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$a$ =

$c$ =

$\leq a \leq$

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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
65 SU2adj1nf2 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ 0.6643 0.7825 0.849 [X:[], M:[0.8927, 1.2048], q:[0.8012, 0.5537], qb:[0.5537, 0.501], phi:[0.3976]] [X:[], M:[[-7, -7, 0], [4, 4, 4]], 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
$M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$ . -5 t^2.68 + 2*t^3.16 + t^3.61 + t^3.91 + 2*t^4.06 + t^4.2 + 2*t^4.36 + 3*t^4.51 + t^5.36 - 5*t^6. - 2*t^6.16 + 3*t^6.33 - 2*t^6.45 + t^6.58 + 2*t^6.78 + t^6.88 - t^6.9 + 2*t^7.07 - t^7.19 + 4*t^7.23 - 2*t^7.35 + 2*t^7.36 + 4*t^7.52 + 6*t^7.68 + t^7.81 + 2*t^7.97 + t^8.03 + t^8.11 + 3*t^8.13 + 2*t^8.26 + t^8.4 + 3*t^8.42 + 2*t^8.56 + 4*t^8.58 - 2*t^8.68 + 2*t^8.71 + 2*t^8.87 + t^8.99 - t^4.19/y - t^6.87/y + t^7.51/y + (2*t^8.84)/y - t^4.19*y - t^6.87*y + t^7.51*y + 2*t^8.84*y t^2.68/(g1^7*g2^7) + g1^7*g3^7*t^3.16 + g2^7*g3^7*t^3.16 + g1^4*g2^4*g3^4*t^3.61 + g1*g2*g3^8*t^3.91 + g1^8*g2*g3*t^4.06 + g1*g2^8*g3*t^4.06 + (g3^12*t^4.2)/(g1^2*g2^2) + (g1^5*g3^5*t^4.36)/g2^2 + (g2^5*g3^5*t^4.36)/g1^2 + (g1^12*t^4.51)/(g2^2*g3^2) + (g1^5*g2^5*t^4.51)/g3^2 + (g2^12*t^4.51)/(g1^2*g3^2) + t^5.36/(g1^14*g2^14) - 3*t^6. - (g1^7*t^6.)/g2^7 - (g2^7*t^6.)/g1^7 - (g1^7*t^6.16)/g3^7 - (g2^7*t^6.16)/g3^7 + g1^14*g3^14*t^6.33 + g1^7*g2^7*g3^14*t^6.33 + g2^14*g3^14*t^6.33 - (g1^4*t^6.45)/(g2^3*g3^3) - (g2^4*t^6.45)/(g1^3*g3^3) + (g3^8*t^6.58)/(g1^6*g2^6) + g1^11*g2^4*g3^11*t^6.78 + g1^4*g2^11*g3^11*t^6.78 + (g3^12*t^6.88)/(g1^9*g2^9) - (g1*g2*t^6.9)/g3^6 + g1^8*g2*g3^15*t^7.07 + g1*g2^8*g3^15*t^7.07 - t^7.19/(g1^2*g2^2*g3^2) + g1^15*g2*g3^8*t^7.23 + 2*g1^8*g2^8*g3^8*t^7.23 + g1*g2^15*g3^8*t^7.23 - (g1^5*t^7.35)/(g2^2*g3^9) - (g2^5*t^7.35)/(g1^2*g3^9) + (g1^5*g3^19*t^7.36)/g2^2 + (g2^5*g3^19*t^7.36)/g1^2 + (g1^12*g3^12*t^7.52)/g2^2 + 2*g1^5*g2^5*g3^12*t^7.52 + (g2^12*g3^12*t^7.52)/g1^2 + (g1^19*g3^5*t^7.68)/g2^2 + 2*g1^12*g2^5*g3^5*t^7.68 + 2*g1^5*g2^12*g3^5*t^7.68 + (g2^19*g3^5*t^7.68)/g1^2 + g1^2*g2^2*g3^16*t^7.81 + g1^9*g2^2*g3^9*t^7.97 + g1^2*g2^9*g3^9*t^7.97 + t^8.03/(g1^21*g2^21) + (g3^20*t^8.11)/(g1*g2) + g1^16*g2^2*g3^2*t^8.13 + g1^9*g2^9*g3^2*t^8.13 + g1^2*g2^16*g3^2*t^8.13 + (g1^6*g3^13*t^8.26)/g2 + (g2^6*g3^13*t^8.26)/g1 + (g3^24*t^8.4)/(g1^4*g2^4) + (g1^13*g3^6*t^8.42)/g2 + g1^6*g2^6*g3^6*t^8.42 + (g2^13*g3^6*t^8.42)/g1 + (g1^3*g3^17*t^8.56)/g2^4 + (g2^3*g3^17*t^8.56)/g1^4 + (g1^20*t^8.58)/(g2*g3) + (g1^13*g2^6*t^8.58)/g3 + (g1^6*g2^13*t^8.58)/g3 + (g2^20*t^8.58)/(g1*g3) - (2*t^8.68)/(g1^7*g2^7) + (g1^10*g3^10*t^8.71)/g2^4 + (g2^10*g3^10*t^8.71)/g1^4 + (g1^17*g3^3*t^8.87)/g2^4 + (g2^17*g3^3*t^8.87)/g1^4 + t^8.99/g3^14 - t^4.19/(g1^2*g2^2*g3^2*y) - t^6.87/(g1^9*g2^9*g3^2*y) + (g1^5*g2^5*t^7.51)/(g3^2*y) + (g3^7*t^8.84)/(g1^7*y) + (g3^7*t^8.84)/(g2^7*y) - (t^4.19*y)/(g1^2*g2^2*g3^2) - (t^6.87*y)/(g1^9*g2^9*g3^2) + (g1^5*g2^5*t^7.51*y)/g3^2 + (g3^7*t^8.84*y)/g1^7 + (g3^7*t^8.84*y)/g2^7


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
100 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ 0.6732 0.7929 0.8491 [X:[], M:[0.8614, 1.2464, 0.8614], q:[0.8116, 0.596], qb:[0.5426, 0.5426], phi:[0.3768]] 2*t^2.58 + t^3.26 + t^3.74 + 2*t^4.06 + t^4.22 + 3*t^4.39 + 2*t^4.55 + t^4.71 + 3*t^5.17 - 5*t^6. - t^4.13/y - t^4.13*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