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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
45993 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ 0.6106 0.7847 0.7781 [X:[], M:[0.972, 0.7842, 1.028], q:[0.743, 0.285], qb:[0.4729, 0.4431], phi:[0.514]] [X:[], M:[[4, 4], [-13, -1], [-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
$q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_3$, $ M_2\phi_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1q_2^2$, $ q_1q_2\tilde{q}_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ $2\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ -1 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^6.08 + 2*t^6.17 + t^6.31 + 2*t^6.34 + t^6.38 + t^6.47 + t^6.5 + 2*t^6.55 + t^6.56 + 2*t^6.64 + t^6.65 + t^6.72 + 2*t^6.81 + t^6.82 + t^6.89 + t^6.9 + t^6.95 + t^6.98 + t^7.04 + t^7.06 + t^7.12 + t^7.13 + 3*t^7.28 + t^7.37 + 3*t^7.45 + t^7.46 + 2*t^7.62 + 2*t^7.63 + t^7.68 + t^7.71 + t^7.76 + t^7.77 + 2*t^7.79 + t^7.85 + 2*t^7.93 + t^7.96 + t^8.02 + t^8.1 + t^8.11 - t^8.18 + t^8.19 + t^8.24 + t^8.26 - 3*t^8.27 + t^8.4 + t^8.43 + t^8.44 + 2*t^8.49 + 2*t^8.52 + t^8.57 + 3*t^8.58 + t^8.66 + t^8.67 + 2*t^8.69 + 2*t^8.74 - 2*t^8.75 + t^8.76 + 2*t^8.83 + t^8.86 + 2*t^8.91 + t^8.93 + t^8.99 - t^4.54/y - t^6.89/y + (2*t^7.46)/y + t^7.54/y + t^7.93/y + t^8.02/y + t^8.1/y + t^8.19/y + (2*t^8.27)/y + (2*t^8.36)/y + (3*t^8.44)/y + t^8.53/y + t^8.6/y + t^8.74/y + (3*t^8.83)/y + (2*t^8.91)/y - t^4.54*y - t^6.89*y + 2*t^7.46*y + t^7.54*y + t^7.93*y + t^8.02*y + t^8.1*y + t^8.19*y + 2*t^8.27*y + 2*t^8.36*y + 3*t^8.44*y + t^8.53*y + t^8.6*y + t^8.74*y + 3*t^8.83*y + 2*t^8.91*y (g2^7*t^2.18)/g1^5 + (g1^7*t^2.27)/g2^5 + t^2.35/(g1^13*g2) + g1^12*g2^12*t^2.75 + (2*t^3.08)/(g1^4*g2^4) + t^3.25/(g1^12*g2^12) + g1*g2^13*t^3.56 + (g2^5*t^3.73)/g1^7 + (g1^5*t^3.82)/g2^7 + (g2^22*t^4.2)/g1^2 + g1^10*g2^10*t^4.29 + (g2^14*t^4.37)/g1^10 + (g1^22*t^4.38)/g2^2 + g1^2*g2^2*t^4.46 + (g2^6*t^4.54)/g1^18 + (g1^14*t^4.55)/g2^10 + t^4.63/(g1^6*g2^6) + t^4.7/(g1^26*g2^2) + g1^7*g2^19*t^4.93 + g1^19*g2^7*t^5.02 + (g2^11*t^5.1)/g1 + (2*g2^3*t^5.27)/g1^9 + (2*g1^3*t^5.36)/g2^9 + (2*t^5.44)/(g1^17*g2^5) + g1^24*g2^24*t^5.5 + t^5.6/(g1^25*g2^13) + (g2^20*t^5.74)/g1^4 + 2*g1^8*g2^8*t^5.83 + (g2^12*t^5.91)/g1^12 - t^6. + (g2^4*t^6.08)/g1^20 + (2*t^6.17)/(g1^8*g2^8) + g1^13*g2^25*t^6.31 + (2*t^6.34)/(g1^16*g2^16) + (g2^29*t^6.38)/g1^7 + g1^5*g2^17*t^6.47 + t^6.5/(g1^24*g2^24) + (2*g2^21*t^6.55)/g1^15 + g1^17*g2^5*t^6.56 + (2*g2^9*t^6.64)/g1^3 + (g1^29*t^6.65)/g2^7 + (g2^13*t^6.72)/g1^23 + (2*g2*t^6.81)/g1^11 + (g1^21*t^6.82)/g2^15 + (g2^5*t^6.89)/g1^31 + (g1*t^6.9)/g2^11 + g1^10*g2^34*t^6.95 + t^6.98/(g1^19*g2^7) + g1^22*g2^22*t^7.04 + t^7.06/(g1^39*g2^3) + g1^2*g2^26*t^7.12 + g1^34*g2^10*t^7.13 + (3*g2^18*t^7.28)/g1^6 + g1^6*g2^6*t^7.37 + (3*g2^10*t^7.45)/g1^14 + (g1^18*t^7.46)/g2^6 + (2*g2^2*t^7.62)/g1^22 + (2*g1^10*t^7.63)/g2^14 + g1^19*g2^31*t^7.68 + t^7.71/(g1^10*g2^10) + (g2^35*t^7.76)/g1 + g1^31*g2^19*t^7.77 + (2*t^7.79)/(g1^30*g2^6) + g1^11*g2^23*t^7.85 + (2*g2^27*t^7.93)/g1^9 + t^7.96/(g1^38*g2^14) + g1^3*g2^15*t^8.02 + (g2^19*t^8.1)/g1^17 + g1^15*g2^3*t^8.11 - (g2^7*t^8.18)/g1^5 + (g1^27*t^8.19)/g2^9 + g1^36*g2^36*t^8.24 + (g2^11*t^8.26)/g1^25 - (3*g1^7*t^8.27)/g2^5 + (g2^44*t^8.4)/g1^4 + (g2^3*t^8.43)/g1^33 + t^8.44/(g1*g2^13) + 2*g1^8*g2^32*t^8.49 + (2*t^8.52)/(g1^21*g2^9) + (g2^36*t^8.57)/g1^12 + 3*g1^20*g2^20*t^8.58 + g2^24*t^8.66 + g1^32*g2^8*t^8.67 + (2*t^8.69)/(g1^29*g2^17) + (2*g2^28*t^8.74)/g1^20 - 2*g1^12*g2^12*t^8.75 + (g1^44*t^8.76)/g2^4 + (2*g2^16*t^8.83)/g1^8 + t^8.86/(g1^37*g2^25) + (2*g2^20*t^8.91)/g1^28 + (g1^36*t^8.93)/g2^12 + (g2^8*t^8.99)/g1^16 - t^4.54/(g1^2*g2^2*y) - t^6.89/(g1^15*g2^3*y) + (2*g1^2*g2^2*t^7.46)/y + (g2^6*t^7.54)/(g1^18*y) + (g1^7*g2^19*t^7.93)/y + (g1^19*g2^7*t^8.02)/y + (g2^11*t^8.1)/(g1*y) + (g1^11*t^8.19)/(g2*y) + (2*g2^3*t^8.27)/(g1^9*y) + (2*g1^3*t^8.36)/(g2^9*y) + (3*t^8.44)/(g1^17*g2^5*y) + t^8.53/(g1^5*g2^17*y) + t^8.6/(g1^25*g2^13*y) + (g2^20*t^8.74)/(g1^4*y) + (3*g1^8*g2^8*t^8.83)/y + (2*g2^12*t^8.91)/(g1^12*y) - (t^4.54*y)/(g1^2*g2^2) - (t^6.89*y)/(g1^15*g2^3) + 2*g1^2*g2^2*t^7.46*y + (g2^6*t^7.54*y)/g1^18 + g1^7*g2^19*t^7.93*y + g1^19*g2^7*t^8.02*y + (g2^11*t^8.1*y)/g1 + (g1^11*t^8.19*y)/g2 + (2*g2^3*t^8.27*y)/g1^9 + (2*g1^3*t^8.36*y)/g2^9 + (3*t^8.44*y)/(g1^17*g2^5) + (t^8.53*y)/(g1^5*g2^17) + (t^8.6*y)/(g1^25*g2^13) + (g2^20*t^8.74*y)/g1^4 + 3*g1^8*g2^8*t^8.83*y + (2*g2^12*t^8.91*y)/g1^12


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
46080 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ 0.6305 0.8225 0.7665 [X:[], M:[0.9712, 0.7784, 1.0288, 0.7209], q:[0.7428, 0.286], qb:[0.4788, 0.4349], phi:[0.5144]] 2*t^2.16 + t^2.29 + t^2.34 + t^2.74 + 2*t^3.09 + t^3.26 + t^3.53 + t^3.71 + t^4.15 + t^4.28 + 3*t^4.33 + t^4.42 + 2*t^4.46 + 2*t^4.5 + t^4.59 + t^4.63 + t^4.67 + 2*t^4.9 + t^5.04 + t^5.08 + 4*t^5.25 + 2*t^5.38 + 3*t^5.42 + t^5.48 + t^5.59 + 2*t^5.7 + 2*t^5.83 + 2*t^5.87 - 2*t^6. - t^4.54/y - t^4.54*y detail
46203 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ q_2\tilde{q}_1\tilde{q}_2^2$ 0.5568 0.7209 0.7723 [X:[], M:[1.0504, 0.7481, 0.9496], q:[0.7626, 0.187], qb:[0.4893, 0.6618], phi:[0.4748]] t^2.03 + t^2.24 + 2*t^2.55 + 2*t^2.85 + 2*t^3.45 + t^3.97 + t^4.06 + 2*t^4.27 + t^4.36 + t^4.49 + t^4.58 + 2*t^4.79 + 3*t^4.88 + 4*t^5.09 + 5*t^5.4 + t^5.48 + 3*t^5.7 - t^4.42/y - t^4.42*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
45895 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ 0.6135 0.7901 0.7764 [X:[], M:[0.9652, 0.7952], q:[0.7413, 0.2934], qb:[0.4635, 0.4322], phi:[0.5174]] t^2.18 + t^2.27 + t^2.39 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + t^3.52 + t^3.73 + t^3.82 + t^4.15 + t^4.24 + t^4.33 + t^4.35 + t^4.45 + t^4.54 + t^4.56 + t^4.66 + t^4.77 + t^4.86 + t^4.96 + 2*t^5.07 + t^5.17 + 2*t^5.28 + t^5.37 + t^5.38 + t^5.49 + t^5.58 + 2*t^5.7 + 2*t^5.79 + t^5.91 - t^4.55/y - t^4.55*y detail