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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
8290 SO5adj1nf1 $\phi_1^2X_1$ + $ M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_1^2$ 1.1699 1.1961 0.9781 [X:[1.5805], M:[1.2098, 0.8391], q:[0.3707], qb:[], phi:[0.2098]] [X:[[2]], M:[[-1], [-4]], q:[[3]], qb:[], phi:[[-1]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_1^2$, $ M_2$, $ \phi_1^4$, $ M_1$, $ q_1^4$, $ M_2q_1^2$, $ \phi_1^4q_1^2$, $ X_1$, $ M_2^2$, $ M_2\phi_1^4$, $ \phi_1^8$, $ M_1q_1^2$ . -1 t^2.22 + 2*t^2.52 + t^3.63 + t^4.45 + 3*t^4.74 + 3*t^5.03 + t^5.85 - t^6. + t^6.15 + t^6.67 + 3*t^6.97 + 6*t^7.26 + 4*t^7.55 + t^8.08 - 2*t^8.22 + 3*t^8.37 - t^8.52 + t^8.66 - 2*t^8.85 + t^8.9 + t^8.37/y^2 + t^8.52/y^2 - t^8.85/y^2 - t^3.63/y - t^4.74/y - t^4.89/y - t^5.85/y - (2*t^6.15)/y - t^6.97/y - (2*t^7.26)/y - (2*t^7.41)/y + (2*t^7.74)/y + t^8.03/y - t^8.08/y - (2*t^8.37)/y - (3*t^8.66)/y + t^8.85/y - t^3.63*y - t^4.74*y - t^4.89*y - t^5.85*y - 2*t^6.15*y - t^6.97*y - 2*t^7.26*y - 2*t^7.41*y + 2*t^7.74*y + t^8.03*y - t^8.08*y - 2*t^8.37*y - 3*t^8.66*y + t^8.85*y + t^8.37*y^2 + t^8.52*y^2 - t^8.85*y^2 g1^6*t^2.22 + (2*t^2.52)/g1^4 + t^3.63/g1 + g1^12*t^4.45 + 3*g1^2*t^4.74 + (3*t^5.03)/g1^8 + g1^5*t^5.85 - t^6. + t^6.15/g1^5 + g1^18*t^6.67 + 3*g1^8*t^6.97 + (6*t^7.26)/g1^2 + (4*t^7.55)/g1^12 + g1^11*t^8.08 - 2*g1^6*t^8.22 + 3*g1*t^8.37 - t^8.52/g1^4 + t^8.66/g1^9 - 2*g1^5*t^8.85 + g1^24*t^8.9 + (g1*t^8.37)/y^2 + t^8.52/(g1^4*y^2) - (g1^5*t^8.85)/y^2 - t^3.63/(g1*y) - (g1^2*t^4.74)/y - t^4.89/(g1^3*y) - (g1^5*t^5.85)/y - (2*t^6.15)/(g1^5*y) - (g1^8*t^6.97)/y - (2*t^7.26)/(g1^2*y) - (2*t^7.41)/(g1^7*y) + (2*g1^2*t^7.74)/y + t^8.03/(g1^8*y) - (g1^11*t^8.08)/y - (2*g1*t^8.37)/y - (3*t^8.66)/(g1^9*y) + (g1^5*t^8.85)/y - (t^3.63*y)/g1 - g1^2*t^4.74*y - (t^4.89*y)/g1^3 - g1^5*t^5.85*y - (2*t^6.15*y)/g1^5 - g1^8*t^6.97*y - (2*t^7.26*y)/g1^2 - (2*t^7.41*y)/g1^7 + 2*g1^2*t^7.74*y + (t^8.03*y)/g1^8 - g1^11*t^8.08*y - 2*g1*t^8.37*y - (3*t^8.66*y)/g1^9 + g1^5*t^8.85*y + g1*t^8.37*y^2 + (t^8.52*y^2)/g1^4 - g1^5*t^8.85*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
8304 $\phi_1^2X_1$ + $ M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_1^2$ + $ M_3q_1^2$ 1.1511 1.1623 0.9903 [X:[1.5902], M:[1.2049, 0.8197, 1.2295], q:[0.3853], qb:[], phi:[0.2049]] 2*t^2.46 + t^3.61 + t^3.69 + t^4.77 + 3*t^4.92 - t^6. - t^3.61/y - t^4.77/y - t^4.84/y - t^3.61*y - t^4.77*y - t^4.84*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
45079 SO5adj1nf2 $q_1^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_2$ + $ M_2\phi_1^2q_2^2$ 1.1699 1.1961 0.9781 [X:[1.5805], M:[1.2098, 0.8391], q:[1.0, 0.3707], qb:[], phi:[0.2098]] t^2.22 + 2*t^2.52 + t^3.63 + t^4.45 + 3*t^4.74 + 3*t^5.03 + t^5.85 - t^6. - t^3.63/y - t^4.74/y - t^4.89/y - t^5.85/y - t^3.63*y - t^4.74*y - t^4.89*y - t^5.85*y detail


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
8280 SO5adj1nf1 $\phi_1^2X_1$ + $ M_1\phi_1^2q_1$ 1.1567 1.1748 0.9846 [X:[1.5704], M:[1.2148], q:[0.3557], qb:[], phi:[0.2148]] t^2.13 + t^2.58 + t^3.42 + t^3.64 + t^4.27 + 2*t^4.71 + t^5.15 + t^5.56 + t^5.78 - t^3.64/y - t^4.71/y - t^4.93/y - t^5.78/y - t^3.64*y - t^4.71*y - t^4.93*y - t^5.78*y detail