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$a$ =

$c$ =

$\leq a \leq$

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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
55796 SU2adj1nf3 $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ q_2\tilde{q}_1$ + $ M_1q_1\tilde{q}_2$ 0.6817 0.8108 0.8408 [X:[], M:[0.8681], q:[0.5659, 1.0474, 0.8067], qb:[0.9526, 0.5659, 0.515], phi:[0.3866]] [X:[], M:[[-7, -7, -2]], q:[[7, 2, 2], [-5, 0, 0], [1, 1, 1]], qb:[[5, 0, 0], [0, 5, 0], [0, 0, 5]], phi:[[-2, -2, -2]]] 3
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ M_1$, $ \tilde{q}_2\tilde{q}_3$, $ q_1\tilde{q}_3$, $ q_3\tilde{q}_3$, $ q_3\tilde{q}_2$, $ q_1q_3$, $ \phi_1\tilde{q}_3^2$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ \tilde{q}_1\tilde{q}_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ \phi_1^2\tilde{q}_2\tilde{q}_3$, $ \phi_1\tilde{q}_1\tilde{q}_3$ . -5 t^2.32 + t^2.6 + 2*t^3.24 + t^3.96 + 2*t^4.12 + t^4.25 + 2*t^4.4 + 3*t^4.56 + t^4.64 + t^4.92 + t^5.21 + 2*t^5.56 - 5*t^6. - 2*t^6.15 + 3*t^6.49 + 2*t^6.57 + 2*t^6.72 + t^6.85 + 2*t^6.88 + t^6.96 - t^7.16 + 2*t^7.21 + t^7.24 - 2*t^7.31 + 3*t^7.36 + 2*t^7.49 + t^7.53 + 3*t^7.65 + 4*t^7.8 + t^7.81 + 2*t^7.88 + t^8.21 - 5*t^8.32 + 2*t^8.37 - 2*t^8.47 + t^8.5 + 3*t^8.52 - 2*t^8.6 + 2*t^8.65 + 4*t^8.67 + 5*t^8.81 + t^8.89 + t^8.91 + 2*t^8.96 - t^4.16/y - t^6.48/y - t^6.76/y + t^7.56/y + t^7.84/y + t^7.92/y + (2*t^8.56)/y - t^8.8/y + (2*t^8.85)/y - t^4.16*y - t^6.48*y - t^6.76*y + t^7.56*y + t^7.84*y + t^7.92*y + 2*t^8.56*y - t^8.8*y + 2*t^8.85*y t^2.32/(g1^4*g2^4*g3^4) + t^2.6/(g1^7*g2^7*g3^2) + g2^5*g3^5*t^3.24 + g1^7*g2^2*g3^7*t^3.24 + g1*g2*g3^6*t^3.96 + g1*g2^6*g3*t^4.12 + g1^8*g2^3*g3^3*t^4.12 + (g3^8*t^4.25)/(g1^2*g2^2) + (g2^3*g3^3*t^4.4)/g1^2 + g1^5*g3^5*t^4.4 + g1^5*g2^5*t^4.56 + (g2^8*t^4.56)/(g1^2*g3^2) + g1^12*g2^2*g3^2*t^4.56 + t^4.64/(g1^8*g2^8*g3^8) + t^4.92/(g1^11*g2^11*g3^6) + t^5.21/(g1^14*g2^14*g3^4) + (g2*g3*t^5.56)/g1^4 + (g1^3*g3^3*t^5.56)/g2^2 - 3*t^6. - (g2^3*t^6.)/(g1^7*g3^2) - (g1^7*g3^2*t^6.)/g2^3 - (g2^5*t^6.15)/g3^5 - (g1^7*g2^2*t^6.15)/g3^3 + g2^10*g3^10*t^6.49 + g1^7*g2^7*g3^12*t^6.49 + g1^14*g2^4*g3^14*t^6.49 + (2*g3^4*t^6.57)/(g1^6*g2^6) + t^6.72/(g1^6*g2*g3) + (g1*g3*t^6.72)/g2^4 + (g3^6*t^6.85)/(g1^9*g2^9) + (g2^4*t^6.88)/(g1^6*g3^6) + (g1^8*t^6.88)/(g2^2*g3^2) + t^6.96/(g1^12*g2^12*g3^12) - t^7.16/(g1^2*g2^2*g3^2) + g1*g2^6*g3^11*t^7.21 + g1^8*g2^3*g3^13*t^7.21 + t^7.24/(g1^15*g2^15*g3^10) - (g2^3*t^7.31)/(g1^2*g3^7) - (g1^5*t^7.31)/g3^5 + g1*g2^11*g3^6*t^7.36 + g1^8*g2^8*g3^8*t^7.36 + g1^15*g2^5*g3^10*t^7.36 + (g2^3*g3^13*t^7.49)/g1^2 + g1^5*g3^15*t^7.49 + t^7.53/(g1^18*g2^18*g3^8) + (g2^8*g3^8*t^7.65)/g1^2 + g1^5*g2^5*g3^10*t^7.65 + g1^12*g2^2*g3^12*t^7.65 + (g2^13*g3^3*t^7.8)/g1^2 + g1^5*g2^10*g3^5*t^7.8 + g1^12*g2^7*g3^7*t^7.8 + g1^19*g2^4*g3^9*t^7.8 + t^7.81/(g1^21*g2^21*g3^6) + t^7.88/(g1^8*g2^3*g3^3) + t^7.88/(g1*g2^6*g3) + (g3^14*t^8.21)/(g1*g2) - t^8.32/(g1^11*g2*g3^6) - (3*t^8.32)/(g1^4*g2^4*g3^4) - (g1^3*t^8.32)/(g2^7*g3^2) + (g2^4*g3^9*t^8.37)/g1 + g1^6*g2*g3^11*t^8.37 - (g2*t^8.47)/(g1^4*g3^9) - (g1^3*t^8.47)/(g2^2*g3^7) + (g3^16*t^8.5)/(g1^4*g2^4) + (g2^9*g3^4*t^8.52)/g1 + g1^6*g2^6*g3^6*t^8.52 + g1^13*g2^3*g3^8*t^8.52 - (2*t^8.6)/(g1^7*g2^7*g3^2) + (g2*g3^11*t^8.65)/g1^4 + (g1^3*g3^13*t^8.65)/g2^2 + (g2^14*t^8.67)/(g1*g3) + g1^6*g2^11*g3*t^8.67 + g1^13*g2^8*g3^3*t^8.67 + g1^20*g2^5*g3^5*t^8.67 + (2*g2^6*g3^6*t^8.81)/g1^4 + g1^3*g2^3*g3^8*t^8.81 + 2*g1^10*g3^10*t^8.81 + t^8.89/(g1^10*g2^10) + t^8.91/g3^10 + (g2^11*g3*t^8.96)/g1^4 + g1^17*g2^2*g3^7*t^8.96 - t^4.16/(g1^2*g2^2*g3^2*y) - t^6.48/(g1^6*g2^6*g3^6*y) - t^6.76/(g1^9*g2^9*g3^4*y) + (g1^5*g2^5*t^7.56)/y + (g1^2*g2^2*g3^2*t^7.84)/y + t^7.92/(g1^11*g2^11*g3^6*y) + (g2*g3*t^8.56)/(g1^4*y) + (g1^3*g3^3*t^8.56)/(g2^2*y) - t^8.8/(g1^10*g2^10*g3^10*y) + (g3^3*t^8.85)/(g1^7*g2^2*y) + (g3^5*t^8.85)/(g2^5*y) - (t^4.16*y)/(g1^2*g2^2*g3^2) - (t^6.48*y)/(g1^6*g2^6*g3^6) - (t^6.76*y)/(g1^9*g2^9*g3^4) + g1^5*g2^5*t^7.56*y + g1^2*g2^2*g3^2*t^7.84*y + (t^7.92*y)/(g1^11*g2^11*g3^6) + (g2*g3*t^8.56*y)/g1^4 + (g1^3*g3^3*t^8.56*y)/g2^2 - (t^8.8*y)/(g1^10*g2^10*g3^10) + (g3^3*t^8.85*y)/(g1^7*g2^2) + (g3^5*t^8.85*y)/g2^5


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


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
1668 SU2adj1nf2 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ 0.6817 0.8108 0.8408 [X:[], M:[0.8681], q:[0.8067, 0.5659], qb:[0.5659, 0.515], phi:[0.3866]] t^2.32 + t^2.6 + 2*t^3.24 + t^3.96 + 2*t^4.12 + t^4.25 + 2*t^4.4 + 3*t^4.56 + t^4.64 + t^4.92 + t^5.21 + 2*t^5.56 - 5*t^6. - t^4.16/y - t^4.16*y detail


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
55675 SU2adj1nf3 $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ q_2\tilde{q}_1$ 0.6732 0.8001 0.8414 [X:[], M:[], q:[0.5261, 1.0677, 0.7969], qb:[0.9323, 0.5261, 0.5261], phi:[0.4062]] t^2.44 + 3*t^3.16 + 3*t^3.97 + 6*t^4.38 + t^4.87 + 3*t^5.59 - 9*t^6. - t^4.22/y - t^4.22*y detail