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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
45212 SO5adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_1M_2$ 1.8017 1.9395 0.9289 [X:[], M:[1.2, 0.8, 0.7943], q:[0.4057, 0.3943], qb:[], phi:[0.4]] [X:[], M:[[0], [0], [1]], q:[[-1], [1]], qb:[], phi:[[0]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_2^2$, $ M_3$, $ M_2$, $ \phi_1^2$, $ q_1^2$, $ \phi_1^2q_2$, $ M_1$, $ q_2^4$, $ M_3q_2^2$, $ M_3^2$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ M_2M_3$, $ M_3\phi_1^2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ q_1^2q_2^2$, $ M_3q_1^2$, $ M_2q_1^2$, $ \phi_1^2q_1^2$, $ q_1^4$, $ \phi_1^2q_2^3$, $ M_3\phi_1^2q_2$, $ M_1M_3$, $ M_2\phi_1^2q_2$, $ \phi_1^4q_2$ $M_1\phi_1^2$, $ \phi_1^3q_1q_2$ 1 t^2.37 + t^2.38 + 2*t^2.4 + t^2.43 + t^3.58 + t^3.6 + t^4.73 + t^4.75 + 4*t^4.77 + 2*t^4.78 + 6*t^4.8 + t^4.82 + 3*t^4.83 + t^4.87 + t^5.95 + t^5.97 + 3*t^5.98 + t^6. + t^6.02 + t^7.1 + t^7.11 + 4*t^7.13 + 4*t^7.15 + 10*t^7.17 + 6*t^7.18 + 12*t^7.2 + 2*t^7.22 + 7*t^7.23 + t^7.25 + 3*t^7.27 + t^7.3 + t^8.31 + t^8.33 + 4*t^8.35 + t^8.37 + 6*t^8.38 + t^8.4 + 2*t^8.42 - 2*t^8.43 + t^8.45 - t^4.2/y - t^5.38/y - t^5.42/y - t^6.57/y - t^6.58/y - (3*t^6.6)/y - t^6.63/y + t^7.77/y - (2*t^7.78)/y + t^7.8/y - (2*t^7.82)/y + (2*t^7.83)/y - t^7.85/y - t^8.93/y - (3*t^8.97)/y + t^8.98/y - t^4.2*y - t^5.38*y - t^5.42*y - t^6.57*y - t^6.58*y - 3*t^6.6*y - t^6.63*y + t^7.77*y - 2*t^7.78*y + t^7.8*y - 2*t^7.82*y + 2*t^7.83*y - t^7.85*y - t^8.93*y - 3*t^8.97*y + t^8.98*y g1^2*t^2.37 + g1*t^2.38 + 2*t^2.4 + t^2.43/g1^2 + g1*t^3.58 + t^3.6 + g1^4*t^4.73 + g1^3*t^4.75 + 4*g1^2*t^4.77 + 2*g1*t^4.78 + 6*t^4.8 + t^4.82/g1 + (3*t^4.83)/g1^2 + t^4.87/g1^4 + g1^3*t^5.95 + g1^2*t^5.97 + 3*g1*t^5.98 + t^6. + t^6.02/g1 + g1^6*t^7.1 + g1^5*t^7.11 + 4*g1^4*t^7.13 + 4*g1^3*t^7.15 + 10*g1^2*t^7.17 + 6*g1*t^7.18 + 12*t^7.2 + (2*t^7.22)/g1 + (7*t^7.23)/g1^2 + t^7.25/g1^3 + (3*t^7.27)/g1^4 + t^7.3/g1^6 + g1^5*t^8.31 + g1^4*t^8.33 + 4*g1^3*t^8.35 + g1^2*t^8.37 + 6*g1*t^8.38 + t^8.4 + (2*t^8.42)/g1 - (2*t^8.43)/g1^2 + t^8.45/g1^3 - t^4.2/y - (g1*t^5.38)/y - t^5.42/(g1*y) - (g1^2*t^6.57)/y - (g1*t^6.58)/y - (3*t^6.6)/y - t^6.63/(g1^2*y) + (g1^2*t^7.77)/y - (2*g1*t^7.78)/y + t^7.8/y - (2*t^7.82)/(g1*y) + (2*t^7.83)/(g1^2*y) - t^7.85/(g1^3*y) - (g1^4*t^8.93)/y - (3*g1^2*t^8.97)/y + (g1*t^8.98)/y - t^4.2*y - g1*t^5.38*y - (t^5.42*y)/g1 - g1^2*t^6.57*y - g1*t^6.58*y - 3*t^6.6*y - (t^6.63*y)/g1^2 + g1^2*t^7.77*y - 2*g1*t^7.78*y + t^7.8*y - (2*t^7.82*y)/g1 + (2*t^7.83*y)/g1^2 - (t^7.85*y)/g1^3 - g1^4*t^8.93*y - 3*g1^2*t^8.97*y + g1*t^8.98*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
45360 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_1M_2$ + $ M_1M_4$ 1.8182 1.9685 0.9236 [X:[], M:[1.2, 0.8, 0.7943, 0.8], q:[0.4057, 0.3943], qb:[], phi:[0.4]] t^2.37 + t^2.38 + 3*t^2.4 + t^2.43 + t^3.58 + t^4.73 + t^4.75 + 5*t^4.77 + 3*t^4.78 + 9*t^4.8 + t^4.82 + 4*t^4.83 + t^4.87 + t^5.95 + 3*t^5.98 - t^6. - t^4.2/y - t^5.38/y - t^5.42/y - t^4.2*y - t^5.38*y - t^5.42*y detail
45385 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_1M_2$ + $ M_3q_2^2$ + $ q_1^2X_1$ 1.686 1.786 0.944 [X:[1.4667], M:[1.2, 0.8, 0.9333], q:[0.2667, 0.5333], qb:[], phi:[0.4]] 2*t^2.4 + t^2.8 + t^3.2 + t^3.6 + 2*t^4. + t^4.4 + 5*t^4.8 + t^5.2 + 4*t^5.6 + 2*t^6. - t^4.2/y - t^5./y - t^5.8/y - t^4.2*y - t^5.*y - t^5.8*y detail {a: 843/500, c: 893/500, X1: 22/15, M1: 6/5, M2: 4/5, M3: 14/15, q1: 4/15, q2: 8/15, phi1: 2/5}
45329 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_1M_2$ + $ M_4q_1^2$ 1.7868 1.9154 0.9328 [X:[], M:[1.2, 0.8, 0.7806, 1.1611], q:[0.4194, 0.3806], qb:[], phi:[0.4]] t^2.28 + t^2.34 + 2*t^2.4 + t^3.48 + t^3.54 + t^3.6 + t^4.57 + t^4.63 + 4*t^4.68 + 2*t^4.74 + 5*t^4.8 + t^4.92 + t^5.77 + 2*t^5.83 + 3*t^5.88 + 3*t^5.94 + t^6. - t^4.2/y - t^5.34/y - t^5.46/y - t^4.2*y - t^5.34*y - t^5.46*y detail
45263 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_1M_2$ + $ M_4q_2^2$ 1.7852 1.9106 0.9344 [X:[], M:[1.2, 0.8, 0.8066, 1.1869], q:[0.3934, 0.4066], qb:[], phi:[0.4]] t^2.36 + 2*t^2.4 + t^2.42 + t^3.56 + t^3.6 + t^3.62 + t^4.72 + 3*t^4.76 + t^4.78 + 5*t^4.8 + 2*t^4.82 + 2*t^4.84 + t^5.92 + 2*t^5.96 + 2*t^5.98 + t^6. - t^4.2/y - t^5.38/y - t^5.42/y - t^4.2*y - t^5.38*y - t^5.42*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
44984 SO5adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ 1.8293 1.966 0.9305 [X:[], M:[1.0749, 0.7166, 0.8137], q:[0.4697, 0.4554], qb:[], phi:[0.3583]] 2*t^2.15 + t^2.44 + t^2.73 + t^2.82 + t^3.22 + t^3.52 + 4*t^4.3 + 2*t^4.59 + 4*t^4.88 + t^4.93 + 3*t^4.97 + t^5.17 + t^5.26 + 2*t^5.37 + t^5.47 + t^5.55 + t^5.64 + 3*t^5.67 + t^5.96 - t^6. - t^4.07/y - t^5.44/y - t^5.48/y - t^4.07*y - t^5.44*y - t^5.48*y detail