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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
45758 SU3adj1nf1 $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1q_1^2\tilde{q}_1^2$ 0.9109 0.9563 0.9525 [X:[1.6364, 1.4545], M:[], q:[0.4545], qb:[0.4545], phi:[0.1818]] [X:[[0], [0]], M:[], q:[[-1]], qb:[[1]], phi:[[0]]] 1 {a: 9699/10648, c: 10183/10648, X1: 18/11, X2: 16/11, q1: 5/11, qb1: 5/11, phi1: 2/11}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_1$, $ X_2$, $ X_1$, $ q_1^2\tilde{q}_1^2$, $ \phi_1^3q_1^3$, $ \phi_1^3\tilde{q}_1^3$ . -1 t^2.73 + t^3.27 + t^3.82 + t^4.36 + t^4.91 + t^5.45 + 2*t^5.73 - t^6. + t^6.55 + 2*t^7.09 + 4*t^7.64 - 2*t^7.91 + 3*t^8.18 + t^8.73 + t^7.64/y^2 - t^3.55/y - t^4.09/y - t^6.27/y - t^6.82/y - t^7.36/y - t^7.91/y - t^8.45/y - t^3.55*y - t^4.09*y - t^6.27*y - t^6.82*y - t^7.36*y - t^7.91*y - t^8.45*y + t^7.64*y^2 t^2.73 + t^3.27 + t^3.82 + t^4.36 + t^4.91 + t^5.45 + t^5.73/g1^3 + g1^3*t^5.73 - t^6. + t^6.55 + 2*t^7.09 + 4*t^7.64 - t^7.91/g1^3 - g1^3*t^7.91 + 3*t^8.18 + t^8.73 + t^7.64/y^2 - t^3.55/y - t^4.09/y - t^6.27/y - t^6.82/y - t^7.36/y - t^7.91/y - t^8.45/y - t^3.55*y - t^4.09*y - t^6.27*y - t^6.82*y - t^7.36*y - t^7.91*y - t^8.45*y + t^7.64*y^2


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
45769 $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1q_1^2\tilde{q}_1^2$ + $ M_1\phi_1q_1\tilde{q}_1$ 0.9192 0.9703 0.9473 [X:[1.6364, 1.4545], M:[0.9091], q:[0.4545], qb:[0.4545], phi:[0.1818]] 2*t^2.73 + t^3.82 + t^4.36 + t^4.91 + 3*t^5.45 + 2*t^5.73 - 2*t^6. - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y detail {a: 19575/21296, c: 2583/2662, X1: 18/11, X2: 16/11, M1: 10/11, q1: 5/11, qb1: 5/11, phi1: 2/11}
45766 $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1q_1^2\tilde{q}_1^2$ + $ M_1\phi_1^2q_1\tilde{q}_1$ 0.9307 0.9932 0.9371 [X:[1.6364, 1.4545], M:[0.7273], q:[0.4545], qb:[0.4545], phi:[0.1818]] t^2.18 + t^2.73 + t^3.27 + 2*t^4.36 + 2*t^4.91 + 2*t^5.45 + 2*t^5.73 - t^6. - t^3.55/y - t^4.09/y - t^5.73/y - t^3.55*y - t^4.09*y - t^5.73*y detail {a: 19821/21296, c: 1322/1331, X1: 18/11, X2: 16/11, M1: 8/11, q1: 5/11, qb1: 5/11, phi1: 2/11}
45765 $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1q_1^2\tilde{q}_1^2$ + $ M_1q_1\tilde{q}_1$ 0.9026 0.9423 0.9578 [X:[1.6364, 1.4545], M:[1.0909], q:[0.4545], qb:[0.4545], phi:[0.1818]] 2*t^3.27 + t^3.82 + t^4.36 + t^4.91 + 2*t^5.73 - 2*t^6. - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y detail {a: 19221/21296, c: 5017/5324, X1: 18/11, X2: 16/11, M1: 12/11, q1: 5/11, qb1: 5/11, phi1: 2/11}
45762 $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ \phi_1q_1^2\tilde{q}_1^2$ + $ \phi_1^3q_1^3$ 0.9083 0.9538 0.9523 [X:[1.6364, 1.4545], M:[], q:[0.4848], qb:[0.4242], phi:[0.1818]] t^2.73 + t^3.27 + t^3.82 + t^4.36 + t^4.91 + 2*t^5.45 - t^3.55/y - t^4.09/y - t^3.55*y - t^4.09*y detail {a: 1209/1331, c: 2539/2662, X1: 18/11, X2: 16/11, q1: 16/33, qb1: 14/33, phi1: 2/11}


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
45755 SU3adj1nf1 $\phi_1^2X_1$ + $ \phi_1^3X_2$ 0.9113 0.9605 0.9488 [X:[1.6284, 1.4426], M:[], q:[0.4426], qb:[0.4426], phi:[0.1858]] t^2.66 + t^3.21 + t^3.77 + t^4.33 + t^4.89 + t^5.31 + 2*t^5.66 + t^5.87 - 2*t^6. - t^3.56/y - t^4.11/y - t^3.56*y - t^4.11*y detail