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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
47904 SU3adj1nf2 $M_1\phi_1q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_2$ + $ \phi_1^2X_1$ 1.1161 1.2318 0.9061 [X:[1.5372], M:[0.9256], q:[0.4215, 0.8843], qb:[0.4215, 0.8843], phi:[0.2314]] [X:[[0, 0, 2]], M:[[0, 0, -4]], q:[[-1, 0, 5], [0, -1, 1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] 3
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^3$, $ q_1\tilde{q}_1$, $ M_1$, $ q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1^6$, $ \phi_1^3q_1\tilde{q}_1$, $ X_1$, $ M_1\phi_1^3$, $ q_1^2\tilde{q}_1^2$, $ M_1q_1\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_1^2$, $ \phi_1^3\tilde{q}_1^3$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1^2q_2$, $ \phi_1^3q_1^3$ $\phi_1^5q_1\tilde{q}_1$ -2 t^2.08 + t^2.53 + t^2.78 + 3*t^3.92 + t^4.17 + 2*t^4.61 + t^4.86 + t^5.06 + 2*t^5.31 + t^5.55 + 4*t^5.88 - 2*t^6. + t^6.25 + 3*t^6.45 + 4*t^6.69 + t^6.94 + 2*t^7.14 + t^7.59 + t^7.64 + 7*t^7.83 + 2*t^8.08 + 2*t^8.33 + 4*t^8.41 - 2*t^8.78 + 3*t^8.98 + t^8.08/y^2 - t^8.78/y^2 - t^3.69/y - t^4.39/y - t^5.78/y - t^6.22/y - (2*t^6.47)/y - t^7.17/y - t^7.61/y - (2*t^8.55)/y - t^8.75/y - t^3.69*y - t^4.39*y - t^5.78*y - t^6.22*y - 2*t^6.47*y - t^7.17*y - t^7.61*y - 2*t^8.55*y - t^8.75*y + t^8.08*y^2 - t^8.78*y^2 t^2.08/g3^3 + g3^5*t^2.53 + t^2.78/g3^4 + (g1*g3*t^3.92)/g2 + g3^3*t^3.92 + (g2*g3^5*t^3.92)/g1 + t^4.17/g3^6 + 2*g3^2*t^4.61 + t^4.86/g3^7 + g3^10*t^5.06 + 2*g3*t^5.31 + t^5.55/g3^8 + (g1^3*t^5.88)/g3^3 + (g1^2*g2*t^5.88)/g3 + (g3^10*t^5.88)/(g1^2*g2) + (g3^12*t^5.88)/g1^3 - 2*t^6. + t^6.25/g3^9 + (g1*g3^6*t^6.45)/g2 + g3^8*t^6.45 + (g2*g3^10*t^6.45)/g1 + (g1*t^6.69)/(g2*g3^3) + (2*t^6.69)/g3 + (g2*g3*t^6.69)/g1 + t^6.94/g3^10 + 2*g3^7*t^7.14 - (g2*t^7.39)/g1 - (g1*t^7.39)/(g2*g3^4) + (2*t^7.39)/g3^2 + g3^15*t^7.59 + t^7.64/g3^11 + (g1^2*g3^2*t^7.83)/g2^2 + (g1*g3^4*t^7.83)/g2 + 3*g3^6*t^7.83 + (g2*g3^8*t^7.83)/g1 + (g2^2*g3^10*t^7.83)/g1^2 + (2*t^8.08)/g3^3 + (2*t^8.33)/g3^12 + g1^3*g3^2*t^8.41 + g1^2*g2*g3^4*t^8.41 + (g3^15*t^8.41)/(g1^2*g2) + (g3^17*t^8.41)/g1^3 + (g1*g3^3*t^8.53)/g2 - 2*g3^5*t^8.53 + (g2*g3^7*t^8.53)/g1 - (2*t^8.78)/g3^4 + (g1*g3^11*t^8.98)/g2 + g3^13*t^8.98 + (g2*g3^15*t^8.98)/g1 + t^8.08/(g3^3*y^2) - t^8.78/(g3^4*y^2) - t^3.69/(g3*y) - t^4.39/(g3^2*y) - t^5.78/(g3^4*y) - (g3^4*t^6.22)/y - (2*t^6.47)/(g3^5*y) - t^7.17/(g3^6*y) - (g1*t^7.61)/(g2*y) + (g3^2*t^7.61)/y - (g2*g3^4*t^7.61)/(g1*y) - (2*t^8.55)/(g3^8*y) - (g3^9*t^8.75)/y - (t^3.69*y)/g3 - (t^4.39*y)/g3^2 - (t^5.78*y)/g3^4 - g3^4*t^6.22*y - (2*t^6.47*y)/g3^5 - (t^7.17*y)/g3^6 - (g1*t^7.61*y)/g2 + g3^2*t^7.61*y - (g2*g3^4*t^7.61*y)/g1 - (2*t^8.55*y)/g3^8 - g3^9*t^8.75*y + (t^8.08*y^2)/g3^3 - (t^8.78*y^2)/g3^4


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


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
47874 SU3adj1nf2 $M_1\phi_1q_1\tilde{q}_1$ 1.4951 1.7264 0.866 [X:[], M:[0.6735], q:[0.4945, 0.493], qb:[0.4945, 0.493], phi:[0.3375]] t^2.02 + t^2.03 + 3*t^2.96 + t^2.97 + t^3.04 + 3*t^3.97 + t^4.04 + 2*t^4.05 + 5*t^4.98 + 7*t^4.99 + 2*t^5.06 + 2*t^5.45 + 2*t^5.46 + 7*t^5.92 + 3*t^5.93 + t^5.99 + t^6. - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y detail