Higher Derivative Gauge theory in $d=6$ and the $\mathbb{C}\mathbb{P}^{(N_f-1)}$ NLSM
Hrachya Khachatryan
hep-th cond-mat.str-el

=1



















positioning,arrows
decorations.pathmorphing,calc
decorations.markings





























 
 
shapes
backgrounds, arrows,calc,shapes,decorations.pathreplacing, decorations.markings, automata,positioning







 



 
 
 
[2]#2@th#1∙






    partial ellipse/.style args=#1:#2:#3
        insert path=+ (#1:#3) arc (#1:#2:#3)
 
  

    wave amplitude/.initial=0.07cm,
    wave count/.initial=7,
    mirror semicircle/.is if=mirrorsemicircle,
    mirror semicircle=false,
    wavy semicircle/.style=
        to path=
            let 1 = (),
            2 = (),
            1 = veclen(2-1,2-1),
            2 = atan2(2-1,2-1)) in
            plot [
                smooth,
                samples=(/tikz/wave count+0.5)*8+1, 
                domain=0:1,
                shift=((1)!0.5!(2))
            ] ( 
                (*180-2 + 180 + 1 -1 * 90
            : 
                (
                    1/2+/tikz/wave amplitude * 
                    sin(
                        * 360 * (/tikz/wave count + 0.5
                    )
                )
            )
         () 



complete sinesinitial

    initial[
        width=+0pt,
        next state=sine,
        persistent precomputation=
            / int(/)
            
        ] 
    sine[width=]
        0.250.5
        0.25-0.5
        0.25-0.5
        0.250.5

    final




 
    fermion/.style=thick, draw=mygreen, postaction=decorate, decoration=markings, mark=at position .5 with [mygreen]triangle 45 ,
       scalar/.style=thick, draw=blue, postaction=decorate, decoration=markings, mark=at position .43 with [blue]triangle 45 ,
          scalarr/.style=thick, draw=blue, postaction=decorate, decoration=markings, mark=at position .56 with [blue]triangle 45,
       photon/.style=decorate, draw=black,thick,
        decoration=complete sines,amplitude=5pt, segment length=10pt,
         photon1/.style=decorate, draw=black,thick,
        decoration=complete sines,amplitude=4pt, segment length=7pt,
        photon2/.style=decorate, draw=black,thick,
        decoration=complete sines,amplitude=2.5pt, segment length=7pt,
        photon3/.style=decorate, draw=black,thick,
        decoration=complete sines,amplitude=2.5pt, segment length=6pt,
        photon0/.style=decorate, draw=black,thick,
        decoration=complete sines,amplitude=5pt, segment length=7pt,
         photon01/.style=decorate, draw=black,thick,
        decoration=complete sines,amplitude=3pt, segment length=5pt
      


/pgf/decoration/.cd,
    number of sines/.initial=10,
    angle step/.initial=20,

complete sinessinitial

    initial[
        width=+0pt,
        next state=move,
        persistent precomputation=
            /pgf/decoration/angle step
            =
            =
            
                (//pgf/decoration/number of sines)/360*
        ] 
    move[width=+, next state=draw]
        
    
    draw[width=+, switch if less than=1.25*to final, 
        persistent postcomputation=
        mod(+, 360)
        =
    ]
        +
        =
        =
        by2
        0pt
    
    final
        >0pt
        







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