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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
5063 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ 0.6081 0.7779 0.7817 [X:[], M:[1.0076, 0.7024, 0.9924, 0.7175, 1.2825, 1.0076, 0.8398, 0.8702], q:[0.6412, 0.3512], qb:[0.3664, 0.9313], phi:[0.4275]] [X:[], M:[[14], [-22], [-14], [6], [-6], [14], [-32], [24]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ M_4$, $ M_7$, $ \phi_1^2$, $ M_8$, $ M_1$, $ M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_5$, $ M_2^2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_7$, $ M_4M_7$, $ M_2\phi_1^2$, $ M_2M_8$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_4M_8$, $ M_7^2$, $ M_7\phi_1^2$, $ M_1M_2$, $ M_2M_6$, $ M_7M_8$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4M_6$, $ M_8\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_8^2$, $ M_1M_7$, $ M_6M_7$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_1M_8$, $ M_6M_8$, $ M_2M_5$, $ M_7\phi_1q_2\tilde{q}_1$ $\phi_1^3q_2\tilde{q}_1$ -1 t^2.11 + t^2.15 + t^2.52 + t^2.56 + t^2.61 + 2*t^3.02 + t^3.44 + t^3.85 + t^4.21 + t^4.26 + t^4.31 + t^4.63 + 2*t^4.67 + 3*t^4.72 + t^4.76 + t^5.04 + t^5.08 + 4*t^5.13 + 3*t^5.18 + t^5.22 + 2*t^5.54 + 2*t^5.59 + 2*t^5.63 + t^5.95 - t^6. + 3*t^6.05 + t^6.32 + 2*t^6.37 + 2*t^6.46 + t^6.73 + 2*t^6.78 + 2*t^6.82 + 2*t^6.87 + t^7.15 + 2*t^7.19 + 5*t^7.24 + 4*t^7.28 + 3*t^7.33 + t^7.37 + t^7.56 + t^7.6 + 4*t^7.65 + 4*t^7.69 + 6*t^7.74 + 3*t^7.79 + t^7.83 + 2*t^8.06 - 2*t^8.11 + 3*t^8.15 + 3*t^8.2 + 2*t^8.24 + t^8.43 + 2*t^8.47 - 2*t^8.52 - t^8.61 + 3*t^8.66 + t^8.84 + 3*t^8.89 + t^8.93 - t^4.28/y - t^6.39/y - t^6.8/y - t^6.85/y - t^6.89/y + (2*t^7.26)/y - t^7.31/y + t^7.63/y + (3*t^7.67)/y + (3*t^7.72)/y + (2*t^7.76)/y + t^8.08/y + (3*t^8.13)/y + (4*t^8.18)/y - t^8.5/y + (3*t^8.54)/y + (3*t^8.59)/y + (2*t^8.63)/y - t^8.91/y + t^8.95/y - t^4.28*y - t^6.39*y - t^6.8*y - t^6.85*y - t^6.89*y + 2*t^7.26*y - t^7.31*y + t^7.63*y + 3*t^7.67*y + 3*t^7.72*y + 2*t^7.76*y + t^8.08*y + 3*t^8.13*y + 4*t^8.18*y - t^8.5*y + 3*t^8.54*y + 3*t^8.59*y + 2*t^8.63*y - t^8.91*y + t^8.95*y t^2.11/g1^22 + g1^6*t^2.15 + t^2.52/g1^32 + t^2.56/g1^4 + g1^24*t^2.61 + 2*g1^14*t^3.02 + g1^4*t^3.44 + t^3.85/g1^6 + t^4.21/g1^44 + t^4.26/g1^16 + g1^12*t^4.31 + t^4.63/g1^54 + (2*t^4.67)/g1^26 + 3*g1^2*t^4.72 + g1^30*t^4.76 + t^5.04/g1^64 + t^5.08/g1^36 + (4*t^5.13)/g1^8 + 3*g1^20*t^5.18 + g1^48*t^5.22 + (2*t^5.54)/g1^18 + 2*g1^10*t^5.59 + 2*g1^38*t^5.63 + t^5.95/g1^28 - t^6. + 3*g1^28*t^6.05 + t^6.32/g1^66 + (2*t^6.37)/g1^38 + 2*g1^18*t^6.46 + t^6.73/g1^76 + (2*t^6.78)/g1^48 + (2*t^6.82)/g1^20 + 2*g1^8*t^6.87 + t^7.15/g1^86 + (2*t^7.19)/g1^58 + (5*t^7.24)/g1^30 + (4*t^7.28)/g1^2 + 3*g1^26*t^7.33 + g1^54*t^7.37 + t^7.56/g1^96 + t^7.6/g1^68 + (4*t^7.65)/g1^40 + (4*t^7.69)/g1^12 + 6*g1^16*t^7.74 + 3*g1^44*t^7.79 + g1^72*t^7.83 + (2*t^8.06)/g1^50 - (2*t^8.11)/g1^22 + 3*g1^6*t^8.15 + 3*g1^34*t^8.2 + 2*g1^62*t^8.24 + t^8.43/g1^88 + (2*t^8.47)/g1^60 - (2*t^8.52)/g1^32 - g1^24*t^8.61 + 3*g1^52*t^8.66 + t^8.84/g1^98 + (3*t^8.89)/g1^70 + t^8.93/g1^42 - t^4.28/(g1^2*y) - t^6.39/(g1^24*y) - t^6.8/(g1^34*y) - t^6.85/(g1^6*y) - (g1^22*t^6.89)/y + (2*t^7.26)/(g1^16*y) - (g1^12*t^7.31)/y + t^7.63/(g1^54*y) + (3*t^7.67)/(g1^26*y) + (3*g1^2*t^7.72)/y + (2*g1^30*t^7.76)/y + t^8.08/(g1^36*y) + (3*t^8.13)/(g1^8*y) + (4*g1^20*t^8.18)/y - t^8.5/(g1^46*y) + (3*t^8.54)/(g1^18*y) + (3*g1^10*t^8.59)/y + (2*g1^38*t^8.63)/y - t^8.91/(g1^56*y) + t^8.95/(g1^28*y) - (t^4.28*y)/g1^2 - (t^6.39*y)/g1^24 - (t^6.8*y)/g1^34 - (t^6.85*y)/g1^6 - g1^22*t^6.89*y + (2*t^7.26*y)/g1^16 - g1^12*t^7.31*y + (t^7.63*y)/g1^54 + (3*t^7.67*y)/g1^26 + 3*g1^2*t^7.72*y + 2*g1^30*t^7.76*y + (t^8.08*y)/g1^36 + (3*t^8.13*y)/g1^8 + 4*g1^20*t^8.18*y - (t^8.5*y)/g1^46 + (3*t^8.54*y)/g1^18 + 3*g1^10*t^8.59*y + 2*g1^38*t^8.63*y - (t^8.91*y)/g1^56 + (t^8.95*y)/g1^28


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
6666 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ + $ M_5M_9$ 0.6282 0.8157 0.7702 [X:[], M:[1.0062, 0.7046, 0.9938, 0.7169, 1.2831, 1.0062, 0.843, 0.8677, 0.7169], q:[0.6415, 0.3523], qb:[0.3646, 0.9308], phi:[0.4277]] t^2.11 + 2*t^2.15 + t^2.53 + t^2.57 + t^2.6 + 2*t^3.02 + t^3.43 + t^4.23 + 2*t^4.26 + 3*t^4.3 + t^4.64 + 3*t^4.68 + 4*t^4.72 + 2*t^4.75 + t^5.06 + t^5.1 + 4*t^5.13 + 5*t^5.17 + t^5.21 + 2*t^5.55 + 3*t^5.58 + 2*t^5.62 - 2*t^6. - t^4.28/y - t^4.28*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
3189 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ 0.5978 0.762 0.7845 [X:[], M:[1.0258, 0.6737, 0.9742, 0.7254, 1.2746, 1.0258, 0.7981], q:[0.6373, 0.3369], qb:[0.3885, 0.9378], phi:[0.4249]] t^2.02 + t^2.18 + t^2.39 + t^2.55 + 2*t^3.08 + t^3.3 + t^3.45 + t^3.82 + t^4.04 + t^4.2 + t^4.35 + t^4.42 + 2*t^4.57 + 2*t^4.73 + t^4.79 + t^4.94 + 3*t^5.1 + 2*t^5.25 + t^5.32 + 3*t^5.47 + 2*t^5.63 + t^5.69 + 2*t^5.85 - t^6. - t^4.27/y - t^4.27*y detail