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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
45088 SO5adj1nf2 $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ 1.8104 1.9354 0.9354 [X:[], M:[0.6961, 1.0441], q:[0.5, 0.4559], qb:[], phi:[0.348]] [X:[], M:[[-2], [-3]], q:[[0], [3]], qb:[], phi:[[-1]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ \phi_1^2$, $ q_2^2$, $ q_1^2$, $ M_2$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1q_2^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_1q_1^2$, $ \phi_1^2q_1^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ q_2^4$, $ M_1\phi_1^2q_2$, $ \phi_1^4q_2$, $ M_1\phi_1^2q_1$, $ \phi_1^4q_1$, $ q_1^2q_2^2$ $\phi_1^3q_1q_2$ 0 2*t^2.09 + t^2.74 + t^3. + t^3.13 + t^3.46 + t^3.59 + 4*t^4.18 + 3*t^4.82 + t^4.96 + 3*t^5.09 + 2*t^5.22 + t^5.47 + 2*t^5.54 + 2*t^5.68 + t^5.74 + t^6.19 + 7*t^6.26 + t^6.32 + t^6.46 + t^6.59 + 6*t^6.91 + 2*t^7.04 + 6*t^7.18 + 4*t^7.31 + 3*t^7.56 + 4*t^7.63 + t^7.69 + 4*t^7.76 + 3*t^7.82 + t^7.96 + t^8.09 + t^8.21 + 3*t^8.28 + 11*t^8.35 + 3*t^8.41 + t^8.47 + 3*t^8.54 + 3*t^8.68 - t^8.74 - 2*t^8.87 + t^8.93 - t^4.04/y - t^5.41/y - t^5.54/y - (3*t^6.13)/y - t^6.78/y - t^7.04/y - (3*t^7.5)/y - (3*t^7.63)/y + (2*t^7.82)/y + t^7.96/y + (2*t^8.09)/y - t^8.15/y - (4*t^8.22)/y - t^8.28/y - t^8.41/y + t^8.54/y + (2*t^8.68)/y + t^8.74/y - (3*t^8.87)/y - t^4.04*y - t^5.41*y - t^5.54*y - 3*t^6.13*y - t^6.78*y - t^7.04*y - 3*t^7.5*y - 3*t^7.63*y + 2*t^7.82*y + t^7.96*y + 2*t^8.09*y - t^8.15*y - 4*t^8.22*y - t^8.28*y - t^8.41*y + t^8.54*y + 2*t^8.68*y + t^8.74*y - 3*t^8.87*y (2*t^2.09)/g1^2 + g1^6*t^2.74 + t^3. + t^3.13/g1^3 + g1*t^3.46 + t^3.59/g1^2 + (4*t^4.18)/g1^4 + 3*g1^4*t^4.82 + g1*t^4.96 + (3*t^5.09)/g1^2 + (2*t^5.22)/g1^5 + g1^12*t^5.47 + (2*t^5.54)/g1 + (2*t^5.68)/g1^4 + g1^6*t^5.74 + g1^7*t^6.19 + (7*t^6.26)/g1^6 + g1^4*t^6.32 + g1*t^6.46 + t^6.59/g1^2 + 6*g1^2*t^6.91 + (2*t^7.04)/g1 + (6*t^7.18)/g1^4 + (4*t^7.31)/g1^7 + 3*g1^10*t^7.56 + (4*t^7.63)/g1^3 + g1^7*t^7.69 + (4*t^7.76)/g1^6 + 3*g1^4*t^7.82 + g1*t^7.96 + t^8.09/g1^2 + g1^18*t^8.21 + 3*g1^5*t^8.28 + (11*t^8.35)/g1^8 + 3*g1^2*t^8.41 + g1^12*t^8.47 + (3*t^8.54)/g1 + (3*t^8.68)/g1^4 - g1^6*t^8.74 - 2*g1^3*t^8.87 + g1^13*t^8.93 - t^4.04/(g1*y) - (g1^2*t^5.41)/y - t^5.54/(g1*y) - (3*t^6.13)/(g1^3*y) - (g1^5*t^6.78)/y - t^7.04/(g1*y) - (3*t^7.5)/y - (3*t^7.63)/(g1^3*y) + (2*g1^4*t^7.82)/y + (g1*t^7.96)/y + (2*t^8.09)/(g1^2*y) - (g1^8*t^8.15)/y - (4*t^8.22)/(g1^5*y) - (g1^5*t^8.28)/y - (g1^2*t^8.41)/y + t^8.54/(g1*y) + (2*t^8.68)/(g1^4*y) + (g1^6*t^8.74)/y - (3*g1^3*t^8.87)/y - (t^4.04*y)/g1 - g1^2*t^5.41*y - (t^5.54*y)/g1 - (3*t^6.13*y)/g1^3 - g1^5*t^6.78*y - (t^7.04*y)/g1 - 3*t^7.5*y - (3*t^7.63*y)/g1^3 + 2*g1^4*t^7.82*y + g1*t^7.96*y + (2*t^8.09*y)/g1^2 - g1^8*t^8.15*y - (4*t^8.22*y)/g1^5 - g1^5*t^8.28*y - g1^2*t^8.41*y + (t^8.54*y)/g1 + (2*t^8.68*y)/g1^4 + g1^6*t^8.74*y - 3*g1^3*t^8.87*y


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
45190 $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ + $ M_1M_2$ + $ q_2^2X_1$ 1.7149 1.8149 0.9449 [X:[1.4], M:[0.8, 1.2], q:[0.5, 0.3], qb:[], phi:[0.4]] 2*t^2.4 + t^3. + t^3.3 + t^3.6 + t^3.9 + 2*t^4.2 + 5*t^4.8 + 2*t^5.4 + 2*t^5.7 + 2*t^6. - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y detail {a: 13719/8000, c: 14519/8000, X1: 7/5, M1: 4/5, M2: 6/5, q1: 1/2, q2: 3/10, phi1: 2/5}
45218 $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ + $ M_3\phi_1^2q_2$ 1.8237 1.9583 0.9313 [X:[], M:[0.6933, 1.04, 0.8467], q:[0.5, 0.46], qb:[], phi:[0.3467]] 2*t^2.08 + t^2.54 + t^2.76 + t^3. + t^3.12 + t^3.58 + 4*t^4.16 + 2*t^4.62 + 3*t^4.84 + t^4.96 + 4*t^5.08 + 2*t^5.2 + t^5.3 + t^5.52 + t^5.54 + 3*t^5.66 + t^5.76 - t^4.04/y - t^5.42/y - t^5.54/y - t^4.04*y - t^5.42*y - t^5.54*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
44934 SO5adj1nf2 $q_1^4$ + $ M_1\phi_1q_1q_2$ 1.8152 1.9439 0.9338 [X:[], M:[0.7062], q:[0.5, 0.4408], qb:[], phi:[0.3531]] 2*t^2.12 + t^2.64 + t^2.82 + t^3. + t^3.44 + t^3.62 + 4*t^4.24 + 3*t^4.76 + 3*t^4.94 + 3*t^5.12 + t^5.29 + t^5.47 + 2*t^5.56 + 2*t^5.64 + 2*t^5.74 - t^4.06/y - t^5.38/y - t^5.56/y - t^4.06*y - t^5.38*y - t^5.56*y detail