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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
45102 SO5adj1nf2 $M_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1q_2$ + $ M_4\phi_1^2q_1$ 1.8269 1.965 0.9297 [X:[], M:[0.9917, 0.6983, 1.0475, 0.7975], q:[0.5041, 0.4483], qb:[], phi:[0.3492]] [X:[], M:[[-6, 0], [-2, -2], [-3, -3], [-1, 2]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ \phi_1^2$, $ M_4$, $ q_2^2$, $ M_1$, $ M_3$, $ \phi_1^2q_2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_2M_4$, $ M_4\phi_1^2$, $ M_4^2$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_1M_2$, $ M_1\phi_1^2$, $ M_4q_2^2$, $ \phi_1^2q_1^2$, $ M_2M_3$, $ M_3\phi_1^2$, $ M_1M_4$, $ q_2^4$, $ M_3M_4$, $ M_2\phi_1^2q_2$, $ \phi_1^4q_2$, $ M_1q_2^2$, $ M_4\phi_1^2q_2$, $ M_3q_2^2$, $ M_1^2$ $\phi_1^3q_1q_2$ -1 2*t^2.1 + t^2.39 + t^2.69 + t^2.98 + t^3.14 + t^3.44 + 4*t^4.19 + 2*t^4.49 + 4*t^4.79 + t^4.95 + 2*t^5.07 + t^5.08 + t^5.12 + 2*t^5.24 + t^5.37 + t^5.38 + 3*t^5.54 + t^5.67 + t^5.83 + t^5.95 - t^6. + t^6.12 + t^6.13 - t^6.17 + 7*t^6.29 + t^6.42 + 4*t^6.58 - t^6.75 + 8*t^6.88 + t^7.05 + 4*t^7.17 + 4*t^7.18 + t^7.21 + 4*t^7.33 + t^7.35 + 2*t^7.46 + 4*t^7.48 + t^7.51 + 6*t^7.63 + t^7.64 + 4*t^7.76 + t^7.77 + 4*t^7.93 + 2*t^8.05 + t^8.06 + t^8.07 - t^8.1 + 2*t^8.21 + 4*t^8.23 - 2*t^8.26 + t^8.34 + t^8.36 + 11*t^8.38 - t^8.39 + 3*t^8.51 + t^8.52 - t^8.56 + t^8.64 + 7*t^8.68 - 2*t^8.69 + t^8.81 + t^8.82 - 2*t^8.85 - 2*t^8.86 + t^8.93 + 12*t^8.98 - t^4.05/y - t^5.39/y - t^5.56/y - (3*t^6.14)/y - t^6.44/y - t^6.74/y - t^7.02/y - t^7.49/y - (2*t^7.65)/y + t^7.79/y + (2*t^8.07)/y - (4*t^8.24)/y - t^8.25/y - t^8.54/y + t^8.67/y - (3*t^8.83)/y - t^4.05*y - t^5.39*y - t^5.56*y - 3*t^6.14*y - t^6.44*y - t^6.74*y - t^7.02*y - t^7.49*y - 2*t^7.65*y + t^7.79*y + 2*t^8.07*y - 4*t^8.24*y - t^8.25*y - t^8.54*y + t^8.67*y - 3*t^8.83*y (2*t^2.1)/(g1^2*g2^2) + (g2^2*t^2.39)/g1 + g2^6*t^2.69 + t^2.98/g1^6 + t^3.14/(g1^3*g2^3) + (g2*t^3.44)/g1^2 + (4*t^4.19)/(g1^4*g2^4) + (2*t^4.49)/g1^3 + (4*g2^4*t^4.79)/g1^2 + g1*g2*t^4.95 + (2*t^5.07)/(g1^8*g2^2) + (g2^8*t^5.08)/g1 + (g1^4*t^5.12)/g2^2 + (2*t^5.24)/(g1^5*g2^5) + (g2^2*t^5.37)/g1^7 + g2^12*t^5.38 + (3*t^5.54)/(g1^4*g2) + (g2^6*t^5.67)/g1^6 + (g2^3*t^5.83)/g1^3 + t^5.95/g1^12 - t^6. + t^6.12/(g1^9*g2^3) + (g2^7*t^6.13)/g1^2 - (g1^3*t^6.17)/g2^3 + (7*t^6.29)/(g1^6*g2^6) + (g2*t^6.42)/g1^8 + (4*t^6.58)/(g1^5*g2^2) - t^6.75/(g1^2*g2^5) + (8*g2^2*t^6.88)/g1^4 + t^7.05/(g1*g2) + (4*t^7.17)/(g1^10*g2^4) + (4*g2^6*t^7.18)/g1^3 + (g1^2*t^7.21)/g2^4 + (4*t^7.33)/(g1^7*g2^7) + g2^3*t^7.35 + (2*t^7.46)/g1^9 + (4*g2^10*t^7.48)/g1^2 + g1^3*t^7.51 + (6*t^7.63)/(g1^6*g2^3) + g1*g2^7*t^7.64 + (4*g2^4*t^7.76)/g1^8 + (g2^14*t^7.77)/g1 + (4*g2*t^7.93)/g1^5 + (2*t^8.05)/(g1^14*g2^2) + (g2^8*t^8.06)/g1^7 + g2^18*t^8.07 - t^8.1/(g1^2*g2^2) + (2*t^8.21)/(g1^11*g2^5) + (4*g2^5*t^8.23)/g1^4 - (2*g1*t^8.26)/g2^5 + (g2^2*t^8.34)/g1^13 + (g2^12*t^8.36)/g1^6 + (11*t^8.38)/(g1^8*g2^8) - (g2^2*t^8.39)/g1 + (3*t^8.51)/(g1^10*g2) + (g2^9*t^8.52)/g1^3 - (g1^2*t^8.56)/g2 + (g2^6*t^8.64)/g1^12 + (7*t^8.68)/(g1^7*g2^4) - 2*g2^6*t^8.69 + (g2^3*t^8.81)/g1^9 + (g2^13*t^8.82)/g1^2 - (2*t^8.85)/(g1^4*g2^7) - 2*g1^3*g2^3*t^8.86 + t^8.93/g1^18 + (12*t^8.98)/g1^6 - t^4.05/(g1*g2*y) - (g2^2*t^5.39)/(g1*y) - (g1^2*t^5.56)/(g2*y) - (3*t^6.14)/(g1^3*g2^3*y) - (g2*t^6.44)/(g1^2*y) - (g2^5*t^6.74)/(g1*y) - t^7.02/(g1^7*g2*y) - t^7.49/(g1^3*y) - (2*t^7.65)/(g2^3*y) + (g2^4*t^7.79)/(g1^2*y) + (2*t^8.07)/(g1^8*g2^2*y) - (4*t^8.24)/(g1^5*g2^5*y) - (g1^2*g2^5*t^8.25)/y - t^8.54/(g1^4*g2*y) + (g2^6*t^8.67)/(g1^6*y) - (3*g2^3*t^8.83)/(g1^3*y) - (t^4.05*y)/(g1*g2) - (g2^2*t^5.39*y)/g1 - (g1^2*t^5.56*y)/g2 - (3*t^6.14*y)/(g1^3*g2^3) - (g2*t^6.44*y)/g1^2 - (g2^5*t^6.74*y)/g1 - (t^7.02*y)/(g1^7*g2) - (t^7.49*y)/g1^3 - (2*t^7.65*y)/g2^3 + (g2^4*t^7.79*y)/g1^2 + (2*t^8.07*y)/(g1^8*g2^2) - (4*t^8.24*y)/(g1^5*g2^5) - g1^2*g2^5*t^8.25*y - (t^8.54*y)/(g1^4*g2) + (g2^6*t^8.67*y)/g1^6 - (3*g2^3*t^8.83*y)/g1^3


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
45305 $M_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1q_2$ + $ M_4\phi_1^2q_1$ + $ M_5q_2^2$ 1.8202 1.9535 0.9318 [X:[], M:[1.0068, 0.6819, 1.0229, 0.8215, 1.039], q:[0.4966, 0.4805], qb:[], phi:[0.341]] 2*t^2.05 + t^2.46 + t^3.02 + t^3.07 + t^3.12 + t^3.49 + 4*t^4.09 + 2*t^4.51 + 2*t^4.93 + t^4.98 + t^5.03 + 2*t^5.07 + 2*t^5.11 + 2*t^5.16 + t^5.48 + 3*t^5.53 + t^5.58 - t^6. - t^4.02/y - t^5.46/y - t^5.51/y - t^4.02*y - t^5.46*y - t^5.51*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
45050 SO5adj1nf2 $M_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1q_2$ 1.8104 1.9353 0.9355 [X:[], M:[1.0026, 0.6968, 1.0451], q:[0.4987, 0.4562], qb:[], phi:[0.3484]] 2*t^2.09 + t^2.74 + t^3.01 + t^3.14 + t^3.46 + t^3.59 + 4*t^4.18 + 3*t^4.83 + t^4.95 + t^5.08 + 2*t^5.1 + 2*t^5.23 + t^5.47 + 2*t^5.55 + 2*t^5.68 + t^5.74 - t^6. - t^4.05/y - t^5.41/y - t^5.54/y - t^4.05*y - t^5.41*y - t^5.54*y detail