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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
57463 SU3adj1nf2 ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ 1.4634 1.6644 0.8792 [X:[1.3515], M:[0.6749], q:[0.4769, 0.4786], qb:[0.5223, 0.5767], phi:[0.3243]] [X:[[0, 6]], M:[[-1, 14]], q:[[-1, 22], [1, 0]], qb:[[0, -11], [0, 7]], phi:[[0, -3]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ ${}$ -2 t^2.02 + t^2.92 + 2*t^3. + t^3.16 + t^3.17 + t^3.97 + 2*t^4.05 + t^4.13 + t^4.14 + 2*t^4.94 + t^4.95 + t^5.02 + t^5.03 + 2*t^5.11 + 2*t^5.19 + 2*t^5.27 + t^5.84 + 2*t^5.92 + t^5.99 - 2*t^6. + t^6.07 + 3*t^6.08 + 4*t^6.16 + t^6.17 + t^6.24 + t^6.25 + t^6.32 + 2*t^6.33 + t^6.89 + 3*t^6.97 - t^6.98 + 4*t^7.05 + 2*t^7.06 + 3*t^7.13 + 3*t^7.14 + 2*t^7.21 + 5*t^7.22 + t^7.23 + 2*t^7.29 + 3*t^7.3 + t^7.62 + t^7.86 + 2*t^7.94 + 2*t^7.95 + 5*t^8.1 + 5*t^8.11 + 2*t^8.18 + 5*t^8.19 + 7*t^8.27 + 2*t^8.28 + 2*t^8.35 + t^8.36 + t^8.43 + 3*t^8.44 - t^8.67 - t^8.68 + t^8.75 + 2*t^8.91 + 2*t^8.99 + t^8.92/y^2 - t^3.97/y - t^4.95/y - t^6./y - t^6.89/y - (2*t^6.97)/y - t^6.98/y - t^7.13/y - t^7.14/y - t^7.86/y + t^8.03/y - (2*t^8.11)/y + (2*t^8.19)/y - t^8.99/y - t^3.97*y - t^4.95*y - t^6.*y - t^6.89*y - 2*t^6.97*y - t^6.98*y - t^7.13*y - t^7.14*y - t^7.86*y + t^8.03*y - 2*t^8.11*y + 2*t^8.19*y - t^8.99*y + t^8.92*y^2 (g2^14*t^2.02)/g1 + t^2.92/g2^9 + (g1*t^3.)/g2^11 + (g2^11*t^3.)/g1 + (g2^29*t^3.16)/g1 + g1*g2^7*t^3.17 + (g2^8*t^3.97)/g1 + g2^6*t^4.05 + (g2^28*t^4.05)/g1^2 + (g2^26*t^4.13)/g1 + g1*g2^4*t^4.14 + (2*g2^5*t^4.94)/g1 + (g1*t^4.95)/g2^17 + (g2^25*t^5.02)/g1^2 + g2^3*t^5.03 + g1*g2*t^5.11 + (g2^23*t^5.11)/g1 + g2^21*t^5.19 + (g2^43*t^5.19)/g1^2 + g1*g2^19*t^5.27 + (g2^41*t^5.27)/g1 + t^5.84/g2^18 + (g1*t^5.92)/g2^20 + (g2^2*t^5.92)/g1 + (g2^22*t^5.99)/g1^2 - 2*t^6. + (g2^42*t^6.07)/g1^3 + (g1*t^6.08)/g2^2 + (2*g2^20*t^6.08)/g1 + 2*g2^18*t^6.16 + (2*g2^40*t^6.16)/g1^2 + (g1^2*t^6.17)/g2^4 + (g2^38*t^6.24)/g1 + g1*g2^16*t^6.25 + (g2^58*t^6.32)/g1^2 + g1^2*g2^14*t^6.33 + g2^36*t^6.33 + t^6.89/(g1*g2) + t^6.97/g2^3 + (2*g2^19*t^6.97)/g1^2 - (g1^2*t^6.98)/g2^25 + (3*g2^17*t^7.05)/g1 + (g2^39*t^7.05)/g1^3 + (2*g1*t^7.06)/g2^5 + (3*g2^37*t^7.13)/g1^2 + (g1^2*t^7.14)/g2^7 + 2*g2^15*t^7.14 + (2*g2^57*t^7.21)/g1^3 + 2*g1*g2^13*t^7.22 + (3*g2^35*t^7.22)/g1 + (g1^3*t^7.23)/g2^9 + (2*g2^55*t^7.29)/g1^2 + g1^2*g2^11*t^7.3 + 2*g2^33*t^7.3 + t^7.62/g2^42 + t^7.86/(g1*g2^4) + (2*g2^16*t^7.94)/g1^2 + (2*t^7.95)/g2^6 - (g2^14*t^8.02)/g1 + (g2^36*t^8.02)/g1^3 + (4*g2^34*t^8.1)/g1^2 + (g2^56*t^8.1)/g1^4 + (g1^2*t^8.11)/g2^10 + 4*g2^12*t^8.11 + (2*g2^54*t^8.18)/g1^3 + 2*g1*g2^10*t^8.19 + (3*g2^32*t^8.19)/g1 + 4*g2^30*t^8.27 + (3*g2^52*t^8.27)/g1^2 + 2*g1^2*g2^8*t^8.28 + (g2^50*t^8.35)/g1 + (g2^72*t^8.35)/g1^3 + g1*g2^28*t^8.36 + (g2^70*t^8.43)/g1^2 + g1^2*g2^26*t^8.44 + 2*g2^48*t^8.44 - t^8.67/(g1*g2^25) - (g1*t^8.68)/g2^47 + t^8.75/g2^27 + (2*g2^13*t^8.91)/g1^2 + (2*g2^33*t^8.99)/g1^3 + t^8.92/(g2^9*y^2) - t^3.97/(g2^3*y) - t^4.95/(g2^6*y) - (g2^11*t^6.)/(g1*y) - t^6.89/(g2^12*y) - (2*g2^8*t^6.97)/(g1*y) - (g1*t^6.98)/(g2^14*y) - (g2^26*t^7.13)/(g1*y) - (g1*g2^4*t^7.14)/y - t^7.86/(g2^15*y) + (g2^3*t^8.03)/y - (g1*g2*t^8.11)/y - (g2^23*t^8.11)/(g1*y) + (g2^21*t^8.19)/y + (g2^43*t^8.19)/(g1^2*y) + (g1*t^8.92)/(g2^20*y) - (g2^2*t^8.92)/(g1*y) - (g2^22*t^8.99)/(g1^2*y) - (t^3.97*y)/g2^3 - (t^4.95*y)/g2^6 - (g2^11*t^6.*y)/g1 - (t^6.89*y)/g2^12 - (2*g2^8*t^6.97*y)/g1 - (g1*t^6.98*y)/g2^14 - (g2^26*t^7.13*y)/g1 - g1*g2^4*t^7.14*y - (t^7.86*y)/g2^15 + g2^3*t^8.03*y - g1*g2*t^8.11*y - (g2^23*t^8.11*y)/g1 + g2^21*t^8.19*y + (g2^43*t^8.19*y)/g1^2 + (g1*t^8.92*y)/g2^20 - (g2^2*t^8.92*y)/g1 - (g2^22*t^8.99*y)/g1^2 + (t^8.92*y^2)/g2^9


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
60759 ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ 1.4634 1.6644 0.8793 [X:[1.3515], M:[0.6757], q:[0.4777, 0.4777], qb:[0.5223, 0.5767], phi:[0.3243]] t^2.03 + t^2.92 + 2*t^3. + 2*t^3.16 + t^3.97 + 2*t^4.05 + 2*t^4.14 + 3*t^4.95 + 2*t^5.03 + 2*t^5.11 + 2*t^5.19 + 2*t^5.27 + t^5.84 + 2*t^5.92 - t^6. - t^3.97/y - t^4.95/y - t^6./y - t^3.97*y - t^4.95*y - t^6.*y detail
59429 ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ 1.3902 1.5756 0.8823 [X:[1.3653], M:[0.8413], q:[0.6617, 0.3444], qb:[0.497, 0.5928], phi:[0.3174]] 2*t^2.52 + t^2.81 + t^2.86 + t^3.48 + 2*t^3.76 + t^4.1 + 2*t^4.43 + 2*t^4.72 + t^5. + 2*t^5.05 + 2*t^5.34 + 3*t^5.38 + t^5.62 + 2*t^5.67 + t^5.71 + 3*t^5.96 - 2*t^6. - t^3.95/y - t^4.9/y - t^3.95*y - t^4.9*y detail
60774 ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ 1.2102 1.372 0.882 [X:[1.4018], M:[1.0], q:[0.869, 0.2708], qb:[0.4301, 0.6354], phi:[0.2991]] t^2.1 + t^2.69 + t^2.72 + t^3. + t^3.62 + 2*t^3.9 + t^4.21 + 2*t^4.51 + 2*t^4.79 + t^4.82 + 2*t^5.13 + t^5.38 + 2*t^5.41 + t^5.44 + 2*t^5.69 + 2*t^5.72 - t^6. - t^3.9/y - t^4.79/y - t^6./y - t^3.9*y - t^4.79*y - t^6.*y detail
60681 ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ 1.4842 1.7055 0.8703 [X:[1.3514], M:[0.6757, 0.6757], q:[0.4776, 0.4776], qb:[0.5224, 0.5766], phi:[0.3243]] 2*t^2.03 + t^2.92 + 2*t^3. + 2*t^3.16 + 4*t^4.05 + 2*t^4.14 + 4*t^4.95 + 4*t^5.03 + 2*t^5.11 + 4*t^5.19 + 2*t^5.27 + t^5.84 + 2*t^5.92 - 2*t^6. - t^3.97/y - t^4.95/y - (2*t^6.)/y - t^3.97*y - t^4.95*y - 2*t^6.*y detail
59414 ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ 1.4612 1.6628 0.8788 [X:[1.3469], M:[0.6728, 1.0204], q:[0.4687, 0.47], qb:[0.5306, 0.5714], phi:[0.3265]] t^2.02 + 2*t^3. + t^3.06 + 2*t^3.12 + t^3.98 + 2*t^4.04 + 2*t^4.1 + 2*t^4.96 + 2*t^5.02 + 3*t^5.08 + 2*t^5.14 + t^5.2 + t^5.21 - t^6. - t^3.98/y - t^4.96/y - t^6./y - t^3.98*y - t^4.96*y - t^6.*y detail
58912 ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ 1.4641 1.6651 0.8793 [X:[1.3514], M:[0.6909, 0.9848], q:[0.4928, 0.4624], qb:[0.5224, 0.5767], phi:[0.3243]] t^2.07 + t^2.92 + 2*t^2.95 + t^3.12 + t^3.21 + t^4.02 + t^4.05 + t^4.09 + t^4.15 + t^4.18 + t^4.9 + 2*t^4.99 + 2*t^5.03 + t^5.06 + t^5.15 + t^5.19 + t^5.23 + t^5.28 + t^5.32 + t^5.84 + 2*t^5.87 + 2*t^5.91 - 3*t^6. - t^3.97/y - t^4.95/y - t^3.97*y - t^4.95*y detail
58810 ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ 1.1081 1.281 0.865 [X:[1.315, 1.37], M:[0.9725], q:[0.7258, 0.0958], qb:[0.5892, 0.5342], phi:[0.3425]] t^2.05 + 2*t^2.92 + t^3.08 + 2*t^3.78 + 4*t^3.95 + 2*t^4.11 + 2*t^4.81 + 3*t^4.97 + t^5.67 + 5*t^5.84 + 3*t^6. - t^4.03/y - t^5.05/y - t^4.03*y - t^5.05*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
47912 SU3adj1nf2 ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ 1.4426 1.6233 0.8887 [X:[1.3516], q:[0.4779, 0.4779], qb:[0.5221, 0.5768], phi:[0.3242]] t^2.918 + 2*t^3. + 2*t^3.164 + 2*t^3.973 + t^4.055 + 2*t^4.137 + 2*t^4.945 + 2*t^5.109 + 2*t^5.273 + t^5.836 + 2*t^5.918 - 2*t^6. - t^3.973/y - t^4.945/y - t^3.973*y - t^4.945*y detail