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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
45114 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ 1.7715 1.8717 0.9465 [X:[], M:[0.8944, 0.8944, 1.3169], q:[0.4225, 0.5528], qb:[], phi:[0.3415]] [X:[], M:[[-2], [-2], [6]], q:[[8], [1]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_1^2$, $ M_1$, $ M_2$, $ q_1q_2$, $ \phi_1^2q_2$, $ M_3$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ q_1^4$, $ M_1q_1^2$, $ M_2q_1^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ \phi_1^2q_2^2$, $ q_1^3q_2$, $ M_2q_1q_2$, $ q_1^2q_2^2$ $\phi_1^3q_1q_2$ -1 t^2.54 + 2*t^2.68 + t^2.93 + t^3.71 + 2*t^3.95 + t^4.1 + t^4.58 + t^4.98 + t^5.07 + 2*t^5.22 + 4*t^5.37 + t^5.46 + t^5.61 + t^5.85 - t^6. + t^6.24 + 2*t^6.49 + 5*t^6.63 + t^6.78 + 2*t^6.88 + t^7.12 + 2*t^7.27 + 2*t^7.51 + t^7.61 + 3*t^7.66 + 2*t^7.75 + t^7.81 + 7*t^7.9 + t^8. + 7*t^8.05 + t^8.14 + t^8.2 + 2*t^8.29 + t^8.39 - t^8.44 + t^8.54 - 2*t^8.68 + 2*t^8.78 - t^4.02/y - t^5.29/y - t^5.68/y - t^6.07/y - t^6.56/y - (2*t^6.71)/y - t^6.95/y - t^7.73/y - t^7.83/y - (3*t^7.98)/y - t^8.12/y + t^8.46/y - t^8.76/y - t^4.02*y - t^5.29*y - t^5.68*y - t^6.07*y - t^6.56*y - 2*t^6.71*y - t^6.95*y - t^7.73*y - t^7.83*y - 3*t^7.98*y - t^8.12*y + t^8.46*y - t^8.76*y g1^16*t^2.54 + (2*t^2.68)/g1^2 + g1^9*t^2.93 + t^3.71/g1^5 + 2*g1^6*t^3.95 + t^4.1/g1^12 + g1^10*t^4.58 + g1^3*t^4.98 + g1^32*t^5.07 + 2*g1^14*t^5.22 + (4*t^5.37)/g1^4 + g1^25*t^5.46 + g1^7*t^5.61 + g1^18*t^5.85 - t^6. + g1^11*t^6.24 + 2*g1^22*t^6.49 + 5*g1^4*t^6.63 + t^6.78/g1^14 + 2*g1^15*t^6.88 + g1^26*t^7.12 + 2*g1^8*t^7.27 + 2*g1^19*t^7.51 + g1^48*t^7.61 + 3*g1*t^7.66 + 2*g1^30*t^7.75 + t^7.81/g1^17 + 7*g1^12*t^7.9 + g1^41*t^8. + (7*t^8.05)/g1^6 + g1^23*t^8.14 + t^8.2/g1^24 + 2*g1^5*t^8.29 + g1^34*t^8.39 - t^8.44/g1^13 + g1^16*t^8.54 - (2*t^8.68)/g1^2 + 2*g1^27*t^8.78 - t^4.02/(g1^3*y) - (g1^5*t^5.29)/y - t^5.68/(g1^2*y) - t^6.07/(g1^9*y) - (g1^13*t^6.56)/y - (2*t^6.71)/(g1^5*y) - (g1^6*t^6.95)/y - t^7.73/(g1^8*y) - (g1^21*t^7.83)/y - (3*g1^3*t^7.98)/y - t^8.12/(g1^15*y) + (g1^25*t^8.46)/y - t^8.76/(g1^11*y) - (t^4.02*y)/g1^3 - g1^5*t^5.29*y - (t^5.68*y)/g1^2 - (t^6.07*y)/g1^9 - g1^13*t^6.56*y - (2*t^6.71*y)/g1^5 - g1^6*t^6.95*y - (t^7.73*y)/g1^8 - g1^21*t^7.83*y - 3*g1^3*t^7.98*y - (t^8.12*y)/g1^15 + g1^25*t^8.46*y - (t^8.76*y)/g1^11


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
45298 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1^2q_2$ 1.79 1.9057 0.9393 [X:[], M:[0.8955, 0.8955, 1.3135, 0.7612], q:[0.418, 0.5522], qb:[], phi:[0.3433]] t^2.28 + t^2.51 + 2*t^2.69 + t^2.91 + 2*t^3.94 + t^4.12 + 2*t^4.57 + t^4.79 + 3*t^4.97 + t^5.02 + 3*t^5.19 + 4*t^5.37 + t^5.42 + t^5.6 + t^5.82 - 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
45260 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ + $ M_4q_1q_2$ 1.7701 1.8676 0.9478 [X:[], M:[0.8901, 0.8901, 1.3298, 1.0053], q:[0.4397, 0.555], qb:[], phi:[0.3351]] t^2.64 + 2*t^2.67 + t^3.02 + t^3.68 + 2*t^3.99 + t^4.02 + t^4.65 + t^4.99 + t^5.28 + 2*t^5.31 + 4*t^5.34 + 2*t^5.69 - t^6. - t^4.01/y - t^5.32/y - t^5.67/y - t^4.01*y - t^5.32*y - t^5.67*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
45092 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ 1.7923 1.9121 0.9373 [X:[], M:[0.8941, 0.8941], q:[0.4236, 0.5529], qb:[], phi:[0.3412]] t^2.05 + t^2.54 + 2*t^2.68 + t^2.93 + t^3.71 + t^3.95 + 2*t^4.09 + 2*t^4.59 + 2*t^4.73 + 2*t^4.98 + t^5.08 + 2*t^5.22 + 4*t^5.36 + t^5.47 + t^5.61 + t^5.75 + t^5.86 - t^4.02/y - t^5.29/y - t^5.68/y - t^4.02*y - t^5.29*y - t^5.68*y detail