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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
45268 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_3q_2^2$ + $ M_2M_4$ 1.7787 1.89 0.9411 [X:[], M:[0.7732, 0.8907, 1.1257, 1.1093], q:[0.5546, 0.4371], qb:[], phi:[0.3361]] [X:[], M:[[5], [-2], [-16], [2]], q:[[1], [8]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ M_1$, $ q_1q_2$, $ M_4$, $ q_1^2$, $ M_3$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_1q_1q_2$, $ M_4\phi_1^2$, $ \phi_1^2q_1^2$, $ M_3\phi_1^2$, $ M_1M_4$, $ M_1q_1^2$, $ M_1M_3$, $ q_1^2q_2^2$ $2\phi_1^3q_1q_2$ 0 t^2.02 + t^2.32 + t^2.98 + 2*t^3.33 + t^3.38 + t^3.98 + 2*t^4.03 + t^4.34 + 2*t^4.64 + 2*t^4.99 + t^5.29 + 3*t^5.34 + t^5.39 + t^5.65 + t^5.7 + t^5.95 + 2*t^6.05 + 3*t^6.3 + t^6.35 + 4*t^6.66 + t^6.71 + t^6.75 + 3*t^6.96 + 2*t^7.01 + 4*t^7.31 + 5*t^7.36 + 2*t^7.41 + 2*t^7.61 + t^7.66 + t^7.71 + 5*t^7.97 + 2*t^8.02 + 3*t^8.07 + t^8.27 + 4*t^8.32 + t^8.37 + 2*t^8.62 + 5*t^8.67 + 2*t^8.72 + t^8.77 + t^8.93 + 2*t^8.98 - t^4.01/y - t^5.32/y - t^5.67/y - (2*t^6.02)/y - t^6.33/y - t^6.98/y - (2*t^7.34)/y - t^7.39/y - t^7.64/y - t^7.69/y - (3*t^8.04)/y + t^8.34/y + t^8.39/y - (2*t^8.65)/y + t^8.7/y - t^4.01*y - t^5.32*y - t^5.67*y - 2*t^6.02*y - t^6.33*y - t^6.98*y - 2*t^7.34*y - t^7.39*y - t^7.64*y - t^7.69*y - 3*t^8.04*y + t^8.34*y + t^8.39*y - 2*t^8.65*y + t^8.7*y t^2.02/g1^6 + g1^5*t^2.32 + g1^9*t^2.98 + 2*g1^2*t^3.33 + t^3.38/g1^16 + g1^6*t^3.98 + (2*t^4.03)/g1^12 + t^4.34/g1 + 2*g1^10*t^4.64 + 2*g1^3*t^4.99 + g1^14*t^5.29 + (3*t^5.34)/g1^4 + t^5.39/g1^22 + g1^7*t^5.65 + t^5.7/g1^11 + g1^18*t^5.95 + (2*t^6.05)/g1^18 + 3*g1^11*t^6.3 + t^6.35/g1^7 + 4*g1^4*t^6.66 + t^6.71/g1^14 + t^6.75/g1^32 + 3*g1^15*t^6.96 + (2*t^7.01)/g1^3 + 4*g1^8*t^7.31 + (5*t^7.36)/g1^10 + (2*t^7.41)/g1^28 + 2*g1^19*t^7.61 + g1*t^7.66 + t^7.71/g1^17 + 5*g1^12*t^7.97 + (2*t^8.02)/g1^6 + (3*t^8.07)/g1^24 + g1^23*t^8.27 + 4*g1^5*t^8.32 + t^8.37/g1^13 + 2*g1^16*t^8.62 + (5*t^8.67)/g1^2 + (2*t^8.72)/g1^20 + t^8.77/g1^38 + g1^27*t^8.93 + 2*g1^9*t^8.98 - t^4.01/(g1^3*y) - (g1^5*t^5.32)/y - t^5.67/(g1^2*y) - (2*t^6.02)/(g1^9*y) - (g1^2*t^6.33)/y - (g1^6*t^6.98)/y - (2*t^7.34)/(g1*y) - t^7.39/(g1^19*y) - (g1^10*t^7.64)/y - t^7.69/(g1^8*y) - (3*t^8.04)/(g1^15*y) + t^8.34/(g1^4*y) + t^8.39/(g1^22*y) - (2*g1^7*t^8.65)/y + t^8.7/(g1^11*y) - (t^4.01*y)/g1^3 - g1^5*t^5.32*y - (t^5.67*y)/g1^2 - (2*t^6.02*y)/g1^9 - g1^2*t^6.33*y - g1^6*t^6.98*y - (2*t^7.34*y)/g1 - (t^7.39*y)/g1^19 - g1^10*t^7.64*y - (t^7.69*y)/g1^8 - (3*t^8.04*y)/g1^15 + (t^8.34*y)/g1^4 + (t^8.39*y)/g1^22 - 2*g1^7*t^8.65*y + (t^8.7*y)/g1^11


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
45417 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_3q_2^2$ + $ M_2M_4$ + $ M_5\phi_1q_1q_2$ 1.7995 1.9314 0.9317 [X:[], M:[0.7735, 0.8906, 1.125, 1.1094, 0.6719], q:[0.5547, 0.4375], qb:[], phi:[0.3359]] 2*t^2.02 + t^2.32 + t^2.98 + 2*t^3.33 + t^3.37 + 4*t^4.03 + 2*t^4.34 + 2*t^4.64 + 3*t^4.99 + t^5.3 + 5*t^5.34 + 2*t^5.39 + t^5.65 + t^5.7 + t^5.95 - t^6. - t^4.01/y - t^5.32/y - t^5.67/y - t^4.01*y - t^5.32*y - t^5.67*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
45246 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_3q_2^2$ 1.7886 1.9067 0.9381 [X:[], M:[0.7755, 0.8898, 1.1184], q:[0.5551, 0.4408], qb:[], phi:[0.3347]] t^2.01 + t^2.33 + t^2.67 + t^2.99 + t^3.33 + t^3.36 + t^3.99 + 2*t^4.02 + t^4.33 + 2*t^4.65 + t^4.68 + 3*t^5. + t^5.31 + 3*t^5.34 + t^5.36 + t^5.66 + t^5.68 + t^5.98 + t^6. - t^4./y - t^5.33/y - t^5.67/y - t^4.*y - t^5.33*y - t^5.67*y detail