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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
55602 SU2adj1nf3 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_1\tilde{q}_1\tilde{q}_2$ 0.8901 1.0957 0.8124 [X:[], M:[0.7598, 0.8431], q:[0.6201, 0.6201, 0.6029], qb:[0.6201, 0.6201, 0.6029], phi:[0.5785]] [X:[], M:[[0, 0, -2, -2, 0], [0, 2, 2, 2, 2]], q:[[-1, 0, 2, 2, 0], [1, 0, 0, 0, 0], [0, 4, 0, 0, 0]], qb:[[0, 0, 2, 0, 0], [0, 0, 0, 2, 0], [0, 0, 0, 0, 4]], phi:[[0, -1, -1, -1, -1]]] 5
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ M_2$, $ q_3\tilde{q}_3$, $ q_3\tilde{q}_1$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ \phi_1q_3^2$, $ \phi_1q_3\tilde{q}_3$, $ \phi_1q_3\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1q_3\tilde{q}_3$ . -15 t^2.28 + t^2.53 + t^3.62 + 8*t^3.67 + 5*t^3.72 + t^4.56 + t^4.81 + t^5.06 + 3*t^5.35 + 8*t^5.4 + 10*t^5.46 + t^5.9 - 15*t^6. - 8*t^6.05 + t^6.15 + 8*t^6.2 + 5*t^6.25 + t^6.84 + t^7.09 + t^7.23 + 8*t^7.29 + 36*t^7.34 + 32*t^7.39 + 14*t^7.44 + t^7.59 + 3*t^7.63 - 9*t^7.74 - 8*t^7.79 + t^8.18 - 5*t^8.28 + 3*t^8.38 + t^8.43 - 15*t^8.53 - 8*t^8.58 + t^8.68 + 8*t^8.73 + 5*t^8.78 + 3*t^8.97 - t^4.74/y - t^7.01/y + t^7.81/y + t^8.46/y + t^8.9/y + (8*t^8.95)/y - t^4.74*y - t^7.01*y + t^7.81*y + t^8.46*y + t^8.9*y + 8*t^8.95*y t^2.28/(g3^2*g4^2) + g2^2*g3^2*g4^2*g5^2*t^2.53 + g2^4*g5^4*t^3.62 + g1*g2^4*t^3.67 + g2^4*g3^2*t^3.67 + g2^4*g4^2*t^3.67 + (g2^4*g3^2*g4^2*t^3.67)/g1 + g1*g5^4*t^3.67 + g3^2*g5^4*t^3.67 + g4^2*g5^4*t^3.67 + (g3^2*g4^2*g5^4*t^3.67)/g1 + g1*g3^2*t^3.72 + g1*g4^2*t^3.72 + g3^2*g4^2*t^3.72 + (g3^4*g4^2*t^3.72)/g1 + (g3^2*g4^4*t^3.72)/g1 + t^4.56/(g3^4*g4^4) + g2^2*g5^2*t^4.81 + g2^4*g3^4*g4^4*g5^4*t^5.06 + (g2^7*t^5.35)/(g3*g4*g5) + (g2^3*g5^3*t^5.35)/(g3*g4) + (g5^7*t^5.35)/(g2*g3*g4) + (g1*g2^3*t^5.4)/(g3*g4*g5) + (g2^3*g3*t^5.4)/(g4*g5) + (g2^3*g4*t^5.4)/(g3*g5) + (g2^3*g3*g4*t^5.4)/(g1*g5) + (g1*g5^3*t^5.4)/(g2*g3*g4) + (g3*g5^3*t^5.4)/(g2*g4) + (g4*g5^3*t^5.4)/(g2*g3) + (g3*g4*g5^3*t^5.4)/(g1*g2) + (g1^2*t^5.46)/(g2*g3*g4*g5) + (g1*g3*t^5.46)/(g2*g4*g5) + (g3^3*t^5.46)/(g2*g4*g5) + (g1*g4*t^5.46)/(g2*g3*g5) + (2*g3*g4*t^5.46)/(g2*g5) + (g3^3*g4*t^5.46)/(g1*g2*g5) + (g4^3*t^5.46)/(g2*g3*g5) + (g3*g4^3*t^5.46)/(g1*g2*g5) + (g3^3*g4^3*t^5.46)/(g1^2*g2*g5) + (g2^4*g5^4*t^5.9)/(g3^2*g4^2) - 5*t^6. - (g1*t^6.)/g3^2 - (g3^2*t^6.)/g1 - (g1*t^6.)/g4^2 - (g1^2*t^6.)/(g3^2*g4^2) - (g3^2*t^6.)/g4^2 - (g4^2*t^6.)/g1 - (g4^2*t^6.)/g3^2 - (g3^2*g4^2*t^6.)/g1^2 - (g2^4*t^6.)/g5^4 - (g5^4*t^6.)/g2^4 - (g1*t^6.05)/g2^4 - (g3^2*t^6.05)/g2^4 - (g4^2*t^6.05)/g2^4 - (g3^2*g4^2*t^6.05)/(g1*g2^4) - (g1*t^6.05)/g5^4 - (g3^2*t^6.05)/g5^4 - (g4^2*t^6.05)/g5^4 - (g3^2*g4^2*t^6.05)/(g1*g5^4) + g2^6*g3^2*g4^2*g5^6*t^6.15 + g1*g2^6*g3^2*g4^2*g5^2*t^6.2 + g2^6*g3^4*g4^2*g5^2*t^6.2 + g2^6*g3^2*g4^4*g5^2*t^6.2 + (g2^6*g3^4*g4^4*g5^2*t^6.2)/g1 + g1*g2^2*g3^2*g4^2*g5^6*t^6.2 + g2^2*g3^4*g4^2*g5^6*t^6.2 + g2^2*g3^2*g4^4*g5^6*t^6.2 + (g2^2*g3^4*g4^4*g5^6*t^6.2)/g1 + g1*g2^2*g3^4*g4^2*g5^2*t^6.25 + g1*g2^2*g3^2*g4^4*g5^2*t^6.25 + g2^2*g3^4*g4^4*g5^2*t^6.25 + (g2^2*g3^6*g4^4*g5^2*t^6.25)/g1 + (g2^2*g3^4*g4^6*g5^2*t^6.25)/g1 + t^6.84/(g3^6*g4^6) + (g2^2*g5^2*t^7.09)/(g3^2*g4^2) + g2^8*g5^8*t^7.23 + g1*g2^8*g5^4*t^7.29 + g2^8*g3^2*g5^4*t^7.29 + g2^8*g4^2*g5^4*t^7.29 + (g2^8*g3^2*g4^2*g5^4*t^7.29)/g1 + g1*g2^4*g5^8*t^7.29 + g2^4*g3^2*g5^8*t^7.29 + g2^4*g4^2*g5^8*t^7.29 + (g2^4*g3^2*g4^2*g5^8*t^7.29)/g1 + g1^2*g2^8*t^7.34 + g1*g2^8*g3^2*t^7.34 + g2^8*g3^4*t^7.34 + g1*g2^8*g4^2*t^7.34 + 2*g2^8*g3^2*g4^2*t^7.34 + (g2^8*g3^4*g4^2*t^7.34)/g1 + g2^8*g4^4*t^7.34 + (g2^8*g3^2*g4^4*t^7.34)/g1 + (g2^8*g3^4*g4^4*t^7.34)/g1^2 + g1^2*g2^4*g5^4*t^7.34 + 2*g1*g2^4*g3^2*g5^4*t^7.34 + g2^4*g3^4*g5^4*t^7.34 + 2*g1*g2^4*g4^2*g5^4*t^7.34 + 4*g2^4*g3^2*g4^2*g5^4*t^7.34 + (2*g2^4*g3^4*g4^2*g5^4*t^7.34)/g1 + g2^4*g4^4*g5^4*t^7.34 + (2*g2^4*g3^2*g4^4*g5^4*t^7.34)/g1 + (g2^4*g3^4*g4^4*g5^4*t^7.34)/g1^2 + g1^2*g5^8*t^7.34 + g1*g3^2*g5^8*t^7.34 + g3^4*g5^8*t^7.34 + g1*g4^2*g5^8*t^7.34 + 2*g3^2*g4^2*g5^8*t^7.34 + (g3^4*g4^2*g5^8*t^7.34)/g1 + g4^4*g5^8*t^7.34 + (g3^2*g4^4*g5^8*t^7.34)/g1 + (g3^4*g4^4*g5^8*t^7.34)/g1^2 + g1^2*g2^4*g3^2*t^7.39 + g1*g2^4*g3^4*t^7.39 + g1^2*g2^4*g4^2*t^7.39 + 2*g1*g2^4*g3^2*g4^2*t^7.39 + 2*g2^4*g3^4*g4^2*t^7.39 + (g2^4*g3^6*g4^2*t^7.39)/g1 + g1*g2^4*g4^4*t^7.39 + 2*g2^4*g3^2*g4^4*t^7.39 + (2*g2^4*g3^4*g4^4*t^7.39)/g1 + (g2^4*g3^6*g4^4*t^7.39)/g1^2 + (g2^4*g3^2*g4^6*t^7.39)/g1 + (g2^4*g3^4*g4^6*t^7.39)/g1^2 + g1^2*g3^2*g5^4*t^7.39 + g1*g3^4*g5^4*t^7.39 + g1^2*g4^2*g5^4*t^7.39 + 2*g1*g3^2*g4^2*g5^4*t^7.39 + 2*g3^4*g4^2*g5^4*t^7.39 + (g3^6*g4^2*g5^4*t^7.39)/g1 + g1*g4^4*g5^4*t^7.39 + 2*g3^2*g4^4*g5^4*t^7.39 + (2*g3^4*g4^4*g5^4*t^7.39)/g1 + (g3^6*g4^4*g5^4*t^7.39)/g1^2 + (g3^2*g4^6*g5^4*t^7.39)/g1 + (g3^4*g4^6*g5^4*t^7.39)/g1^2 + g1^2*g3^4*t^7.44 + g1^2*g3^2*g4^2*t^7.44 + g1*g3^4*g4^2*t^7.44 + g3^6*g4^2*t^7.44 + g1^2*g4^4*t^7.44 + g1*g3^2*g4^4*t^7.44 + 2*g3^4*g4^4*t^7.44 + (g3^6*g4^4*t^7.44)/g1 + (g3^8*g4^4*t^7.44)/g1^2 + g3^2*g4^6*t^7.44 + (g3^4*g4^6*t^7.44)/g1 + (g3^6*g4^6*t^7.44)/g1^2 + (g3^4*g4^8*t^7.44)/g1^2 + g2^6*g3^6*g4^6*g5^6*t^7.59 + (g2^7*t^7.63)/(g3^3*g4^3*g5) + (g2^3*g5^3*t^7.63)/(g3^3*g4^3) + (g5^7*t^7.63)/(g2*g3^3*g4^3) - (g2^3*t^7.74)/(g3*g4*g5^5) - (g1*t^7.74)/(g2*g3*g4^3*g5) - (g1*t^7.74)/(g2*g3^3*g4*g5) - (3*t^7.74)/(g2*g3*g4*g5) - (g3*t^7.74)/(g1*g2*g4*g5) - (g4*t^7.74)/(g1*g2*g3*g5) - (g5^3*t^7.74)/(g2^5*g3*g4) - (g1*t^7.79)/(g2*g3*g4*g5^5) - (g3*t^7.79)/(g2*g4*g5^5) - (g4*t^7.79)/(g2*g3*g5^5) - (g3*g4*t^7.79)/(g1*g2*g5^5) - (g1*t^7.79)/(g2^5*g3*g4*g5) - (g3*t^7.79)/(g2^5*g4*g5) - (g4*t^7.79)/(g2^5*g3*g5) - (g3*g4*t^7.79)/(g1*g2^5*g5) + (g2^4*g5^4*t^8.18)/(g3^4*g4^4) - (3*t^8.28)/(g3^2*g4^2) - (g2^4*t^8.28)/(g3^2*g4^2*g5^4) - (g5^4*t^8.28)/(g2^4*g3^2*g4^2) + t^8.38/g2^8 + t^8.38/g5^8 + t^8.38/(g2^4*g5^4) + g2^6*g5^6*t^8.43 - (g2^6*g3^2*g4^2*t^8.53)/g5^2 - g1^2*g2^2*g5^2*t^8.53 - g1*g2^2*g3^2*g5^2*t^8.53 - g2^2*g3^4*g5^2*t^8.53 - g1*g2^2*g4^2*g5^2*t^8.53 - 5*g2^2*g3^2*g4^2*g5^2*t^8.53 - (g2^2*g3^4*g4^2*g5^2*t^8.53)/g1 - g2^2*g4^4*g5^2*t^8.53 - (g2^2*g3^2*g4^4*g5^2*t^8.53)/g1 - (g2^2*g3^4*g4^4*g5^2*t^8.53)/g1^2 - (g3^2*g4^2*g5^6*t^8.53)/g2^2 - (g1*g2^2*g3^2*g4^2*t^8.58)/g5^2 - (g2^2*g3^4*g4^2*t^8.58)/g5^2 - (g2^2*g3^2*g4^4*t^8.58)/g5^2 - (g2^2*g3^4*g4^4*t^8.58)/(g1*g5^2) - (g1*g3^2*g4^2*g5^2*t^8.58)/g2^2 - (g3^4*g4^2*g5^2*t^8.58)/g2^2 - (g3^2*g4^4*g5^2*t^8.58)/g2^2 - (g3^4*g4^4*g5^2*t^8.58)/(g1*g2^2) + g2^8*g3^4*g4^4*g5^8*t^8.68 + g1*g2^8*g3^4*g4^4*g5^4*t^8.73 + g2^8*g3^6*g4^4*g5^4*t^8.73 + g2^8*g3^4*g4^6*g5^4*t^8.73 + (g2^8*g3^6*g4^6*g5^4*t^8.73)/g1 + g1*g2^4*g3^4*g4^4*g5^8*t^8.73 + g2^4*g3^6*g4^4*g5^8*t^8.73 + g2^4*g3^4*g4^6*g5^8*t^8.73 + (g2^4*g3^6*g4^6*g5^8*t^8.73)/g1 + g1*g2^4*g3^6*g4^4*g5^4*t^8.78 + g1*g2^4*g3^4*g4^6*g5^4*t^8.78 + g2^4*g3^6*g4^6*g5^4*t^8.78 + (g2^4*g3^8*g4^6*g5^4*t^8.78)/g1 + (g2^4*g3^6*g4^8*g5^4*t^8.78)/g1 + (g2^11*g5^3*t^8.97)/(g3*g4) + (g2^7*g5^7*t^8.97)/(g3*g4) + (g2^3*g5^11*t^8.97)/(g3*g4) - t^4.74/(g2*g3*g4*g5*y) - t^7.01/(g2*g3^3*g4^3*g5*y) + (g2^2*g5^2*t^7.81)/y + (g3*g4*t^8.46)/(g2*g5*y) + (g2^4*g5^4*t^8.9)/(g3^2*g4^2*y) + (g2^4*t^8.95)/(g1*y) + (g2^4*t^8.95)/(g3^2*y) + (g2^4*t^8.95)/(g4^2*y) + (g1*g2^4*t^8.95)/(g3^2*g4^2*y) + (g5^4*t^8.95)/(g1*y) + (g5^4*t^8.95)/(g3^2*y) + (g5^4*t^8.95)/(g4^2*y) + (g1*g5^4*t^8.95)/(g3^2*g4^2*y) - (t^4.74*y)/(g2*g3*g4*g5) - (t^7.01*y)/(g2*g3^3*g4^3*g5) + g2^2*g5^2*t^7.81*y + (g3*g4*t^8.46*y)/(g2*g5) + (g2^4*g5^4*t^8.9*y)/(g3^2*g4^2) + (g2^4*t^8.95*y)/g1 + (g2^4*t^8.95*y)/g3^2 + (g2^4*t^8.95*y)/g4^2 + (g1*g2^4*t^8.95*y)/(g3^2*g4^2) + (g5^4*t^8.95*y)/g1 + (g5^4*t^8.95*y)/g3^2 + (g5^4*t^8.95*y)/g4^2 + (g1*g5^4*t^8.95*y)/(g3^2*g4^2)


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
55813 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_3q_3\tilde{q}_3$ 0.9084 1.1258 0.8069 [X:[], M:[0.7677, 0.8599, 0.7447], q:[0.6161, 0.6161, 0.6276], qb:[0.6161, 0.6161, 0.6276], phi:[0.57]] t^2.23 + t^2.3 + t^2.58 + 5*t^3.7 + 8*t^3.73 + t^4.47 + t^4.54 + t^4.61 + t^4.81 + t^4.88 + t^5.16 + 10*t^5.41 + 8*t^5.44 + 3*t^5.48 + 5*t^5.93 - 15*t^6. - t^4.71/y - t^4.71*y detail
55804 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2\tilde{q}_1$ 0.8747 1.0798 0.81 [X:[], M:[0.7088, 0.8597], q:[0.5762, 0.7149, 0.5685], qb:[0.7149, 0.5762, 0.5685], phi:[0.5702]] t^2.13 + t^2.58 + t^3.41 + 4*t^3.43 + t^3.46 + 4*t^3.85 + 3*t^3.87 + t^4.25 + t^4.29 + t^4.71 + 3*t^5.12 + 4*t^5.14 + t^5.16 + 3*t^5.17 + t^5.54 + 4*t^5.56 + t^5.58 + t^5.99 - 6*t^6. - t^4.71/y - t^4.71*y detail
55704 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_3\tilde{q}_3$ 0.8676 1.0596 0.8188 [X:[], M:[0.8376, 0.8832], q:[0.5812, 0.5812, 0.7208], qb:[0.5812, 0.5812, 0.7208], phi:[0.5584]] t^2.51 + t^2.65 + 5*t^3.49 + 8*t^3.91 + t^4.32 + t^5.03 + 11*t^5.16 + t^5.3 - 12*t^6. - t^4.68/y - t^4.68*y detail
55746 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_3^2$ 0.8814 1.0816 0.8149 [X:[], M:[0.7903, 0.8592], q:[0.6049, 0.6049, 0.7148], qb:[0.6049, 0.6049, 0.5842], phi:[0.5704]] t^2.37 + t^2.58 + 4*t^3.57 + 5*t^3.63 + t^3.9 + 4*t^3.96 + t^4.74 + t^4.95 + t^5.16 + t^5.22 + 4*t^5.28 + 10*t^5.34 - 12*t^6. - t^4.71/y - t^4.71*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
55441 SU2adj1nf3 $M_1q_1q_2$ + $ M_2\phi_1^2$ 0.8907 1.0986 0.8108 [X:[], M:[0.7371, 0.8394], q:[0.6314, 0.6314, 0.604], qb:[0.604, 0.604, 0.604], phi:[0.5803]] t^2.21 + t^2.52 + 6*t^3.62 + 8*t^3.71 + t^4.42 + t^4.73 + t^5.04 + 10*t^5.36 + 8*t^5.45 + 3*t^5.53 + 6*t^5.84 - 20*t^6. - t^4.74/y - t^4.74*y detail