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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
56867 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_7q_2\tilde{q}_1$ + $ M_8\phi_1q_1^2$ 0.7392 0.931 0.794 [X:[], M:[0.931, 1.0546, 0.9598, 0.8362, 1.0546, 0.9454, 0.8362, 0.6767], q:[0.4253, 0.6437], qb:[0.5201, 0.5201], phi:[0.4727]] [X:[], M:[[-4, 8], [2, 2], [0, -12], [-6, -6], [2, 2], [-2, -2], [-6, -6], [5, 17]], q:[[-2, -8], [6, 0]], qb:[[0, 6], [0, 6]], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_8$, $ M_4$, $ M_7$, $ M_1$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_2$, $ M_8^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_8$, $ M_7M_8$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_1M_8$, $ M_6M_8$, $ M_8\phi_1^2$, $ M_3M_8$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_2M_8$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_1M_7$, $ M_4M_6$, $ M_6M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_3M_4$, $ M_3M_7$, $ M_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_6^2$, $ M_2M_7$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_3^2$, $ M_1M_2$ $M_2\phi_1^2$ -4 t^2.03 + 2*t^2.51 + t^2.79 + 2*t^2.84 + t^2.88 + t^3.16 + t^4.06 + 2*t^4.25 + 5*t^4.54 + t^4.63 + t^4.82 + 2*t^4.87 + 3*t^4.91 + 3*t^5.02 + t^5.19 + t^5.28 + 2*t^5.3 + 3*t^5.34 + 2*t^5.39 + t^5.59 + 6*t^5.67 + t^5.76 + t^5.96 - 4*t^6. + t^6.04 + t^6.09 - 2*t^6.37 + 5*t^6.57 + 3*t^6.76 + t^6.85 + 2*t^6.9 + 3*t^6.94 + 9*t^7.05 + 3*t^7.09 + t^7.13 + t^7.22 + t^7.31 + 5*t^7.33 + 7*t^7.37 + 5*t^7.42 + t^7.5 + 4*t^7.53 + t^7.62 + 6*t^7.7 - t^7.75 + 3*t^7.79 + 3*t^7.81 + 4*t^7.85 + 3*t^7.9 + t^7.99 - 6*t^8.03 + t^8.07 + 2*t^8.09 + t^8.12 + t^8.16 + 9*t^8.18 - t^8.22 + 2*t^8.27 + t^8.38 - 3*t^8.4 + 3*t^8.47 - 5*t^8.51 + 2*t^8.55 + 5*t^8.6 + t^8.64 + t^8.75 - 2*t^8.79 - 6*t^8.84 - 6*t^8.88 + t^8.92 + 2*t^8.93 + 3*t^8.97 - t^4.42/y - t^6.45/y - (2*t^6.93)/y - t^7.21/y - t^7.3/y + (3*t^7.54)/y + t^7.63/y + t^7.82/y + (2*t^7.87)/y + (3*t^7.91)/y + t^8.02/y + t^8.19/y + (2*t^8.3)/y + (4*t^8.34)/y + (3*t^8.39)/y - t^8.48/y + (2*t^8.63)/y + (4*t^8.67)/y + (2*t^8.72)/y - t^8.96/y - t^4.42*y - t^6.45*y - 2*t^6.93*y - t^7.21*y - t^7.3*y + 3*t^7.54*y + t^7.63*y + t^7.82*y + 2*t^7.87*y + 3*t^7.91*y + t^8.02*y + t^8.19*y + 2*t^8.3*y + 4*t^8.34*y + 3*t^8.39*y - t^8.48*y + 2*t^8.63*y + 4*t^8.67*y + 2*t^8.72*y - t^8.96*y g1^5*g2^17*t^2.03 + (2*t^2.51)/(g1^6*g2^6) + (g2^8*t^2.79)/g1^4 + (2*t^2.84)/(g1^2*g2^2) + t^2.88/g2^12 + g1^2*g2^2*t^3.16 + g1^10*g2^34*t^4.06 + (2*t^4.25)/(g1^3*g2^3) + (5*g2^11*t^4.54)/g1 + (g1^3*t^4.63)/g2^9 + g1*g2^25*t^4.82 + 2*g1^3*g2^15*t^4.87 + 3*g1^5*g2^5*t^4.91 + (3*t^5.02)/(g1^12*g2^12) + g1^7*g2^19*t^5.19 + (g1^11*t^5.28)/g2 + (2*g2^2*t^5.3)/g1^10 + (3*t^5.34)/(g1^8*g2^8) + (2*t^5.39)/(g1^6*g2^18) + (g2^16*t^5.59)/g1^8 + (6*t^5.67)/(g1^4*g2^4) + t^5.76/g2^24 + (g2^10*t^5.96)/g1^2 - 4*t^6. + (g1^2*t^6.04)/g2^10 + g1^15*g2^51*t^6.09 - (2*g1^6*t^6.37)/g2^6 + 5*g1^4*g2^28*t^6.57 + (3*t^6.76)/(g1^9*g2^9) + g1^6*g2^42*t^6.85 + 2*g1^8*g2^32*t^6.9 + 3*g1^10*g2^22*t^6.94 + (9*g2^5*t^7.05)/g1^7 + (3*t^7.09)/(g1^5*g2^5) + t^7.13/(g1^3*g2^15) + g1^12*g2^36*t^7.22 + g1^16*g2^16*t^7.31 + (5*g2^19*t^7.33)/g1^5 + (7*g2^9*t^7.37)/g1^3 + (5*t^7.42)/(g1*g2) + (g1^3*t^7.5)/g2^21 + (4*t^7.53)/(g1^18*g2^18) + (g2^33*t^7.62)/g1^3 + 6*g1*g2^13*t^7.7 - g1^3*g2^3*t^7.75 + (3*g1^5*t^7.79)/g2^7 + (3*t^7.81)/(g1^16*g2^4) + (4*t^7.85)/(g1^14*g2^14) + (3*t^7.9)/(g1^12*g2^24) + g1^3*g2^27*t^7.99 - 6*g1^5*g2^17*t^8.03 + g1^7*g2^7*t^8.07 + (2*g2^10*t^8.09)/g1^14 + g1^20*g2^68*t^8.12 + (g1^11*t^8.16)/g2^13 + (9*t^8.18)/(g1^10*g2^10) - t^8.22/(g1^8*g2^20) + (2*t^8.27)/(g1^6*g2^30) + (g2^24*t^8.38)/g1^12 - 3*g1^11*g2^11*t^8.4 + (3*g2^4*t^8.47)/g1^8 - (5*t^8.51)/(g1^6*g2^6) + (2*t^8.55)/(g1^4*g2^16) + 5*g1^9*g2^45*t^8.6 + t^8.64/g2^36 + (g2^18*t^8.75)/g1^6 - (2*g2^8*t^8.79)/g1^4 - (6*t^8.84)/(g1^2*g2^2) - (7*t^8.88)/g2^12 + g1^11*g2^59*t^8.88 + (g1^2*t^8.92)/g2^22 + 2*g1^13*g2^49*t^8.93 + 3*g1^15*g2^39*t^8.97 - t^4.42/(g1*g2*y) - (g1^4*g2^16*t^6.45)/y - (2*t^6.93)/(g1^7*g2^7*y) - (g2^7*t^7.21)/(g1^5*y) - t^7.3/(g1*g2^13*y) + (3*g2^11*t^7.54)/(g1*y) + (g1^3*t^7.63)/(g2^9*y) + (g1*g2^25*t^7.82)/y + (2*g1^3*g2^15*t^7.87)/y + (3*g1^5*g2^5*t^7.91)/y + t^8.02/(g1^12*g2^12*y) + (g1^7*g2^19*t^8.19)/y + (2*g2^2*t^8.3)/(g1^10*y) + (4*t^8.34)/(g1^8*g2^8*y) + (3*t^8.39)/(g1^6*g2^18*y) - (g1^9*g2^33*t^8.48)/y + (2*g2^6*t^8.63)/(g1^6*y) + (4*t^8.67)/(g1^4*g2^4*y) + (2*t^8.72)/(g1^2*g2^14*y) - (g2^10*t^8.96)/(g1^2*y) - (t^4.42*y)/(g1*g2) - g1^4*g2^16*t^6.45*y - (2*t^6.93*y)/(g1^7*g2^7) - (g2^7*t^7.21*y)/g1^5 - (t^7.3*y)/(g1*g2^13) + (3*g2^11*t^7.54*y)/g1 + (g1^3*t^7.63*y)/g2^9 + g1*g2^25*t^7.82*y + 2*g1^3*g2^15*t^7.87*y + 3*g1^5*g2^5*t^7.91*y + (t^8.02*y)/(g1^12*g2^12) + g1^7*g2^19*t^8.19*y + (2*g2^2*t^8.3*y)/g1^10 + (4*t^8.34*y)/(g1^8*g2^8) + (3*t^8.39*y)/(g1^6*g2^18) - g1^9*g2^33*t^8.48*y + (2*g2^6*t^8.63*y)/g1^6 + (4*t^8.67*y)/(g1^4*g2^4) + (2*t^8.72*y)/(g1^2*g2^14) - (g2^10*t^8.96*y)/g1^2


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


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
55199 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_7q_2\tilde{q}_1$ 0.7184 0.8903 0.8069 [X:[], M:[0.9328, 1.0555, 0.9561, 0.8334, 1.0555, 0.9445, 0.8334], q:[0.4225, 0.6447], qb:[0.5219, 0.5219], phi:[0.4722]] 2*t^2.5 + t^2.8 + 2*t^2.83 + t^2.87 + t^3.17 + t^3.95 + 2*t^4.25 + 3*t^4.55 + t^4.62 + 2*t^4.92 + 3*t^5. + t^5.28 + 2*t^5.3 + 3*t^5.33 + 2*t^5.37 + t^5.6 + 6*t^5.67 + t^5.74 + t^5.96 - 4*t^6. - t^4.42/y - t^4.42*y detail