\ov h}}
\newcommand{\om}{{\ov m}}
\newcommand{\ok}{{\ov k}}
\newcommand{\oC}{{\ov C}}
\newcommand{\oL}{{\ov L}}
\newcommand{\ol}{{\ov \l}}
\newcommand{\ovc}{{\ov \c}}
\newcommand{\oF}{{\ov F}}
\newcommand{\A}{{\ov A}}
\newcommand{\B}{{\ov B}}
\newcommand{\cD}{{\cal D}}
\newcommand{\hts}{\heartsuit}
\newcommand{\cl}{\clubsuit}
\newcommand{\di}{\diamondsuit}
\newcommand{\lb}{\left \{}
\newcommand{\reel}{\rt. \ee \be \lt.}
\newcommand{\rb}{\right \}}
\newcommand{\ls}{\left [}
\newcommand{\rs}{\right ]}
\newcommand{\lp}{\left (}
\newcommand{\rp}{\right )}
\newcommand{\bl}{\bigl}
\newcommand{\br}{\bigr} 
\newcommand{\Br}{\Bigr}
\newcommand{\Bl}{\Bigl}
\renewcommand{\a}{\alpha}	
%\renewcommand{\b}{\beta}
\newcommand{\g}{\gamma}
%\renewcommand{\d}{\delta}
\newcommand{\e}{\epsilon}
\newcommand{\ve}{\varepsilon}
\newcommand{\z}{\zeta}
\newcommand{\h}{\eta}
\newcommand{\q}{\theta}
\renewcommand{\k}{\kappa}
\newcommand{\lam}{\lambda}
\newcommand{\m}{\mu}
\newcommand{\n}{\nu}	
\newcommand{\x}{\xi}
\newcommand{\p}{\pi}	
\renewcommand{\r}{\rho}
\newcommand{\s}{\sigma}
\newcommand{\bo}{\stackrel{\bullet}}
\renewcommand{\t}{\tau}
\renewcommand{\u}{\upsilon}
\newcommand{\f}{\phi}
%\renewcommand{\c}{\chi}
\newcommand{\y}{\psi}
\newcommand{\w}{\omega}
\newcommand{\G}{\Gamma}
\newcommand{\D}{\Delta}
\newcommand{\Q}{\Theta}	
\newcommand{\Lam}{\Lambda}
\newcommand{\X}{\Xi}
\renewcommand{\P}{\Pi}	
\renewcommand{\S}{\Sigma}
\newcommand{\U}{\Upsilon}
\newcommand{\F}{\Phi}	
\newcommand{\Y}{\Psi} 
\newcommand{\C}{\Chi}
\newcommand{\W}{\Omega}
\newcommand{\la}{\label}
\newcommand{\ci}{\cite}
\newcommand{\re}{\ref} 
\newcommand{\ti}{\tilde}
\newcommand{\se}{\section}
\newcommand{\sse}{\subsection}
\newcommand{\ssse}{\subsubsection}
\newcommand{\nn}{\nonumber}
\newcommand{\ds}{\documentstyle}	
\newcommand{\fr}{\frac}
\newcommand{\bm}{\bibitem}
\newcommand{\na}{\nabla}
\newcommand{\pa}{\partial}
\newcommand{\ov}{\overline}
\newcommand{\be}{\begin{equation}}
\newcommand{\ee}{\end{equation}}
\newcommand{\ba}{\begin{array}} 
\newcommand{\ea}{\end{array}}
\newcommand{\bea}{\begin{eqnarray}}
\newcommand{\eea}{\end{eqnarray}}
\newcommand{\ra}{\rightarrow}
\newcommand{\Ra}{\Rightarrow}
\newcommand{\lra}{\longrightarrow}
\newcommand{\lla}{\longleftarrow}
\newcommand{\Lra}{\Leftrightarrow}
\newcommand{\lt}{\left}
\newcommand{\rt}{\right}
\newcommand{\ap}{\alpha^\prime}
\newcommand{\bp}{\beta^\prime} 
\newcommand{\Tr}{{\rm	Tr}	}
\newcommand{\Tdr}{{\rm	Tdr}	}
\newcommand{\TDr}{{\rm	TDr}	}
\newcommand{\Det}{{\rm	Det}	}
\newcommand{\ben}{\begin{enumerate}}
\newcommand{\een}{\end{enumerate}}
\newcommand{\bitem}{\begin{itemize}}
\newcommand{\eitem}{\end{itemize}}

1506.02366.extracted_bib
\newcommand{\na{\nabla \newcommand{\pa{\partial \newcommand{\ov{\overline \newcommand{\be{\begin{equation \newcommand{\ee{