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$a$ =

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$\leq a \leq$

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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
45009 SO5adj1nf2 $\phi_1^4q_1$ + $ M_1q_1^2$ + $ M_2\phi_1^2q_1$ 1.8023 1.9338 0.932 [X:[], M:[1.0344, 0.7586], q:[0.4828, 0.3793], qb:[], phi:[0.3793]] [X:[], M:[[8], [2]], q:[[-4], [1]], qb:[], phi:[[1]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ \phi_1^2$, $ q_2^2$, $ q_1q_2$, $ M_1$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ q_2^4$, $ M_2q_1q_2$, $ \phi_1^2q_1q_2$, $ q_1q_2^3$, $ \phi_1^2q_1^2$, $ q_1^2q_2^2$, $ M_1M_2$, $ M_1\phi_1^2$, $ M_1q_2^2$, $ M_2\phi_1^2q_2$, $ M_1q_1q_2$, $ \phi_1^2q_2^3$ $M_2\phi_1q_1q_2$, $ 2\phi_1^3q_1q_2$, $ \phi_1^2q_1q_2^2$, $ \phi_1q_1q_2^3$ 3 3*t^2.28 + t^2.59 + t^3.1 + t^3.41 + t^3.72 + 8*t^4.55 + 4*t^4.86 + 2*t^5.17 + 3*t^5.38 + 3*t^5.69 + 3*t^6. + t^6.21 + t^6.52 + 16*t^6.83 + 10*t^7.14 + 6*t^7.45 + 8*t^7.65 + 2*t^7.76 + 8*t^7.97 + 7*t^8.28 + 3*t^8.48 - t^8.59 + 3*t^8.79 - t^4.14/y - t^5.28/y - t^5.59/y - (4*t^6.41)/y - t^6.72/y - t^7.24/y - t^7.55/y - t^7.86/y - t^8.17/y + (2*t^8.38)/y - (7*t^8.69)/y - t^4.14*y - t^5.28*y - t^5.59*y - 4*t^6.41*y - t^6.72*y - t^7.24*y - t^7.55*y - t^7.86*y - t^8.17*y + 2*t^8.38*y - 7*t^8.69*y 3*g1^2*t^2.28 + t^2.59/g1^3 + g1^8*t^3.1 + g1^3*t^3.41 + t^3.72/g1^2 + 8*g1^4*t^4.55 + (4*t^4.86)/g1 + (2*t^5.17)/g1^6 + 3*g1^10*t^5.38 + 3*g1^5*t^5.69 + 3*t^6. + g1^16*t^6.21 + g1^11*t^6.52 + 16*g1^6*t^6.83 + 10*g1*t^7.14 + (6*t^7.45)/g1^4 + 8*g1^12*t^7.65 + (2*t^7.76)/g1^9 + 8*g1^7*t^7.97 + 7*g1^2*t^8.28 + 3*g1^18*t^8.48 - t^8.59/g1^3 + 3*g1^13*t^8.79 - (g1*t^4.14)/y - (g1^2*t^5.28)/y - t^5.59/(g1^3*y) - (4*g1^3*t^6.41)/y - t^6.72/(g1^2*y) - (g1^9*t^7.24)/y - (g1^4*t^7.55)/y - t^7.86/(g1*y) - t^8.17/(g1^6*y) + (2*g1^10*t^8.38)/y - (7*g1^5*t^8.69)/y - g1*t^4.14*y - g1^2*t^5.28*y - (t^5.59*y)/g1^3 - 4*g1^3*t^6.41*y - (t^6.72*y)/g1^2 - g1^9*t^7.24*y - g1^4*t^7.55*y - (t^7.86*y)/g1 - (t^8.17*y)/g1^6 + 2*g1^10*t^8.38*y - 7*g1^5*t^8.69*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
45180 $\phi_1^4q_1$ + $ M_1q_1^2$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1q_1q_2$ 1.8211 1.9681 0.9253 [X:[], M:[1.026, 0.7565, 0.7565], q:[0.487, 0.3783], qb:[], phi:[0.3783]] 4*t^2.27 + t^2.6 + t^3.08 + t^3.4 + 12*t^4.54 + 5*t^4.87 + 2*t^5.19 + 4*t^5.35 + 4*t^5.67 - t^4.13/y - t^5.27/y - t^5.6/y - t^4.13*y - t^5.27*y - t^5.6*y detail
45119 $\phi_1^4q_1$ + $ M_1q_1^2$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1^2q_2$ 1.8149 1.9546 0.9285 [X:[], M:[1.0563, 0.7641, 0.8539], q:[0.4719, 0.382], qb:[], phi:[0.382]] 3*t^2.29 + 2*t^2.56 + t^3.17 + t^3.71 + 8*t^4.58 + 7*t^4.85 + 4*t^5.12 + 3*t^5.46 + t^5.73 + 2*t^6. - t^4.15/y - t^5.29/y - t^5.56/y - t^4.15*y - t^5.29*y - t^5.56*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
44944 SO5adj1nf2 $\phi_1^4q_1$ + $ M_1q_1^2$ 1.7837 1.8999 0.9389 [X:[], M:[1.0431], q:[0.4784, 0.3804], qb:[], phi:[0.3804]] 2*t^2.28 + t^2.58 + t^3.13 + t^3.42 + 2*t^3.72 + 5*t^4.56 + 3*t^4.86 + 2*t^5.15 + 2*t^5.41 + 2*t^5.71 + 4*t^6. - t^4.14/y - t^5.28/y - t^5.58/y - t^4.14*y - t^5.28*y - t^5.58*y detail