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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
44970 SO5adj1nf2 $M_1q_1q_2$ + $ q_1^4$ 1.7898 1.8959 0.944 [X:[], M:[1.046], q:[0.5, 0.454], qb:[], phi:[0.3487]] [X:[], M:[[-3]], q:[[0], [3]], qb:[], phi:[[-1]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ q_2^2$, $ q_1^2$, $ M_1$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ M_1\phi_1^2$, $ q_2^4$, $ \phi_1^4q_2$, $ \phi_1^4q_1$, $ q_1^2q_2^2$ $2\phi_1^3q_1q_2$ 1 t^2.09 + t^2.72 + t^3. + t^3.14 + t^3.45 + t^3.59 + t^3.91 + 2*t^4.18 + 2*t^4.82 + t^4.95 + 2*t^5.09 + t^5.23 + t^5.45 + t^5.55 + t^5.68 + t^5.72 + t^6. + t^6.18 + 3*t^6.28 + t^6.32 + t^6.45 + t^6.59 + t^6.63 + 4*t^6.91 + 2*t^7.05 + 3*t^7.18 + 2*t^7.32 + t^7.36 + t^7.5 + 2*t^7.54 + 2*t^7.64 + t^7.68 + 2*t^7.78 + 3*t^7.82 + t^7.95 + 3*t^8.09 + t^8.17 + 2*t^8.27 + 4*t^8.37 + 2*t^8.41 + t^8.45 + 2*t^8.55 + 2*t^8.68 + t^8.72 - t^8.86 + t^8.9 - t^4.05/y - t^5.41/y - t^5.55/y - (2*t^6.14)/y - t^6.77/y - t^7.05/y - t^7.18/y - (2*t^7.5)/y - (2*t^7.64)/y + t^7.82/y + t^8.09/y - t^8.13/y - (2*t^8.23)/y - t^8.27/y - t^8.41/y + t^8.68/y + t^8.72/y - (2*t^8.86)/y - t^4.05*y - t^5.41*y - t^5.55*y - 2*t^6.14*y - t^6.77*y - t^7.05*y - t^7.18*y - 2*t^7.5*y - 2*t^7.64*y + t^7.82*y + t^8.09*y - t^8.13*y - 2*t^8.23*y - t^8.27*y - t^8.41*y + t^8.68*y + t^8.72*y - 2*t^8.86*y t^2.09/g1^2 + g1^6*t^2.72 + t^3. + t^3.14/g1^3 + g1*t^3.45 + t^3.59/g1^2 + g1^2*t^3.91 + (2*t^4.18)/g1^4 + 2*g1^4*t^4.82 + g1*t^4.95 + (2*t^5.09)/g1^2 + t^5.23/g1^5 + g1^12*t^5.45 + t^5.55/g1 + t^5.68/g1^4 + g1^6*t^5.72 + t^6. + g1^7*t^6.18 + (3*t^6.28)/g1^6 + g1^4*t^6.32 + g1*t^6.45 + t^6.59/g1^2 + g1^8*t^6.63 + 4*g1^2*t^6.91 + (2*t^7.05)/g1 + (3*t^7.18)/g1^4 + (2*t^7.32)/g1^7 + g1^3*t^7.36 + t^7.5 + 2*g1^10*t^7.54 + (2*t^7.64)/g1^3 + g1^7*t^7.68 + (2*t^7.78)/g1^6 + 3*g1^4*t^7.82 + g1*t^7.95 + (3*t^8.09)/g1^2 + g1^18*t^8.17 + 2*g1^5*t^8.27 + (4*t^8.37)/g1^8 + 2*g1^2*t^8.41 + g1^12*t^8.45 + (2*t^8.55)/g1 + (2*t^8.68)/g1^4 + g1^6*t^8.72 - g1^3*t^8.86 + g1^13*t^8.9 - t^4.05/(g1*y) - (g1^2*t^5.41)/y - t^5.55/(g1*y) - (2*t^6.14)/(g1^3*y) - (g1^5*t^6.77)/y - t^7.05/(g1*y) - t^7.18/(g1^4*y) - (2*t^7.5)/y - (2*t^7.64)/(g1^3*y) + (g1^4*t^7.82)/y + t^8.09/(g1^2*y) - (g1^8*t^8.13)/y - (2*t^8.23)/(g1^5*y) - (g1^5*t^8.27)/y - (g1^2*t^8.41)/y + t^8.68/(g1^4*y) + (g1^6*t^8.72)/y - (2*g1^3*t^8.86)/y - (t^4.05*y)/g1 - g1^2*t^5.41*y - (t^5.55*y)/g1 - (2*t^6.14*y)/g1^3 - g1^5*t^6.77*y - (t^7.05*y)/g1 - (t^7.18*y)/g1^4 - 2*t^7.5*y - (2*t^7.64*y)/g1^3 + g1^4*t^7.82*y + (t^8.09*y)/g1^2 - g1^8*t^8.13*y - (2*t^8.23*y)/g1^5 - g1^5*t^8.27*y - g1^2*t^8.41*y + (t^8.68*y)/g1^4 + g1^6*t^8.72*y - 2*g1^3*t^8.86*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
44989 $M_1q_1q_2$ + $ q_1^4$ + $ M_1\phi_1^2$ + $ q_2^2X_1$ 1.6984 1.7859 0.951 [X:[1.4], M:[1.2], q:[0.5, 0.3], qb:[], phi:[0.4]] t^2.4 + t^3. + t^3.3 + 2*t^3.6 + t^3.9 + 2*t^4.2 + 3*t^4.8 + t^5.4 + 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: 13587/8000, c: 14287/8000, X1: 7/5, M1: 6/5, q1: 1/2, q2: 3/10, phi1: 2/5}
45047 $M_1q_1q_2$ + $ q_1^4$ + $ M_2\phi_1^2q_2$ 1.8031 1.9185 0.9398 [X:[], M:[1.0417, 0.8472], q:[0.5, 0.4583], qb:[], phi:[0.3472]] t^2.08 + t^2.54 + t^2.75 + t^3. + t^3.12 + t^3.58 + t^3.92 + 2*t^4.17 + t^4.62 + 2*t^4.83 + t^4.96 + 3*t^5.08 + t^5.21 + t^5.29 + t^5.5 + t^5.54 + 2*t^5.67 + t^5.75 + t^6. - 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
45096 $M_1q_1q_2$ + $ q_1^4$ + $ M_2\phi_1^2$ 1.7693 1.8566 0.953 [X:[], M:[1.0479, 1.3014], q:[0.5, 0.4521], qb:[], phi:[0.3493]] t^2.71 + t^3. + t^3.14 + t^3.45 + t^3.6 + 2*t^3.9 + t^4.19 + t^4.81 + t^4.95 + t^5.1 + t^5.42 + t^5.71 - t^4.05/y - t^5.4/y - t^5.55/y - t^4.05*y - t^5.4*y - t^5.55*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
44923 SO5adj1nf2 $M_1q_1q_2$ 1.7938 1.9011 0.9435 [X:[], M:[1.0769], q:[0.4615, 0.4615], qb:[], phi:[0.359]] t^2.15 + 2*t^2.77 + t^3.23 + 2*t^3.54 + t^3.85 + 2*t^4.31 + 5*t^4.92 + t^5.38 + 3*t^5.54 + 2*t^5.69 - t^4.08/y - (2*t^5.46)/y - t^4.08*y - 2*t^5.46*y detail {a: 14551/8112, c: 7711/4056, M1: 14/13, q1: 6/13, q2: 6/13, phi1: 14/39}