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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
47894 SU3adj1nf2 $M_1\phi_1^3$ + $ M_2\phi_1^2$ 1.4561 1.6566 0.8789 [X:[], M:[0.9583, 1.3055], q:[0.4791, 0.4791], qb:[0.4791, 0.4791], phi:[0.3472]] [X:[], M:[[3, 3, 3, 3], [2, 2, 2, 2]], q:[[6, 0, 0, 0], [0, 6, 0, 0]], qb:[[0, 0, 6, 0], [0, 0, 0, 6]], phi:[[-1, -1, -1, -1]]] 4
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_1^2q_2$, $ \phi_1q_1q_2^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_1q_1\tilde{q}_1$, $ M_1q_2\tilde{q}_1$, $ q_1^2\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_1q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$ . -8 5*t^2.87 + 5*t^3.92 + 4*t^4.96 + 4*t^5.35 + 15*t^5.75 - 8*t^6. + 4*t^6.4 + 25*t^6.79 - 7*t^7.04 + 4*t^7.44 + 30*t^7.83 - 6*t^8.08 + 20*t^8.23 - 16*t^8.48 + 35*t^8.62 - 25*t^8.87 - t^4.04/y - t^5.08/y - (5*t^6.92)/y - (5*t^7.96)/y + (10*t^8.75)/y - t^4.04*y - t^5.08*y - 5*t^6.92*y - 5*t^7.96*y + 10*t^8.75*y g1^6*g3^6*t^2.87 + g2^6*g3^6*t^2.87 + g1^3*g2^3*g3^3*g4^3*t^2.87 + g1^6*g4^6*t^2.87 + g2^6*g4^6*t^2.87 + (g1^5*g3^5*t^3.92)/(g2*g4) + (g2^5*g3^5*t^3.92)/(g1*g4) + g1^2*g2^2*g3^2*g4^2*t^3.92 + (g1^5*g4^5*t^3.92)/(g2*g3) + (g2^5*g4^5*t^3.92)/(g1*g3) + (g1^4*g3^4*t^4.96)/(g2^2*g4^2) + (g2^4*g3^4*t^4.96)/(g1^2*g4^2) + (g1^4*g4^4*t^4.96)/(g2^2*g3^2) + (g2^4*g4^4*t^4.96)/(g1^2*g3^2) + (g1^11*g2^5*t^5.35)/(g3*g4) + (g1^5*g2^11*t^5.35)/(g3*g4) + (g3^11*g4^5*t^5.35)/(g1*g2) + (g3^5*g4^11*t^5.35)/(g1*g2) + g1^12*g3^12*t^5.75 + g1^6*g2^6*g3^12*t^5.75 + g2^12*g3^12*t^5.75 + g1^9*g2^3*g3^9*g4^3*t^5.75 + g1^3*g2^9*g3^9*g4^3*t^5.75 + g1^12*g3^6*g4^6*t^5.75 + 3*g1^6*g2^6*g3^6*g4^6*t^5.75 + g2^12*g3^6*g4^6*t^5.75 + g1^9*g2^3*g3^3*g4^9*t^5.75 + g1^3*g2^9*g3^3*g4^9*t^5.75 + g1^12*g4^12*t^5.75 + g1^6*g2^6*g4^12*t^5.75 + g2^12*g4^12*t^5.75 - 4*t^6. - (g1^6*t^6.)/g2^6 - (g2^6*t^6.)/g1^6 - (g3^6*t^6.)/g4^6 - (g4^6*t^6.)/g3^6 + (g1^10*g2^4*t^6.4)/(g3^2*g4^2) + (g1^4*g2^10*t^6.4)/(g3^2*g4^2) + (g3^10*g4^4*t^6.4)/(g1^2*g2^2) + (g3^4*g4^10*t^6.4)/(g1^2*g2^2) + (g1^11*g3^11*t^6.79)/(g2*g4) + (2*g1^5*g2^5*g3^11*t^6.79)/g4 + (g2^11*g3^11*t^6.79)/(g1*g4) + 2*g1^8*g2^2*g3^8*g4^2*t^6.79 + 2*g1^2*g2^8*g3^8*g4^2*t^6.79 + (2*g1^11*g3^5*g4^5*t^6.79)/g2 + 5*g1^5*g2^5*g3^5*g4^5*t^6.79 + (2*g2^11*g3^5*g4^5*t^6.79)/g1 + 2*g1^8*g2^2*g3^2*g4^8*t^6.79 + 2*g1^2*g2^8*g3^2*g4^8*t^6.79 + (g1^11*g4^11*t^6.79)/(g2*g3) + (2*g1^5*g2^5*g4^11*t^6.79)/g3 + (g2^11*g4^11*t^6.79)/(g1*g3) - (g3^5*t^7.04)/(g1*g2*g4^7) - (g1^5*t^7.04)/(g2^7*g3*g4) - (3*t^7.04)/(g1*g2*g3*g4) - (g2^5*t^7.04)/(g1^7*g3*g4) - (g4^5*t^7.04)/(g1*g2*g3^7) - (g1^6*g2^6*t^7.44)/g3^6 - (g1^6*g2^6*t^7.44)/g4^6 + (g1^15*t^7.44)/(g2^3*g3^3*g4^3) + (g1^9*g2^3*t^7.44)/(g3^3*g4^3) + (g1^3*g2^9*t^7.44)/(g3^3*g4^3) + (g2^15*t^7.44)/(g1^3*g3^3*g4^3) + (g3^15*t^7.44)/(g1^3*g2^3*g4^3) + (g3^9*g4^3*t^7.44)/(g1^3*g2^3) - (g3^6*g4^6*t^7.44)/g1^6 - (g3^6*g4^6*t^7.44)/g2^6 + (g3^3*g4^9*t^7.44)/(g1^3*g2^3) + (g4^15*t^7.44)/(g1^3*g2^3*g3^3) + (2*g1^10*g3^10*t^7.83)/(g2^2*g4^2) + (3*g1^4*g2^4*g3^10*t^7.83)/g4^2 + (2*g2^10*g3^10*t^7.83)/(g1^2*g4^2) + g1^7*g2*g3^7*g4*t^7.83 + g1*g2^7*g3^7*g4*t^7.83 + (3*g1^10*g3^4*g4^4*t^7.83)/g2^2 + 6*g1^4*g2^4*g3^4*g4^4*t^7.83 + (3*g2^10*g3^4*g4^4*t^7.83)/g1^2 + g1^7*g2*g3*g4^7*t^7.83 + g1*g2^7*g3*g4^7*t^7.83 + (2*g1^10*g4^10*t^7.83)/(g2^2*g3^2) + (3*g1^4*g2^4*g4^10*t^7.83)/g3^2 + (2*g2^10*g4^10*t^7.83)/(g1^2*g3^2) - (g3^4*t^8.08)/(g1^2*g2^2*g4^8) - (g1^4*t^8.08)/(g2^8*g3^2*g4^2) - (2*t^8.08)/(g1^2*g2^2*g3^2*g4^2) - (g2^4*t^8.08)/(g1^8*g3^2*g4^2) - (g4^4*t^8.08)/(g1^2*g2^2*g3^8) + (g1^17*g2^5*g3^5*t^8.23)/g4 + (2*g1^11*g2^11*g3^5*t^8.23)/g4 + (g1^5*g2^17*g3^5*t^8.23)/g4 + g1^14*g2^8*g3^2*g4^2*t^8.23 + g1^8*g2^14*g3^2*g4^2*t^8.23 + (g1^17*g2^5*g4^5*t^8.23)/g3 + (2*g1^11*g2^11*g4^5*t^8.23)/g3 + (g1^5*g2^17*g4^5*t^8.23)/g3 + (g1^5*g3^17*g4^5*t^8.23)/g2 + (g2^5*g3^17*g4^5*t^8.23)/g1 + g1^2*g2^2*g3^14*g4^8*t^8.23 + (2*g1^5*g3^11*g4^11*t^8.23)/g2 + (2*g2^5*g3^11*g4^11*t^8.23)/g1 + g1^2*g2^2*g3^8*g4^14*t^8.23 + (g1^5*g3^5*g4^17*t^8.23)/g2 + (g2^5*g3^5*g4^17*t^8.23)/g1 - (g1^11*t^8.48)/(g2*g3*g4^7) - (2*g1^5*g2^5*t^8.48)/(g3*g4^7) - (g2^11*t^8.48)/(g1*g3*g4^7) - (g1^11*t^8.48)/(g2*g3^7*g4) - (2*g1^5*g2^5*t^8.48)/(g3^7*g4) - (g2^11*t^8.48)/(g1*g3^7*g4) - (g3^11*t^8.48)/(g1*g2^7*g4) - (g3^11*t^8.48)/(g1^7*g2*g4) - (2*g3^5*g4^5*t^8.48)/(g1*g2^7) - (2*g3^5*g4^5*t^8.48)/(g1^7*g2) - (g4^11*t^8.48)/(g1*g2^7*g3) - (g4^11*t^8.48)/(g1^7*g2*g3) + g1^18*g3^18*t^8.62 + g1^12*g2^6*g3^18*t^8.62 + g1^6*g2^12*g3^18*t^8.62 + g2^18*g3^18*t^8.62 + g1^15*g2^3*g3^15*g4^3*t^8.62 + g1^9*g2^9*g3^15*g4^3*t^8.62 + g1^3*g2^15*g3^15*g4^3*t^8.62 + g1^18*g3^12*g4^6*t^8.62 + 3*g1^12*g2^6*g3^12*g4^6*t^8.62 + 3*g1^6*g2^12*g3^12*g4^6*t^8.62 + g2^18*g3^12*g4^6*t^8.62 + g1^15*g2^3*g3^9*g4^9*t^8.62 + 3*g1^9*g2^9*g3^9*g4^9*t^8.62 + g1^3*g2^15*g3^9*g4^9*t^8.62 + g1^18*g3^6*g4^12*t^8.62 + 3*g1^12*g2^6*g3^6*g4^12*t^8.62 + 3*g1^6*g2^12*g3^6*g4^12*t^8.62 + g2^18*g3^6*g4^12*t^8.62 + g1^15*g2^3*g3^3*g4^15*t^8.62 + g1^9*g2^9*g3^3*g4^15*t^8.62 + g1^3*g2^15*g3^3*g4^15*t^8.62 + g1^18*g4^18*t^8.62 + g1^12*g2^6*g4^18*t^8.62 + g1^6*g2^12*g4^18*t^8.62 + g2^18*g4^18*t^8.62 - 6*g1^6*g3^6*t^8.87 - (g1^12*g3^6*t^8.87)/g2^6 - 6*g2^6*g3^6*t^8.87 - (g2^12*g3^6*t^8.87)/g1^6 - (g1^6*g3^12*t^8.87)/g4^6 - (g2^6*g3^12*t^8.87)/g4^6 + (g1^9*g3^9*t^8.87)/(g2^3*g4^3) + (g1^3*g2^3*g3^9*t^8.87)/g4^3 + (g2^9*g3^9*t^8.87)/(g1^3*g4^3) + (g1^9*g3^3*g4^3*t^8.87)/g2^3 - g1^3*g2^3*g3^3*g4^3*t^8.87 + (g2^9*g3^3*g4^3*t^8.87)/g1^3 - 6*g1^6*g4^6*t^8.87 - (g1^12*g4^6*t^8.87)/g2^6 - 6*g2^6*g4^6*t^8.87 - (g2^12*g4^6*t^8.87)/g1^6 + (g1^9*g4^9*t^8.87)/(g2^3*g3^3) + (g1^3*g2^3*g4^9*t^8.87)/g3^3 + (g2^9*g4^9*t^8.87)/(g1^3*g3^3) - (g1^6*g4^12*t^8.87)/g3^6 - (g2^6*g4^12*t^8.87)/g3^6 - t^4.04/(g1*g2*g3*g4*y) - t^5.08/(g1^2*g2^2*g3^2*g4^2*y) - (g1^5*g3^5*t^6.92)/(g2*g4*y) - (g2^5*g3^5*t^6.92)/(g1*g4*y) - (g1^2*g2^2*g3^2*g4^2*t^6.92)/y - (g1^5*g4^5*t^6.92)/(g2*g3*y) - (g2^5*g4^5*t^6.92)/(g1*g3*y) - (g1^4*g3^4*t^7.96)/(g2^2*g4^2*y) - (g2^4*g3^4*t^7.96)/(g1^2*g4^2*y) - (g1*g2*g3*g4*t^7.96)/y - (g1^4*g4^4*t^7.96)/(g2^2*g3^2*y) - (g2^4*g4^4*t^7.96)/(g1^2*g3^2*y) + (g1^6*g2^6*g3^12*t^8.75)/y + (g1^9*g2^3*g3^9*g4^3*t^8.75)/y + (g1^3*g2^9*g3^9*g4^3*t^8.75)/y + (g1^12*g3^6*g4^6*t^8.75)/y + (2*g1^6*g2^6*g3^6*g4^6*t^8.75)/y + (g2^12*g3^6*g4^6*t^8.75)/y + (g1^9*g2^3*g3^3*g4^9*t^8.75)/y + (g1^3*g2^9*g3^3*g4^9*t^8.75)/y + (g1^6*g2^6*g4^12*t^8.75)/y - (t^4.04*y)/(g1*g2*g3*g4) - (t^5.08*y)/(g1^2*g2^2*g3^2*g4^2) - (g1^5*g3^5*t^6.92*y)/(g2*g4) - (g2^5*g3^5*t^6.92*y)/(g1*g4) - g1^2*g2^2*g3^2*g4^2*t^6.92*y - (g1^5*g4^5*t^6.92*y)/(g2*g3) - (g2^5*g4^5*t^6.92*y)/(g1*g3) - (g1^4*g3^4*t^7.96*y)/(g2^2*g4^2) - (g2^4*g3^4*t^7.96*y)/(g1^2*g4^2) - g1*g2*g3*g4*t^7.96*y - (g1^4*g4^4*t^7.96*y)/(g2^2*g3^2) - (g2^4*g4^4*t^7.96*y)/(g1^2*g3^2) + g1^6*g2^6*g3^12*t^8.75*y + g1^9*g2^3*g3^9*g4^3*t^8.75*y + g1^3*g2^9*g3^9*g4^3*t^8.75*y + g1^12*g3^6*g4^6*t^8.75*y + 2*g1^6*g2^6*g3^6*g4^6*t^8.75*y + g2^12*g3^6*g4^6*t^8.75*y + g1^9*g2^3*g3^3*g4^9*t^8.75*y + g1^3*g2^9*g3^3*g4^9*t^8.75*y + g1^6*g2^6*g4^12*t^8.75*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


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
47870 SU3adj1nf2 $M_1\phi_1^3$ 1.4767 1.6956 0.8709 [X:[], M:[0.961], q:[0.4805, 0.4805], qb:[0.4805, 0.4805], phi:[0.3463]] t^2.08 + 5*t^2.88 + 4*t^3.92 + t^4.16 + 9*t^4.96 + 4*t^5.36 + 15*t^5.77 - 4*t^6. - t^4.04/y - t^5.08/y - t^4.04*y - t^5.08*y detail