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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
45471 SO5adj1nf2 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ + $ M_4\phi_1^2$ + $ M_5q_2^2$ 1.7678 1.8572 0.9519 [X:[], M:[1.0642, 1.1396, 0.8604, 1.2905, 0.9888], q:[0.4302, 0.5056], qb:[], phi:[0.3547]] [X:[], M:[[-9], [-4], [4], [6], [-14]], q:[[2], [7]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_3$, $ M_5$, $ M_1$, $ M_2$, $ \phi_1^2q_2$, $ M_4$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_3^2$, $ \phi_1^2q_2^2$, $ M_3M_5$, $ M_5^2$ $\phi_1^3q_1q_2$ 0 t^2.58 + t^2.97 + t^3.19 + t^3.42 + t^3.65 + 2*t^3.87 + t^4.26 + t^4.71 + t^4.94 + 2*t^5.16 + t^5.55 + t^5.93 + t^6.16 + 2*t^6.39 + 2*t^6.45 + t^6.61 + 3*t^6.84 + 2*t^7.06 + t^7.22 + 3*t^7.29 + t^7.45 + 3*t^7.52 + 2*t^7.68 + 4*t^7.74 + 2*t^7.9 + 5*t^8.13 + t^8.35 + 2*t^8.51 + 2*t^8.58 + 2*t^8.81 + t^8.9 - t^4.06/y - t^5.35/y - t^5.58/y - t^6.19/y - t^6.65/y - t^7.03/y - t^7.26/y - t^7.48/y - t^7.71/y - (2*t^7.94)/y - t^8.16/y - (2*t^8.32)/y - t^8.77/y - t^4.06*y - t^5.35*y - t^5.58*y - t^6.19*y - t^6.65*y - t^7.03*y - t^7.26*y - t^7.48*y - t^7.71*y - 2*t^7.94*y - t^8.16*y - 2*t^8.32*y - t^8.77*y g1^4*t^2.58 + t^2.97/g1^14 + t^3.19/g1^9 + t^3.42/g1^4 + g1*t^3.65 + 2*g1^6*t^3.87 + t^4.26/g1^12 + t^4.71/g1^2 + g1^3*t^4.94 + 2*g1^8*t^5.16 + t^5.55/g1^10 + t^5.93/g1^28 + t^6.16/g1^23 + (2*t^6.39)/g1^18 + 2*g1^10*t^6.45 + t^6.61/g1^13 + (3*t^6.84)/g1^8 + (2*t^7.06)/g1^3 + t^7.22/g1^26 + 3*g1^2*t^7.29 + t^7.45/g1^21 + 3*g1^7*t^7.52 + (2*t^7.68)/g1^16 + 4*g1^12*t^7.74 + (2*t^7.9)/g1^11 + (5*t^8.13)/g1^6 + t^8.35/g1 + (2*t^8.51)/g1^24 + 2*g1^4*t^8.58 + 2*g1^9*t^8.81 + t^8.9/g1^42 - t^4.06/(g1^3*y) - t^5.35/(g1*y) - (g1^4*t^5.58)/y - t^6.19/(g1^9*y) - (g1*t^6.65)/y - t^7.03/(g1^17*y) - t^7.26/(g1^12*y) - t^7.48/(g1^7*y) - t^7.71/(g1^2*y) - (2*g1^3*t^7.94)/y - (g1^8*t^8.16)/y - (2*t^8.32)/(g1^15*y) - t^8.77/(g1^5*y) - (t^4.06*y)/g1^3 - (t^5.35*y)/g1 - g1^4*t^5.58*y - (t^6.19*y)/g1^9 - g1*t^6.65*y - (t^7.03*y)/g1^17 - (t^7.26*y)/g1^12 - (t^7.48*y)/g1^7 - (t^7.71*y)/g1^2 - 2*g1^3*t^7.94*y - g1^8*t^8.16*y - (2*t^8.32*y)/g1^15 - (t^8.77*y)/g1^5


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
45536 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ + $ M_4\phi_1^2$ + $ M_5q_2^2$ + $ M_6\phi_1^2q_2$ 1.7852 1.8881 0.9455 [X:[], M:[1.0626, 1.1389, 0.8611, 1.2916, 0.9862, 0.7847], q:[0.4305, 0.5069], qb:[], phi:[0.3542]] t^2.35 + t^2.58 + t^2.96 + t^3.19 + t^3.42 + 2*t^3.87 + t^4.25 + 2*t^4.71 + 2*t^4.94 + 2*t^5.17 + t^5.31 + 2*t^5.54 + t^5.77 + t^5.92 - t^4.06/y - t^5.35/y - t^5.58/y - t^4.06*y - t^5.35*y - t^5.58*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
45337 SO5adj1nf2 $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ + $ M_4\phi_1^2$ 1.7697 1.8616 0.9506 [X:[], M:[1.1037, 1.1572, 0.8428, 1.2642], q:[0.4214, 0.4749], qb:[], phi:[0.3679]] t^2.53 + t^2.85 + t^3.31 + t^3.47 + t^3.63 + 2*t^3.79 + t^4.41 + t^4.74 + t^4.9 + 2*t^5.06 + t^5.38 + t^5.7 - t^4.1/y - t^5.37/y - t^5.53/y - t^4.1*y - t^5.37*y - t^5.53*y detail