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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
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]] [X:[], M:[[-6, 0], [-2, -2], [-3, -3]], 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$, $ q_2^2$, $ M_1$, $ M_3$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ M_1M_2$, $ M_1\phi_1^2$, $ M_2M_3$, $ M_3\phi_1^2$, $ q_2^4$, $ M_2\phi_1^2q_2$, $ \phi_1^4q_2$, $ M_2\phi_1^2q_1$, $ \phi_1^4q_1$, $ M_1q_2^2$ $\phi_1^3q_1q_2$ -1 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^6.02 - t^6.13 + t^6.14 + t^6.2 + 7*t^6.27 + t^6.32 + t^6.47 + t^6.59 + 6*t^6.92 + 2*t^7.05 + 2*t^7.17 + 4*t^7.19 + 4*t^7.32 + 3*t^7.56 + 4*t^7.64 + t^7.69 + 4*t^7.77 + 3*t^7.84 + t^7.96 - t^8.09 + 2*t^8.11 + t^8.21 - 2*t^8.22 + 2*t^8.23 + 3*t^8.29 + 11*t^8.36 + 3*t^8.41 + t^8.48 + t^8.54 + 2*t^8.56 + t^8.67 + 2*t^8.68 - 2*t^8.74 + t^8.75 - 2*t^8.86 + t^8.93 - t^8.99 - t^4.05/y - t^5.41/y - t^5.54/y - (3*t^6.14)/y - t^6.78/y - t^7.05/y - (3*t^7.5)/y - (3*t^7.63)/y + (2*t^7.83)/y + t^7.95/y + (2*t^8.1)/y - t^8.15/y - (4*t^8.23)/y - t^8.28/y - t^8.42/y + t^8.55/y + (2*t^8.68)/y + t^8.74/y - (3*t^8.87)/y - t^4.05*y - t^5.41*y - t^5.54*y - 3*t^6.14*y - t^6.78*y - t^7.05*y - 3*t^7.5*y - 3*t^7.63*y + 2*t^7.83*y + t^7.95*y + 2*t^8.1*y - t^8.15*y - 4*t^8.23*y - t^8.28*y - t^8.42*y + t^8.55*y + 2*t^8.68*y + t^8.74*y - 3*t^8.87*y (2*t^2.09)/(g1^2*g2^2) + g2^6*t^2.74 + t^3.01/g1^6 + t^3.14/(g1^3*g2^3) + (g2*t^3.46)/g1^2 + (g1*t^3.59)/g2^2 + (4*t^4.18)/(g1^4*g2^4) + (3*g2^4*t^4.83)/g1^2 + g1*g2*t^4.95 + (g1^4*t^5.08)/g2^2 + (2*t^5.1)/(g1^8*g2^2) + (2*t^5.23)/(g1^5*g2^5) + g2^12*t^5.47 + (2*t^5.55)/(g1^4*g2) + (2*t^5.68)/(g1*g2^4) + (g2^6*t^5.74)/g1^6 - t^6. + t^6.02/g1^12 - (g1^3*t^6.13)/g2^3 + t^6.14/(g1^9*g2^3) + (g2^7*t^6.2)/g1^2 + (7*t^6.27)/(g1^6*g2^6) + g1*g2^4*t^6.32 + (g2*t^6.47)/g1^8 + t^6.59/(g1^5*g2^2) + (6*g2^2*t^6.92)/g1^4 + (2*t^7.05)/(g1*g2) + (2*g1^2*t^7.17)/g2^4 + (4*t^7.19)/(g1^10*g2^4) + (4*t^7.32)/(g1^7*g2^7) + (3*g2^10*t^7.56)/g1^2 + (4*t^7.64)/(g1^6*g2^3) + g1*g2^7*t^7.69 + (4*t^7.77)/(g1^3*g2^6) + (3*g2^4*t^7.84)/g1^8 + (g2*t^7.96)/g1^5 - t^8.09/(g1^2*g2^2) + (2*t^8.11)/(g1^14*g2^2) + g2^18*t^8.21 - (2*g1*t^8.22)/g2^5 + (2*t^8.23)/(g1^11*g2^5) + (3*g2^5*t^8.29)/g1^4 + (11*t^8.36)/(g1^8*g2^8) + (3*g2^2*t^8.41)/g1 + (g2^12*t^8.48)/g1^6 + (g1^2*t^8.54)/g2 + (2*t^8.56)/(g1^10*g2) + (g1^5*t^8.67)/g2^4 + (2*t^8.68)/(g1^7*g2^4) - 2*g2^6*t^8.74 + (g2^6*t^8.75)/g1^12 - 2*g1^3*g2^3*t^8.86 + (g2^13*t^8.93)/g1^2 - g1^6*t^8.99 - t^4.05/(g1*g2*y) - (g2^2*t^5.41)/(g1*y) - (g1^2*t^5.54)/(g2*y) - (3*t^6.14)/(g1^3*g2^3*y) - (g2^5*t^6.78)/(g1*y) - t^7.05/(g1^7*g2*y) - (3*t^7.5)/(g1^3*y) - (3*t^7.63)/(g2^3*y) + (2*g2^4*t^7.83)/(g1^2*y) + (g1*g2*t^7.95)/y + (2*t^8.1)/(g1^8*g2^2*y) - (g2^8*t^8.15)/(g1*y) - (4*t^8.23)/(g1^5*g2^5*y) - (g1^2*g2^5*t^8.28)/y - (g2^2*t^8.42)/(g1^7*y) + t^8.55/(g1^4*g2*y) + (2*t^8.68)/(g1*g2^4*y) + (g2^6*t^8.74)/(g1^6*y) - (3*g2^3*t^8.87)/(g1^3*y) - (t^4.05*y)/(g1*g2) - (g2^2*t^5.41*y)/g1 - (g1^2*t^5.54*y)/g2 - (3*t^6.14*y)/(g1^3*g2^3) - (g2^5*t^6.78*y)/g1 - (t^7.05*y)/(g1^7*g2) - (3*t^7.5*y)/g1^3 - (3*t^7.63*y)/g2^3 + (2*g2^4*t^7.83*y)/g1^2 + g1*g2*t^7.95*y + (2*t^8.1*y)/(g1^8*g2^2) - (g2^8*t^8.15*y)/g1 - (4*t^8.23*y)/(g1^5*g2^5) - g1^2*g2^5*t^8.28*y - (g2^2*t^8.42*y)/g1^7 + (t^8.55*y)/(g1^4*g2) + (2*t^8.68*y)/(g1*g2^4) + (g2^6*t^8.74*y)/g1^6 - (3*g2^3*t^8.87*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
45102 $M_1q_1^2$ + $ 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]] 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^4.05/y - t^5.39/y - t^5.56/y - t^4.05*y - t^5.39*y - t^5.56*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
44938 SO5adj1nf2 $M_1q_1^2$ + $ M_2\phi_1q_1q_2$ 1.8158 1.9434 0.9344 [X:[], M:[1.0293, 0.7136], q:[0.4854, 0.4442], qb:[], phi:[0.3568]] 2*t^2.14 + t^2.67 + t^2.79 + t^3.09 + t^3.47 + t^3.6 + 4*t^4.28 + 3*t^4.81 + 3*t^4.93 + t^5.05 + 2*t^5.23 + t^5.33 + t^5.45 + t^5.58 + 2*t^5.61 + 2*t^5.74 + t^5.75 - t^6. - t^4.07/y - t^5.4/y - t^5.53/y - t^4.07*y - t^5.4*y - t^5.53*y detail