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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
45980 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1^2$ 0.6489 0.7994 0.8117 [X:[], M:[0.6959, 0.6959, 0.6824, 1.2905], q:[0.4814, 0.8226], qb:[0.8226, 0.4543], phi:[0.3548]] [X:[], M:[[-4, -3, 1], [-3, -4, 1], [-5, -5, 2], [2, 2, 0]], q:[[3, 3, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[-1, -1, 0]]] 3
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_3$, $ M_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_2M_3$, $ M_1M_3$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1^2\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_3q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_2q_2\tilde{q}_2$, $ M_3M_4$, $ M_3\phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_1M_4$ $\phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$ -3 t^2.05 + 2*t^2.09 + t^2.81 + t^3.79 + 2*t^3.83 + 2*t^3.87 + t^4.09 + 2*t^4.13 + 3*t^4.18 + t^4.85 + 2*t^4.9 + t^4.94 + t^5.61 + t^5.84 + 4*t^5.88 + 5*t^5.92 + 2*t^5.96 - 3*t^6. - 2*t^6.04 - t^6.08 + t^6.14 + 2*t^6.18 + 3*t^6.22 + 4*t^6.26 + t^6.6 + 2*t^6.64 + 2*t^6.68 + t^6.9 + 2*t^6.94 + 3*t^6.98 - 2*t^7.06 - 2*t^7.1 - t^7.15 + t^7.58 + 2*t^7.62 + 5*t^7.66 + 4*t^7.7 + t^7.74 - 2*t^7.78 - t^7.82 + t^7.88 + 4*t^7.93 + 8*t^7.97 + 6*t^8.01 - t^8.05 - 8*t^8.09 - 4*t^8.13 - 2*t^8.17 + t^8.19 + 2*t^8.23 + 3*t^8.27 + 4*t^8.31 + 5*t^8.35 + t^8.42 + t^8.64 + 4*t^8.69 + 5*t^8.73 + 2*t^8.77 - 3*t^8.81 - 4*t^8.85 - 2*t^8.89 + t^8.95 + 2*t^8.99 - t^4.06/y - t^6.11/y - (2*t^6.15)/y + (2*t^7.13)/y + t^7.18/y + t^7.85/y + (2*t^7.9)/y + (2*t^7.98)/y + t^8.02/y - t^8.16/y - (2*t^8.2)/y - (3*t^8.24)/y + t^8.84/y + (4*t^8.88)/y + (6*t^8.92)/y + (4*t^8.96)/y - t^4.06*y - t^6.11*y - 2*t^6.15*y + 2*t^7.13*y + t^7.18*y + t^7.85*y + 2*t^7.9*y + 2*t^7.98*y + t^8.02*y - t^8.16*y - 2*t^8.2*y - 3*t^8.24*y + t^8.84*y + 4*t^8.88*y + 6*t^8.92*y + 4*t^8.96*y (g3^2*t^2.05)/(g1^5*g2^5) + (g3*t^2.09)/(g1^3*g2^4) + (g3*t^2.09)/(g1^4*g2^3) + g1^3*g2^3*t^2.81 + (g3^2*t^3.79)/(g1*g2) + g1*g3*t^3.83 + g2*g3*t^3.83 + 2*g1^2*g2^2*t^3.87 + (g3^4*t^4.09)/(g1^10*g2^10) + (g3^3*t^4.13)/(g1^8*g2^9) + (g3^3*t^4.13)/(g1^9*g2^8) + (g3^2*t^4.18)/(g1^6*g2^8) + (g3^2*t^4.18)/(g1^7*g2^7) + (g3^2*t^4.18)/(g1^8*g2^6) + (g3^2*t^4.85)/(g1^2*g2^2) + (g3*t^4.9)/g1 + (g3*t^4.9)/g2 + g1*g2*t^4.94 + g1^6*g2^6*t^5.61 + (g3^4*t^5.84)/(g1^6*g2^6) + (2*g3^3*t^5.88)/(g1^4*g2^5) + (2*g3^3*t^5.88)/(g1^5*g2^4) + (g3^2*t^5.92)/(g1^2*g2^4) + (3*g3^2*t^5.92)/(g1^3*g2^3) + (g3^2*t^5.92)/(g1^4*g2^2) + (g3*t^5.96)/(g1*g2^2) + (g3*t^5.96)/(g1^2*g2) - 3*t^6. - (g1^2*g2*t^6.04)/g3 - (g1*g2^2*t^6.04)/g3 - (g1^3*g2^3*t^6.08)/g3^2 + (g3^6*t^6.14)/(g1^15*g2^15) + (g3^5*t^6.18)/(g1^13*g2^14) + (g3^5*t^6.18)/(g1^14*g2^13) + (g3^4*t^6.22)/(g1^11*g2^13) + (g3^4*t^6.22)/(g1^12*g2^12) + (g3^4*t^6.22)/(g1^13*g2^11) + (g3^3*t^6.26)/(g1^9*g2^12) + (g3^3*t^6.26)/(g1^10*g2^11) + (g3^3*t^6.26)/(g1^11*g2^10) + (g3^3*t^6.26)/(g1^12*g2^9) + g1^2*g2^2*g3^2*t^6.6 + g1^4*g2^3*g3*t^6.64 + g1^3*g2^4*g3*t^6.64 + 2*g1^5*g2^5*t^6.68 + (g3^4*t^6.9)/(g1^7*g2^7) + (g3^3*t^6.94)/(g1^5*g2^6) + (g3^3*t^6.94)/(g1^6*g2^5) + (g3^2*t^6.98)/(g1^3*g2^5) + (g3^2*t^6.98)/(g1^4*g2^4) + (g3^2*t^6.98)/(g1^5*g2^3) - (2*t^7.06)/(g1*g2) - (g1*t^7.1)/g3 - (g2*t^7.1)/g3 - (g1^2*g2^2*t^7.15)/g3^2 + (g3^4*t^7.58)/(g1^2*g2^2) + (g3^3*t^7.62)/g1 + (g3^3*t^7.62)/g2 + g1^2*g3^2*t^7.66 + 3*g1*g2*g3^2*t^7.66 + g2^2*g3^2*t^7.66 + 2*g1^3*g2^2*g3*t^7.7 + 2*g1^2*g2^3*g3*t^7.7 + g1^4*g2^4*t^7.74 - (g1^6*g2^5*t^7.78)/g3 - (g1^5*g2^6*t^7.78)/g3 - (g1^7*g2^7*t^7.82)/g3^2 + (g3^6*t^7.88)/(g1^11*g2^11) + (2*g3^5*t^7.93)/(g1^9*g2^10) + (2*g3^5*t^7.93)/(g1^10*g2^9) + (2*g3^4*t^7.97)/(g1^7*g2^9) + (4*g3^4*t^7.97)/(g1^8*g2^8) + (2*g3^4*t^7.97)/(g1^9*g2^7) + (g3^3*t^8.01)/(g1^5*g2^8) + (2*g3^3*t^8.01)/(g1^6*g2^7) + (2*g3^3*t^8.01)/(g1^7*g2^6) + (g3^3*t^8.01)/(g1^8*g2^5) + (g3^2*t^8.05)/(g1^4*g2^6) - (3*g3^2*t^8.05)/(g1^5*g2^5) + (g3^2*t^8.05)/(g1^6*g2^4) - (4*g3*t^8.09)/(g1^3*g2^4) - (4*g3*t^8.09)/(g1^4*g2^3) - t^8.13/(g1*g2^3) - (2*t^8.13)/(g1^2*g2^2) - t^8.13/(g1^3*g2) - t^8.17/(g1*g3) - t^8.17/(g2*g3) + (g3^8*t^8.19)/(g1^20*g2^20) + (g3^7*t^8.23)/(g1^18*g2^19) + (g3^7*t^8.23)/(g1^19*g2^18) + (g3^6*t^8.27)/(g1^16*g2^18) + (g3^6*t^8.27)/(g1^17*g2^17) + (g3^6*t^8.27)/(g1^18*g2^16) + (g3^5*t^8.31)/(g1^14*g2^17) + (g3^5*t^8.31)/(g1^15*g2^16) + (g3^5*t^8.31)/(g1^16*g2^15) + (g3^5*t^8.31)/(g1^17*g2^14) + (g3^4*t^8.35)/(g1^12*g2^16) + (g3^4*t^8.35)/(g1^13*g2^15) + (g3^4*t^8.35)/(g1^14*g2^14) + (g3^4*t^8.35)/(g1^15*g2^13) + (g3^4*t^8.35)/(g1^16*g2^12) + g1^9*g2^9*t^8.42 + (g3^4*t^8.64)/(g1^3*g2^3) + (2*g3^3*t^8.69)/(g1*g2^2) + (2*g3^3*t^8.69)/(g1^2*g2) + 3*g3^2*t^8.73 + (g1*g3^2*t^8.73)/g2 + (g2*g3^2*t^8.73)/g1 + g1^2*g2*g3*t^8.77 + g1*g2^2*g3*t^8.77 - 3*g1^3*g2^3*t^8.81 - (2*g1^5*g2^4*t^8.85)/g3 - (2*g1^4*g2^5*t^8.85)/g3 - (2*g1^6*g2^6*t^8.89)/g3^2 + (g3^6*t^8.95)/(g1^12*g2^12) + (g3^5*t^8.99)/(g1^10*g2^11) + (g3^5*t^8.99)/(g1^11*g2^10) - t^4.06/(g1*g2*y) - (g3^2*t^6.11)/(g1^6*g2^6*y) - (g3*t^6.15)/(g1^4*g2^5*y) - (g3*t^6.15)/(g1^5*g2^4*y) + (g3^3*t^7.13)/(g1^8*g2^9*y) + (g3^3*t^7.13)/(g1^9*g2^8*y) + (g3^2*t^7.18)/(g1^7*g2^7*y) + (g3^2*t^7.85)/(g1^2*g2^2*y) + (g3*t^7.9)/(g1*y) + (g3*t^7.9)/(g2*y) + (g1^3*g2^2*t^7.98)/(g3*y) + (g1^2*g2^3*t^7.98)/(g3*y) + (g1^4*g2^4*t^8.02)/(g3^2*y) - (g3^4*t^8.16)/(g1^11*g2^11*y) - (g3^3*t^8.2)/(g1^9*g2^10*y) - (g3^3*t^8.2)/(g1^10*g2^9*y) - (g3^2*t^8.24)/(g1^7*g2^9*y) - (g3^2*t^8.24)/(g1^8*g2^8*y) - (g3^2*t^8.24)/(g1^9*g2^7*y) + (g3^4*t^8.84)/(g1^6*g2^6*y) + (2*g3^3*t^8.88)/(g1^4*g2^5*y) + (2*g3^3*t^8.88)/(g1^5*g2^4*y) + (g3^2*t^8.92)/(g1^2*g2^4*y) + (4*g3^2*t^8.92)/(g1^3*g2^3*y) + (g3^2*t^8.92)/(g1^4*g2^2*y) + (2*g3*t^8.96)/(g1*g2^2*y) + (2*g3*t^8.96)/(g1^2*g2*y) - (t^4.06*y)/(g1*g2) - (g3^2*t^6.11*y)/(g1^6*g2^6) - (g3*t^6.15*y)/(g1^4*g2^5) - (g3*t^6.15*y)/(g1^5*g2^4) + (g3^3*t^7.13*y)/(g1^8*g2^9) + (g3^3*t^7.13*y)/(g1^9*g2^8) + (g3^2*t^7.18*y)/(g1^7*g2^7) + (g3^2*t^7.85*y)/(g1^2*g2^2) + (g3*t^7.9*y)/g1 + (g3*t^7.9*y)/g2 + (g1^3*g2^2*t^7.98*y)/g3 + (g1^2*g2^3*t^7.98*y)/g3 + (g1^4*g2^4*t^8.02*y)/g3^2 - (g3^4*t^8.16*y)/(g1^11*g2^11) - (g3^3*t^8.2*y)/(g1^9*g2^10) - (g3^3*t^8.2*y)/(g1^10*g2^9) - (g3^2*t^8.24*y)/(g1^7*g2^9) - (g3^2*t^8.24*y)/(g1^8*g2^8) - (g3^2*t^8.24*y)/(g1^9*g2^7) + (g3^4*t^8.84*y)/(g1^6*g2^6) + (2*g3^3*t^8.88*y)/(g1^4*g2^5) + (2*g3^3*t^8.88*y)/(g1^5*g2^4) + (g3^2*t^8.92*y)/(g1^2*g2^4) + (4*g3^2*t^8.92*y)/(g1^3*g2^3) + (g3^2*t^8.92*y)/(g1^4*g2^2) + (2*g3*t^8.96*y)/(g1*g2^2) + (2*g3*t^8.96*y)/(g1^2*g2)


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
46146 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1^2$ + $ M_2\phi_1\tilde{q}_2^2$ 0.6485 0.7962 0.8144 [X:[], M:[0.6921, 0.7101, 0.6981, 1.2959], q:[0.4749, 0.833], qb:[0.8149, 0.4689], phi:[0.3521]] t^2.08 + t^2.09 + t^2.13 + t^2.83 + t^3.85 + t^3.87 + 2*t^3.89 + t^3.91 + t^4.15 + t^4.17 + t^4.19 + t^4.21 + t^4.22 + t^4.26 + t^4.91 + t^4.93 + t^4.94 + t^4.96 + t^5.66 + t^5.93 + 2*t^5.95 + 2*t^5.96 + 2*t^5.98 - t^6. - t^4.06/y - t^4.06*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
45886 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ 0.6693 0.8377 0.7989 [X:[], M:[0.6919, 0.6919, 0.6801], q:[0.4841, 0.8241], qb:[0.8241, 0.4605], phi:[0.3518]] t^2.04 + 2*t^2.08 + t^2.11 + t^2.83 + t^3.82 + 2*t^3.85 + t^3.89 + t^4.08 + 2*t^4.12 + 4*t^4.15 + 2*t^4.19 + t^4.22 + t^4.87 + 2*t^4.91 + 2*t^4.94 + t^5.67 + t^5.86 + 4*t^5.89 + 5*t^5.93 + 2*t^5.96 - 2*t^6. - t^4.06/y - t^4.06*y detail