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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
8276 SO5adj1nf1 $\phi_1^2X_1$ + $ M_1q_1^2$ 1.1539 1.1671 0.9886 [X:[1.5746], M:[1.2761], q:[0.3619], qb:[], phi:[0.2127]] [X:[[2]], M:[[-6]], q:[[3]], qb:[], phi:[[-1]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2q_1$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ M_1$, $ \phi_1^4q_1^2$, $ X_1$, $ \phi_1^6q_1$, $ \phi_1^8$, $ \phi_1^4q_1^3$ $\phi_1^6q_1^2$ 0 t^2.36 + t^2.55 + t^3.45 + t^3.83 + 2*t^4.72 + t^4.91 + t^5.1 + t^5.81 + t^6.38 + t^6.9 + 2*t^7.09 + 3*t^7.28 + t^7.47 + 2*t^7.66 + t^8.17 + t^8.36 + 2*t^8.55 + t^8.93 + t^8.36/y^2 + t^8.55/y^2 - t^3.64/y - t^4.72/y - t^4.91/y - t^6./y - t^6.19/y - t^7.09/y - t^7.28/y - (2*t^7.47)/y + t^7.91/y - t^8.17/y - t^8.36/y - t^8.55/y - (2*t^8.74)/y + t^8.81/y - t^3.64*y - t^4.72*y - t^4.91*y - t^6.*y - t^6.19*y - t^7.09*y - t^7.28*y - 2*t^7.47*y + t^7.91*y - t^8.17*y - t^8.36*y - t^8.55*y - 2*t^8.74*y + t^8.81*y + t^8.36*y^2 + t^8.55*y^2 g1*t^2.36 + t^2.55/g1^4 + g1^4*t^3.45 + t^3.83/g1^6 + 2*g1^2*t^4.72 + t^4.91/g1^3 + t^5.1/g1^8 + g1^5*t^5.81 + t^6.38/g1^10 + g1^8*t^6.9 + 2*g1^3*t^7.09 + (3*t^7.28)/g1^2 + t^7.47/g1^7 + (2*t^7.66)/g1^12 + g1^6*t^8.17 + g1*t^8.36 + (2*t^8.55)/g1^4 + t^8.93/g1^14 + (g1*t^8.36)/y^2 + t^8.55/(g1^4*y^2) - t^3.64/(g1*y) - (g1^2*t^4.72)/y - t^4.91/(g1^3*y) - t^6./y - t^6.19/(g1^5*y) - (g1^3*t^7.09)/y - t^7.28/(g1^2*y) - (2*t^7.47)/(g1^7*y) + t^7.91/(g1^3*y) - (g1^6*t^8.17)/y - (g1*t^8.36)/y - t^8.55/(g1^4*y) - (2*t^8.74)/(g1^9*y) + (g1^5*t^8.81)/y - (t^3.64*y)/g1 - g1^2*t^4.72*y - (t^4.91*y)/g1^3 - t^6.*y - (t^6.19*y)/g1^5 - g1^3*t^7.09*y - (t^7.28*y)/g1^2 - (2*t^7.47*y)/g1^7 + (t^7.91*y)/g1^3 - g1^6*t^8.17*y - g1*t^8.36*y - (t^8.55*y)/g1^4 - (2*t^8.74*y)/g1^9 + g1^5*t^8.81*y + g1*t^8.36*y^2 + (t^8.55*y^2)/g1^4


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
8289 $\phi_1^2X_1$ + $ M_1q_1^2$ + $ M_2\phi_1^2q_1$ 1.1367 1.1367 1 [X:[1.5774], M:[1.2679, 1.2113], q:[0.366], qb:[], phi:[0.2113]] t^2.54 + t^3.46 + t^3.63 + t^3.8 + t^4.73 + t^5.07 - t^3.63/y - t^4.73/y - t^4.9/y - t^3.63*y - t^4.73*y - t^4.9*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
44957 SO5adj1nf2 $M_1q_1^2$ + $ q_2^2$ + $ \phi_1^2X_1$ 1.1539 1.1671 0.9886 [X:[1.5746], M:[1.2761], q:[0.3619, 1.0], qb:[], phi:[0.2127]] t^2.36 + t^2.55 + t^3.45 + t^3.83 + 2*t^4.72 + t^4.91 + t^5.1 + t^5.81 - t^3.64/y - t^4.72/y - t^4.91/y - t^6./y - t^3.64*y - t^4.72*y - t^4.91*y - t^6.*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
8273 SO5adj1nf1 $\phi_1^2X_1$ 1.1741 1.206 0.9736 [X:[1.5686], M:[], q:[0.3528], qb:[], phi:[0.2157]] t^2.12 + t^2.35 + t^2.59 + t^3.41 + t^4.23 + t^4.47 + 3*t^4.71 + t^4.94 + t^5.18 + t^5.53 + t^5.76 - t^3.65/y - t^4.71/y - t^4.94/y - t^5.76/y - t^6./y - t^3.65*y - t^4.71*y - t^4.94*y - t^5.76*y - t^6.*y detail