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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
45432 SO5adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ + $ M_5q_2^2$ + $ M_1M_2$ 1.8023 1.9413 0.9284 [X:[], M:[1.2, 0.8, 0.8126, 0.7874, 1.1748], q:[0.3874, 0.4126], qb:[], phi:[0.4]] [X:[], M:[[0], [0], [1], [-1], [-2]], q:[[-1], [1]], qb:[], phi:[[0]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_1^2$, $ M_4$, $ M_2$, $ \phi_1^2$, $ M_3$, $ M_5$, $ M_1$, $ q_1^4$, $ M_4q_1^2$, $ M_4^2$, $ M_2q_1^2$, $ \phi_1^2q_1^2$, $ M_2M_4$, $ M_4\phi_1^2$, $ M_3q_1^2$, $ M_2^2$, $ M_3M_4$, $ M_2\phi_1^2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ M_2M_3$, $ M_3\phi_1^2$, $ M_3^2$, $ \phi_1^2q_2^2$, $ M_5q_1^2$, $ M_4M_5$, $ M_2M_5$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_3M_5$ $M_1\phi_1^2$, $ \phi_1^3q_1q_2$ 1 t^2.32 + t^2.36 + 2*t^2.4 + t^2.44 + t^3.52 + t^3.6 + t^4.65 + t^4.69 + 4*t^4.72 + 3*t^4.76 + 6*t^4.8 + 2*t^4.84 + 2*t^4.88 + t^5.85 + t^5.89 + 2*t^5.92 + 2*t^5.96 + t^6. + t^6.04 - t^6.08 + t^6.97 + t^7.01 + 5*t^7.05 + 5*t^7.09 + 10*t^7.12 + 8*t^7.16 + 11*t^7.2 + 6*t^7.24 + 3*t^7.28 + 2*t^7.31 + t^8.17 + t^8.21 + 4*t^8.25 + 3*t^8.29 + 5*t^8.32 + 2*t^8.36 + 3*t^8.4 - t^8.44 - 2*t^8.48 - t^8.51 - t^4.2/y - t^5.36/y - t^5.44/y - t^6.52/y - t^6.56/y - (3*t^6.6)/y - t^6.64/y - t^7.88/y - t^8.89/y - t^8.92/y - (2*t^8.96)/y - t^4.2*y - t^5.36*y - t^5.44*y - t^6.52*y - t^6.56*y - 3*t^6.6*y - t^6.64*y - t^7.88*y - t^8.89*y - t^8.92*y - 2*t^8.96*y t^2.32/g1^2 + t^2.36/g1 + 2*t^2.4 + g1*t^2.44 + t^3.52/g1^2 + t^3.6 + t^4.65/g1^4 + t^4.69/g1^3 + (4*t^4.72)/g1^2 + (3*t^4.76)/g1 + 6*t^4.8 + 2*g1*t^4.84 + 2*g1^2*t^4.88 + t^5.85/g1^4 + t^5.89/g1^3 + (2*t^5.92)/g1^2 + (2*t^5.96)/g1 + t^6. + g1*t^6.04 - g1^2*t^6.08 + t^6.97/g1^6 + t^7.01/g1^5 + (5*t^7.05)/g1^4 + (5*t^7.09)/g1^3 + (10*t^7.12)/g1^2 + (8*t^7.16)/g1 + 11*t^7.2 + 6*g1*t^7.24 + 3*g1^2*t^7.28 + 2*g1^3*t^7.31 + t^8.17/g1^6 + t^8.21/g1^5 + (4*t^8.25)/g1^4 + (3*t^8.29)/g1^3 + (5*t^8.32)/g1^2 + (2*t^8.36)/g1 + 3*t^8.4 - g1*t^8.44 - 2*g1^2*t^8.48 - g1^3*t^8.51 - t^4.2/y - t^5.36/(g1*y) - (g1*t^5.44)/y - t^6.52/(g1^2*y) - t^6.56/(g1*y) - (3*t^6.6)/y - (g1*t^6.64)/y - (g1^2*t^7.88)/y - t^8.89/(g1^3*y) - t^8.92/(g1^2*y) - (2*t^8.96)/(g1*y) - t^4.2*y - (t^5.36*y)/g1 - g1*t^5.44*y - (t^6.52*y)/g1^2 - (t^6.56*y)/g1 - 3*t^6.6*y - g1*t^6.64*y - g1^2*t^7.88*y - (t^8.89*y)/g1^3 - (t^8.92*y)/g1^2 - (2*t^8.96*y)/g1


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
45569 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ + $ M_5q_2^2$ + $ M_1M_2$ + $ M_1M_6$ 1.8188 1.9703 0.9231 [X:[], M:[1.2, 0.8, 0.8126, 0.7874, 1.1748, 0.8], q:[0.3874, 0.4126], qb:[], phi:[0.4]] t^2.32 + t^2.36 + 3*t^2.4 + t^2.44 + t^3.52 + t^4.65 + t^4.69 + 5*t^4.72 + 4*t^4.76 + 9*t^4.8 + 3*t^4.84 + 2*t^4.88 + t^5.85 + t^5.89 + 2*t^5.92 + t^5.96 - t^6. - t^4.2/y - t^5.36/y - t^5.44/y - t^4.2*y - t^5.36*y - t^5.44*y detail


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
45262 SO5adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ + $ M_5q_2^2$ 1.8401 1.9862 0.9264 [X:[], M:[1.0515, 0.701, 0.8445, 0.805, 1.0119], q:[0.4545, 0.494], qb:[], phi:[0.3505]] 2*t^2.1 + t^2.41 + t^2.53 + t^2.73 + t^3.04 + t^3.15 + 4*t^4.21 + 2*t^4.52 + 2*t^4.64 + 4*t^4.83 + 2*t^4.95 + 2*t^5.07 + 3*t^5.14 + 3*t^5.26 + 2*t^5.45 + 2*t^5.57 + t^5.69 + t^5.76 - t^6. - t^4.05/y - t^5.41/y - t^5.53/y - t^4.05*y - t^5.41*y - t^5.53*y detail