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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
45059 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_3\phi_1^2$ 1.8136 1.9371 0.9363 [X:[], M:[0.814, 0.814, 1.2562], q:[0.4421, 0.4421], qb:[], phi:[0.3719]] [X:[], M:[[-1, 2], [2, -1], [2, 2]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ M_1$, $ q_1^2$, $ q_1q_2$, $ q_2^2$, $ M_3$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ 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_1q_2$, $ M_1q_1q_2$, $ M_2q_2^2$, $ M_1q_2^2$, $ q_1^4$, $ q_1^3q_2$, $ q_1^2q_2^2$, $ q_1q_2^3$, $ q_2^4$ $\phi_1^3q_1q_2$ -3 2*t^2.44 + 3*t^2.65 + 2*t^3.77 + t^4.46 + 6*t^4.88 + 6*t^5.09 + 6*t^5.31 - 3*t^6. + 4*t^6.21 + 6*t^6.42 + 10*t^7.33 + 20*t^7.54 + 12*t^7.75 + 10*t^7.96 - t^8.23 - 8*t^8.44 + 12*t^8.86 + t^8.93 - t^4.12/y - (2*t^5.44)/y - t^6.35/y - (2*t^6.56)/y - (3*t^6.77)/y - (4*t^7.88)/y + (3*t^8.31)/y - t^8.58/y - t^4.12*y - 2*t^5.44*y - t^6.35*y - 2*t^6.56*y - 3*t^6.77*y - 4*t^7.88*y + 3*t^8.31*y - t^8.58*y (g1^2*t^2.44)/g2 + (g2^2*t^2.44)/g1 + g1^6*t^2.65 + g1^3*g2^3*t^2.65 + g2^6*t^2.65 + 2*g1^2*g2^2*t^3.77 + t^4.46/(g1^4*g2^4) + (2*g1^4*t^4.88)/g2^2 + 2*g1*g2*t^4.88 + (2*g2^4*t^4.88)/g1^2 + (g1^8*t^5.09)/g2 + 2*g1^5*g2^2*t^5.09 + 2*g1^2*g2^5*t^5.09 + (g2^8*t^5.09)/g1 + g1^12*t^5.31 + g1^9*g2^3*t^5.31 + 2*g1^6*g2^6*t^5.31 + g1^3*g2^9*t^5.31 + g2^12*t^5.31 - t^6. - (g1^3*t^6.)/g2^3 - (g2^3*t^6.)/g1^3 + 2*g1^4*g2*t^6.21 + 2*g1*g2^4*t^6.21 + 2*g1^8*g2^2*t^6.42 + 2*g1^5*g2^5*t^6.42 + 2*g1^2*g2^8*t^6.42 + 3*g1^3*t^7.33 + (2*g1^6*t^7.33)/g2^3 + 3*g2^3*t^7.33 + (2*g2^6*t^7.33)/g1^3 + (2*g1^10*t^7.54)/g2^2 + 4*g1^7*g2*t^7.54 + 8*g1^4*g2^4*t^7.54 + 4*g1*g2^7*t^7.54 + (2*g2^10*t^7.54)/g1^2 + (g1^14*t^7.75)/g2 + 2*g1^11*g2^2*t^7.75 + 3*g1^8*g2^5*t^7.75 + 3*g1^5*g2^8*t^7.75 + 2*g1^2*g2^11*t^7.75 + (g2^14*t^7.75)/g1 + g1^18*t^7.96 + g1^15*g2^3*t^7.96 + 2*g1^12*g2^6*t^7.96 + 2*g1^9*g2^9*t^7.96 + 2*g1^6*g2^12*t^7.96 + g1^3*g2^15*t^7.96 + g2^18*t^7.96 - (g1*t^8.23)/g2^5 + t^8.23/(g1^2*g2^2) - (g2*t^8.23)/g1^5 - (g1^5*t^8.44)/g2^4 - (3*g1^2*t^8.44)/g2 - (3*g2^2*t^8.44)/g1 - (g2^5*t^8.44)/g1^4 + g1^6*t^8.65 - (g1^9*t^8.65)/g2^3 + g2^6*t^8.65 - (g2^9*t^8.65)/g1^3 + 2*g1^10*g2*t^8.86 + 4*g1^7*g2^4*t^8.86 + 4*g1^4*g2^7*t^8.86 + 2*g1*g2^10*t^8.86 + t^8.93/(g1^8*g2^8) - t^4.12/(g1*g2*y) - (g1^2*t^5.44)/(g2*y) - (g2^2*t^5.44)/(g1*y) - t^6.35/(g1^3*g2^3*y) - (g1*t^6.56)/(g2^2*y) - (g2*t^6.56)/(g1^2*y) - (g1^5*t^6.77)/(g2*y) - (g1^2*g2^2*t^6.77)/y - (g2^5*t^6.77)/(g1*y) - (g1^4*t^7.88)/(g2^2*y) - (2*g1*g2*t^7.88)/y - (g2^4*t^7.88)/(g1^2*y) + (g1^9*g2^3*t^8.31)/y + (g1^6*g2^6*t^8.31)/y + (g1^3*g2^9*t^8.31)/y - t^8.58/(g1^5*g2^5*y) - (t^4.12*y)/(g1*g2) - (g1^2*t^5.44*y)/g2 - (g2^2*t^5.44*y)/g1 - (t^6.35*y)/(g1^3*g2^3) - (g1*t^6.56*y)/g2^2 - (g2*t^6.56*y)/g1^2 - (g1^5*t^6.77*y)/g2 - g1^2*g2^2*t^6.77*y - (g2^5*t^6.77*y)/g1 - (g1^4*t^7.88*y)/g2^2 - 2*g1*g2*t^7.88*y - (g2^4*t^7.88*y)/g1^2 + g1^9*g2^3*t^8.31*y + g1^6*g2^6*t^8.31*y + g1^3*g2^9*t^8.31*y - (t^8.58*y)/(g1^5*g2^5)


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
45129 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_3\phi_1^2$ + $ M_1q_2^2$ 1.7806 1.8903 0.9419 [X:[], M:[0.8963, 0.7592, 1.311], q:[0.4147, 0.5518], qb:[], phi:[0.3445]] t^2.28 + t^2.49 + t^2.69 + t^2.9 + t^3.31 + 2*t^3.93 + t^4.13 + 2*t^4.56 + t^4.77 + 2*t^4.97 + t^4.98 + 2*t^5.18 + 2*t^5.38 + t^5.39 + t^5.59 + 2*t^5.8 - t^4.03/y - t^5.28/y - t^5.69/y - t^4.03*y - t^5.28*y - t^5.69*y detail
45225 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_3\phi_1^2$ + $ M_4q_1q_2$ 1.8043 1.9178 0.9408 [X:[], M:[0.8184, 0.8184, 1.2736, 1.0896], q:[0.4552, 0.4552], qb:[], phi:[0.3632]] 2*t^2.46 + 2*t^2.73 + t^3.27 + 2*t^3.82 + t^4.36 + 6*t^4.91 + 4*t^5.19 + 3*t^5.46 + 2*t^5.72 - t^6. - t^4.09/y - (2*t^5.46)/y - t^4.09*y - 2*t^5.46*y detail
45154 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_3\phi_1^2$ + $ q_1q_2^3$ 1.7973 1.9065 0.9428 [X:[], M:[0.8582, 0.7985, 1.3134], q:[0.4552, 0.5149], qb:[], phi:[0.3433]] t^2.4 + t^2.57 + t^2.73 + t^2.91 + t^3.09 + 2*t^3.94 + t^4.12 + 2*t^4.79 + 2*t^4.97 + t^5.13 + 2*t^5.15 + 2*t^5.31 + t^5.46 + 2*t^5.49 + t^5.64 + t^5.66 + t^5.82 - t^4.03/y - t^5.4/y - t^5.57/y - t^4.03*y - t^5.4*y - t^5.57*y detail
45171 $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_3\phi_1^2$ + $ q_2^4$ 1.8043 1.9195 0.94 [X:[], M:[0.8554, 0.7892, 1.2892], q:[0.4338, 0.5], qb:[], phi:[0.3554]] t^2.37 + t^2.57 + t^2.6 + t^2.8 + t^3. + 2*t^3.87 + t^4.26 + 2*t^4.74 + 2*t^4.93 + t^4.97 + 2*t^5.13 + 2*t^5.17 + t^5.21 + 2*t^5.37 + t^5.4 + t^5.57 + 2*t^5.6 - t^4.07/y - t^5.37/y - t^5.57/y - t^4.07*y - t^5.37*y - t^5.57*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