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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
69 SU2adj1nf2 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ 0.6924 0.8273 0.837 [X:[], M:[0.8454, 0.8454], q:[0.8152, 0.6031], qb:[0.5515, 0.5515], phi:[0.3697]] [X:[], M:[[-7, -7, 0], [-7, 0, -7]], q:[[1, 1, 1], [7, 0, 0]], qb:[[0, 7, 0], [0, 0, 7]], phi:[[-2, -2, -2]]] 3
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ M_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ M_1^2$, $ M_2^2$, $ M_1M_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ . -5 t^2.22 + 2*t^2.54 + t^3.31 + 2*t^4.1 + t^4.25 + 3*t^4.42 + t^4.44 + 2*t^4.57 + t^4.73 + 2*t^4.75 + 3*t^5.07 + t^5.53 - 5*t^6. - 2*t^6.15 + t^6.62 + 6*t^6.64 + t^6.65 + 2*t^6.79 + 5*t^6.95 + 2*t^6.97 + 3*t^7.29 + 2*t^7.41 + 4*t^7.61 + 3*t^7.73 + t^7.75 - 5*t^8.22 - 2*t^8.37 + 4*t^8.52 - 8*t^8.54 + 3*t^8.67 - t^8.69 + 2*t^8.83 + 6*t^8.84 + 3*t^8.85 + t^8.87 + t^8.98 + 2*t^8.99 - t^4.11/y - t^6.33/y - (2*t^6.65)/y + (2*t^7.57)/y + (2*t^7.75)/y + t^7.89/y + t^8.07/y + t^8.53/y - t^8.55/y + (2*t^8.85)/y - (2*t^8.86)/y - t^4.11*y - t^6.33*y - 2*t^6.65*y + 2*t^7.57*y + 2*t^7.75*y + t^7.89*y + t^8.07*y + t^8.53*y - t^8.55*y + 2*t^8.85*y - 2*t^8.86*y t^2.22/(g1^4*g2^4*g3^4) + t^2.54/(g1^7*g2^7) + t^2.54/(g1^7*g3^7) + g2^7*g3^7*t^3.31 + g1*g2^8*g3*t^4.1 + g1*g2*g3^8*t^4.1 + g1^8*g2*g3*t^4.25 + (g2^12*t^4.42)/(g1^2*g3^2) + (g2^5*g3^5*t^4.42)/g1^2 + (g3^12*t^4.42)/(g1^2*g2^2) + t^4.44/(g1^8*g2^8*g3^8) + (g1^5*g2^5*t^4.57)/g3^2 + (g1^5*g3^5*t^4.57)/g2^2 + (g1^12*t^4.73)/(g2^2*g3^2) + t^4.75/(g1^11*g2^4*g3^11) + t^4.75/(g1^11*g2^11*g3^4) + t^5.07/(g1^14*g2^14) + t^5.07/(g1^14*g3^14) + t^5.07/(g1^14*g2^7*g3^7) + (g2^3*g3^3*t^5.53)/g1^4 - 3*t^6. - (g2^7*t^6.)/g3^7 - (g3^7*t^6.)/g2^7 - (g1^7*t^6.15)/g2^7 - (g1^7*t^6.15)/g3^7 + g2^14*g3^14*t^6.62 + (2*g2^8*t^6.64)/(g1^6*g3^6) + (2*g2*g3*t^6.64)/g1^6 + (2*g3^8*t^6.64)/(g1^6*g2^6) + t^6.65/(g1^12*g2^12*g3^12) + (g1*g2*t^6.79)/g3^6 + (g1*g3*t^6.79)/g2^6 + (g2^12*t^6.95)/(g1^9*g3^9) + (g1^8*t^6.95)/(g2^6*g3^6) + (g2^5*t^6.95)/(g1^9*g3^2) + (g3^5*t^6.95)/(g1^9*g2^2) + (g3^12*t^6.95)/(g1^9*g2^9) + t^6.97/(g1^15*g2^8*g3^15) + t^6.97/(g1^15*g2^15*g3^8) + t^7.29/(g1^18*g2^4*g3^18) + t^7.29/(g1^18*g2^11*g3^11) + t^7.29/(g1^18*g2^18*g3^4) + g1*g2^15*g3^8*t^7.41 + g1*g2^8*g3^15*t^7.41 + t^7.61/(g1^21*g2^21) + t^7.61/(g1^21*g3^21) + t^7.61/(g1^21*g2^7*g3^14) + t^7.61/(g1^21*g2^14*g3^7) + (g2^19*g3^5*t^7.73)/g1^2 + (g2^12*g3^12*t^7.73)/g1^2 + (g2^5*g3^19*t^7.73)/g1^2 + t^7.75/(g1^8*g2*g3) - (g2^3*t^8.22)/(g1^4*g3^11) - (3*t^8.22)/(g1^4*g2^4*g3^4) - (g3^3*t^8.22)/(g1^4*g2^11) - (g1^3*t^8.37)/(g2^4*g3^11) - (g1^3*t^8.37)/(g2^11*g3^4) + (g2^20*t^8.52)/(g1*g3) + (g2^13*g3^6*t^8.52)/g1 + (g2^6*g3^13*t^8.52)/g1 + (g3^20*t^8.52)/(g1*g2) - (3*t^8.54)/(g1^7*g2^7) - (g2^7*t^8.54)/(g1^7*g3^14) - (3*t^8.54)/(g1^7*g3^7) - (g3^7*t^8.54)/(g1^7*g2^14) + (g1^6*g2^13*t^8.67)/g3 + g1^6*g2^6*g3^6*t^8.67 + (g1^6*g3^13*t^8.67)/g2 - t^8.69/(g2^7*g3^7) + (g1^13*g2^6*t^8.83)/g3 + (g1^13*g3^6*t^8.83)/g2 + (g2^24*t^8.84)/(g1^4*g3^4) + (g2^17*g3^3*t^8.84)/g1^4 + (2*g2^10*g3^10*t^8.84)/g1^4 + (g2^3*g3^17*t^8.84)/g1^4 + (g3^24*t^8.84)/(g1^4*g2^4) + (g2^4*t^8.85)/(g1^10*g3^10) + t^8.85/(g1^10*g2^3*g3^3) + (g3^4*t^8.85)/(g1^10*g2^10) + t^8.87/(g1^16*g2^16*g3^16) + (g1^20*t^8.98)/(g2*g3) + (g1^3*g2^17*t^8.99)/g3^4 + (g1^3*g3^17*t^8.99)/g2^4 - t^4.11/(g1^2*g2^2*g3^2*y) - t^6.33/(g1^6*g2^6*g3^6*y) - t^6.65/(g1^9*g2^2*g3^9*y) - t^6.65/(g1^9*g2^9*g3^2*y) + (g1^5*g2^5*t^7.57)/(g3^2*y) + (g1^5*g3^5*t^7.57)/(g2^2*y) + t^7.75/(g1^11*g2^4*g3^11*y) + t^7.75/(g1^11*g2^11*g3^4*y) + (g1^2*g2^2*g3^2*t^7.89)/y + t^8.07/(g1^14*g2^7*g3^7*y) + (g2^3*g3^3*t^8.53)/(g1^4*y) - t^8.55/(g1^10*g2^10*g3^10*y) + (g2^7*t^8.85)/(g1^7*y) + (g3^7*t^8.85)/(g1^7*y) - t^8.86/(g1^13*g2^6*g3^13*y) - t^8.86/(g1^13*g2^13*g3^6*y) - (t^4.11*y)/(g1^2*g2^2*g3^2) - (t^6.33*y)/(g1^6*g2^6*g3^6) - (t^6.65*y)/(g1^9*g2^2*g3^9) - (t^6.65*y)/(g1^9*g2^9*g3^2) + (g1^5*g2^5*t^7.57*y)/g3^2 + (g1^5*g3^5*t^7.57*y)/g2^2 + (t^7.75*y)/(g1^11*g2^4*g3^11) + (t^7.75*y)/(g1^11*g2^11*g3^4) + g1^2*g2^2*g3^2*t^7.89*y + (t^8.07*y)/(g1^14*g2^7*g3^7) + (g2^3*g3^3*t^8.53*y)/g1^4 - (t^8.55*y)/(g1^10*g2^10*g3^10) + (g2^7*t^8.85*y)/g1^7 + (g3^7*t^8.85*y)/g1^7 - (t^8.86*y)/(g1^13*g2^6*g3^13) - (t^8.86*y)/(g1^13*g2^13*g3^6)


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
107 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ 0.7047 0.8479 0.8312 [X:[], M:[0.8283, 0.8283, 0.8283], q:[0.8225, 0.5858], qb:[0.5858, 0.5858], phi:[0.355]] t^2.13 + 3*t^2.48 + 3*t^4.23 + t^4.26 + 6*t^4.58 + 3*t^4.61 + 6*t^4.97 - 9*t^6. - t^4.06/y - t^4.06*y detail
104 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ 0.4925 0.5698 0.8643 [X:[1.5254], M:[0.7119, 0.7119], q:[0.8813, 0.4067], qb:[0.8813, 0.8813], phi:[0.2373]] 2*t^2.14 + t^3.15 + t^3.86 + 3*t^4.27 + t^4.58 + 2*t^5.29 - 2*t^6. - t^3.71/y - (2*t^5.85)/y - t^3.71*y - 2*t^5.85*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
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