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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
45190 SO5adj1nf2 $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ + $ M_1M_2$ + $ q_2^2X_1$ 1.7149 1.8149 0.9449 [X:[1.4], M:[0.8, 1.2], q:[0.5, 0.3], qb:[], phi:[0.4]] [X:[[0]], M:[[0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] 0 {a: 13719/8000, c: 14519/8000, X1: 7/5, M1: 4/5, M2: 6/5, q1: 1/2, q2: 3/10, phi1: 2/5}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ \phi_1^2$, $ q_1^2$, $ \phi_1^2q_2$, $ M_2$, $ \phi_1^2q_1$, $ \phi_1^2q_2^2$, $ X_1$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ M_1q_1^2$, $ \phi_1^2q_1^2$, $ M_1\phi_1^2q_2$, $ \phi_1^4q_2$ $M_2\phi_1^2$, $ \phi_1^3q_1q_2$ 2 2*t^2.4 + t^3. + t^3.3 + t^3.6 + t^3.9 + 2*t^4.2 + 5*t^4.8 + 2*t^5.4 + 2*t^5.7 + 2*t^6. + 3*t^6.3 + 4*t^6.6 + t^6.9 + 10*t^7.2 + 2*t^7.5 + 5*t^7.8 + 6*t^8.1 + 6*t^8.4 + 6*t^8.7 - t^4.2/y - t^5.1/y - t^5.7/y - (3*t^6.6)/y - t^7.2/y - (3*t^7.5)/y + t^7.8/y - (4*t^8.1)/y + (2*t^8.7)/y - t^4.2*y - t^5.1*y - t^5.7*y - 3*t^6.6*y - t^7.2*y - 3*t^7.5*y + t^7.8*y - 4*t^8.1*y + 2*t^8.7*y 2*t^2.4 + t^3. + t^3.3 + t^3.6 + t^3.9 + 2*t^4.2 + 5*t^4.8 + 2*t^5.4 + 2*t^5.7 + 2*t^6. + 3*t^6.3 + 4*t^6.6 + t^6.9 + 10*t^7.2 + 2*t^7.5 + 5*t^7.8 + 6*t^8.1 + 6*t^8.4 + 6*t^8.7 - t^4.2/y - t^5.1/y - t^5.7/y - (3*t^6.6)/y - t^7.2/y - (3*t^7.5)/y + t^7.8/y - (4*t^8.1)/y + (2*t^8.7)/y - t^4.2*y - t^5.1*y - t^5.7*y - 3*t^6.6*y - t^7.2*y - 3*t^7.5*y + t^7.8*y - 4*t^8.1*y + 2*t^8.7*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
45378 $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ + $ M_1M_2$ + $ q_2^2X_1$ + $ M_2M_3$ 1.7314 1.8439 0.939 [X:[1.4], M:[0.8, 1.2, 0.8], q:[0.5, 0.3], qb:[], phi:[0.4]] 3*t^2.4 + t^3. + t^3.3 + t^3.9 + 2*t^4.2 + 8*t^4.8 + 3*t^5.4 + 3*t^5.7 - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y detail {a: 13851/8000, c: 14751/8000, X1: 7/5, M1: 4/5, M2: 6/5, M3: 4/5, q1: 1/2, q2: 3/10, phi1: 2/5}


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
45088 SO5adj1nf2 $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ 1.8104 1.9354 0.9354 [X:[], M:[0.6961, 1.0441], q:[0.5, 0.4559], qb:[], phi:[0.348]] 2*t^2.09 + t^2.74 + t^3. + t^3.13 + t^3.46 + t^3.59 + 4*t^4.18 + 3*t^4.82 + t^4.96 + 3*t^5.09 + 2*t^5.22 + t^5.47 + 2*t^5.54 + 2*t^5.68 + t^5.74 - t^4.04/y - t^5.41/y - t^5.54/y - t^4.04*y - t^5.41*y - t^5.54*y detail