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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
45018 SO5adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ + $ M_3q_2^2$ 1.8036 1.9184 0.9401 [X:[], M:[1.0524, 0.8375, 1.0266], q:[0.4609, 0.4867], qb:[], phi:[0.3508]] [X:[], M:[[-3, -3], [-1, 2], [0, -6]], 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$, $ q_1^2$, $ M_3$, $ M_1$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_2\phi_1^2$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_2^2$, $ \phi_1^2q_2^2$, $ M_3\phi_1^2$, $ M_1\phi_1^2$, $ M_2q_1^2$, $ q_1^4$, $ M_2M_3$, $ M_1M_2$, $ \phi_1^4q_2$, $ M_3q_1^2$ $2\phi_1^3q_1q_2$ 0 t^2.1 + t^2.51 + t^2.77 + t^3.08 + t^3.16 + t^3.57 + t^3.9 + 2*t^4.21 + t^4.62 + 2*t^4.87 + t^4.95 + 2*t^5.03 + t^5.18 + t^5.26 + t^5.28 + t^5.53 + t^5.59 + 2*t^5.67 + t^5.84 + t^6.16 + t^6.24 + 3*t^6.31 + t^6.33 + t^6.41 + t^6.66 + 2*t^6.72 + 3*t^6.97 + t^7.05 + 2*t^7.13 + 2*t^7.29 + 2*t^7.37 + 2*t^7.38 + 2*t^7.46 + 2*t^7.54 + 2*t^7.64 + t^7.7 + t^7.71 + 3*t^7.77 + 2*t^7.79 + 2*t^7.95 + t^8.03 + t^8.04 + 3*t^8.1 + t^8.18 + t^8.26 + t^8.3 + t^8.34 + t^8.36 + 4*t^8.42 + t^8.43 + t^8.59 + t^8.61 + t^8.67 + t^8.75 + 3*t^8.83 + 2*t^8.92 - t^4.05/y - t^5.43/y - t^5.51/y - (2*t^6.16)/y - t^6.57/y - t^6.82/y - t^7.13/y - t^7.21/y - t^7.54/y - t^7.62/y + t^7.87/y - t^7.95/y - t^8.03/y + t^8.18/y - t^8.2/y - (2*t^8.26)/y - t^8.51/y + t^8.84/y - t^8.92/y - t^4.05*y - t^5.43*y - t^5.51*y - 2*t^6.16*y - t^6.57*y - t^6.82*y - t^7.13*y - t^7.21*y - t^7.54*y - t^7.62*y + t^7.87*y - t^7.95*y - t^8.03*y + t^8.18*y - t^8.2*y - 2*t^8.26*y - t^8.51*y + t^8.84*y - t^8.92*y t^2.1/(g1^2*g2^2) + (g2^2*t^2.51)/g1 + g1^6*t^2.77 + t^3.08/g2^6 + t^3.16/(g1^3*g2^3) + (g2*t^3.57)/g1^2 + g1^2*g2^2*t^3.9 + (2*t^4.21)/(g1^4*g2^4) + t^4.62/g1^3 + (2*g1^4*t^4.87)/g2^2 + g1*g2*t^4.95 + (2*g2^4*t^5.03)/g1^2 + t^5.18/(g1^2*g2^8) + t^5.26/(g1^5*g2^5) + g1^5*g2^2*t^5.28 + g1^12*t^5.53 + t^5.59/(g1*g2^4) + (2*t^5.67)/(g1^4*g2) + (g1^6*t^5.84)/g2^6 + t^6.16/g2^12 + t^6.24/(g1^3*g2^9) + (3*t^6.31)/(g1^6*g2^6) + g1^4*g2*t^6.33 + g1*g2^4*t^6.41 + g1^8*g2^2*t^6.66 + (2*t^6.72)/(g1^5*g2^2) + (3*g1^2*t^6.97)/g2^4 + t^7.05/(g1*g2) + (2*g2^2*t^7.13)/g1^4 + (2*t^7.29)/(g1^4*g2^10) + (2*t^7.37)/(g1^7*g2^7) + 2*g1^3*t^7.38 + 2*g2^3*t^7.46 + (2*g2^6*t^7.54)/g1^3 + (2*g1^10*t^7.64)/g2^2 + t^7.7/(g1^3*g2^6) + g1^7*g2*t^7.71 + (3*t^7.77)/(g1^6*g2^3) + 2*g1^4*g2^4*t^7.79 + (2*g1^4*t^7.95)/g2^8 + (g1*t^8.03)/g2^5 + g1^11*g2^2*t^8.04 + (3*t^8.1)/(g1^2*g2^2) + (g2*t^8.18)/g1^5 + t^8.26/(g1^2*g2^14) + g1^18*t^8.3 + t^8.34/(g1^5*g2^11) + (g1^5*t^8.36)/g2^4 + (4*t^8.42)/(g1^8*g2^8) + (g1^2*t^8.43)/g2 + (g2^5*t^8.59)/g1^4 + (g1^12*t^8.61)/g2^6 + t^8.67/(g1*g2^10) + t^8.75/(g1^4*g2^7) + (3*t^8.83)/(g1^7*g2^4) + (g1^6*t^8.92)/g2^12 + g2^6*t^8.92 - t^4.05/(g1*g2*y) - (g1^2*t^5.43)/(g2*y) - (g2^2*t^5.51)/(g1*y) - (2*t^6.16)/(g1^3*g2^3*y) - (g2*t^6.57)/(g1^2*y) - (g1^5*t^6.82)/(g2*y) - t^7.13/(g1*g2^7*y) - t^7.21/(g1^4*g2^4*y) - t^7.54/(g2^3*y) - t^7.62/(g1^3*y) + (g1^4*t^7.87)/(g2^2*y) - (g1*g2*t^7.95)/y - (g2^4*t^8.03)/(g1^2*y) + t^8.18/(g1^2*g2^8*y) - (g1^8*t^8.2)/(g2*y) - (2*t^8.26)/(g1^5*g2^5*y) - (g1^2*t^8.51)/(g2^7*y) + (g1^6*t^8.84)/(g2^6*y) - (g1^3*t^8.92)/(g2^3*y) - (t^4.05*y)/(g1*g2) - (g1^2*t^5.43*y)/g2 - (g2^2*t^5.51*y)/g1 - (2*t^6.16*y)/(g1^3*g2^3) - (g2*t^6.57*y)/g1^2 - (g1^5*t^6.82*y)/g2 - (t^7.13*y)/(g1*g2^7) - (t^7.21*y)/(g1^4*g2^4) - (t^7.54*y)/g2^3 - (t^7.62*y)/g1^3 + (g1^4*t^7.87*y)/g2^2 - g1*g2*t^7.95*y - (g2^4*t^8.03*y)/g1^2 + (t^8.18*y)/(g1^2*g2^8) - (g1^8*t^8.2*y)/g2 - (2*t^8.26*y)/(g1^5*g2^5) - (g1^2*t^8.51*y)/g2^7 + (g1^6*t^8.84*y)/g2^6 - (g1^3*t^8.92*y)/g2^3


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
45217 $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ + $ M_3q_2^2$ + $ M_1\phi_1^2$ 1.7687 1.8816 0.94 [X:[], M:[1.2, 0.8066, 1.1869], q:[0.3934, 0.4066], qb:[], phi:[0.4]] t^2.36 + t^2.4 + t^2.42 + t^3.56 + 2*t^3.6 + t^3.62 + t^4.72 + 2*t^4.76 + t^4.78 + 3*t^4.8 + t^4.82 + 2*t^4.84 + t^5.92 + 2*t^5.96 + 2*t^5.98 + t^6. - t^4.2/y - t^5.38/y - t^5.42/y - t^4.2*y - t^5.38*y - t^5.42*y detail
45128 $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ + $ M_3q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ 1.7292 1.817 0.9517 [X:[1.4052], M:[0.8921, 0.8105, 0.9738], q:[0.5948, 0.5131], qb:[], phi:[0.2974]] t^2.43 + t^2.68 + t^2.92 + t^3.32 + 2*t^3.57 + 2*t^4.22 + 2*t^4.86 + 2*t^5.11 + 3*t^5.35 + t^5.6 + t^5.84 + t^6. - t^3.89/y - t^5.43/y - (2*t^5.68)/y - t^3.89*y - t^5.43*y - 2*t^5.68*y detail
45205 $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ + $ M_3q_2^2$ + $ M_4\phi_1q_1q_2$ 1.8241 1.9578 0.9317 [X:[], M:[1.0489, 0.8382, 1.0229, 0.6993], q:[0.4625, 0.4885], qb:[], phi:[0.3496]] 2*t^2.1 + t^2.51 + t^2.78 + t^3.07 + t^3.15 + t^3.56 + 4*t^4.2 + 2*t^4.61 + 3*t^4.87 + t^4.95 + 2*t^5.03 + 2*t^5.17 + 2*t^5.24 + t^5.29 + t^5.55 + t^5.58 + 3*t^5.66 + t^5.84 - t^6. - t^4.05/y - t^5.44/y - t^5.51/y - t^4.05*y - t^5.44*y - t^5.51*y detail
45149 $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ + $ M_3q_2^2$ + $ M_4q_1^2$ 1.7995 1.9128 0.9408 [X:[], M:[1.0246, 0.8212, 1.0407, 1.0085], q:[0.4957, 0.4797], qb:[], phi:[0.3415]] t^2.05 + t^2.46 + t^3.03 + t^3.07 + t^3.12 + t^3.49 + t^3.95 + 2*t^4.1 + t^4.51 + 2*t^4.93 + t^4.98 + t^5.02 + t^5.07 + t^5.12 + t^5.17 + t^5.49 + 2*t^5.54 + t^5.59 - 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
44966 SO5adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ 1.8092 1.9284 0.9382 [X:[], M:[1.0801, 0.8129], q:[0.467, 0.4529], qb:[], phi:[0.36]] t^2.16 + t^2.44 + t^2.72 + t^2.8 + t^3.24 + t^3.52 + t^3.84 + 2*t^4.32 + t^4.6 + 3*t^4.88 + t^4.92 + 2*t^4.96 + t^5.16 + t^5.24 + t^5.4 + t^5.44 + t^5.52 + t^5.6 + 2*t^5.68 + t^5.96 - t^4.08/y - t^5.44/y - t^5.48/y - t^4.08*y - t^5.44*y - t^5.48*y detail