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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
46045 SU2adj1nf2 $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3q_1\tilde{q}_1$ 0.6066 0.7782 0.7795 [X:[], M:[0.9854, 1.0439, 0.7625], q:[0.7463, 0.2683], qb:[0.4911, 0.4649], phi:[0.5073]] [X:[], M:[[4, 4], [-12, -12], [-13, -1]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_3$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_3$, $ M_3\phi_1q_2^2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ -1 t^2.2 + t^2.28 + t^2.29 + t^2.96 + t^3.04 + 2*t^3.13 + t^3.63 + t^3.72 + t^3.8 + t^4.31 + t^4.39 + t^4.4 + t^4.47 + t^4.48 + t^4.49 + t^4.56 + t^4.57 + t^4.58 + t^5.16 + t^5.23 + 2*t^5.24 + t^5.32 + 2*t^5.33 + t^5.41 + 2*t^5.42 + t^5.83 + t^5.91 + t^5.92 - t^6. + t^6.01 + 2*t^6.09 + 2*t^6.18 + 3*t^6.26 + t^6.51 + t^6.59 + 2*t^6.6 + 2*t^6.68 + t^6.69 + t^6.75 + t^6.76 + 3*t^6.77 + t^6.83 + 2*t^6.85 + t^6.86 + t^6.93 + t^7.27 + 2*t^7.36 + 3*t^7.44 + t^7.51 + t^7.52 + 3*t^7.53 + 2*t^7.6 + t^7.61 + 2*t^7.62 + t^7.69 + t^7.7 + 2*t^7.71 + t^7.95 + 2*t^8.03 + t^8.12 - t^8.2 + t^8.21 + t^8.27 - 2*t^8.28 - t^8.29 + t^8.3 + 3*t^8.38 + t^8.45 + 3*t^8.46 + t^8.54 + 3*t^8.55 + t^8.62 + t^8.7 + t^8.71 + t^8.78 + t^8.79 + 2*t^8.8 + t^8.86 + t^8.88 + 2*t^8.89 + t^8.94 - 3*t^8.96 + 3*t^8.97 - t^4.52/y - t^6.81/y + t^7.39/y + t^7.48/y + t^7.49/y + t^7.57/y - t^7.65/y + t^8.16/y + (2*t^8.23)/y + (2*t^8.24)/y + t^8.32/y + (3*t^8.33)/y + (2*t^8.41)/y + (2*t^8.42)/y + t^8.83/y + t^8.91/y + (2*t^8.92)/y - t^4.52*y - t^6.81*y + t^7.39*y + t^7.48*y + t^7.49*y + t^7.57*y - t^7.65*y + t^8.16*y + 2*t^8.23*y + 2*t^8.24*y + t^8.32*y + 3*t^8.33*y + 2*t^8.41*y + 2*t^8.42*y + t^8.83*y + t^8.91*y + 2*t^8.92*y (g2^7*t^2.2)/g1^5 + (g1^7*t^2.28)/g2^5 + t^2.29/(g1^13*g2) + g1^4*g2^4*t^2.96 + t^3.04/(g1^4*g2^4) + (2*t^3.13)/(g1^12*g2^12) + g1*g2^13*t^3.63 + (g2^5*t^3.72)/g1^7 + (g1^5*t^3.8)/g2^7 + (g2^22*t^4.31)/g1^2 + g1^10*g2^10*t^4.39 + (g2^14*t^4.4)/g1^10 + (g1^22*t^4.47)/g2^2 + g1^2*g2^2*t^4.48 + (g2^6*t^4.49)/g1^18 + (g1^14*t^4.56)/g2^10 + t^4.57/(g1^6*g2^6) + t^4.58/(g1^26*g2^2) + (g2^11*t^5.16)/g1 + (g1^11*t^5.23)/g2 + (2*g2^3*t^5.24)/g1^9 + (g1^3*t^5.32)/g2^9 + (2*t^5.33)/(g1^17*g2^5) + t^5.41/(g1^5*g2^17) + (2*t^5.42)/(g1^25*g2^13) + (g2^20*t^5.83)/g1^4 + g1^8*g2^8*t^5.91 + (g2^12*t^5.92)/g1^12 - t^6. + (g2^4*t^6.01)/g1^20 + (2*t^6.09)/(g1^8*g2^8) + (2*t^6.18)/(g1^16*g2^16) + (3*t^6.26)/(g1^24*g2^24) + (g2^29*t^6.51)/g1^7 + g1^5*g2^17*t^6.59 + (2*g2^21*t^6.6)/g1^15 + (2*g2^9*t^6.68)/g1^3 + (g2^13*t^6.69)/g1^23 + (g1^29*t^6.75)/g2^7 + (g1^9*t^6.76)/g2^3 + (2*g2*t^6.77)/g1^11 + (g2^5*t^6.77)/g1^31 + (g1^21*t^6.83)/g2^15 + (2*t^6.85)/(g1^19*g2^7) + t^6.86/(g1^39*g2^3) + t^6.93/(g1^7*g2^19) + g1^2*g2^26*t^7.27 + (2*g2^18*t^7.36)/g1^6 + (3*g2^10*t^7.44)/g1^14 + (g1^18*t^7.51)/g2^6 + t^7.52/(g1^2*g2^2) + (3*g2^2*t^7.53)/g1^22 + (2*g1^10*t^7.6)/g2^14 + t^7.61/(g1^10*g2^10) + (2*t^7.62)/(g1^30*g2^6) + (g1^2*t^7.69)/g2^22 + t^7.7/(g1^18*g2^18) + (2*t^7.71)/(g1^38*g2^14) + (g2^35*t^7.95)/g1 + (2*g2^27*t^8.03)/g1^9 + (g2^19*t^8.12)/g1^17 - (g2^7*t^8.2)/g1^5 + (g2^11*t^8.21)/g1^25 + (g1^27*t^8.27)/g2^9 - (2*g1^7*t^8.28)/g2^5 - t^8.29/(g1^13*g2) + (g2^3*t^8.3)/g1^33 + (3*t^8.38)/(g1^21*g2^9) + t^8.45/(g1^9*g2^21) + (3*t^8.46)/(g1^29*g2^17) + t^8.54/(g1^17*g2^29) + (3*t^8.55)/(g1^37*g2^25) + (g2^44*t^8.62)/g1^4 + g1^8*g2^32*t^8.7 + (g2^36*t^8.71)/g1^12 + g1^20*g2^20*t^8.78 + g2^24*t^8.79 + (2*g2^28*t^8.8)/g1^20 + g1^32*g2^8*t^8.86 + (g2^16*t^8.88)/g1^8 + (2*g2^20*t^8.89)/g1^28 + (g1^44*t^8.94)/g2^4 - 3*g1^4*g2^4*t^8.96 + (2*g2^8*t^8.97)/g1^16 + (g2^12*t^8.97)/g1^36 - t^4.52/(g1^2*g2^2*y) - t^6.81/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.39)/y + (g1^2*g2^2*t^7.48)/y + (g2^6*t^7.49)/(g1^18*y) + t^7.57/(g1^6*g2^6*y) - t^7.65/(g1^14*g2^14*y) + (g2^11*t^8.16)/(g1*y) + (2*g1^11*t^8.23)/(g2*y) + (2*g2^3*t^8.24)/(g1^9*y) + (g1^3*t^8.32)/(g2^9*y) + (3*t^8.33)/(g1^17*g2^5*y) + (2*t^8.41)/(g1^5*g2^17*y) + (2*t^8.42)/(g1^25*g2^13*y) + (g2^20*t^8.83)/(g1^4*y) + (g1^8*g2^8*t^8.91)/y + (2*g2^12*t^8.92)/(g1^12*y) - (t^4.52*y)/(g1^2*g2^2) - (t^6.81*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.39*y + g1^2*g2^2*t^7.48*y + (g2^6*t^7.49*y)/g1^18 + (t^7.57*y)/(g1^6*g2^6) - (t^7.65*y)/(g1^14*g2^14) + (g2^11*t^8.16*y)/g1 + (2*g1^11*t^8.23*y)/g2 + (2*g2^3*t^8.24*y)/g1^9 + (g1^3*t^8.32*y)/g2^9 + (3*t^8.33*y)/(g1^17*g2^5) + (2*t^8.41*y)/(g1^5*g2^17) + (2*t^8.42*y)/(g1^25*g2^13) + (g2^20*t^8.83*y)/g1^4 + g1^8*g2^8*t^8.91*y + (2*g2^12*t^8.92*y)/g1^12


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
46105 $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1^2$ 0.6083 0.7807 0.7792 [X:[], M:[0.9781, 1.0657, 0.7742, 0.9781], q:[0.7445, 0.2774], qb:[0.4812, 0.453], phi:[0.511]] t^2.19 + t^2.28 + t^2.32 + 2*t^2.93 + 2*t^3.2 + t^3.59 + t^3.72 + t^3.81 + t^4.25 + t^4.34 + t^4.38 + t^4.42 + t^4.47 + t^4.51 + t^4.55 + t^4.6 + t^4.65 + 2*t^5.13 + 2*t^5.21 + 2*t^5.26 + t^5.39 + t^5.47 + 2*t^5.52 + t^5.78 + 3*t^5.87 + t^5.92 - 2*t^6. - t^4.53/y - t^4.53*y detail
46250 $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ 0.6245 0.8105 0.7705 [X:[], M:[0.9922, 1.0234, 0.7637, 0.7637], q:[0.748, 0.2598], qb:[0.4883, 0.4883], phi:[0.5039]] 2*t^2.24 + 2*t^2.29 + t^2.98 + t^3.02 + 2*t^3.07 + 2*t^3.76 + 3*t^4.44 + 3*t^4.49 + 4*t^4.54 + 3*t^4.58 + 2*t^5.22 + 4*t^5.27 + 4*t^5.31 + 4*t^5.36 - t^6. - t^4.51/y - t^4.51*y detail
46161 $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ 0.6055 0.7763 0.78 [X:[], M:[0.9922, 1.0233, 0.7714], q:[0.7481, 0.2597], qb:[0.4806, 0.4961], phi:[0.5039]] t^2.22 + t^2.27 + t^2.31 + t^2.98 + t^3.02 + 2*t^3.07 + 2*t^3.73 + t^3.78 + t^4.4 + 2*t^4.44 + 2*t^4.49 + 2*t^4.53 + t^4.58 + t^4.63 + t^5.2 + 2*t^5.24 + 3*t^5.29 + 2*t^5.34 + 2*t^5.38 + t^5.95 - t^4.51/y - t^4.51*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
45874 SU2adj1nf2 $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ 0.5887 0.7456 0.7895 [X:[], M:[0.9784, 1.0648], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]] 2*t^2.23 + t^2.94 + t^3.06 + 2*t^3.19 + 2*t^3.64 + 2*t^3.77 + 3*t^4.34 + 3*t^4.47 + 2*t^5.17 + 2*t^5.3 + 2*t^5.43 + 4*t^5.87 - t^6. - t^4.53/y - t^4.53*y detail