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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
45104 SO5adj1nf2 $M_1q_1q_2$ + $ q_1^4$ + $ M_1\phi_1^2$ + $ q_2^2X_1$ + $ M_2\phi_1^2$ 1.6819 1.7569 0.9573 [X:[1.4], M:[1.2, 1.2], q:[0.5, 0.3], qb:[], phi:[0.4]] [X:[[0]], M:[[0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] 0 {a: 2691/1600, c: 2811/1600, X1: 7/5, M1: 6/5, M2: 6/5, q1: 1/2, q2: 3/10, phi1: 2/5}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_1^2$, $ \phi_1^2q_2$, $ M_1$, $ M_2$, $ \phi_1q_1q_2$, $ \phi_1^2q_1$, $ \phi_1^2q_2^2$, $ X_1$, $ \phi_1^4$, $ \phi_1^2q_1q_2$ $\phi_1^3q_1q_2$ 0 t^3. + t^3.3 + 3*t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.8 + t^6.3 + 2*t^6.6 + 3*t^6.9 + 7*t^7.2 + 4*t^7.5 + 6*t^7.8 + 3*t^8.1 + 7*t^8.4 + t^8.7 - t^4.2/y - t^5.1/y - t^5.7/y - t^6.6/y - t^7.2/y - t^7.5/y - (2*t^7.8)/y - (2*t^8.1)/y - (2*t^8.4)/y - (2*t^8.7)/y - t^4.2*y - t^5.1*y - t^5.7*y - t^6.6*y - t^7.2*y - t^7.5*y - 2*t^7.8*y - 2*t^8.1*y - 2*t^8.4*y - 2*t^8.7*y t^3. + t^3.3 + 3*t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.8 + t^6.3 + 2*t^6.6 + 3*t^6.9 + 7*t^7.2 + 4*t^7.5 + 6*t^7.8 + 3*t^8.1 + 7*t^8.4 + t^8.7 - t^4.2/y - t^5.1/y - t^5.7/y - t^6.6/y - t^7.2/y - t^7.5/y - (2*t^7.8)/y - (2*t^8.1)/y - (2*t^8.4)/y - (2*t^8.7)/y - t^4.2*y - t^5.1*y - t^5.7*y - t^6.6*y - t^7.2*y - t^7.5*y - 2*t^7.8*y - 2*t^8.1*y - 2*t^8.4*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
45289 $M_1q_1q_2$ + $ q_1^4$ + $ M_1\phi_1^2$ + $ q_2^2X_1$ + $ M_2\phi_1^2q_1$ + $ M_1M_3$ 1.7354 1.8542 0.936 [X:[1.4], M:[1.2, 0.7, 0.8], q:[0.5, 0.3], qb:[], phi:[0.4]] t^2.1 + 2*t^2.4 + t^3. + t^3.3 + t^3.6 + 3*t^4.2 + 2*t^4.5 + 5*t^4.8 + t^5.1 + 3*t^5.4 + 3*t^5.7 + 2*t^6. - 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: 55533/32000, c: 59333/32000, X1: 7/5, M1: 6/5, M2: 7/10, M3: 4/5, q1: 1/2, q2: 3/10, phi1: 2/5}
45313 $M_1q_1q_2$ + $ q_1^4$ + $ M_1\phi_1^2$ + $ q_2^2X_1$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1^2q_2$ 1.728 1.8405 0.9389 [X:[1.4], M:[1.2, 0.7, 0.9], q:[0.5, 0.3], qb:[], phi:[0.4]] t^2.1 + t^2.4 + t^2.7 + t^3. + 2*t^3.6 + 3*t^4.2 + t^4.5 + 4*t^4.8 + 2*t^5.1 + 2*t^5.4 + 3*t^5.7 + 2*t^6. - 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: 216/125, c: 3681/2000, X1: 7/5, M1: 6/5, M2: 7/10, M3: 9/10, 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
44989 SO5adj1nf2 $M_1q_1q_2$ + $ q_1^4$ + $ M_1\phi_1^2$ + $ q_2^2X_1$ 1.6984 1.7859 0.951 [X:[1.4], M:[1.2], q:[0.5, 0.3], qb:[], phi:[0.4]] t^2.4 + t^3. + t^3.3 + 2*t^3.6 + t^3.9 + 2*t^4.2 + 3*t^4.8 + t^5.4 + t^5.7 + 2*t^6. - 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: 13587/8000, c: 14287/8000, X1: 7/5, M1: 6/5, q1: 1/2, q2: 3/10, phi1: 2/5}