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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
55446 SU2adj1nf3 $\phi_1q_1q_2$ + $ \phi_1q_3^2$ 0.8279 0.9949 0.8321 [X:[], M:[], q:[0.7328, 0.7328, 0.7328], qb:[0.5547, 0.5547, 0.5547], phi:[0.5344]] [X:[], M:[], q:[[-1, 2, 2, 2], [1, 0, 0, 0], [0, 1, 1, 1]], qb:[[0, 5, 0, 0], [0, 0, 5, 0], [0, 0, 0, 5]], phi:[[0, -2, -2, -2]]] 4
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_3\tilde{q}_1$, $ q_2q_3$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2\tilde{q}_3$ . -12 t^3.21 + 3*t^3.33 + 9*t^3.86 + 3*t^4.4 + 6*t^4.93 - 12*t^6. + t^6.41 - 6*t^6.53 + 6*t^6.66 + 24*t^7.19 - 8*t^7.6 + 39*t^7.72 + 6*t^8.14 + 30*t^8.26 + 6*t^8.67 + 30*t^8.79 - t^4.6/y + t^7.4/y - t^7.81/y - t^4.6*y + t^7.4*y - t^7.81*y t^3.21/(g2^4*g3^4*g4^4) + g2^5*g3^5*t^3.33 + g2^5*g4^5*t^3.33 + g3^5*g4^5*t^3.33 + g1*g2^5*t^3.86 + g1*g3^5*t^3.86 + g2^6*g3*g4*t^3.86 + g2*g3^6*g4*t^3.86 + (g2^7*g3^2*g4^2*t^3.86)/g1 + (g2^2*g3^7*g4^2*t^3.86)/g1 + g1*g4^5*t^3.86 + g2*g3*g4^6*t^3.86 + (g2^2*g3^2*g4^7*t^3.86)/g1 + g1*g2*g3*g4*t^4.4 + g2^2*g3^2*g4^2*t^4.4 + (g2^3*g3^3*g4^3*t^4.4)/g1 + (g2^8*t^4.93)/(g3^2*g4^2) + (g2^3*g3^3*t^4.93)/g4^2 + (g3^8*t^4.93)/(g2^2*g4^2) + (g2^3*g4^3*t^4.93)/g3^2 + (g3^3*g4^3*t^4.93)/g2^2 + (g4^8*t^4.93)/(g2^2*g3^2) - 4*t^6. - (g2^5*t^6.)/g3^5 - (g3^5*t^6.)/g2^5 - (g2^5*t^6.)/g4^5 - (g3^5*t^6.)/g4^5 - (g1*t^6.)/(g2*g3*g4) - (g2*g3*g4*t^6.)/g1 - (g4^5*t^6.)/g2^5 - (g4^5*t^6.)/g3^5 + t^6.41/(g2^8*g3^8*g4^8) - (g1*t^6.53)/g2^5 - (g1*t^6.53)/g3^5 - (g1*t^6.53)/g4^5 - (g2^2*g3^2*t^6.53)/(g1*g4^3) - (g2^2*g4^2*t^6.53)/(g1*g3^3) - (g3^2*g4^2*t^6.53)/(g1*g2^3) + g2^10*g3^10*t^6.66 + g2^10*g3^5*g4^5*t^6.66 + g2^5*g3^10*g4^5*t^6.66 + g2^10*g4^10*t^6.66 + g2^5*g3^5*g4^10*t^6.66 + g3^10*g4^10*t^6.66 + g1*g2^10*g3^5*t^7.19 + g1*g2^5*g3^10*t^7.19 + g2^11*g3^6*g4*t^7.19 + g2^6*g3^11*g4*t^7.19 + (g2^12*g3^7*g4^2*t^7.19)/g1 + (g2^7*g3^12*g4^2*t^7.19)/g1 + g1*g2^10*g4^5*t^7.19 + 2*g1*g2^5*g3^5*g4^5*t^7.19 + g1*g3^10*g4^5*t^7.19 + g2^11*g3*g4^6*t^7.19 + 2*g2^6*g3^6*g4^6*t^7.19 + g2*g3^11*g4^6*t^7.19 + (g2^12*g3^2*g4^7*t^7.19)/g1 + (2*g2^7*g3^7*g4^7*t^7.19)/g1 + (g2^2*g3^12*g4^7*t^7.19)/g1 + g1*g2^5*g4^10*t^7.19 + g1*g3^5*g4^10*t^7.19 + g2^6*g3*g4^11*t^7.19 + g2*g3^6*g4^11*t^7.19 + (g2^7*g3^2*g4^12*t^7.19)/g1 + (g2^2*g3^7*g4^12*t^7.19)/g1 - (g2^3*t^7.6)/(g3^2*g4^7) - (g3^3*t^7.6)/(g2^2*g4^7) - (g2^3*t^7.6)/(g3^7*g4^2) - (2*t^7.6)/(g2^2*g3^2*g4^2) - (g3^3*t^7.6)/(g2^7*g4^2) - (g4^3*t^7.6)/(g2^2*g3^7) - (g4^3*t^7.6)/(g2^7*g3^2) + g1^2*g2^10*t^7.72 + g1^2*g2^5*g3^5*t^7.72 + g1^2*g3^10*t^7.72 + g1*g2^11*g3*g4*t^7.72 + 2*g1*g2^6*g3^6*g4*t^7.72 + g1*g2*g3^11*g4*t^7.72 + g2^12*g3^2*g4^2*t^7.72 + 2*g2^7*g3^7*g4^2*t^7.72 + g2^2*g3^12*g4^2*t^7.72 + (g2^13*g3^3*g4^3*t^7.72)/g1 + (2*g2^8*g3^8*g4^3*t^7.72)/g1 + (g2^3*g3^13*g4^3*t^7.72)/g1 + (g2^14*g3^4*g4^4*t^7.72)/g1^2 + (g2^9*g3^9*g4^4*t^7.72)/g1^2 + (g2^4*g3^14*g4^4*t^7.72)/g1^2 + g1^2*g2^5*g4^5*t^7.72 + g1^2*g3^5*g4^5*t^7.72 + 2*g1*g2^6*g3*g4^6*t^7.72 + 2*g1*g2*g3^6*g4^6*t^7.72 + 2*g2^7*g3^2*g4^7*t^7.72 + 2*g2^2*g3^7*g4^7*t^7.72 + (2*g2^8*g3^3*g4^8*t^7.72)/g1 + (2*g2^3*g3^8*g4^8*t^7.72)/g1 + (g2^9*g3^4*g4^9*t^7.72)/g1^2 + (g2^4*g3^9*g4^9*t^7.72)/g1^2 + g1^2*g4^10*t^7.72 + g1*g2*g3*g4^11*t^7.72 + g2^2*g3^2*g4^12*t^7.72 + (g2^3*g3^3*g4^13*t^7.72)/g1 + (g2^4*g3^4*g4^14*t^7.72)/g1^2 + (g2^4*t^8.14)/(g3^6*g4^6) + t^8.14/(g2*g3*g4^6) + (g3^4*t^8.14)/(g2^6*g4^6) + t^8.14/(g2*g3^6*g4) + t^8.14/(g2^6*g3*g4) + (g4^4*t^8.14)/(g2^6*g3^6) + (g2^13*g3^3*t^8.26)/g4^2 + (g2^8*g3^8*t^8.26)/g4^2 + (g2^3*g3^13*t^8.26)/g4^2 + g1^2*g2^6*g3*g4*t^8.26 + g1^2*g2*g3^6*g4*t^8.26 + g1*g2^7*g3^2*g4^2*t^8.26 + g1*g2^2*g3^7*g4^2*t^8.26 + (g2^13*g4^3*t^8.26)/g3^2 + 3*g2^8*g3^3*g4^3*t^8.26 + 3*g2^3*g3^8*g4^3*t^8.26 + (g3^13*g4^3*t^8.26)/g2^2 + (g2^9*g3^4*g4^4*t^8.26)/g1 + (g2^4*g3^9*g4^4*t^8.26)/g1 + (g2^10*g3^5*g4^5*t^8.26)/g1^2 + (g2^5*g3^10*g4^5*t^8.26)/g1^2 + g1^2*g2*g3*g4^6*t^8.26 + g1*g2^2*g3^2*g4^7*t^8.26 + (g2^8*g4^8*t^8.26)/g3^2 + 3*g2^3*g3^3*g4^8*t^8.26 + (g3^8*g4^8*t^8.26)/g2^2 + (g2^4*g3^4*g4^9*t^8.26)/g1 + (g2^5*g3^5*g4^10*t^8.26)/g1^2 + (g2^3*g4^13*t^8.26)/g3^2 + (g3^3*g4^13*t^8.26)/g2^2 + t^8.67/g2^10 + t^8.67/g3^10 + t^8.67/(g2^5*g3^5) + t^8.67/g4^10 + t^8.67/(g2^5*g4^5) + t^8.67/(g3^5*g4^5) + (g2^15*t^8.79)/g1 + (g2^10*g3^5*t^8.79)/g1 + (g2^5*g3^10*t^8.79)/g1 + (g3^15*t^8.79)/g1 + (g1*g2^13*t^8.79)/(g3^2*g4^2) + (g1*g2^8*g3^3*t^8.79)/g4^2 + (g1*g2^3*g3^8*t^8.79)/g4^2 + (g1*g3^13*t^8.79)/(g2^2*g4^2) + (g2^14*t^8.79)/(g3*g4) + (g2^9*g3^4*t^8.79)/g4 + (g2^4*g3^9*t^8.79)/g4 + (g3^14*t^8.79)/(g2*g4) + (g1*g2^8*g4^3*t^8.79)/g3^2 + g1*g2^3*g3^3*g4^3*t^8.79 + (g1*g3^8*g4^3*t^8.79)/g2^2 + (g2^9*g4^4*t^8.79)/g3 + g2^4*g3^4*g4^4*t^8.79 + (g3^9*g4^4*t^8.79)/g2 + (g2^10*g4^5*t^8.79)/g1 + (g2^5*g3^5*g4^5*t^8.79)/g1 + (g3^10*g4^5*t^8.79)/g1 + (g1*g2^3*g4^8*t^8.79)/g3^2 + (g1*g3^3*g4^8*t^8.79)/g2^2 + (g2^4*g4^9*t^8.79)/g3 + (g3^4*g4^9*t^8.79)/g2 + (g2^5*g4^10*t^8.79)/g1 + (g3^5*g4^10*t^8.79)/g1 + (g1*g4^13*t^8.79)/(g2^2*g3^2) + (g4^14*t^8.79)/(g2*g3) + (g4^15*t^8.79)/g1 - t^4.6/(g2^2*g3^2*g4^2*y) + (g2^2*g3^2*g4^2*t^7.4)/y - t^7.81/(g2^6*g3^6*g4^6*y) - (t^4.6*y)/(g2^2*g3^2*g4^2) + g2^2*g3^2*g4^2*t^7.4*y - (t^7.81*y)/(g2^6*g3^6*g4^6)


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
55658 $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ M_1q_3\tilde{q}_1$ 0.8483 1.0329 0.8213 [X:[], M:[0.6996], q:[0.7347, 0.7347, 0.7347], qb:[0.5657, 0.5539, 0.5539], phi:[0.5306]] t^2.1 + t^3.18 + t^3.32 + 2*t^3.36 + 6*t^3.87 + 2*t^3.9 + t^4.2 + 3*t^4.41 + 3*t^4.92 + 2*t^4.95 + t^4.99 + t^5.28 + t^5.42 + 2*t^5.46 + 4*t^5.96 - 6*t^6. - t^4.59/y - t^4.59*y detail
55691 $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ M_1\tilde{q}_1\tilde{q}_2$ 0.8404 1.0122 0.8302 [X:[], M:[0.828], q:[0.7423, 0.7423, 0.7423], qb:[0.586, 0.586, 0.5394], phi:[0.5154]] t^2.48 + t^3.09 + 2*t^3.38 + 3*t^3.85 + 6*t^3.98 + 3*t^4.45 + t^4.78 + 2*t^4.92 + t^4.97 + 3*t^5.06 + t^5.58 - 8*t^6. - t^4.55/y - t^4.55*y detail
55656 $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ q_2q_3$ 0.665 0.79 0.8418 [X:[], M:[], q:[0.4, 1.2, 0.8], qb:[0.6667, 0.6667, 0.6667], phi:[0.4]] t^2.4 + 3*t^3.2 + t^3.6 + 3*t^4. + 3*t^4.4 + t^4.8 + 3*t^5.2 + 3*t^5.6 - 9*t^6. - t^4.2/y - t^4.2*y detail {a: 133/200, c: 79/100, q1: 2/5, q2: 6/5, q3: 4/5, qb1: 2/3, qb2: 2/3, qb3: 2/3, phi1: 2/5}
55675 $\phi_1q_1q_2$ + $ \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


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
55430 SU2adj1nf3 $\phi_1q_1q_2$ 0.8434 1.0148 0.831 [X:[], M:[], q:[0.7257, 0.7257, 0.5885], qb:[0.5885, 0.5885, 0.5885], phi:[0.5487]] t^3.29 + 6*t^3.53 + 8*t^3.94 + t^4.35 + 10*t^5.18 - 17*t^6. - t^4.65/y - t^4.65*y detail