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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
343 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ 0.5939 0.7557 0.7859 [X:[], M:[0.9644, 1.1068, 1.0356, 0.8932], q:[0.7411, 0.2945], qb:[0.4466, 0.4466], phi:[0.5178]] [X:[], M:[[4, 4], [-12, -12], [-4, -4], [12, 12]], 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_4$, $ M_3$, $ \phi_1^2$, $ \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$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4^2$, $ q_1q_2\tilde{q}_1^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ $M_4\phi_1q_2^2$, $ \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$ -1 2*t^2.22 + t^2.68 + 2*t^3.11 + t^3.32 + 2*t^3.56 + 2*t^3.78 + 3*t^4.23 + 3*t^4.45 + 2*t^4.9 + 4*t^5.33 + t^5.36 + 5*t^5.79 - t^6. + t^6.21 + 2*t^6.24 + 2*t^6.43 + 4*t^6.46 + t^6.64 + 4*t^6.67 + 2*t^6.88 + 3*t^6.91 + 3*t^7.13 + 5*t^7.34 + 4*t^7.55 + 2*t^7.58 - t^7.77 + 4*t^7.8 + 8*t^8.01 + t^8.04 - 6*t^8.22 + 2*t^8.44 + 10*t^8.47 + 5*t^8.89 + 2*t^8.92 - t^4.55/y + (2*t^7.45)/y - t^7.66/y + (2*t^7.9)/y + (4*t^8.33)/y + (2*t^8.54)/y + (6*t^8.79)/y - t^4.55*y + 2*t^7.45*y - t^7.66*y + 2*t^7.9*y + 4*t^8.33*y + 2*t^8.54*y + 6*t^8.79*y (g1^7*t^2.22)/g2^5 + (g2^7*t^2.22)/g1^5 + g1^12*g2^12*t^2.68 + (2*t^3.11)/(g1^4*g2^4) + t^3.32/(g1^12*g2^12) + g1^13*g2*t^3.56 + g1*g2^13*t^3.56 + (g1^5*t^3.78)/g2^7 + (g2^5*t^3.78)/g1^7 + (g1^22*t^4.23)/g2^2 + g1^10*g2^10*t^4.23 + (g2^22*t^4.23)/g1^2 + (g1^14*t^4.45)/g2^10 + g1^2*g2^2*t^4.45 + (g2^14*t^4.45)/g1^10 + g1^19*g2^7*t^4.9 + g1^7*g2^19*t^4.9 + (2*g1^3*t^5.33)/g2^9 + (2*g2^3*t^5.33)/g1^9 + g1^24*g2^24*t^5.36 + (g1^20*t^5.79)/g2^4 + 3*g1^8*g2^8*t^5.79 + (g2^20*t^5.79)/g1^4 - t^6. + t^6.21/(g1^8*g2^8) + g1^25*g2^13*t^6.24 + g1^13*g2^25*t^6.24 + (2*t^6.43)/(g1^16*g2^16) + (g1^29*t^6.46)/g2^7 + g1^17*g2^5*t^6.46 + g1^5*g2^17*t^6.46 + (g2^29*t^6.46)/g1^7 + t^6.64/(g1^24*g2^24) + (g1^21*t^6.67)/g2^15 + (g1^9*t^6.67)/g2^3 + (g2^9*t^6.67)/g1^3 + (g2^21*t^6.67)/g1^15 + (g1*t^6.88)/g2^11 + (g2*t^6.88)/g1^11 + g1^34*g2^10*t^6.91 + g1^22*g2^22*t^6.91 + g1^10*g2^34*t^6.91 + g1^26*g2^2*t^7.13 + g1^14*g2^14*t^7.13 + g1^2*g2^26*t^7.13 + (2*g1^18*t^7.34)/g2^6 + g1^6*g2^6*t^7.34 + (2*g2^18*t^7.34)/g1^6 + (2*g1^10*t^7.55)/g2^14 + (2*g2^10*t^7.55)/g1^14 + g1^31*g2^19*t^7.58 + g1^19*g2^31*t^7.58 - t^7.77/(g1^10*g2^10) + (g1^35*t^7.8)/g2 + g1^23*g2^11*t^7.8 + g1^11*g2^23*t^7.8 + (g2^35*t^7.8)/g1 + (2*g1^27*t^8.01)/g2^9 + 2*g1^15*g2^3*t^8.01 + 2*g1^3*g2^15*t^8.01 + (2*g2^27*t^8.01)/g1^9 + g1^36*g2^36*t^8.04 - (3*g1^7*t^8.22)/g2^5 - (3*g2^7*t^8.22)/g1^5 + t^8.44/(g1*g2^13) + t^8.44/(g1^13*g2) + (g1^44*t^8.47)/g2^4 + 2*g1^32*g2^8*t^8.47 + 4*g1^20*g2^20*t^8.47 + 2*g1^8*g2^32*t^8.47 + (g2^44*t^8.47)/g1^4 + (g1^36*t^8.68)/g2^12 - 2*g1^12*g2^12*t^8.68 + (g2^36*t^8.68)/g1^12 + (g1^28*t^8.89)/g2^20 + (g1^16*t^8.89)/g2^8 + g1^4*g2^4*t^8.89 + (g2^16*t^8.89)/g1^8 + (g2^28*t^8.89)/g1^20 + g1^37*g2^25*t^8.92 + g1^25*g2^37*t^8.92 - t^4.55/(g1^2*g2^2*y) + (2*g1^2*g2^2*t^7.45)/y - t^7.66/(g1^6*g2^6*y) + (g1^19*g2^7*t^7.9)/y + (g1^7*g2^19*t^7.9)/y + (2*g1^3*t^8.33)/(g2^9*y) + (2*g2^3*t^8.33)/(g1^9*y) + t^8.54/(g1^5*g2^17*y) + t^8.54/(g1^17*g2^5*y) + (g1^20*t^8.79)/(g2^4*y) + (4*g1^8*g2^8*t^8.79)/y + (g2^20*t^8.79)/(g1^4*y) - (t^4.55*y)/(g1^2*g2^2) + 2*g1^2*g2^2*t^7.45*y - (t^7.66*y)/(g1^6*g2^6) + g1^19*g2^7*t^7.9*y + g1^7*g2^19*t^7.9*y + (2*g1^3*t^8.33*y)/g2^9 + (2*g2^3*t^8.33*y)/g1^9 + (t^8.54*y)/(g1^5*g2^17) + (t^8.54*y)/(g1^17*g2^5) + (g1^20*t^8.79*y)/g2^4 + 4*g1^8*g2^8*t^8.79*y + (g2^20*t^8.79*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
541 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ 0.6135 0.7921 0.7745 [X:[], M:[0.9638, 1.1086, 1.0362, 0.8914, 0.7321], q:[0.7409, 0.2953], qb:[0.4546, 0.4368], phi:[0.5181]] 2*t^2.2 + t^2.25 + t^2.67 + 2*t^3.11 + t^3.33 + t^3.53 + t^3.59 + t^3.75 + t^4.18 + t^4.23 + t^4.28 + 3*t^4.39 + 2*t^4.45 + t^4.5 + 2*t^4.87 + t^4.92 + 4*t^5.3 + t^5.35 + 2*t^5.36 + t^5.52 + 2*t^5.73 + 4*t^5.78 + t^5.84 + t^5.95 - 2*t^6. - t^4.55/y - t^4.55*y detail
1808 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_1$ 0.6106 0.7847 0.7781 [X:[], M:[0.972, 1.0841, 1.028, 0.9159, 0.7842], q:[0.743, 0.285], qb:[0.4729, 0.4431], phi:[0.514]] t^2.18 + t^2.27 + t^2.35 + t^2.75 + 2*t^3.08 + t^3.25 + t^3.56 + t^3.73 + t^3.82 + t^4.2 + t^4.29 + t^4.37 + t^4.38 + t^4.46 + t^4.54 + t^4.55 + t^4.63 + t^4.7 + t^4.93 + t^5.02 + t^5.1 + 2*t^5.27 + 2*t^5.36 + 2*t^5.44 + t^5.5 + t^5.6 + t^5.74 + 2*t^5.83 + t^5.91 - t^6. - t^4.54/y - t^4.54*y detail
1807 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ 0.5921 0.7527 0.7867 [X:[], M:[0.9726, 1.0823, 1.0274, 0.9177], q:[0.7431, 0.2843], qb:[0.4863, 0.4314], phi:[0.5137]] t^2.15 + t^2.31 + t^2.75 + 2*t^3.08 + t^3.25 + t^3.52 + 2*t^3.69 + t^3.85 + t^4.13 + 2*t^4.29 + 2*t^4.46 + t^4.62 + t^4.9 + t^5.06 + 2*t^5.23 + 2*t^5.39 + t^5.51 + t^5.67 + 3*t^5.84 - t^4.54/y - t^4.54*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
215 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ 0.587 0.7429 0.7902 [X:[], M:[0.9864, 1.0409, 1.0136], q:[0.7466, 0.267], qb:[0.4795, 0.4795], phi:[0.5068]] 2*t^2.24 + 2*t^3.04 + 2*t^3.12 + 2*t^3.68 + 2*t^3.76 + 3*t^4.4 + 3*t^4.48 + 4*t^5.28 + 2*t^5.36 + 3*t^5.92 - 2*t^6. - t^4.52/y - t^4.52*y detail