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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
45076 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_3q_1q_2$ 1.8242 1.9545 0.9334 [X:[], M:[0.8194, 0.8194, 1.0835], q:[0.4582, 0.4582], qb:[], phi:[0.3612]] [X:[], M:[[-1, 2], [2, -1], [-3, -3]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ M_2$, $ M_1$, $ q_1^2$, $ q_2^2$, $ M_3$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_2^2$, $ \phi_1^2q_1^2$, $ M_1M_2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_2q_1^2$, $ M_1q_1^2$, $ M_2q_2^2$, $ M_1q_2^2$, $ M_3\phi_1^2$, $ q_1^4$, $ q_1^2q_2^2$, $ q_2^4$, $ M_2M_3$, $ M_1M_3$ $M_3q_1^2$, $ 2\phi_1^3q_1q_2$, $ M_3q_2^2$ 0 t^2.17 + 2*t^2.46 + 2*t^2.75 + t^3.25 + t^3.83 + 2*t^4.33 + 2*t^4.63 + 8*t^4.92 + 4*t^5.21 + t^5.42 + 3*t^5.5 + 2*t^5.71 + 2*t^6.29 + 3*t^6.5 + 2*t^6.58 + 2*t^6.79 + 8*t^7.08 + 14*t^7.37 + 2*t^7.58 + 15*t^7.67 + 2*t^7.88 + 6*t^7.96 + 4*t^8.17 + 4*t^8.25 - 2*t^8.46 + 4*t^8.67 + 2*t^8.75 + 4*t^8.96 - t^4.08/y - (2*t^5.46)/y - (2*t^6.25)/y - (2*t^6.54)/y - (2*t^6.83)/y - t^7.33/y - t^7.92/y - (2*t^8.42)/y + t^8.5/y - (2*t^8.71)/y - t^4.08*y - 2*t^5.46*y - 2*t^6.25*y - 2*t^6.54*y - 2*t^6.83*y - t^7.33*y - t^7.92*y - 2*t^8.42*y + t^8.5*y - 2*t^8.71*y t^2.17/(g1^2*g2^2) + (g1^2*t^2.46)/g2 + (g2^2*t^2.46)/g1 + g1^6*t^2.75 + g2^6*t^2.75 + t^3.25/(g1^3*g2^3) + g1^2*g2^2*t^3.83 + (2*t^4.33)/(g1^4*g2^4) + t^4.63/g1^3 + t^4.63/g2^3 + (3*g1^4*t^4.92)/g2^2 + 2*g1*g2*t^4.92 + (3*g2^4*t^4.92)/g1^2 + (g1^8*t^5.21)/g2 + g1^5*g2^2*t^5.21 + g1^2*g2^5*t^5.21 + (g2^8*t^5.21)/g1 + t^5.42/(g1^5*g2^5) + g1^12*t^5.5 + g1^6*g2^6*t^5.5 + g2^12*t^5.5 + t^5.71/(g1*g2^4) + t^5.71/(g1^4*g2) + g1^4*g2*t^6.29 + g1*g2^4*t^6.29 + (3*t^6.5)/(g1^6*g2^6) + g1^8*g2^2*t^6.58 + g1^2*g2^8*t^6.58 + t^6.79/(g1^2*g2^5) + t^6.79/(g1^5*g2^2) + (3*g1^2*t^7.08)/g2^4 + (2*t^7.08)/(g1*g2) + (3*g2^2*t^7.08)/g1^4 + 4*g1^3*t^7.37 + (3*g1^6*t^7.37)/g2^3 + 4*g2^3*t^7.37 + (3*g2^6*t^7.37)/g1^3 + (2*t^7.58)/(g1^7*g2^7) + (3*g1^10*t^7.67)/g2^2 + 2*g1^7*g2*t^7.67 + 5*g1^4*g2^4*t^7.67 + 2*g1*g2^7*t^7.67 + (3*g2^10*t^7.67)/g1^2 + t^7.88/(g1^3*g2^6) + t^7.88/(g1^6*g2^3) + (g1^14*t^7.96)/g2 + g1^11*g2^2*t^7.96 + g1^8*g2^5*t^7.96 + g1^5*g2^8*t^7.96 + g1^2*g2^11*t^7.96 + (g2^14*t^7.96)/g1 + (g1*t^8.17)/g2^5 + (2*t^8.17)/(g1^2*g2^2) + (g2*t^8.17)/g1^5 + g1^18*t^8.25 + g1^12*g2^6*t^8.25 + g1^6*g2^12*t^8.25 + g2^18*t^8.25 - (g1^2*t^8.46)/g2 - (g2^2*t^8.46)/g1 + (4*t^8.67)/(g1^8*g2^8) + g1^6*t^8.75 + g2^6*t^8.75 + (2*t^8.96)/(g1^4*g2^7) + (2*t^8.96)/(g1^7*g2^4) - t^4.08/(g1*g2*y) - (g1^2*t^5.46)/(g2*y) - (g2^2*t^5.46)/(g1*y) - (2*t^6.25)/(g1^3*g2^3*y) - (g1*t^6.54)/(g2^2*y) - (g2*t^6.54)/(g1^2*y) - (g1^5*t^6.83)/(g2*y) - (g2^5*t^6.83)/(g1*y) - t^7.33/(g1^4*g2^4*y) - (g1*g2*t^7.92)/y - (2*t^8.42)/(g1^5*g2^5*y) + (g1^6*g2^6*t^8.5)/y - t^8.71/(g1*g2^4*y) - t^8.71/(g1^4*g2*y) - (t^4.08*y)/(g1*g2) - (g1^2*t^5.46*y)/g2 - (g2^2*t^5.46*y)/g1 - (2*t^6.25*y)/(g1^3*g2^3) - (g1*t^6.54*y)/g2^2 - (g2*t^6.54*y)/g1^2 - (g1^5*t^6.83*y)/g2 - (g2^5*t^6.83*y)/g1 - (t^7.33*y)/(g1^4*g2^4) - g1*g2*t^7.92*y - (2*t^8.42*y)/(g1^5*g2^5) + g1^6*g2^6*t^8.5*y - (t^8.71*y)/(g1*g2^4) - (t^8.71*y)/(g1^4*g2)


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
45144 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_3q_1q_2$ + $ M_4q_2^2$ 1.8196 1.947 0.9345 [X:[], M:[0.8438, 0.8044, 1.0552, 1.0158], q:[0.4527, 0.4921], qb:[], phi:[0.3517]] t^2.11 + t^2.41 + t^2.53 + t^2.72 + t^3.05 + t^3.17 + t^3.89 + 2*t^4.22 + t^4.52 + t^4.64 + 3*t^4.83 + 2*t^4.94 + 2*t^5.06 + t^5.13 + t^5.16 + t^5.25 + t^5.28 + t^5.43 + t^5.46 + 2*t^5.58 + t^5.7 + t^5.76 - t^4.06/y - t^5.41/y - t^5.53/y - t^4.06*y - t^5.41*y - t^5.53*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
44936 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ 1.833 1.9716 0.9297 [X:[], M:[0.8153, 0.8153], q:[0.4458, 0.4458], qb:[], phi:[0.3695]] t^2.22 + 2*t^2.45 + 3*t^2.67 + t^3.78 + 2*t^4.43 + 2*t^4.66 + 9*t^4.89 + 6*t^5.12 + 6*t^5.35 - 2*t^6. - t^4.11/y - (2*t^5.45)/y - t^4.11*y - 2*t^5.45*y detail