Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
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6076 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{9}$ | 0.6942 | 0.8917 | 0.7785 | [M:[1.0523, 0.8755, 1.1245, 0.8032, 1.1968, 0.731, 0.7871, 0.8032, 0.8755], q:[0.51, 0.4377], qb:[0.3655, 0.759], phi:[0.4819]] | [M:[[-38], [14], [-14], [-10], [10], [-34], [40], [-10], [14]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{9}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{9}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}M_{9}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{9}$, ${ }M_{8}M_{9}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{9}$, ${ }M_{9}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{9}$, ${ }\phi_{1}^{4}$ | ${}$ | -3 | t^2.193 + t^2.361 + 2*t^2.41 + 2*t^2.626 + t^2.892 + t^3.157 + t^3.856 + 2*t^4.072 + t^4.289 + t^4.386 + t^4.506 + t^4.554 + 2*t^4.603 + t^4.722 + 2*t^4.771 + 5*t^4.819 + 2*t^4.988 + 4*t^5.036 + t^5.085 + 4*t^5.253 + 2*t^5.301 + t^5.35 + 3*t^5.518 + t^5.567 + t^5.783 - 3*t^6. + 2*t^6.049 - 2*t^6.217 + 3*t^6.265 + t^6.314 + t^6.433 + 5*t^6.482 + t^6.579 + t^6.65 + 5*t^6.699 + 2*t^6.796 + t^6.867 + 4*t^6.915 + 2*t^6.964 + 5*t^7.012 + t^7.084 + 4*t^7.132 + 3*t^7.181 + 7*t^7.229 + t^7.278 + 2*t^7.349 + 4*t^7.397 + 7*t^7.446 + 2*t^7.494 + t^7.543 + 3*t^7.614 + 5*t^7.663 + 6*t^7.711 + t^7.76 + 4*t^7.879 + 5*t^7.928 + 2*t^7.976 - t^8.096 + 5*t^8.144 - 3*t^8.193 + 2*t^8.241 - 2*t^8.361 - 6*t^8.41 + 4*t^8.458 + t^8.507 - 10*t^8.626 + 8*t^8.675 + t^8.723 + t^8.772 + 2*t^8.795 - 3*t^8.843 + 6*t^8.892 + 2*t^8.94 + 2*t^8.989 - t^4.446/y - t^6.639/y - t^6.807/y - t^6.856/y - t^7.072/y + t^7.289/y - t^7.337/y + (2*t^7.554)/y + t^7.603/y + (2*t^7.771)/y + (4*t^7.819)/y + (2*t^7.988)/y + (5*t^8.036)/y + (2*t^8.085)/y + (3*t^8.253)/y + (2*t^8.301)/y + t^8.35/y + (3*t^8.518)/y + (2*t^8.567)/y + (2*t^8.783)/y - t^8.832/y - t^4.446*y - t^6.639*y - t^6.807*y - t^6.856*y - t^7.072*y + t^7.289*y - t^7.337*y + 2*t^7.554*y + t^7.603*y + 2*t^7.771*y + 4*t^7.819*y + 2*t^7.988*y + 5*t^8.036*y + 2*t^8.085*y + 3*t^8.253*y + 2*t^8.301*y + t^8.35*y + 3*t^8.518*y + 2*t^8.567*y + 2*t^8.783*y - t^8.832*y | t^2.193/g1^34 + g1^40*t^2.361 + (2*t^2.41)/g1^10 + 2*g1^14*t^2.626 + t^2.892/g1^12 + t^3.157/g1^38 + t^3.856/g1^16 + 2*g1^8*t^4.072 + g1^32*t^4.289 + t^4.386/g1^68 + g1^56*t^4.506 + g1^6*t^4.554 + (2*t^4.603)/g1^44 + g1^80*t^4.722 + 2*g1^30*t^4.771 + (5*t^4.819)/g1^20 + 2*g1^54*t^4.988 + 4*g1^4*t^5.036 + t^5.085/g1^46 + 4*g1^28*t^5.253 + (2*t^5.301)/g1^22 + t^5.35/g1^72 + 3*g1^2*t^5.518 + t^5.567/g1^48 + t^5.783/g1^24 - 3*t^6. + (2*t^6.049)/g1^50 - 2*g1^24*t^6.217 + (3*t^6.265)/g1^26 + t^6.314/g1^76 + g1^48*t^6.433 + (5*t^6.482)/g1^2 + t^6.579/g1^102 + g1^72*t^6.65 + 5*g1^22*t^6.699 + (2*t^6.796)/g1^78 + g1^96*t^6.867 + 4*g1^46*t^6.915 + (2*t^6.964)/g1^4 + (5*t^7.012)/g1^54 + g1^120*t^7.084 + 4*g1^70*t^7.132 + 3*g1^20*t^7.181 + (7*t^7.229)/g1^30 + t^7.278/g1^80 + 2*g1^94*t^7.349 + 4*g1^44*t^7.397 + (7*t^7.446)/g1^6 + (2*t^7.494)/g1^56 + t^7.543/g1^106 + 3*g1^68*t^7.614 + 5*g1^18*t^7.663 + (6*t^7.711)/g1^32 + t^7.76/g1^82 + 4*g1^42*t^7.879 + (5*t^7.928)/g1^8 + (2*t^7.976)/g1^58 - g1^66*t^8.096 + 5*g1^16*t^8.144 - (3*t^8.193)/g1^34 + (2*t^8.241)/g1^84 - 2*g1^40*t^8.361 - (6*t^8.41)/g1^10 + (4*t^8.458)/g1^60 + t^8.507/g1^110 - 10*g1^14*t^8.626 + (8*t^8.675)/g1^36 + t^8.723/g1^86 + t^8.772/g1^136 + 2*g1^88*t^8.795 - 3*g1^38*t^8.843 + (6*t^8.892)/g1^12 + (2*t^8.94)/g1^62 + (2*t^8.989)/g1^112 - t^4.446/(g1^6*y) - t^6.639/(g1^40*y) - (g1^34*t^6.807)/y - t^6.856/(g1^16*y) - (g1^8*t^7.072)/y + (g1^32*t^7.289)/y - t^7.337/(g1^18*y) + (2*g1^6*t^7.554)/y + t^7.603/(g1^44*y) + (2*g1^30*t^7.771)/y + (4*t^7.819)/(g1^20*y) + (2*g1^54*t^7.988)/y + (5*g1^4*t^8.036)/y + (2*t^8.085)/(g1^46*y) + (3*g1^28*t^8.253)/y + (2*t^8.301)/(g1^22*y) + t^8.35/(g1^72*y) + (3*g1^2*t^8.518)/y + (2*t^8.567)/(g1^48*y) + (2*t^8.783)/(g1^24*y) - t^8.832/(g1^74*y) - (t^4.446*y)/g1^6 - (t^6.639*y)/g1^40 - g1^34*t^6.807*y - (t^6.856*y)/g1^16 - g1^8*t^7.072*y + g1^32*t^7.289*y - (t^7.337*y)/g1^18 + 2*g1^6*t^7.554*y + (t^7.603*y)/g1^44 + 2*g1^30*t^7.771*y + (4*t^7.819*y)/g1^20 + 2*g1^54*t^7.988*y + 5*g1^4*t^8.036*y + (2*t^8.085*y)/g1^46 + 3*g1^28*t^8.253*y + (2*t^8.301*y)/g1^22 + (t^8.35*y)/g1^72 + 3*g1^2*t^8.518*y + (2*t^8.567*y)/g1^48 + (2*t^8.783*y)/g1^24 - (t^8.832*y)/g1^74 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
4561 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6832 | 0.8732 | 0.7824 | [M:[1.0397, 0.8801, 1.1199, 0.7999, 1.2001, 0.7197, 0.8003, 0.7999], q:[0.5203, 0.4401], qb:[0.3599, 0.76], phi:[0.4799]] | t^2.159 + 2*t^2.4 + t^2.401 + t^2.64 + t^2.88 + t^3.119 + t^3.36 + t^3.84 + 2*t^4.08 + t^4.318 + t^4.321 + 2*t^4.559 + t^4.56 + t^4.561 + 4*t^4.799 + 2*t^4.801 + t^4.802 + t^5.039 + 2*t^5.04 + t^5.041 + t^5.278 + 2*t^5.279 + 2*t^5.281 + 2*t^5.519 + 2*t^5.52 + 2*t^5.759 + t^5.761 + 2*t^5.999 - 2*t^6. - t^4.44/y - t^4.44*y | detail |