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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
8600 Sp2adj1nf1 $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1q_2^2$ 1.1931 1.3382 0.8916 [X:[1.6606], M:[1.0182, 0.8485, 0.6788, 0.8485], q:[0.4909, 0.4909], qb:[], phi:[0.1697]] [X:[[0, 2]], M:[[0, -6], [2, -11], [0, -4], [-2, 1]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_3$, $ \phi_1^4$, $ M_2$, $ M_4$, $ M_1$, $ \phi_1q_1q_2$, $ M_3^2$, $ M_3\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ M_2M_3$, $ M_2\phi_1^4$, $ M_3M_4$, $ M_4\phi_1^4$, $ X_1$, $ M_2^2$, $ M_1M_3$, $ M_2M_4$, $ M_1\phi_1^4$, $ M_4^2$, $ M_3\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ M_1M_2$, $ M_1M_4$ $M_2\phi_1q_1q_2$, $ M_4\phi_1q_1q_2$ -2 2*t^2.04 + 2*t^2.55 + t^3.05 + t^3.45 + 3*t^4.07 + 3*t^4.47 + 4*t^4.58 + t^4.98 + 5*t^5.09 + 2*t^5.49 + 2*t^5.6 - 2*t^6. + 5*t^6.11 + 4*t^6.51 + 6*t^6.62 + t^6.91 + 5*t^7.02 + 9*t^7.13 + 5*t^7.53 + 8*t^7.64 + 2*t^7.93 - 2*t^8.04 + 10*t^8.15 - 2*t^8.44 - 3*t^8.55 + 10*t^8.65 + 6*t^8.95 + t^8.04/y^2 - (2*t^8.55)/y^2 - t^3.51/y - t^4.53/y - (2*t^5.55)/y - (2*t^6.05)/y - (3*t^6.56)/y - t^6.96/y - t^7.07/y + t^7.47/y - t^7.98/y - t^8.09/y + (3*t^8.49)/y - (6*t^8.6)/y - t^3.51*y - t^4.53*y - 2*t^5.55*y - 2*t^6.05*y - 3*t^6.56*y - t^6.96*y - t^7.07*y + t^7.47*y - t^7.98*y - t^8.09*y + 3*t^8.49*y - 6*t^8.6*y + t^8.04*y^2 - 2*t^8.55*y^2 (2*t^2.04)/g2^4 + (g1^2*t^2.55)/g2^11 + (g2*t^2.55)/g1^2 + t^3.05/g2^6 + g2^5*t^3.45 + (3*t^4.07)/g2^8 + (g1^2*t^4.47)/g2^3 + g2^3*t^4.47 + (g2^9*t^4.47)/g1^2 + (2*g1^2*t^4.58)/g2^15 + (2*t^4.58)/(g1^2*g2^3) + g2^2*t^4.98 + (g1^4*t^5.09)/g2^22 + (3*t^5.09)/g2^10 + (g2^2*t^5.09)/g1^4 + 2*g2*t^5.49 + (g1^2*t^5.6)/g2^17 + t^5.6/(g1^2*g2^5) - 2*t^6. + (5*t^6.11)/g2^12 + (g1^2*t^6.51)/g2^7 + (2*t^6.51)/g2 + (g2^5*t^6.51)/g1^2 + (3*g1^2*t^6.62)/g2^19 + (3*t^6.62)/(g1^2*g2^7) + g2^10*t^6.91 + (g1^4*t^7.02)/g2^14 + (3*t^7.02)/g2^2 + (g2^10*t^7.02)/g1^4 + (2*g1^4*t^7.13)/g2^26 + (5*t^7.13)/g2^14 + (2*t^7.13)/(g1^4*g2^2) + (g1^2*t^7.53)/g2^9 + (3*t^7.53)/g2^3 + (g2^3*t^7.53)/g1^2 + (g1^6*t^7.64)/g2^33 + (3*g1^2*t^7.64)/g2^21 + (3*t^7.64)/(g1^2*g2^9) + (g2^3*t^7.64)/g1^6 + g1^2*g2^2*t^7.93 + (g2^14*t^7.93)/g1^2 - (2*t^8.04)/g2^4 + (g1^4*t^8.15)/g2^28 + (8*t^8.15)/g2^16 + t^8.15/(g1^4*g2^4) - g1^2*g2*t^8.44 - (g2^13*t^8.44)/g1^2 - (g1^2*t^8.55)/g2^11 - t^8.55/g2^5 - (g2*t^8.55)/g1^2 + (5*g1^2*t^8.65)/g2^23 + (5*t^8.65)/(g1^2*g2^11) + g1^2*t^8.95 + (g1^4*t^8.95)/g2^6 + 2*g2^6*t^8.95 + (g2^12*t^8.95)/g1^2 + (g2^18*t^8.95)/g1^4 + t^8.04/(g2^4*y^2) - (2*t^8.55)/(g2^5*y^2) - t^3.51/(g2*y) - t^4.53/(g2^3*y) - (2*t^5.55)/(g2^5*y) - t^6.05/(g1^2*y) - (g1^2*t^6.05)/(g2^12*y) - (3*t^6.56)/(g2^7*y) - (g2^4*t^6.96)/y - (g1^2*t^7.07)/(g2^14*y) + t^7.07/(g2^8*y) - t^7.07/(g1^2*g2^2*y) + (g2^3*t^7.47)/y + (2*g1^2*t^7.58)/(g2^15*y) - (4*t^7.58)/(g2^9*y) + (2*t^7.58)/(g1^2*g2^3*y) - (g2^2*t^7.98)/y - (2*g1^2*t^8.09)/(g2^16*y) + (3*t^8.09)/(g2^10*y) - (2*t^8.09)/(g1^2*g2^4*y) + (3*g2*t^8.49)/y - (g1^4*t^8.6)/(g2^23*y) + (g1^2*t^8.6)/(g2^17*y) - (6*t^8.6)/(g2^11*y) + t^8.6/(g1^2*g2^5*y) - (g2*t^8.6)/(g1^4*y) - (t^3.51*y)/g2 - (t^4.53*y)/g2^3 - (2*t^5.55*y)/g2^5 - (t^6.05*y)/g1^2 - (g1^2*t^6.05*y)/g2^12 - (3*t^6.56*y)/g2^7 - g2^4*t^6.96*y - (g1^2*t^7.07*y)/g2^14 + (t^7.07*y)/g2^8 - (t^7.07*y)/(g1^2*g2^2) + g2^3*t^7.47*y + (2*g1^2*t^7.58*y)/g2^15 - (4*t^7.58*y)/g2^9 + (2*t^7.58*y)/(g1^2*g2^3) - g2^2*t^7.98*y - (2*g1^2*t^8.09*y)/g2^16 + (3*t^8.09*y)/g2^10 - (2*t^8.09*y)/(g1^2*g2^4) + 3*g2*t^8.49*y - (g1^4*t^8.6*y)/g2^23 + (g1^2*t^8.6*y)/g2^17 - (6*t^8.6*y)/g2^11 + (t^8.6*y)/(g1^2*g2^5) - (g2*t^8.6*y)/g1^4 + (t^8.04*y^2)/g2^4 - (2*t^8.55*y^2)/g2^5


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
8771 $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1q_2^2$ + $ M_4^2$ 1.1777 1.3199 0.8923 [X:[1.6373], M:[1.0881, 0.8135, 0.7254, 1.0], q:[0.5026, 0.4093], qb:[], phi:[0.1813]] 2*t^2.18 + t^2.44 + t^3. + t^3.26 + t^3.28 + t^4.09 + 3*t^4.35 + t^4.37 + 2*t^4.62 + t^4.65 + t^4.88 + t^4.91 + 2*t^5.18 + 3*t^5.44 + 2*t^5.46 + t^5.7 - t^6. - t^3.54/y - t^4.63/y - (2*t^5.72)/y - t^5.98/y - t^3.54*y - t^4.63*y - 2*t^5.72*y - t^5.98*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
8440 Sp2adj1nf1 $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ 1.1823 1.3207 0.8952 [X:[1.6508], M:[1.0475, 0.8332, 0.6984], q:[0.4961, 0.4563], qb:[], phi:[0.1746]] 2*t^2.1 + t^2.5 + t^3.14 + t^3.26 + t^3.38 + 3*t^4.19 + t^4.31 + t^4.43 + t^4.55 + 2*t^4.59 + t^4.95 + t^5. + 2*t^5.24 + 2*t^5.36 + 2*t^5.48 + t^5.64 + t^5.76 - 2*t^6. - t^3.52/y - t^4.57/y - (2*t^5.62)/y - t^3.52*y - t^4.57*y - 2*t^5.62*y detail