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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
46122 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ 0.625 0.8125 0.7692 [X:[], M:[0.9507, 0.8203, 0.8521], q:[0.7377, 0.3116], qb:[0.442, 0.4102], phi:[0.5246]] [X:[], M:[[-4], [26], [-12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ \phi_1q_2^2$, $ \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$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1^2$, $ M_3\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$ $2\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ 1 t^2.17 + t^2.26 + t^2.46 + 2*t^2.56 + t^2.85 + t^3.15 + t^3.44 + t^3.74 + t^3.83 + t^4.03 + t^4.13 + t^4.23 + t^4.33 + t^4.43 + t^4.52 + t^4.63 + 3*t^4.72 + 2*t^4.82 + t^4.92 + 3*t^5.02 + 4*t^5.11 + 2*t^5.31 + 3*t^5.41 + t^5.61 + 2*t^5.7 + t^5.9 + t^6. + 2*t^6.2 + 3*t^6.3 + 2*t^6.39 + t^6.49 + 2*t^6.5 + 4*t^6.59 + 3*t^6.69 + 3*t^6.78 + t^6.79 + 3*t^6.89 + 2*t^6.98 + 2*t^7.08 + t^7.09 + 4*t^7.18 + 4*t^7.28 + 4*t^7.37 + t^7.38 + 4*t^7.48 + 4*t^7.57 + 6*t^7.67 + 3*t^7.77 + 3*t^7.87 + 4*t^7.97 + t^8.06 + 2*t^8.07 + t^8.17 + 2*t^8.26 + t^8.36 + 2*t^8.37 + t^8.45 - t^8.56 + 3*t^8.66 + t^8.75 + 4*t^8.76 + t^8.85 + 3*t^8.95 + 2*t^8.96 - t^4.57/y - t^7.03/y - t^7.13/y + t^7.43/y + t^7.63/y + (3*t^7.72)/y + (2*t^7.82)/y + (4*t^8.02)/y + (3*t^8.11)/y + (2*t^8.31)/y + (3*t^8.41)/y + (2*t^8.61)/y + (3*t^8.7)/y + (2*t^8.9)/y - t^4.57*y - t^7.03*y - t^7.13*y + t^7.43*y + t^7.63*y + 3*t^7.72*y + 2*t^7.82*y + 4*t^8.02*y + 3*t^8.11*y + 2*t^8.31*y + 3*t^8.41*y + 2*t^8.61*y + 3*t^8.7*y + 2*t^8.9*y g1^18*t^2.17 + t^2.26/g1^20 + g1^26*t^2.46 + (2*t^2.56)/g1^12 + t^2.85/g1^4 + g1^4*t^3.15 + g1^12*t^3.44 + g1^20*t^3.74 + t^3.83/g1^18 + g1^28*t^4.03 + t^4.13/g1^10 + t^4.23/g1^48 + g1^36*t^4.33 + t^4.43/g1^2 + t^4.52/g1^40 + g1^44*t^4.63 + 3*g1^6*t^4.72 + (2*t^4.82)/g1^32 + g1^52*t^4.92 + 3*g1^14*t^5.02 + (4*t^5.11)/g1^24 + 2*g1^22*t^5.31 + (3*t^5.41)/g1^16 + g1^30*t^5.61 + (2*t^5.7)/g1^8 + g1^38*t^5.9 + t^6. + 2*g1^46*t^6.2 + 3*g1^8*t^6.3 + (2*t^6.39)/g1^30 + t^6.49/g1^68 + 2*g1^54*t^6.5 + 4*g1^16*t^6.59 + (3*t^6.69)/g1^22 + (3*t^6.78)/g1^60 + g1^62*t^6.79 + 3*g1^24*t^6.89 + (2*t^6.98)/g1^14 + (2*t^7.08)/g1^52 + g1^70*t^7.09 + 4*g1^32*t^7.18 + (4*t^7.28)/g1^6 + (4*t^7.37)/g1^44 + g1^78*t^7.38 + 4*g1^40*t^7.48 + 4*g1^2*t^7.57 + (6*t^7.67)/g1^36 + 3*g1^48*t^7.77 + 3*g1^10*t^7.87 + (4*t^7.97)/g1^28 + t^8.06/g1^66 + 2*g1^56*t^8.07 + g1^18*t^8.17 + (2*t^8.26)/g1^20 + t^8.36/g1^58 + 2*g1^64*t^8.37 + t^8.45/g1^96 - t^8.56/g1^12 + 3*g1^72*t^8.66 + t^8.75/g1^88 + 4*g1^34*t^8.76 + t^8.85/g1^4 + (3*t^8.95)/g1^42 + 2*g1^80*t^8.96 - (g1^2*t^4.57)/y - (g1^28*t^7.03)/y - t^7.13/(g1^10*y) + t^7.43/(g1^2*y) + (g1^44*t^7.63)/y + (3*g1^6*t^7.72)/y + (2*t^7.82)/(g1^32*y) + (4*g1^14*t^8.02)/y + (3*t^8.11)/(g1^24*y) + (2*g1^22*t^8.31)/y + (3*t^8.41)/(g1^16*y) + (2*g1^30*t^8.61)/y + (3*t^8.7)/(g1^8*y) + (2*g1^38*t^8.9)/y - g1^2*t^4.57*y - g1^28*t^7.03*y - (t^7.13*y)/g1^10 + (t^7.43*y)/g1^2 + g1^44*t^7.63*y + 3*g1^6*t^7.72*y + (2*t^7.82*y)/g1^32 + 4*g1^14*t^8.02*y + (3*t^8.11*y)/g1^24 + 2*g1^22*t^8.31*y + (3*t^8.41*y)/g1^16 + 2*g1^30*t^8.61*y + (3*t^8.7*y)/g1^8 + 2*g1^38*t^8.9*y


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
46484 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_1M_4$ 0.6204 0.8049 0.7708 [X:[], M:[0.9515, 0.8151, 0.8546, 1.0485], q:[0.7379, 0.3106], qb:[0.447, 0.4076], phi:[0.5242]] t^2.15 + t^2.27 + t^2.45 + 2*t^2.56 + 2*t^3.15 + t^3.44 + t^3.73 + t^3.85 + t^4.02 + t^4.14 + t^4.25 + t^4.31 + t^4.43 + t^4.55 + t^4.6 + 3*t^4.72 + 2*t^4.84 + t^4.89 + 2*t^5.01 + 3*t^5.13 + 2*t^5.3 + 2*t^5.42 + 2*t^5.59 + 3*t^5.71 + t^5.88 - t^4.57/y - t^4.57*y detail
46478 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_2\tilde{q}_1$ 0.6451 0.8502 0.7587 [X:[], M:[0.9518, 0.8136, 0.8553, 0.7171], q:[0.7379, 0.3103], qb:[0.4485, 0.4068], phi:[0.5241]] 2*t^2.15 + t^2.28 + t^2.44 + 2*t^2.57 + t^2.86 + t^3.14 + t^3.43 + t^3.72 + t^4.01 + t^4.14 + t^4.26 + 3*t^4.3 + 2*t^4.43 + t^4.55 + 2*t^4.59 + 5*t^4.72 + 2*t^4.84 + t^4.88 + 4*t^5.01 + 4*t^5.13 + 3*t^5.3 + 3*t^5.42 + 2*t^5.59 + 2*t^5.71 + 2*t^5.88 - t^4.57/y - t^4.57*y detail
46507 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_2^2$ 0.6381 0.8353 0.764 [X:[], M:[0.9488, 0.8329, 0.8463, 0.8463], q:[0.7372, 0.314], qb:[0.4299, 0.4165], phi:[0.5256]] t^2.19 + t^2.23 + t^2.5 + 3*t^2.54 + t^2.85 + t^3.15 + t^3.77 + t^3.81 + t^4.08 + t^4.12 + t^4.16 + t^4.38 + t^4.42 + t^4.46 + t^4.69 + 4*t^4.73 + 3*t^4.77 + t^5. + 4*t^5.04 + 7*t^5.08 + 2*t^5.35 + 4*t^5.39 + 2*t^5.69 - t^6. - t^4.58/y - t^4.58*y detail
46387 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ 0.6123 0.7909 0.7741 [X:[], M:[0.9527, 0.8072, 0.8582, 1.1418], q:[0.7382, 0.3091], qb:[0.4546, 0.4036], phi:[0.5236]] t^2.14 + t^2.29 + t^2.42 + t^2.57 + t^2.86 + t^3.14 + 2*t^3.43 + t^3.71 + t^3.86 + t^3.99 + t^4.15 + t^4.28 + t^4.3 + t^4.43 + t^4.56 + t^4.58 + 2*t^4.71 + t^4.84 + t^4.87 + 2*t^5. + 2*t^5.15 + 2*t^5.28 + 2*t^5.43 + 2*t^5.56 + 2*t^5.72 + 2*t^5.85 + t^6. - t^4.57/y - t^4.57*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
45983 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ 0.6293 0.8168 0.7704 [X:[], M:[0.9733, 0.7967, 0.7967], q:[0.7433, 0.2834], qb:[0.4599, 0.4599], phi:[0.5134]] 2*t^2.23 + 2*t^2.39 + t^2.76 + t^2.92 + t^3.08 + t^3.24 + 2*t^3.77 + 3*t^4.3 + 3*t^4.46 + 4*t^4.62 + 3*t^4.78 + 2*t^4.99 + 4*t^5.15 + 4*t^5.31 + 2*t^5.47 + t^5.52 + 2*t^5.63 + t^5.68 + t^5.84 - t^4.54/y - t^4.54*y detail