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$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =





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.

#TheorySuperpotentialCentral charge $a$Central charge $c$Ratio $a/c$Matter field: $R$-chargeU(1) part of $F_{UV}$Rank of $F_{UV}$Rational
58415 SU3adj1nf2 ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ 1.4217 1.6321 0.871 [X:[1.2767], M:[0.9722, 0.836, 1.164], q:[0.5576, 0.3657], qb:[0.4703, 0.4366], phi:[0.3616]] [X:[[0, 0, 4]], M:[[-1, 1, -11], [1, -1, 1], [-1, 1, -1]], q:[[-1, -1, 11], [-1, -1, 1]], qb:[[2, 0, 0], [0, 2, 0]], phi:[[0, 0, -2]]] 3
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ -2 t^2.41 + t^2.51 + t^2.92 + t^2.98 + t^3.25 + t^3.49 + t^3.59 + t^3.83 + t^4.07 + t^4.17 + t^4.58 + t^4.68 + t^4.81 + t^4.92 + t^4.95 + t^5.02 + t^5.12 + t^5.15 + t^5.22 + t^5.25 + t^5.32 + t^5.39 + t^5.49 + t^5.53 + t^5.66 + t^5.76 + t^5.83 + t^5.9 + t^5.97 - 2*t^6. + t^6.04 + t^6.17 + t^6.2 + 2*t^6.24 + t^6.3 + t^6.34 + t^6.41 + 2*t^6.47 + t^6.51 + t^6.55 + 2*t^6.58 + t^6.61 + t^6.68 + 2*t^6.75 + t^6.81 + t^6.85 + 2*t^6.98 + 2*t^7.08 + t^7.12 + t^7.15 + t^7.18 + t^7.19 + t^7.22 + t^7.29 + 2*t^7.32 + t^7.39 + 2*t^7.42 + 2*t^7.49 + 2*t^7.52 + 3*t^7.56 + t^7.62 + 4*t^7.66 + t^7.7 + t^7.72 + t^7.73 + 2*t^7.76 + t^7.8 + t^7.83 + t^7.9 + 3*t^7.93 - t^7.97 + t^8. + t^8.04 + 2*t^8.07 + t^8.1 + t^8.13 + 2*t^8.17 + t^8.2 + t^8.21 - t^8.23 + 3*t^8.24 + 2*t^8.27 + t^8.31 + t^8.34 + 2*t^8.37 - 2*t^8.41 + t^8.44 + 2*t^8.47 - t^8.51 + t^8.58 + t^8.61 + 4*t^8.64 + t^8.71 + 5*t^8.75 + t^8.78 + t^8.81 + t^8.82 + 3*t^8.85 + 2*t^8.88 - 2*t^8.92 + 2*t^8.95 - t^8.98 - t^4.08/y - t^5.17/y - t^6.49/y - t^6.59/y - t^7./y - t^7.07/y - t^7.34/y - t^7.58/y - t^7.68/y + t^7.92/y - t^8.09/y - t^8.15/y + t^8.32/y + t^8.39/y + t^8.49/y + t^8.9/y - t^4.08*y - t^5.17*y - t^6.49*y - t^6.59*y - t^7.*y - t^7.07*y - t^7.34*y - t^7.58*y - t^7.68*y + t^7.92*y - t^8.09*y - t^8.15*y + t^8.32*y + t^8.39*y + t^8.49*y + t^8.9*y (g2*g3*t^2.41)/g1 + (g1*g3*t^2.51)/g2 + (g2*t^2.92)/(g1*g3^11) + (g2*g3^11*t^2.98)/g1 + t^3.25/g3^6 + (g2*t^3.49)/(g1*g3) + (g1*t^3.59)/(g2*g3) + g3^4*t^3.83 + (g2*g3^9*t^4.07)/g1 + (g1*g3^9*t^4.17)/g2 + (g2*t^4.58)/(g1*g3^3) + (g1*t^4.68)/(g2*g3^3) + (g2^2*g3^2*t^4.81)/g1^2 + g3^2*t^4.92 + (g3^11*t^4.95)/(g1^3*g2^3) + (g1^2*g3^2*t^5.02)/g2^2 + (g1^2*g2^4*t^5.12)/g3^2 + (g2*g3^7*t^5.15)/g1 + (g1^4*g2^2*t^5.22)/g3^2 + (g1*g3^7*t^5.25)/g2 + (g2^2*t^5.32)/(g1^2*g3^10) + (g2^2*g3^12*t^5.39)/g1^2 + g3^12*t^5.49 + (g3^21*t^5.53)/(g1^3*g2^3) + (g2*t^5.66)/(g1*g3^5) + (g1*t^5.76)/(g2*g3^5) + (g2^2*t^5.83)/(g1^2*g3^22) + (g2^2*t^5.9)/g1^2 + (g2^2*g3^22*t^5.97)/g1^2 - 2*t^6. + (g3^9*t^6.04)/(g1^3*g2^3) + (g2*t^6.17)/(g1*g3^17) + (g1^2*g2^4*t^6.2)/g3^4 + (2*g2*g3^5*t^6.24)/g1 + (g1^4*g2^2*t^6.3)/g3^4 + (g1*g3^5*t^6.34)/g2 + (g2^2*t^6.41)/(g1^2*g3^12) + (2*g2^2*g3^10*t^6.47)/g1^2 + t^6.51/g3^12 + t^6.55/(g1^3*g2^3*g3^3) + 2*g3^10*t^6.58 + (g3^19*t^6.61)/(g1^3*g2^3) + (g1^2*g3^10*t^6.68)/g2^2 + (2*g2*t^6.75)/(g1*g3^7) + (g2*g3^15*t^6.81)/g1 + (g1*t^6.85)/(g2*g3^7) + (2*g2^2*t^6.98)/(g1^2*g3^2) - (g1^3*g2^3*t^7.05)/g3^11 + (g2^2*g3^20*t^7.05)/g1^2 + (2*t^7.08)/g3^2 + (g3^7*t^7.12)/(g1^3*g2^3) + g3^20*t^7.15 + (g2^6*t^7.18)/g3^6 + (g1^2*t^7.19)/(g2^2*g3^2) + (g2^3*g3^3*t^7.22)/g1^3 + (g1^2*g2^4*t^7.29)/g3^6 + (2*g2*g3^3*t^7.32)/g1 + (g1^4*g2^2*t^7.39)/g3^6 + (2*g1*g3^3*t^7.42)/g2 + (g2^2*t^7.49)/(g1^2*g3^14) + (g1^6*t^7.49)/g3^6 + (g1*g2^5*t^7.52)/g3 + (g1^3*g3^3*t^7.52)/g2^3 + (3*g2^2*g3^8*t^7.56)/g1^2 + (g1^3*g2^3*t^7.62)/g3 + 4*g3^8*t^7.66 + (g3^17*t^7.7)/(g1^3*g2^3) + (g1^5*g2*t^7.72)/g3 + (g2^3*t^7.73)/(g1^3*g3^9) + (2*g1^2*g3^8*t^7.76)/g2^2 + (g2^3*g3^13*t^7.8)/g1^3 + (g2*t^7.83)/(g1*g3^9) + (g2*g3^13*t^7.9)/g1 + (g1*t^7.93)/(g2*g3^9) + (2*g3^22*t^7.93)/(g1^4*g2^2) - t^7.97/(g1^2*g2^4) + (g1*g3^13*t^8.)/g2 + (g3^22*t^8.04)/(g1^2*g2^4) + (2*g2^2*t^8.07)/(g1^2*g3^4) + g1*g2^5*g3^9*t^8.1 - (g1^3*g2^3*t^8.13)/g3^13 + (2*g2^2*g3^18*t^8.13)/g1^2 + (2*t^8.17)/g3^4 + g1^3*g2^3*g3^9*t^8.2 + (g3^5*t^8.21)/(g1^3*g2^3) - (g1^5*g2*t^8.23)/g3^13 + (g2^3*t^8.24)/(g1^3*g3^21) + 2*g3^18*t^8.24 + (g1^2*t^8.27)/(g2^2*g3^4) + (g3^27*t^8.27)/(g1^3*g2^3) + (g2^3*g3*t^8.31)/g1^3 + (g1^2*g3^18*t^8.34)/g2^2 + (g1^2*g2^4*t^8.37)/g3^8 + (g2^3*g3^23*t^8.37)/g1^3 - (2*g2*g3*t^8.41)/g1 + (g3^10*t^8.44)/(g1^4*g2^2) + (g1^4*g2^2*t^8.47)/g3^8 + (g2*g3^23*t^8.47)/g1 - (2*g1*g3*t^8.51)/g2 + (g3^32*t^8.51)/(g1^4*g2^2) + (g2^2*t^8.58)/(g1^2*g3^16) + (g1*g2^5*t^8.61)/g3^3 + (4*g2^2*g3^6*t^8.64)/g1^2 + (g1^3*g2^3*t^8.71)/g3^3 + (g2^3*t^8.75)/(g1^3*g3^33) + 4*g3^6*t^8.75 + (g3^15*t^8.78)/(g1^3*g2^3) + (g1^5*g2*t^8.81)/g3^3 + (g2^3*t^8.82)/(g1^3*g3^11) + (3*g1^2*g3^6*t^8.85)/g2^2 + (2*g2^3*g3^11*t^8.88)/g1^3 - (2*g2*t^8.92)/(g1*g3^11) + t^8.95/(g1^4*g2^2*g3^2) + (g2^3*g3^33*t^8.95)/g1^3 - (g2*g3^11*t^8.98)/g1 - t^4.08/(g3^2*y) - t^5.17/(g3^4*y) - (g2*t^6.49)/(g1*g3*y) - (g1*t^6.59)/(g2*g3*y) - (g2*t^7.)/(g1*g3^13*y) - (g2*g3^9*t^7.07)/(g1*y) - t^7.34/(g3^8*y) - (g2*t^7.58)/(g1*g3^3*y) - (g1*t^7.68)/(g2*g3^3*y) + (g3^2*t^7.92)/y - (g2*t^8.09)/(g1*g3^15*y) - (g2*g3^7*t^8.15)/(g1*y) + (g2^2*t^8.32)/(g1^2*g3^10*y) + (g2^2*g3^12*t^8.39)/(g1^2*y) + (g3^12*t^8.49)/y + (g2^2*t^8.9)/(g1^2*y) - (t^4.08*y)/g3^2 - (t^5.17*y)/g3^4 - (g2*t^6.49*y)/(g1*g3) - (g1*t^6.59*y)/(g2*g3) - (g2*t^7.*y)/(g1*g3^13) - (g2*g3^9*t^7.07*y)/g1 - (t^7.34*y)/g3^8 - (g2*t^7.58*y)/(g1*g3^3) - (g1*t^7.68*y)/(g2*g3^3) + g3^2*t^7.92*y - (g2*t^8.09*y)/(g1*g3^15) - (g2*g3^7*t^8.15*y)/g1 + (g2^2*t^8.32*y)/(g1^2*g3^10) + (g2^2*g3^12*t^8.39*y)/g1^2 + g3^12*t^8.49*y + (g2^2*t^8.9*y)/g1^2


Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#SuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
61112 ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ 1.4209 1.6303 0.8716 [X:[1.2768], M:[0.9889, 0.8192, 1.1808], q:[0.5578, 0.3659], qb:[0.4533, 0.4533], phi:[0.3616]] 2*t^2.46 + t^2.97 + t^3.03 + t^3.25 + 2*t^3.54 + t^3.83 + 2*t^4.12 + 2*t^4.63 + 3*t^4.92 + t^4.95 + 2*t^5.16 + 2*t^5.2 + t^5.42 + 2*t^5.49 + t^5.53 + 2*t^5.71 + t^5.93 - t^6. - t^4.08/y - t^5.17/y - t^4.08*y - t^5.17*y detail
61102 ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ 1.4242 1.6337 0.8717 [X:[1.2941], M:[0.9412, 0.8235, 1.1765, 0.9412], q:[0.5947, 0.3595], qb:[0.464, 0.464], phi:[0.353]] 2*t^2.47 + 2*t^2.82 + t^3.18 + 2*t^3.53 + t^3.88 + 2*t^4.24 + 2*t^4.59 + 3*t^4.94 + t^5. + 2*t^5.24 + 5*t^5.29 + 5*t^5.65 + t^5.71 - t^4.06/y - t^5.12/y - t^4.06*y - t^5.12*y detail


Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational


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


Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
57361 SU3adj1nf2 ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ 1.4803 1.6874 0.8773 [X:[1.3615], M:[0.9228, 0.6736, 0.9213], q:[0.5197, 0.5212], qb:[0.5576, 0.486], phi:[0.3193]] t^2.021 + t^2.764 + t^2.768 + t^2.873 + t^3.017 + t^3.021 + t^3.975 + t^4.042 + t^4.084 + t^4.19 + t^4.194 + t^4.785 + t^4.789 + t^4.894 + t^4.933 + t^4.937 + t^5.038 + t^5.042 + t^5.147 + t^5.152 + t^5.528 + t^5.532 + t^5.537 + t^5.546 + t^5.637 + t^5.639 + t^5.642 + t^5.644 + t^5.747 + t^5.761 + t^5.781 + t^5.785 + t^5.79 + t^5.89 + t^5.895 - 4*t^6. - t^3.958/y - t^4.916/y - t^5.979/y - t^3.958*y - t^4.916*y - t^5.979*y detail