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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
8915 Sp2adj1nf1 $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1^3q_2^2$ + $ M_4\phi_1q_1q_2$ + $ M_1M_4$ 1.1324 1.287 0.8799 [X:[1.5789], M:[0.9474, 1.1579, 0.7368, 1.0526], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] 0 {a: 124275/109744, c: 70621/54872, X1: 30/19, M1: 18/19, M2: 22/19, M3: 14/19, M4: 20/19, q1: 8/19, q2: 6/19, phi1: 4/19}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_3$, $ q_1q_2$, $ \phi_1^4$, $ M_1$, $ M_4$, $ M_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1q_2$, $ M_3^2$, $ \phi_1^3q_1^2$, $ M_3q_1q_2$, $ q_1^2q_2^2$, $ M_3\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1M_3$, $ \phi_1^8$, $ M_1q_1q_2$, $ M_3M_4$, $ M_1\phi_1^4$, $ M_4q_1q_2$, $ M_1^2$, $ M_2M_3$, $ M_4\phi_1^4$, $ M_2q_1q_2$, $ M_3\phi_1^2q_1q_2$, $ \phi_1^2q_1^2q_2^2$ $\phi_1^6q_1q_2$ 1 2*t^2.21 + t^2.53 + t^2.84 + t^3.16 + 2*t^3.47 + t^4.11 + 4*t^4.42 + 3*t^4.74 + 3*t^5.05 + 3*t^5.37 + 5*t^5.68 + t^6. + 3*t^6.32 + 8*t^6.63 + 7*t^6.95 + 6*t^7.26 + 7*t^7.58 + 10*t^7.89 + 3*t^8.21 + 7*t^8.53 + 8*t^8.84 + t^8.53/y^2 - (2*t^8.84)/y^2 - t^3.63/y - t^4.89/y - (2*t^5.84)/y - t^6.16/y - t^6.47/y - t^6.79/y - (3*t^7.11)/y + t^7.42/y + t^7.74/y - (2*t^8.05)/y + (3*t^8.68)/y - t^3.63*y - t^4.89*y - 2*t^5.84*y - t^6.16*y - t^6.47*y - t^6.79*y - 3*t^7.11*y + t^7.42*y + t^7.74*y - 2*t^8.05*y + 3*t^8.68*y + t^8.53*y^2 - 2*t^8.84*y^2 2*t^2.21 + t^2.53 + t^2.84 + t^3.16 + 2*t^3.47 + t^4.11 + 4*t^4.42 + 3*t^4.74 + 3*t^5.05 + 3*t^5.37 + 5*t^5.68 + t^6. + 3*t^6.32 + 8*t^6.63 + 7*t^6.95 + 6*t^7.26 + 7*t^7.58 + 10*t^7.89 + 3*t^8.21 + 7*t^8.53 + 8*t^8.84 + t^8.53/y^2 - (2*t^8.84)/y^2 - t^3.63/y - t^4.89/y - (2*t^5.84)/y - t^6.16/y - t^6.47/y - t^6.79/y - (3*t^7.11)/y + t^7.42/y + t^7.74/y - (2*t^8.05)/y + (3*t^8.68)/y - t^3.63*y - t^4.89*y - 2*t^5.84*y - t^6.16*y - t^6.47*y - t^6.79*y - 3*t^7.11*y + t^7.42*y + t^7.74*y - 2*t^8.05*y + 3*t^8.68*y + t^8.53*y^2 - 2*t^8.84*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
8943 $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1^3q_2^2$ + $ M_4\phi_1q_1q_2$ + $ M_1M_4$ + $ M_1M_5$ 1.1275 1.2788 0.8817 [X:[1.5789], M:[0.9474, 1.1579, 0.7368, 1.0526, 1.0526], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] 2*t^2.21 + t^2.53 + 2*t^3.16 + 2*t^3.47 + t^4.11 + 4*t^4.42 + 3*t^4.74 + t^5.05 + 4*t^5.37 + 5*t^5.68 - t^3.63/y - t^4.89/y - (2*t^5.84)/y - t^3.63*y - t^4.89*y - 2*t^5.84*y detail {a: 61869/54872, c: 17543/13718, X1: 30/19, M1: 18/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 20/19, q1: 8/19, q2: 6/19, phi1: 4/19}
9003 $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1^3q_2^2$ + $ M_4\phi_1q_1q_2$ + $ M_1M_4$ + $ M_4M_5$ 1.1373 1.2952 0.8781 [X:[1.5789], M:[0.9474, 1.1579, 0.7368, 1.0526, 0.9474], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] 2*t^2.21 + t^2.53 + 2*t^2.84 + 2*t^3.47 + t^4.11 + 4*t^4.42 + 3*t^4.74 + 5*t^5.05 + 2*t^5.37 + 6*t^5.68 - t^3.63/y - t^4.89/y - (2*t^5.84)/y - t^3.63*y - t^4.89*y - 2*t^5.84*y detail {a: 31203/27436, c: 35535/27436, X1: 30/19, M1: 18/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 18/19, q1: 8/19, q2: 6/19, phi1: 4/19}
8940 $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1^3q_2^2$ + $ M_4\phi_1q_1q_2$ + $ M_1M_4$ + $ M_5\phi_1^4$ 1.1187 1.2634 0.8854 [X:[1.5789], M:[0.9474, 1.1579, 0.7368, 1.0526, 1.1579], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] 2*t^2.21 + t^2.84 + t^3.16 + 3*t^3.47 + t^4.11 + 4*t^4.42 + t^4.74 + 2*t^5.05 + 2*t^5.37 + 6*t^5.68 - t^6. - t^3.63/y - t^4.89/y - (2*t^5.84)/y - t^3.63*y - t^4.89*y - 2*t^5.84*y detail {a: 30693/27436, c: 8666/6859, X1: 30/19, M1: 18/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 22/19, q1: 8/19, q2: 6/19, phi1: 4/19}


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
8810 Sp2adj1nf1 $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1^3q_2^2$ + $ M_4\phi_1q_1q_2$ 1.1349 1.2876 0.8814 [X:[1.5875], M:[0.8874, 1.175, 0.7625, 1.0312], q:[0.4532, 0.3094], qb:[], phi:[0.2062]] 2*t^2.29 + t^2.47 + t^2.66 + t^3.09 + 2*t^3.53 + t^4.14 + 4*t^4.58 + 3*t^4.76 + 3*t^4.95 + t^5.14 + t^5.32 + 2*t^5.38 + t^5.76 + 4*t^5.81 - t^3.62/y - t^4.86/y - (2*t^5.91)/y - t^3.62*y - t^4.86*y - 2*t^5.91*y detail