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$a$ =

$c$ =

$\leq a \leq$

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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
45251 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_3q_1^2$ 1.8108 1.9459 0.9306 [X:[], M:[0.762, 0.8952, 0.8952], q:[0.5524, 0.4192], qb:[], phi:[0.3428]] [X:[], M:[[5], [-2], [-2]], q:[[1], [8]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ M_1$, $ q_2^2$, $ M_2$, $ M_3$, $ q_1q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_1q_2^2$, $ M_1M_2$, $ M_1M_3$, $ \phi_1^2q_1q_2$, $ q_2^4$, $ M_1q_1q_2$, $ M_2q_2^2$, $ M_3q_2^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ \phi_1^2q_1^2$, $ q_1q_2^3$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ q_1^2q_2^2$ $2\phi_1^3q_1q_2$ 0 t^2.06 + t^2.29 + t^2.52 + 2*t^2.69 + t^2.91 + t^3.94 + 2*t^4.11 + t^4.34 + 3*t^4.57 + 2*t^4.74 + t^4.8 + 4*t^4.97 + t^5.03 + 3*t^5.2 + 4*t^5.37 + t^5.43 + t^5.6 + t^5.83 + 2*t^6.17 + t^6.23 + t^6.46 + 5*t^6.63 + 3*t^6.8 + 4*t^6.86 + 4*t^7.03 + 3*t^7.09 + 8*t^7.26 + t^7.32 + 3*t^7.43 + 6*t^7.49 + t^7.55 + 6*t^7.66 + 3*t^7.72 + 7*t^7.89 + t^7.94 + 6*t^8.06 + 2*t^8.12 + 3*t^8.23 + t^8.29 + t^8.34 - t^8.46 + 2*t^8.52 + t^8.69 + 2*t^8.74 + 3*t^8.86 + 3*t^8.91 + t^8.97 - t^4.03/y - t^5.29/y - t^5.69/y - (2*t^6.09)/y - t^6.31/y - t^6.54/y - (2*t^6.71)/y - t^6.94/y + t^7.74/y - (3*t^8.14)/y + t^8.2/y - (2*t^8.37)/y + t^8.43/y - (2*t^8.6)/y - (3*t^8.77)/y - t^8.83/y - t^4.03*y - t^5.29*y - t^5.69*y - 2*t^6.09*y - t^6.31*y - t^6.54*y - 2*t^6.71*y - t^6.94*y + t^7.74*y - 3*t^8.14*y + t^8.2*y - 2*t^8.37*y + t^8.43*y - 2*t^8.6*y - 3*t^8.77*y - t^8.83*y t^2.06/g1^6 + g1^5*t^2.29 + g1^16*t^2.52 + (2*t^2.69)/g1^2 + g1^9*t^2.91 + g1^6*t^3.94 + (2*t^4.11)/g1^12 + t^4.34/g1 + 3*g1^10*t^4.57 + (2*t^4.74)/g1^8 + g1^21*t^4.8 + 4*g1^3*t^4.97 + g1^32*t^5.03 + 3*g1^14*t^5.2 + (4*t^5.37)/g1^4 + g1^25*t^5.43 + g1^7*t^5.6 + g1^18*t^5.83 + (2*t^6.17)/g1^18 + g1^11*t^6.23 + g1^22*t^6.46 + 5*g1^4*t^6.63 + (3*t^6.8)/g1^14 + 4*g1^15*t^6.86 + (4*t^7.03)/g1^3 + 3*g1^26*t^7.09 + 8*g1^8*t^7.26 + g1^37*t^7.32 + (3*t^7.43)/g1^10 + 6*g1^19*t^7.49 + g1^48*t^7.55 + 6*g1*t^7.66 + 3*g1^30*t^7.72 + 7*g1^12*t^7.89 + g1^41*t^7.94 + (6*t^8.06)/g1^6 + 2*g1^23*t^8.12 + (3*t^8.23)/g1^24 + g1^5*t^8.29 + g1^34*t^8.34 - t^8.46/g1^13 + 2*g1^16*t^8.52 + t^8.69/g1^2 + 2*g1^27*t^8.74 + (3*t^8.86)/g1^20 + 3*g1^9*t^8.91 + g1^38*t^8.97 - t^4.03/(g1^3*y) - (g1^5*t^5.29)/y - t^5.69/(g1^2*y) - (2*t^6.09)/(g1^9*y) - (g1^2*t^6.31)/y - (g1^13*t^6.54)/y - (2*t^6.71)/(g1^5*y) - (g1^6*t^6.94)/y + t^7.74/(g1^8*y) - (3*t^8.14)/(g1^15*y) + (g1^14*t^8.2)/y - (2*t^8.37)/(g1^4*y) + (g1^25*t^8.43)/y - (2*g1^7*t^8.6)/y - (3*t^8.77)/(g1^11*y) - (g1^18*t^8.83)/y - (t^4.03*y)/g1^3 - g1^5*t^5.29*y - (t^5.69*y)/g1^2 - (2*t^6.09*y)/g1^9 - g1^2*t^6.31*y - g1^13*t^6.54*y - (2*t^6.71*y)/g1^5 - g1^6*t^6.94*y + (t^7.74*y)/g1^8 - (3*t^8.14*y)/g1^15 + g1^14*t^8.2*y - (2*t^8.37*y)/g1^4 + g1^25*t^8.43*y - 2*g1^7*t^8.6*y - (3*t^8.77*y)/g1^11 - g1^18*t^8.83*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
45273 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_3q_1^2$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ 1.7198 1.809 0.9506 [X:[1.4286], M:[0.8571, 0.8571, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[0.2857]] 3*t^2.57 + 3*t^3.43 + 2*t^4.29 + 9*t^5.14 + 4*t^6. - t^3.86/y - (3*t^5.57)/y - t^3.86*y - 3*t^5.57*y detail {a: 4719/2744, c: 1241/686, X1: 10/7, M1: 6/7, M2: 6/7, M3: 6/7, q1: 4/7, q2: 4/7, phi1: 2/7}


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
45057 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ 1.8013 1.9303 0.9332 [X:[], M:[0.76, 0.896], q:[0.552, 0.416], qb:[], phi:[0.344]] t^2.06 + t^2.28 + t^2.5 + t^2.69 + t^2.9 + t^3.31 + t^3.94 + 2*t^4.13 + t^4.34 + 3*t^4.56 + t^4.75 + t^4.78 + 3*t^4.97 + t^4.99 + 2*t^5.18 + 3*t^5.38 + t^5.4 + t^5.59 + 2*t^5.81 + t^6. - t^4.03/y - t^5.28/y - t^5.69/y - t^4.03*y - t^5.28*y - t^5.69*y detail