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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
45083 SO5adj1nf2 $q_1^3q_2$ + $ M_1\phi_1^2q_2$ + $ M_1q_2^2$ + $ \phi_1^2X_1$ 1.7221 1.8086 0.9522 [X:[1.3846], M:[0.7692], q:[0.4615, 0.6154], qb:[], phi:[0.3077]] [X:[[0]], M:[[0]], q:[[0], [0]], qb:[], phi:[[0]]] 0 {a: 30267/17576, c: 7947/4394, X1: 18/13, M1: 10/13, q1: 6/13, q2: 8/13, phi1: 4/13}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ q_1^2$, $ \phi_1^2q_1$, $ q_1q_2$, $ \phi_1^4$, $ q_2^2$, $ \phi_1q_1q_2$, $ X_1$, $ M_1^2$, $ \phi_1^2q_1^2$, $ M_1q_1^2$, $ \phi_1^2q_1q_2$, $ M_1\phi_1^2q_1$, $ M_1q_1q_2$, $ \phi_1^2q_2^2$ $M_1\phi_1^4$, $ \phi_1^3q_1q_2$ 2 t^2.31 + t^2.77 + 2*t^3.23 + 2*t^3.69 + 2*t^4.15 + 2*t^4.62 + 2*t^5.08 + 3*t^5.54 + 2*t^6. + 4*t^6.46 + 7*t^6.92 + 8*t^7.38 + 9*t^7.85 + 6*t^8.31 + 6*t^8.77 - t^3.92/y - t^5.31/y - (2*t^5.77)/y - t^6.23/y - t^6.69/y - (2*t^7.15)/y - (3*t^7.62)/y - (2*t^8.08)/y - (2*t^8.54)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y - t^6.23*y - t^6.69*y - 2*t^7.15*y - 3*t^7.62*y - 2*t^8.08*y - 2*t^8.54*y t^2.31 + t^2.77 + 2*t^3.23 + 2*t^3.69 + 2*t^4.15 + 2*t^4.62 + 2*t^5.08 + 3*t^5.54 + 2*t^6. + 4*t^6.46 + 7*t^6.92 + 8*t^7.38 + 9*t^7.85 + 6*t^8.31 + 6*t^8.77 - t^3.92/y - t^5.31/y - (2*t^5.77)/y - t^6.23/y - t^6.69/y - (2*t^7.15)/y - (3*t^7.62)/y - (2*t^8.08)/y - (2*t^8.54)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y - t^6.23*y - t^6.69*y - 2*t^7.15*y - 3*t^7.62*y - 2*t^8.08*y - 2*t^8.54*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
45125 $q_1^3q_2$ + $ M_1\phi_1^2q_2$ + $ M_1q_2^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ 1.7402 1.8412 0.9452 [X:[1.3846], M:[0.7692, 0.7692], q:[0.4615, 0.6154], qb:[], phi:[0.3077]] 2*t^2.31 + t^2.77 + 2*t^3.23 + t^3.69 + 2*t^4.15 + 4*t^4.62 + 3*t^5.08 + 5*t^5.54 + 2*t^6. - t^3.92/y - t^5.31/y - (2*t^5.77)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y detail {a: 61173/35152, c: 32361/17576, X1: 18/13, M1: 10/13, M2: 10/13, q1: 6/13, q2: 8/13, phi1: 4/13}


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
44937 SO5adj1nf2 $q_1^3q_2$ + $ M_1\phi_1^2q_2$ 1.8017 1.9175 0.9396 [X:[], M:[0.8532], q:[0.5119, 0.4643], qb:[], phi:[0.3413]] t^2.05 + t^2.56 + t^2.79 + t^2.93 + t^3.07 + t^3.58 + t^3.95 + 2*t^4.1 + t^4.61 + 2*t^4.83 + 2*t^4.98 + 3*t^5.12 + t^5.35 + t^5.49 + t^5.57 + 2*t^5.63 + t^5.71 + t^5.86 + t^6. - t^4.02/y - t^5.42/y - t^5.56/y - t^4.02*y - t^5.42*y - t^5.56*y detail