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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
45262 SO5adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ + $ M_5q_2^2$ 1.8401 1.9862 0.9264 [X:[], M:[1.0515, 0.701, 0.8445, 0.805, 1.0119], q:[0.4545, 0.494], qb:[], phi:[0.3505]] [X:[], M:[[-3, -3], [-2, -2], [-1, 2], [2, -1], [0, -6]], 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$, $ M_3$, $ q_1^2$, $ M_5$, $ M_1$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_2M_4$, $ M_4\phi_1^2$, $ M_2M_3$, $ M_3\phi_1^2$, $ M_4^2$, $ M_2q_1^2$, $ \phi_1^2q_1^2$, $ M_3M_4$, $ \phi_1^2q_1q_2$, $ M_3^2$, $ \phi_1^2q_2^2$, $ M_2M_5$, $ M_5\phi_1^2$, $ M_4q_1^2$, $ M_1M_2$, $ M_1\phi_1^2$, $ M_3q_1^2$, $ q_1^4$, $ M_4M_5$, $ M_1M_4$, $ M_3M_5$, $ M_1M_3$, $ M_5q_1^2$ $\phi_1^3q_1q_2$ -1 2*t^2.1 + t^2.41 + t^2.53 + t^2.73 + t^3.04 + t^3.15 + 4*t^4.21 + 2*t^4.52 + 2*t^4.64 + 4*t^4.83 + 2*t^4.95 + 2*t^5.07 + 3*t^5.14 + 3*t^5.26 + 2*t^5.45 + 2*t^5.57 + t^5.69 + t^5.76 - t^6. + t^6.07 - t^6.12 + t^6.19 + 7*t^6.31 + 3*t^6.62 + 3*t^6.74 + 7*t^6.93 + 3*t^7.05 + 3*t^7.17 + 8*t^7.24 + 9*t^7.36 + 3*t^7.48 + 2*t^7.55 + 4*t^7.56 + 2*t^7.6 + 4*t^7.67 + 2*t^7.68 + 3*t^7.79 + 5*t^7.87 + 3*t^7.98 + t^7.99 + t^8.1 + 2*t^8.17 + 2*t^8.18 - t^8.22 + 2*t^8.29 + t^8.3 + 9*t^8.41 + 2*t^8.49 - 3*t^8.53 + 2*t^8.61 - t^8.65 + 6*t^8.72 - 2*t^8.73 + t^8.8 + 5*t^8.84 - 2*t^8.85 - t^8.96 - t^4.05/y - t^5.41/y - t^5.53/y - (3*t^6.15)/y - t^6.47/y - t^6.59/y - t^6.78/y - t^7.09/y + t^7.83/y - t^8.07/y + (2*t^8.14)/y - (4*t^8.26)/y - (2*t^8.57)/y - (2*t^8.69)/y + t^8.76/y - (3*t^8.88)/y - t^4.05*y - t^5.41*y - t^5.53*y - 3*t^6.15*y - t^6.47*y - t^6.59*y - t^6.78*y - t^7.09*y + t^7.83*y - t^8.07*y + 2*t^8.14*y - 4*t^8.26*y - 2*t^8.57*y - 2*t^8.69*y + t^8.76*y - 3*t^8.88*y (2*t^2.1)/(g1^2*g2^2) + (g1^2*t^2.41)/g2 + (g2^2*t^2.53)/g1 + g1^6*t^2.73 + t^3.04/g2^6 + t^3.15/(g1^3*g2^3) + (4*t^4.21)/(g1^4*g2^4) + (2*t^4.52)/g2^3 + (2*t^4.64)/g1^3 + (4*g1^4*t^4.83)/g2^2 + 2*g1*g2*t^4.95 + (2*g2^4*t^5.07)/g1^2 + (2*t^5.14)/(g1^2*g2^8) + (g1^8*t^5.14)/g2 + (2*t^5.26)/(g1^5*g2^5) + g1^5*g2^2*t^5.26 + g1^12*t^5.45 + (g1^2*t^5.45)/g2^7 + (2*t^5.57)/(g1*g2^4) + t^5.69/(g1^4*g2) + (g1^6*t^5.76)/g2^6 - t^6. + t^6.07/g2^12 - (g2^3*t^6.12)/g1^3 + t^6.19/(g1^3*g2^9) + (7*t^6.31)/(g1^6*g2^6) + (3*t^6.62)/(g1^2*g2^5) + (3*t^6.74)/(g1^5*g2^2) + (7*g1^2*t^6.93)/g2^4 + (3*t^7.05)/(g1*g2) + (3*g2^2*t^7.17)/g1^4 + (4*t^7.24)/(g1^4*g2^10) + (4*g1^6*t^7.24)/g2^3 + 5*g1^3*t^7.36 + (4*t^7.36)/(g1^7*g2^7) + 3*g2^3*t^7.48 + (2*t^7.55)/g2^9 + (4*g1^10*t^7.56)/g2^2 + (2*g2^6*t^7.6)/g1^3 + (4*t^7.67)/(g1^3*g2^6) + 2*g1^7*g2*t^7.68 + (2*t^7.79)/(g1^6*g2^3) + g1^4*g2^4*t^7.79 + (4*g1^4*t^7.87)/g2^8 + (g1^14*t^7.87)/g2 + (3*g1*t^7.98)/g2^5 + g1^11*g2^2*t^7.99 + t^8.1/(g1^2*g2^2) + (2*t^8.17)/(g1^2*g2^14) + g1^18*t^8.18 + (g1^8*t^8.18)/g2^7 - (g2*t^8.22)/g1^5 + (2*t^8.29)/(g1^5*g2^11) + (g1^5*t^8.3)/g2^4 + (11*t^8.41)/(g1^8*g2^8) - (2*g1^2*t^8.41)/g2 + (g1^2*t^8.49)/g2^13 + (g1^12*t^8.49)/g2^6 - (3*g2^2*t^8.53)/g1 + (2*t^8.61)/(g1*g2^10) - (g2^5*t^8.65)/g1^4 + (6*t^8.72)/(g1^4*g2^7) - 2*g1^6*t^8.73 + (g1^6*t^8.8)/g2^12 + (5*t^8.84)/(g1^7*g2^4) - 2*g1^3*g2^3*t^8.85 - g2^6*t^8.96 - t^4.05/(g1*g2*y) - (g1^2*t^5.41)/(g2*y) - (g2^2*t^5.53)/(g1*y) - (3*t^6.15)/(g1^3*g2^3*y) - (g1*t^6.47)/(g2^2*y) - (g2*t^6.59)/(g1^2*y) - (g1^5*t^6.78)/(g2*y) - t^7.09/(g1*g2^7*y) + (g1^4*t^7.83)/(g2^2*y) - (g2^4*t^8.07)/(g1^2*y) + (2*t^8.14)/(g1^2*g2^8*y) - (4*t^8.26)/(g1^5*g2^5*y) - (2*t^8.57)/(g1*g2^4*y) - (2*t^8.69)/(g1^4*g2*y) + (g1^6*t^8.76)/(g2^6*y) - (3*g1^3*t^8.88)/(g2^3*y) - (t^4.05*y)/(g1*g2) - (g1^2*t^5.41*y)/g2 - (g2^2*t^5.53*y)/g1 - (3*t^6.15*y)/(g1^3*g2^3) - (g1*t^6.47*y)/g2^2 - (g2*t^6.59*y)/g1^2 - (g1^5*t^6.78*y)/g2 - (t^7.09*y)/(g1*g2^7) + (g1^4*t^7.83*y)/g2^2 - (g2^4*t^8.07*y)/g1^2 + (2*t^8.14*y)/(g1^2*g2^8) - (4*t^8.26*y)/(g1^5*g2^5) - (2*t^8.57*y)/(g1*g2^4) - (2*t^8.69*y)/(g1^4*g2) + (g1^6*t^8.76*y)/g2^6 - (3*g1^3*t^8.88*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
45432 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ + $ M_5q_2^2$ + $ M_1M_2$ 1.8023 1.9413 0.9284 [X:[], M:[1.2, 0.8, 0.8126, 0.7874, 1.1748], q:[0.3874, 0.4126], qb:[], phi:[0.4]] t^2.32 + t^2.36 + 2*t^2.4 + t^2.44 + t^3.52 + t^3.6 + t^4.65 + t^4.69 + 4*t^4.72 + 3*t^4.76 + 6*t^4.8 + 2*t^4.84 + 2*t^4.88 + t^5.85 + t^5.89 + 2*t^5.92 + 2*t^5.96 + t^6. - t^4.2/y - t^5.36/y - t^5.44/y - t^4.2*y - t^5.36*y - t^5.44*y detail
45467 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ + $ M_5q_2^2$ + $ M_6q_1^2$ 1.8346 1.9777 0.9276 [X:[], M:[1.0262, 0.6842, 0.829, 0.829, 1.0262, 1.0262], q:[0.4869, 0.4869], qb:[], phi:[0.3421]] 2*t^2.05 + 2*t^2.49 + 3*t^3.08 + 4*t^4.1 + 4*t^4.54 + 6*t^4.97 + 6*t^5.13 + 6*t^5.57 - 3*t^6. - t^4.03/y - (2*t^5.49)/y - t^4.03*y - 2*t^5.49*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
45237 SO5adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_4\phi_1^2q_2$ 1.8443 1.9918 0.926 [X:[], M:[1.0782, 0.7188, 0.8203, 0.8203], q:[0.4609, 0.4609], qb:[], phi:[0.3594]] 2*t^2.16 + 2*t^2.46 + 2*t^2.77 + t^3.23 + 4*t^4.31 + 4*t^4.62 + 10*t^4.92 + 4*t^5.23 + 2*t^5.39 + 3*t^5.53 + 2*t^5.7 - t^6. - t^4.08/y - (2*t^5.46)/y - t^4.08*y - 2*t^5.46*y detail