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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
47900 SU3adj1nf2 $q_1^2\tilde{q}_1^2$ + $ M_1\phi_1q_2\tilde{q}_1$ 1.495 1.7254 0.8664 [X:[], M:[0.6707], q:[0.4996, 0.493], qb:[0.5004, 0.4921], phi:[0.3358]] [X:[], M:[[-5, -1, 1]], q:[[0, -1, 0], [6, 0, 0]], qb:[[0, 1, 0], [0, 0, 6]], phi:[[-1, 0, -1]]] 3
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ M_1$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1^3$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_1q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_1$, $ M_1q_1\tilde{q}_1$, $ M_1\phi_1^3$, $ \phi_1^5$, $ \phi_1q_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1^2q_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^3q_2\tilde{q}_2$, $ M_1\phi_1q_2\tilde{q}_2$, $ M_1\phi_1q_1\tilde{q}_2$ $\phi_1^3q_2\tilde{q}_1$, $ 2\phi_1^3q_1\tilde{q}_2$ 0 2*t^2.01 + t^2.96 + 2*t^2.98 + t^3. + t^3.02 + t^3.96 + t^3.98 + t^4.01 + t^4.02 + 2*t^4.03 + 3*t^4.97 + 4*t^4.99 + 2*t^5. + 3*t^5.01 + t^5.03 + t^5.04 + 2*t^5.46 + t^5.48 + t^5.49 + t^5.91 + t^5.93 + t^5.94 + t^5.95 + 3*t^5.96 + 3*t^5.98 + t^5.99 + t^6.02 + 5*t^6.04 + 2*t^6.47 + 2*t^6.49 + t^6.92 + 3*t^6.94 + 4*t^6.96 + 4*t^6.98 + 3*t^6.99 + 7*t^7. + 2*t^7.01 + t^7.02 + 3*t^7.03 + 3*t^7.05 + t^7.45 + t^7.46 + t^7.47 + 3*t^7.48 + 4*t^7.5 + t^7.52 + t^7.53 + t^7.92 + 3*t^7.93 + t^7.94 + 7*t^7.95 + 4*t^7.96 + 7*t^7.97 + 2*t^7.98 + 7*t^7.99 + t^8. + t^8.01 + 2*t^8.02 + 3*t^8.05 + 4*t^8.06 + 2*t^8.42 + 6*t^8.44 + 3*t^8.46 + t^8.47 + 2*t^8.48 - 2*t^8.53 + t^8.87 + 2*t^8.89 + 3*t^8.91 + t^8.92 + 6*t^8.93 + 2*t^8.94 + 7*t^8.95 - t^8.96 + 4*t^8.97 - t^8.98 + 3*t^8.99 - t^4.01/y - t^5.01/y - (2*t^6.02)/y - t^6.96/y - t^6.98/y - t^6.99/y - t^7.01/y - (2*t^7.03)/y + t^7.97/y + (3*t^7.99)/y + t^8./y + t^8.01/y - t^8.03/y - t^8.04/y + t^8.93/y + t^8.94/y + (2*t^8.96)/y + (2*t^8.98)/y - t^4.01*y - t^5.01*y - 2*t^6.02*y - t^6.96*y - t^6.98*y - t^6.99*y - t^7.01*y - 2*t^7.03*y + t^7.97*y + 3*t^7.99*y + t^8.*y + t^8.01*y - t^8.03*y - t^8.04*y + t^8.93*y + t^8.94*y + 2*t^8.96*y + 2*t^8.98*y t^2.01/(g1^2*g3^2) + (g3*t^2.01)/(g1^5*g2) + g1^6*g3^6*t^2.96 + g1^6*g2*t^2.98 + (g3^6*t^2.98)/g2 + t^3. + t^3.02/(g1^3*g3^3) + g1^5*g3^5*t^3.96 + (g3^5*t^3.98)/(g1*g2) + t^4.01/(g1*g3) + (g3^2*t^4.02)/(g1^10*g2^2) + t^4.03/(g1^4*g3^4) + t^4.03/(g1^7*g2*g3) + 2*g1^4*g3^4*t^4.97 + (g1*g3^7*t^4.97)/g2 + g1*g3*t^4.99 + (2*g3^4*t^4.99)/(g1^2*g2) + (g3^7*t^4.99)/(g1^5*g2^2) + (2*g1^4*g2*t^5.)/g3^2 + (2*t^5.01)/(g1^2*g3^2) + (g3*t^5.01)/(g1^5*g2) + t^5.03/(g1^8*g2*g3^2) + t^5.04/(g1^5*g3^5) + (g1^11*t^5.46)/(g2*g3) + (g2*g3^11*t^5.46)/g1 + (g1^5*t^5.48)/(g2^2*g3) + (g2^2*g3^5*t^5.49)/g1 + g1^12*g3^12*t^5.91 + (g1^6*g3^12*t^5.93)/g2 + g1^12*g2*g3^6*t^5.94 + (g3^12*t^5.95)/g2^2 + g1^12*g2^2*t^5.96 + 2*g1^6*g3^6*t^5.96 + 2*g1^3*g3^3*t^5.98 + (g3^6*t^5.98)/g2 + (g3^6*t^5.99)/(g1^6*g2^2) - 3*t^6. + (g1^3*g2*t^6.)/g3^3 + (2*g3^3*t^6.)/(g1^3*g2) - (g2*t^6.02)/g3^6 + (2*t^6.02)/(g1^3*g3^3) + t^6.04/(g1^12*g2^2) + (2*t^6.04)/(g1^6*g3^6) + t^6.04/(g1^9*g2*g3^3) + (g3^3*t^6.04)/(g1^15*g2^3) + (g1^10*t^6.47)/(g2*g3^2) + (g2*g3^10*t^6.47)/g1^2 + (g1^4*t^6.49)/(g2^2*g3^2) + (g2^2*g3^4*t^6.49)/g1^2 + g1^11*g3^11*t^6.92 + g1^11*g2*g3^5*t^6.94 + (2*g1^5*g3^11*t^6.94)/g2 + 3*g1^5*g3^5*t^6.96 + (g3^11*t^6.96)/(g1*g2^2) + (3*g3^5*t^6.98)/(g1*g2) + (g3^8*t^6.98)/(g1^4*g2^2) + 3*g1^2*g3^2*t^6.99 + (4*g3^2*t^7.)/(g1^4*g2) + (2*g3^5*t^7.)/(g1^7*g2^2) + (g3^8*t^7.)/(g1^10*g2^3) + (2*g1^2*g2*t^7.01)/g3^4 + (g3^2*t^7.02)/(g1^10*g2^2) - (g2*t^7.03)/(g1*g3^7) + (3*t^7.03)/(g1^4*g3^4) + t^7.03/(g1^7*g2*g3) + t^7.05/(g1^7*g3^7) + t^7.05/(g1^10*g2*g3^4) + t^7.05/(g1^13*g2^2*g3) + (g3^15*t^7.45)/g1^3 + (g1^15*t^7.46)/g3^3 + (g3^12*t^7.47)/g1^6 + (2*g1^9*t^7.48)/(g2*g3^3) - g2^2*g3^6*t^7.48 + (2*g2*g3^9*t^7.48)/g1^3 + t^7.5/g2^3 - (g1^6*t^7.5)/(g2*g3^6) + (2*g1^3*t^7.5)/(g2^2*g3^3) + (2*g2^2*g3^3*t^7.5)/g1^3 + t^7.52/(g1^3*g2^3*g3^3) + (g2^3*t^7.53)/(g1^3*g3^3) + (g1^7*g3^13*t^7.92)/g2 + 3*g1^10*g3^10*t^7.93 + (g1*g3^13*t^7.94)/g2^2 + 3*g1^10*g2*g3^4*t^7.95 + (4*g1^4*g3^10*t^7.95)/g2 + (3*g3^10*t^7.96)/(g1^2*g2^2) + (g3^13*t^7.96)/(g1^5*g2^3) + 6*g1^4*g3^4*t^7.97 + (g1*g3^7*t^7.97)/g2 + (2*g1^10*g2^2*t^7.98)/g3^2 + 2*g1*g3*t^7.99 + (4*g3^4*t^7.99)/(g1^2*g2) + (g3^7*t^7.99)/(g1^5*g2^2) + (g1^4*g2*t^8.)/g3^2 - (2*t^8.01)/(g1^2*g3^2) + (2*g3^4*t^8.01)/(g1^8*g2^2) + (g3^7*t^8.01)/(g1^11*g2^3) + (2*g1*g2*t^8.02)/g3^5 - (2*g2*t^8.04)/(g1^2*g3^8) + (2*t^8.04)/(g1^5*g3^5) + t^8.05/(g1^14*g2^2*g3^2) + (g3*t^8.05)/(g1^17*g2^3) + (g3^4*t^8.05)/(g1^20*g2^4) + (2*t^8.06)/(g1^8*g3^8) + (2*t^8.06)/(g1^11*g2*g3^5) + (g1^17*g3^5*t^8.42)/g2 + g1^5*g2*g3^17*t^8.42 + (g1^17*t^8.44)/g3 + (2*g1^11*g3^5*t^8.44)/g2^2 + 2*g1^5*g2^2*g3^11*t^8.44 + (g3^17*t^8.44)/g1 + (g1^11*t^8.46)/(g2*g3) + (g1^5*g3^5*t^8.46)/g2^3 + (g2*g3^11*t^8.46)/g1 + g1^5*g2^3*g3^5*t^8.47 + (2*g2*g3^8*t^8.48)/g1^4 - (g1^11*t^8.49)/g3^7 + (2*g1^8*t^8.49)/(g2*g3^4) - (g2^2*g3^5*t^8.49)/g1 - (2*g1^5*t^8.51)/(g2*g3^7) + (2*g1^2*t^8.51)/(g2^2*g3^4) - (g2^3*t^8.51)/(g1*g3) + (2*g2^2*g3^2*t^8.51)/g1^4 - (g2*g3^5*t^8.51)/g1^7 - t^8.53/(g1*g2^2*g3^7) - (g2^2*t^8.53)/(g1^7*g3) + g1^18*g3^18*t^8.87 + g1^18*g2*g3^12*t^8.89 + (g1^12*g3^18*t^8.89)/g2 + 2*g1^12*g3^12*t^8.91 + (g1^6*g3^18*t^8.91)/g2^2 + g1^18*g2^2*g3^6*t^8.92 + 3*g1^9*g3^9*t^8.93 + (2*g1^6*g3^12*t^8.93)/g2 + (g3^18*t^8.93)/g2^3 + g1^18*g2^3*t^8.94 + g1^12*g2*g3^6*t^8.94 + (5*g1^3*g3^9*t^8.95)/g2 + (2*g3^12*t^8.95)/g2^2 + 3*g1^9*g2*g3^3*t^8.96 - 4*g1^6*g3^6*t^8.96 + (3*g3^9*t^8.97)/(g1^3*g2^2) + (g3^12*t^8.97)/(g1^6*g2^3) - 6*g1^6*g2*t^8.98 + (g1^9*g2^2*t^8.98)/g3^3 + 7*g1^3*g3^3*t^8.98 - (3*g3^6*t^8.98)/g2 + (2*g3^6*t^8.99)/(g1^6*g2^2) + (g3^9*t^8.99)/(g1^9*g2^3) - t^4.01/(g1*g3*y) - t^5.01/(g1^2*g3^2*y) - t^6.02/(g1^6*g2*y) - t^6.02/(g1^3*g3^3*y) - (g1^5*g3^5*t^6.96)/y - (g3^5*t^6.98)/(g1*g2*y) - (g1^5*g2*t^6.99)/(g3*y) - t^7.01/(g1*g3*y) - (2*t^7.03)/(g1^4*g3^4*y) + (g1*g3^7*t^7.97)/(g2*y) + (2*g1*g3*t^7.99)/y + (g3^7*t^7.99)/(g1^5*g2^2*y) + (g1^4*g2*t^8.)/(g3^2*y) + (g3*t^8.01)/(g1^5*g2*y) - (g3*t^8.03)/(g1^11*g2^2*y) - t^8.04/(g1^5*g3^5*y) + (g1^6*g3^12*t^8.93)/(g2*y) + (g1^12*g2*g3^6*t^8.94)/y + (2*g1^6*g3^6*t^8.96)/y + (g1^6*g2*t^8.98)/y + (g3^6*t^8.98)/(g2*y) - (t^4.01*y)/(g1*g3) - (t^5.01*y)/(g1^2*g3^2) - (t^6.02*y)/(g1^6*g2) - (t^6.02*y)/(g1^3*g3^3) - g1^5*g3^5*t^6.96*y - (g3^5*t^6.98*y)/(g1*g2) - (g1^5*g2*t^6.99*y)/g3 - (t^7.01*y)/(g1*g3) - (2*t^7.03*y)/(g1^4*g3^4) + (g1*g3^7*t^7.97*y)/g2 + 2*g1*g3*t^7.99*y + (g3^7*t^7.99*y)/(g1^5*g2^2) + (g1^4*g2*t^8.*y)/g3^2 + (g3*t^8.01*y)/(g1^5*g2) - (g3*t^8.03*y)/(g1^11*g2^2) - (t^8.04*y)/(g1^5*g3^5) + (g1^6*g3^12*t^8.93*y)/g2 + g1^12*g2*g3^6*t^8.94*y + 2*g1^6*g3^6*t^8.96*y + g1^6*g2*t^8.98*y + (g3^6*t^8.98*y)/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


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
47873 SU3adj1nf2 $q_1^2\tilde{q}_1^2$ 1.4741 1.6841 0.8753 [X:[], M:[], q:[0.5, 0.4923], qb:[0.5, 0.4923], phi:[0.3359]] t^2.02 + t^2.95 + 2*t^2.98 + t^3. + t^3.02 + t^3.96 + 2*t^3.98 + t^4.01 + t^4.03 + 2*t^4.97 + 4*t^4.99 + 2*t^5.02 + t^5.04 + 2*t^5.46 + 2*t^5.48 + t^5.91 + 2*t^5.93 + 4*t^5.95 + 2*t^5.98 + t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y detail