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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
47936 SU3adj1nf2 ${}M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ 1.4408 1.6253 0.8865 [X:[1.3398], M:[1.0097], q:[0.5767, 0.5165], qb:[0.4631, 0.4631], phi:[0.3301]] [X:[[0, 0, 2]], M:[[0, 0, 3]], q:[[1, 1, -5], [-2, -2, 11]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] 3
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$ ${}$ -5 2*t^2.939 + t^3.029 + 2*t^3.119 + 2*t^3.929 + t^4.019 + 2*t^4.11 + 2*t^4.919 + 2*t^5.1 + 2*t^5.158 + 3*t^5.878 + 2*t^5.968 - 5*t^6. + 5*t^6.058 + 4*t^6.148 - t^6.18 + 3*t^6.239 + 4*t^6.868 + 4*t^6.958 - 4*t^6.99 + 8*t^7.048 + 8*t^7.139 - t^7.171 + 3*t^7.229 + t^7.62 + 7*t^7.858 - 2*t^7.89 + 2*t^7.949 - 3*t^7.981 + 8*t^8.039 + 4*t^8.097 + 2*t^8.129 + 2*t^8.187 + 3*t^8.219 + 4*t^8.277 - 2*t^8.7 + 4*t^8.816 + 4*t^8.849 - 2*t^8.881 + 3*t^8.907 - 10*t^8.939 + t^8.971 + 8*t^8.997 + t^8.971/y^2 - t^3.99/y - t^4.981/y - (2*t^6.929)/y - t^7.019/y - (2*t^7.11)/y - (2*t^7.919)/y - t^8.01/y - (2*t^8.1)/y + t^8.878/y - (2*t^8.91)/y + (2*t^8.968)/y - t^3.99*y - t^4.981*y - 2*t^6.929*y - t^7.019*y - 2*t^7.11*y - 2*t^7.919*y - t^8.01*y - 2*t^8.1*y + t^8.878*y - 2*t^8.91*y + 2*t^8.968*y + t^8.971*y^2 (g3^11*t^2.939)/(g1*g2^2) + (g3^11*t^2.939)/(g1^2*g2) + g3^3*t^3.029 + (g1^2*g2*t^3.119)/g3^5 + (g1*g2^2*t^3.119)/g3^5 + (g3^10*t^3.929)/(g1*g2^2) + (g3^10*t^3.929)/(g1^2*g2) + g3^2*t^4.019 + (g1^2*g2*t^4.11)/g3^6 + (g1*g2^2*t^4.11)/g3^6 + (g3^9*t^4.919)/(g1*g2^2) + (g3^9*t^4.919)/(g1^2*g2) + (g1^2*g2*t^5.1)/g3^7 + (g1*g2^2*t^5.1)/g3^7 + (g1^2*g2*t^5.158)/g3 + (g1*g2^2*t^5.158)/g3 + (g3^22*t^5.878)/(g1^2*g2^4) + (g3^22*t^5.878)/(g1^3*g2^3) + (g3^22*t^5.878)/(g1^4*g2^2) + (g3^14*t^5.968)/(g1*g2^2) + (g3^14*t^5.968)/(g1^2*g2) - 3*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 + 3*g3^6*t^6.058 + (g1*g3^6*t^6.058)/g2 + (g2*g3^6*t^6.058)/g1 + (2*g1^2*g2*t^6.148)/g3^2 + (2*g1*g2^2*t^6.148)/g3^2 - (g1^3*g2^3*t^6.18)/g3^16 + (g1^4*g2^2*t^6.239)/g3^10 + (g1^3*g2^3*t^6.239)/g3^10 + (g1^2*g2^4*t^6.239)/g3^10 + (g3^21*t^6.868)/(g1^2*g2^4) + (2*g3^21*t^6.868)/(g1^3*g2^3) + (g3^21*t^6.868)/(g1^4*g2^2) + (2*g3^13*t^6.958)/(g1*g2^2) + (2*g3^13*t^6.958)/(g1^2*g2) - (2*t^6.99)/g3 - (g1*t^6.99)/(g2*g3) - (g2*t^6.99)/(g1*g3) + 4*g3^5*t^7.048 + (2*g1*g3^5*t^7.048)/g2 + (2*g2*g3^5*t^7.048)/g1 + (g1^3*t^7.139)/g3^3 + (3*g1^2*g2*t^7.139)/g3^3 + (3*g1*g2^2*t^7.139)/g3^3 + (g2^3*t^7.139)/g3^3 - (g1^3*g2^3*t^7.171)/g3^17 + (g1^4*g2^2*t^7.229)/g3^11 + (g1^3*g2^3*t^7.229)/g3^11 + (g1^2*g2^4*t^7.229)/g3^11 + (g3^30*t^7.62)/(g1^6*g2^6) + (2*g3^20*t^7.858)/(g1^2*g2^4) + (3*g3^20*t^7.858)/(g1^3*g2^3) + (2*g3^20*t^7.858)/(g1^4*g2^2) - (g3^6*t^7.89)/(g1*g2^2) - (g3^6*t^7.89)/(g1^2*g2) + (g3^12*t^7.949)/(g1*g2^2) + (g3^12*t^7.949)/(g1^2*g2) - t^7.981/g3^2 - (g1*t^7.981)/(g2*g3^2) - (g2*t^7.981)/(g1*g3^2) + 4*g3^4*t^8.039 + (2*g1*g3^4*t^8.039)/g2 + (2*g2*g3^4*t^8.039)/g1 + 2*g3^10*t^8.097 + (g1*g3^10*t^8.097)/g2 + (g2*g3^10*t^8.097)/g1 + (g1^2*g2*t^8.129)/g3^4 + (g1*g2^2*t^8.129)/g3^4 + g1^2*g2*g3^2*t^8.187 + g1*g2^2*g3^2*t^8.187 + (g1^4*g2^2*t^8.219)/g3^12 + (g1^3*g2^3*t^8.219)/g3^12 + (g1^2*g2^4*t^8.219)/g3^12 + (g1^4*g2^2*t^8.277)/g3^6 + (2*g1^3*g2^3*t^8.277)/g3^6 + (g1^2*g2^4*t^8.277)/g3^6 - (g3^21*t^8.7)/(g1^4*g2^5) - (g3^21*t^8.7)/(g1^5*g2^4) + (g3^33*t^8.816)/(g1^3*g2^6) + (g3^33*t^8.816)/(g1^4*g2^5) + (g3^33*t^8.816)/(g1^5*g2^4) + (g3^33*t^8.816)/(g1^6*g2^3) + (g3^19*t^8.849)/(g1^2*g2^4) + (2*g3^19*t^8.849)/(g1^3*g2^3) + (g3^19*t^8.849)/(g1^4*g2^2) - (g3^5*t^8.881)/(g1*g2^2) - (g3^5*t^8.881)/(g1^2*g2) + (g3^25*t^8.907)/(g1^2*g2^4) + (g3^25*t^8.907)/(g1^3*g2^3) + (g3^25*t^8.907)/(g1^4*g2^2) - (g3^11*t^8.939)/g1^3 - (g3^11*t^8.939)/g2^3 - (4*g3^11*t^8.939)/(g1*g2^2) - (4*g3^11*t^8.939)/(g1^2*g2) + t^8.971/g3^3 + (g3^17*t^8.997)/g1^3 + (g3^17*t^8.997)/g2^3 + (3*g3^17*t^8.997)/(g1*g2^2) + (3*g3^17*t^8.997)/(g1^2*g2) + t^8.971/(g3^3*y^2) - t^3.99/(g3*y) - t^4.981/(g3^2*y) - (g3^10*t^6.929)/(g1*g2^2*y) - (g3^10*t^6.929)/(g1^2*g2*y) - (g3^2*t^7.019)/y - (g1^2*g2*t^7.11)/(g3^6*y) - (g1*g2^2*t^7.11)/(g3^6*y) - (g3^9*t^7.919)/(g1*g2^2*y) - (g3^9*t^7.919)/(g1^2*g2*y) - (g3*t^8.01)/y - (g1^2*g2*t^8.1)/(g3^7*y) - (g1*g2^2*t^8.1)/(g3^7*y) + (g3^22*t^8.878)/(g1^3*g2^3*y) - (g3^8*t^8.91)/(g1*g2^2*y) - (g3^8*t^8.91)/(g1^2*g2*y) + (g3^14*t^8.968)/(g1*g2^2*y) + (g3^14*t^8.968)/(g1^2*g2*y) - (t^3.99*y)/g3 - (t^4.981*y)/g3^2 - (g3^10*t^6.929*y)/(g1*g2^2) - (g3^10*t^6.929*y)/(g1^2*g2) - g3^2*t^7.019*y - (g1^2*g2*t^7.11*y)/g3^6 - (g1*g2^2*t^7.11*y)/g3^6 - (g3^9*t^7.919*y)/(g1*g2^2) - (g3^9*t^7.919*y)/(g1^2*g2) - g3*t^8.01*y - (g1^2*g2*t^8.1*y)/g3^7 - (g1*g2^2*t^8.1*y)/g3^7 + (g3^22*t^8.878*y)/(g1^3*g2^3) - (g3^8*t^8.91*y)/(g1*g2^2) - (g3^8*t^8.91*y)/(g1^2*g2) + (g3^14*t^8.968*y)/(g1*g2^2) + (g3^14*t^8.968*y)/(g1^2*g2) + (t^8.971*y^2)/g3^3


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
57655 ${}M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ 1.4407 1.6241 0.8871 [X:[1.3422], M:[1.0133], q:[0.5757, 0.5198], qb:[0.467, 0.4641], phi:[0.3289]] t^2.95 + t^2.96 + t^3.04 + t^3.12 + t^3.13 + t^3.94 + t^3.95 + t^4.03 + 2*t^4.11 + 2*t^4.93 + t^5.09 + t^5.1 + t^5.17 + t^5.18 + t^5.9 + t^5.91 + t^5.92 - 2*t^6. - t^3.99/y - t^4.97/y - t^3.99*y - t^4.97*y detail
57653 ${}M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ 1.4123 1.5667 0.9014 [X:[1.4039], M:[1.1059], q:[0.5961, 0.5099], qb:[0.5961, 0.5099], phi:[0.298]] t^3.06 + 3*t^3.32 + t^3.58 + t^3.95 + 3*t^4.21 + t^4.47 + t^4.85 + 2*t^5.11 + t^5.36 - 2*t^6. - t^3.89/y - t^4.79/y - t^3.89*y - t^4.79*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
47870 SU3adj1nf2 ${}M_{1}\phi_{1}^{3}$ 1.4767 1.6956 0.8709 [M:[0.961], q:[0.4805, 0.4805], qb:[0.4805, 0.4805], phi:[0.3463]] t^2.078 + 5*t^2.883 + 4*t^3.922 + t^4.156 + 9*t^4.961 + 4*t^5.363 + 15*t^5.766 - 4*t^6. - t^4.039/y - t^5.078/y - t^4.039*y - t^5.078*y detail