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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
216 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ 0.5911 0.7501 0.788 [X:[], M:[0.9703, 1.0891, 0.9703], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]] [X:[], M:[[4, 4], [-12, -12], [4, 4]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ $\phi_1q_2^2\tilde{q}_1^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ -2 2*t^2.23 + 2*t^2.91 + 2*t^3.27 + 2*t^3.59 + 2*t^3.77 + 3*t^4.28 + 3*t^4.46 + 4*t^5.14 + 2*t^5.49 + 6*t^5.82 - 2*t^6. + 2*t^6.18 + 6*t^6.51 + 3*t^6.53 + 4*t^6.68 + 2*t^7.04 + 6*t^7.19 + 5*t^7.37 + t^7.54 + 2*t^7.72 + 4*t^7.87 + 10*t^8.05 - 6*t^8.23 + 5*t^8.55 + 11*t^8.73 + 2*t^8.76 - 6*t^8.91 - t^4.54/y + t^7.28/y + t^7.63/y - t^7.81/y + (4*t^8.14)/y + (4*t^8.49)/y + (5*t^8.82)/y - t^4.54*y + t^7.28*y + t^7.63*y - t^7.81*y + 4*t^8.14*y + 4*t^8.49*y + 5*t^8.82*y (g1^7*t^2.23)/g2^5 + (g2^7*t^2.23)/g1^5 + 2*g1^4*g2^4*t^2.91 + (2*t^3.27)/(g1^12*g2^12) + g1^13*g2*t^3.59 + g1*g2^13*t^3.59 + (g1^5*t^3.77)/g2^7 + (g2^5*t^3.77)/g1^7 + (g1^22*t^4.28)/g2^2 + g1^10*g2^10*t^4.28 + (g2^22*t^4.28)/g1^2 + (g1^14*t^4.46)/g2^10 + g1^2*g2^2*t^4.46 + (g2^14*t^4.46)/g1^10 + (2*g1^11*t^5.14)/g2 + (2*g2^11*t^5.14)/g1 + t^5.49/(g1^5*g2^17) + t^5.49/(g1^17*g2^5) + (g1^20*t^5.82)/g2^4 + 4*g1^8*g2^8*t^5.82 + (g2^20*t^5.82)/g1^4 - 2*t^6. + (2*t^6.18)/(g1^8*g2^8) + (g1^29*t^6.51)/g2^7 + 2*g1^17*g2^5*t^6.51 + 2*g1^5*g2^17*t^6.51 + (g2^29*t^6.51)/g1^7 + (3*t^6.53)/(g1^24*g2^24) + (g1^21*t^6.68)/g2^15 + (g1^9*t^6.68)/g2^3 + (g2^9*t^6.68)/g1^3 + (g2^21*t^6.68)/g1^15 + t^7.04/(g1^7*g2^19) + t^7.04/(g1^19*g2^7) + 2*g1^26*g2^2*t^7.19 + 2*g1^14*g2^14*t^7.19 + 2*g1^2*g2^26*t^7.19 + (2*g1^18*t^7.37)/g2^6 + g1^6*g2^6*t^7.37 + (2*g2^18*t^7.37)/g1^6 + (g1^10*t^7.54)/g2^14 - t^7.54/(g1^2*g2^2) + (g2^10*t^7.54)/g1^14 + (g1^2*t^7.72)/g2^22 + (g2^2*t^7.72)/g1^22 + (g1^35*t^7.87)/g2 + g1^23*g2^11*t^7.87 + g1^11*g2^23*t^7.87 + (g2^35*t^7.87)/g1 + (2*g1^27*t^8.05)/g2^9 + 3*g1^15*g2^3*t^8.05 + 3*g1^3*g2^15*t^8.05 + (2*g2^27*t^8.05)/g1^9 - (3*g1^7*t^8.23)/g2^5 - (3*g2^7*t^8.23)/g1^5 + (g1^44*t^8.55)/g2^4 + g1^32*g2^8*t^8.55 + g1^20*g2^20*t^8.55 + g1^8*g2^32*t^8.55 + (g2^44*t^8.55)/g1^4 + 2*g1^24*t^8.73 + (g1^36*t^8.73)/g2^12 + 5*g1^12*g2^12*t^8.73 + 2*g2^24*t^8.73 + (g2^36*t^8.73)/g1^12 + t^8.76/(g1^17*g2^29) + t^8.76/(g1^29*g2^17) + (g1^28*t^8.91)/g2^20 - (g1^16*t^8.91)/g2^8 - 6*g1^4*g2^4*t^8.91 - (g2^16*t^8.91)/g1^8 + (g2^28*t^8.91)/g1^20 - t^4.54/(g1^2*g2^2*y) + (g1^10*g2^10*t^7.28)/y + t^7.63/(g1^6*g2^6*y) - t^7.81/(g1^14*g2^14*y) + (2*g1^11*t^8.14)/(g2*y) + (2*g2^11*t^8.14)/(g1*y) + (2*t^8.49)/(g1^5*g2^17*y) + (2*t^8.49)/(g1^17*g2^5*y) + (g1^20*t^8.82)/(g2^4*y) + (3*g1^8*g2^8*t^8.82)/y + (g2^20*t^8.82)/(g1^4*y) - (t^4.54*y)/(g1^2*g2^2) + g1^10*g2^10*t^7.28*y + (t^7.63*y)/(g1^6*g2^6) - (t^7.81*y)/(g1^14*g2^14) + (2*g1^11*t^8.14*y)/g2 + (2*g2^11*t^8.14*y)/g1 + (2*t^8.49*y)/(g1^5*g2^17) + (2*t^8.49*y)/(g1^17*g2^5) + (g1^20*t^8.82*y)/g2^4 + 3*g1^8*g2^8*t^8.82*y + (g2^20*t^8.82*y)/g1^4


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
345 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ 0.6019 0.7721 0.7795 [X:[], M:[0.9502, 1.1494, 0.9502, 0.8506], q:[0.7376, 0.3122], qb:[0.4253, 0.4253], phi:[0.5249]] 2*t^2.21 + t^2.55 + 2*t^2.85 + t^3.45 + 2*t^3.49 + 2*t^3.79 + 3*t^4.13 + 3*t^4.43 + 2*t^4.76 + 4*t^5.06 + t^5.1 + 2*t^5.4 + 6*t^5.7 - t^6. - t^4.57/y - t^4.57*y detail
346 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ 0.6106 0.7864 0.7765 [X:[], M:[0.9696, 1.0912, 0.9696, 0.7332], q:[0.7424, 0.288], qb:[0.4636, 0.4453], phi:[0.5152]] 2*t^2.2 + t^2.25 + 2*t^2.91 + 2*t^3.27 + t^3.56 + t^3.62 + t^3.75 + t^4.22 + t^4.27 + t^4.33 + 3*t^4.4 + 2*t^4.45 + t^4.51 + 4*t^5.11 + 2*t^5.16 + 3*t^5.47 + t^5.53 + 2*t^5.76 + 5*t^5.82 + t^5.87 + t^5.95 - 3*t^6. - t^4.55/y - t^4.55*y detail
1734 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_1$ 0.6083 0.7807 0.7792 [X:[], M:[0.9781, 1.0657, 0.9781, 0.7742], q:[0.7445, 0.2774], qb:[0.4812, 0.453], phi:[0.511]] t^2.19 + t^2.28 + t^2.32 + 2*t^2.93 + 2*t^3.2 + t^3.59 + t^3.72 + t^3.81 + t^4.25 + t^4.34 + t^4.38 + t^4.42 + t^4.47 + t^4.51 + t^4.55 + t^4.6 + t^4.65 + 2*t^5.13 + 2*t^5.21 + 2*t^5.26 + t^5.39 + t^5.47 + 2*t^5.52 + t^5.78 + 3*t^5.87 + t^5.92 - 2*t^6. - t^4.53/y - t^4.53*y detail
1736 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ q_1q_2\tilde{q}_1^2$ 0.5899 0.7482 0.7884 [X:[], M:[0.9775, 1.0674, 0.9775], q:[0.7444, 0.2781], qb:[0.4888, 0.4438], phi:[0.5112]] t^2.17 + t^2.3 + 2*t^2.93 + 2*t^3.2 + t^3.56 + 2*t^3.7 + t^3.83 + t^4.2 + 2*t^4.33 + 2*t^4.47 + t^4.6 + 2*t^5.1 + 2*t^5.23 + t^5.37 + t^5.5 + t^5.73 + 4*t^5.87 - t^6. - t^4.53/y - t^4.53*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
131 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ 0.5887 0.7456 0.7895 [X:[], M:[0.9784, 1.0648], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]] 2*t^2.23 + t^2.94 + t^3.06 + 2*t^3.19 + 2*t^3.64 + 2*t^3.77 + 3*t^4.34 + 3*t^4.47 + 2*t^5.17 + 2*t^5.3 + 2*t^5.43 + 4*t^5.87 - t^6. - t^4.53/y - t^4.53*y detail