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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
8208 Sp2adj1nf1 $\phi_1^2X_1$ + $ \phi_1q_1^2q_2^2$ + $ M_1\phi_1q_1q_2$ 1.1667 1.2917 0.9032 [X:[1.6364], M:[0.9091], q:[0.4545, 0.4545], qb:[], phi:[0.1818]] [X:[[0]], M:[[0]], q:[[-1], [1]], qb:[], phi:[[0]]] 1 {a: 12423/10648, c: 6877/5324, X1: 18/11, M1: 10/11, q1: 5/11, q2: 5/11, phi1: 2/11}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^4$, $ M_1$, $ q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_2^2$, $ M_1\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1^2$, $ \phi_1^5q_1^2$, $ M_1q_1q_2$, $ \phi_1^5q_2^2$, $ q_1^2q_2^2$, $ \phi_1^5q_1^2$, $ \phi_1^5q_2^2$ $M_1\phi_1q_1^2$, $ \phi_1^6q_1q_2$, $ M_1\phi_1q_2^2$ 1 t^2.18 + 2*t^2.73 + 2*t^3.27 + t^3.82 + 4*t^4.36 + 3*t^4.91 + 5*t^5.45 + t^6. + 6*t^6.55 + 8*t^7.09 + 10*t^7.64 + 8*t^8.18 + 8*t^8.73 + t^8.18/y^2 - t^8.73/y^2 - t^3.55/y - t^4.64/y - t^5.73/y - (2*t^6.27)/y - (3*t^6.82)/y - (2*t^7.36)/y - t^7.91/y + t^8.45/y - t^3.55*y - t^4.64*y - t^5.73*y - 2*t^6.27*y - 3*t^6.82*y - 2*t^7.36*y - t^7.91*y + t^8.45*y + t^8.18*y^2 - t^8.73*y^2 t^2.18 + 2*t^2.73 + t^3.27/g1^2 + g1^2*t^3.27 + t^3.82 + 2*t^4.36 + t^4.36/g1^2 + g1^2*t^4.36 + 3*t^4.91 + 3*t^5.45 + t^5.45/g1^2 + g1^2*t^5.45 - t^6. + t^6./g1^2 + g1^2*t^6. + 4*t^6.55 + t^6.55/g1^4 + g1^4*t^6.55 + 4*t^7.09 + (2*t^7.09)/g1^2 + 2*g1^2*t^7.09 + 6*t^7.64 + t^7.64/g1^4 + t^7.64/g1^2 + g1^2*t^7.64 + g1^4*t^7.64 + 4*t^8.18 + (2*t^8.18)/g1^2 + 2*g1^2*t^8.18 + (2*t^8.73)/g1^4 + (2*t^8.73)/g1^2 + 2*g1^2*t^8.73 + 2*g1^4*t^8.73 + t^8.18/y^2 - t^8.73/y^2 - t^3.55/y - t^4.64/y - t^5.73/y - (2*t^6.27)/y - t^6.82/y - t^6.82/(g1^2*y) - (g1^2*t^6.82)/y - (2*t^7.36)/y + t^7.91/y - t^7.91/(g1^2*y) - (g1^2*t^7.91)/y - t^8.45/y + t^8.45/(g1^2*y) + (g1^2*t^8.45)/y - t^3.55*y - t^4.64*y - t^5.73*y - 2*t^6.27*y - t^6.82*y - (t^6.82*y)/g1^2 - g1^2*t^6.82*y - 2*t^7.36*y + t^7.91*y - (t^7.91*y)/g1^2 - g1^2*t^7.91*y - t^8.45*y + (t^8.45*y)/g1^2 + g1^2*t^8.45*y + t^8.18*y^2 - t^8.73*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
8411 $\phi_1^2X_1$ + $ \phi_1q_1^2q_2^2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_1^2$ 1.1769 1.3102 0.8982 [X:[1.6364], M:[0.9091, 0.8664], q:[0.4759, 0.4332], qb:[], phi:[0.1818]] t^2.18 + t^2.6 + 2*t^2.73 + t^3.14 + t^3.82 + t^4.24 + 2*t^4.36 + t^4.49 + t^4.78 + 3*t^4.91 + t^5.2 + 3*t^5.33 + 3*t^5.45 + t^5.74 + t^5.87 - t^6. - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y detail
8415 $\phi_1^2X_1$ + $ \phi_1q_1^2q_2^2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1^2q_1q_2$ 1.1866 1.3286 0.8931 [X:[1.6364], M:[0.9091, 0.7273], q:[0.4545, 0.4545], qb:[], phi:[0.1818]] 2*t^2.18 + 2*t^2.73 + 2*t^3.27 + 6*t^4.36 + 5*t^4.91 + 7*t^5.45 - t^3.55/y - t^4.64/y - (2*t^5.73)/y - t^3.55*y - t^4.64*y - 2*t^5.73*y detail {a: 25269/21296, c: 14147/10648, X1: 18/11, M1: 10/11, M2: 8/11, q1: 5/11, q2: 5/11, phi1: 2/11}
8405 $\phi_1^2X_1$ + $ \phi_1q_1^2q_2^2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1^4$ 1.1468 1.2548 0.914 [X:[1.6364], M:[0.9091, 1.2727], q:[0.4545, 0.4545], qb:[], phi:[0.1818]] 2*t^2.73 + 2*t^3.27 + 2*t^3.82 + 3*t^4.36 + t^4.91 + 3*t^5.45 - t^3.55/y - t^4.64/y - t^3.55*y - t^4.64*y detail {a: 24423/21296, c: 13361/10648, X1: 18/11, M1: 10/11, M2: 14/11, q1: 5/11, q2: 5/11, phi1: 2/11}
8400 $\phi_1^2X_1$ + $ \phi_1q_1^2q_2^2$ + $ M_1\phi_1q_1q_2$ + $ \phi_1^3q_1^2$ + $ \phi_1q_2^2X_2$ 0.8766 0.9732 0.9008 [X:[1.6364, 1.4545], M:[0.9091], q:[0.7273, 0.1818], qb:[], phi:[0.1818]] t^2.18 + 3*t^2.73 + t^3.82 + 2*t^4.36 + 4*t^4.91 + 5*t^5.45 - t^6. - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y detail {a: 18669/21296, c: 10363/10648, X1: 18/11, X2: 16/11, M1: 10/11, q1: 8/11, q2: 2/11, phi1: 2/11}
8403 $\phi_1^2X_1$ + $ \phi_1q_1^2q_2^2$ + $ M_1\phi_1q_1q_2$ + $ \phi_1^5q_1^2$ 1.1363 1.2613 0.9009 [X:[1.6364], M:[0.9091], q:[0.5455, 0.3636], qb:[], phi:[0.1818]] t^2.18 + 3*t^2.73 + 3*t^3.82 + 2*t^4.36 + 5*t^4.91 + 5*t^5.45 - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y detail {a: 12099/10648, c: 6715/5324, X1: 18/11, M1: 10/11, q1: 6/11, q2: 4/11, 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
8187 Sp2adj1nf1 $\phi_1^2X_1$ + $ \phi_1q_1^2q_2^2$ 1.1584 1.2777 0.9066 [X:[1.6364], M:[], q:[0.4545, 0.4545], qb:[], phi:[0.1818]] t^2.18 + t^2.73 + 3*t^3.27 + t^3.82 + 4*t^4.36 + 2*t^4.91 + 4*t^5.45 - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y detail {a: 24669/21296, c: 13605/10648, X1: 18/11, q1: 5/11, q2: 5/11, phi1: 2/11}