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$a$ =

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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
45382 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_2^2$ 1.7532 1.8609 0.9421 [X:[1.3947], M:[0.7894, 0.7894, 0.7894, 1.0264], q:[0.6053, 0.4868], qb:[], phi:[0.3026]] [X:[[2]], M:[[4], [4], [4], [-10]], q:[[-2], [5]], qb:[], phi:[[-1]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ M_2$, $ M_3$, $ M_4$, $ \phi_1^2q_2$, $ q_1q_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_2M_3$, $ M_3^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_1M_4$, $ M_2M_4$, $ M_3M_4$, $ \phi_1^2q_1^2$, $ M_2\phi_1^2q_2$, $ M_3\phi_1^2q_2$, $ M_1q_1q_2$, $ M_2q_1q_2$, $ M_3q_1q_2$ $\phi_1^3q_1q_2$ -2 3*t^2.37 + t^3.08 + 2*t^3.28 + 2*t^4.18 + 7*t^4.74 + t^5.09 + 4*t^5.45 + 5*t^5.64 - 2*t^6. + t^6.16 + 8*t^6.55 - t^6.91 + 13*t^7.1 + t^7.26 + 6*t^7.46 + 9*t^7.82 + 11*t^8.01 - 4*t^8.37 + 4*t^8.53 + 17*t^8.92 - t^3.91/y - t^5.37/y - (2*t^5.72)/y - (3*t^6.28)/y - t^6.99/y - (2*t^7.18)/y - (6*t^8.09)/y + (3*t^8.45)/y - (2*t^8.64)/y - (2*t^8.8)/y - t^3.91*y - t^5.37*y - 2*t^5.72*y - 3*t^6.28*y - t^6.99*y - 2*t^7.18*y - 6*t^8.09*y + 3*t^8.45*y - 2*t^8.64*y - 2*t^8.8*y 3*g1^4*t^2.37 + t^3.08/g1^10 + 2*g1^3*t^3.28 + 2*g1^2*t^4.18 + 7*g1^8*t^4.74 + g1*t^5.09 + (4*t^5.45)/g1^6 + 5*g1^7*t^5.64 - 2*t^6. + t^6.16/g1^20 + 8*g1^6*t^6.55 - t^6.91/g1 + 13*g1^12*t^7.1 + t^7.26/g1^8 + 6*g1^5*t^7.46 + (9*t^7.82)/g1^2 + 11*g1^11*t^8.01 - 4*g1^4*t^8.37 + (4*t^8.53)/g1^16 + 17*g1^10*t^8.92 - t^3.91/(g1*y) - (g1^4*t^5.37)/y - (2*t^5.72)/(g1^3*y) - (3*g1^3*t^6.28)/y - t^6.99/(g1^11*y) - (2*g1^2*t^7.18)/y - (6*g1*t^8.09)/y + (3*t^8.45)/(g1^6*y) - (2*g1^7*t^8.64)/y - (2*t^8.8)/(g1^13*y) - (t^3.91*y)/g1 - g1^4*t^5.37*y - (2*t^5.72*y)/g1^3 - 3*g1^3*t^6.28*y - (t^6.99*y)/g1^11 - 2*g1^2*t^7.18*y - 6*g1*t^8.09*y + (3*t^8.45*y)/g1^6 - 2*g1^7*t^8.64*y - (2*t^8.8*y)/g1^13


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
45414 $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_2^2$ + $ M_3\phi_1^2q_2$ 1.7323 1.8305 0.9463 [X:[1.4286], M:[0.8571, 0.8571, 0.8571, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[0.2857]] 4*t^2.57 + 2*t^3.43 + 2*t^4.29 + 13*t^5.14 + 3*t^6. - t^3.86/y - (3*t^5.57)/y - t^3.86*y - 3*t^5.57*y detail {a: 9507/5488, c: 5023/2744, X1: 10/7, M1: 6/7, M2: 6/7, M3: 6/7, M4: 6/7, q1: 4/7, q2: 4/7, phi1: 2/7}
45440 $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_2^2$ + $ M_5\phi_1^2q_2$ 1.7618 1.8746 0.9398 [X:[1.3983], M:[0.7966, 0.7966, 0.7966, 1.0085, 0.9025], q:[0.6017, 0.4958], qb:[], phi:[0.3008]] 3*t^2.39 + t^2.71 + t^3.03 + t^3.29 + 2*t^4.19 + 7*t^4.78 + 4*t^5.1 + 5*t^5.42 + 2*t^5.68 + t^5.73 - t^6. - t^3.9/y - t^5.39/y - (2*t^5.71)/y - t^3.9*y - t^5.39*y - 2*t^5.71*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
45201 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ 1.7585 1.8752 0.9378 [X:[1.3824], M:[0.7649, 0.7649, 0.7649], q:[0.6176, 0.4561], qb:[], phi:[0.3088]] 3*t^2.29 + t^2.74 + 2*t^3.22 + 2*t^4.15 + 7*t^4.59 + 3*t^5.03 + t^5.07 + t^5.47 + 5*t^5.52 + t^5.56 + 2*t^5.96 - 2*t^6. - t^3.93/y - t^5.29/y - (2*t^5.78)/y - t^3.93*y - t^5.29*y - 2*t^5.78*y detail