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$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

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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
45202 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ + $ M_2q_1^2$ 1.789 1.8908 0.9461 [X:[], M:[0.819, 1.0861, 1.2759], q:[0.4569, 0.4569], qb:[], phi:[0.362]] [X:[], M:[[1], [-6], [4]], q:[[3], [3]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ q_1^2$, $ q_1q_2$, $ M_2$, $ \phi_1^2q_2$, $ M_3$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1^2$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ M_1q_1^2$, $ M_1q_1q_2$, $ q_1^4$, $ q_1^3q_2$, $ q_1^2q_2^2$, $ M_1M_2$ $\phi_1^3q_1q_2$ 0 t^2.46 + 2*t^2.74 + t^3.26 + t^3.54 + 2*t^3.83 + t^4.34 + 4*t^4.91 + 2*t^5.2 + 3*t^5.48 + t^5.72 + 4*t^6.28 + t^6.52 + 4*t^6.57 + 2*t^7.09 + 6*t^7.37 + t^7.6 + 10*t^7.66 + t^7.89 + 3*t^7.94 + 3*t^8.17 + 4*t^8.23 + t^8.46 + t^8.69 + 4*t^8.74 + t^8.97 - t^4.09/y - (2*t^5.46)/y - t^6.26/y - t^6.54/y - (2*t^6.83)/y - t^7.34/y - t^7.63/y - (3*t^7.91)/y - (2*t^8.2)/y - t^8.43/y + t^8.48/y - t^4.09*y - 2*t^5.46*y - t^6.26*y - t^6.54*y - 2*t^6.83*y - t^7.34*y - t^7.63*y - 3*t^7.91*y - 2*t^8.2*y - t^8.43*y + t^8.48*y g1*t^2.46 + 2*g1^6*t^2.74 + t^3.26/g1^6 + t^3.54/g1 + 2*g1^4*t^3.83 + t^4.34/g1^8 + 4*g1^2*t^4.91 + 2*g1^7*t^5.2 + 3*g1^12*t^5.48 + t^5.72/g1^5 + 4*g1^5*t^6.28 + t^6.52/g1^12 + 4*g1^10*t^6.57 + (2*t^7.09)/g1^2 + 6*g1^3*t^7.37 + t^7.6/g1^14 + 10*g1^8*t^7.66 + t^7.89/g1^9 + 3*g1^13*t^7.94 + (3*t^8.17)/g1^4 + 4*g1^18*t^8.23 + g1*t^8.46 + t^8.69/g1^16 + 4*g1^6*t^8.74 + t^8.97/g1^11 - t^4.09/(g1^2*y) - (2*g1*t^5.46)/y - t^6.26/(g1^6*y) - t^6.54/(g1*y) - (2*g1^4*t^6.83)/y - t^7.34/(g1^8*y) - t^7.63/(g1^3*y) - (3*g1^2*t^7.91)/y - (2*g1^7*t^8.2)/y - t^8.43/(g1^10*y) + (g1^12*t^8.48)/y - (t^4.09*y)/g1^2 - 2*g1*t^5.46*y - (t^6.26*y)/g1^6 - (t^6.54*y)/g1 - 2*g1^4*t^6.83*y - (t^7.34*y)/g1^8 - (t^7.63*y)/g1^3 - 3*g1^2*t^7.91*y - 2*g1^7*t^8.2*y - (t^8.43*y)/g1^10 + g1^12*t^8.48*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
45270 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ + $ M_2q_1^2$ + $ M_4q_1^2$ 1.7823 1.8779 0.9491 [X:[], M:[0.8238, 1.0571, 1.2953, 1.0571], q:[0.4714, 0.4714], qb:[], phi:[0.3524]] t^2.47 + t^2.83 + 2*t^3.17 + t^3.53 + 2*t^3.89 + t^4.23 + 4*t^4.94 + t^5.3 + 2*t^5.64 + t^5.66 - t^4.06/y - (2*t^5.47)/y - t^4.06*y - 2*t^5.47*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
45066 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ 1.7896 1.8921 0.9458 [X:[], M:[0.8313, 1.0608, 1.2766], q:[0.4452, 0.4696], qb:[], phi:[0.3617]] t^2.49 + t^2.67 + t^2.74 + t^3.18 + t^3.58 + 2*t^3.83 + t^4.34 + t^4.84 + t^4.91 + 2*t^4.99 + t^5.17 + t^5.24 + t^5.34 + t^5.42 + t^5.49 + t^5.68 + t^5.85 - t^6. - t^4.09/y - t^5.42/y - t^5.49/y - t^4.09*y - t^5.42*y - t^5.49*y detail