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$a$ =

$c$ =

$\leq a \leq$

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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
55749 SU2adj1nf3 $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ q_2\tilde{q}_1$ + $ \phi_1^2\tilde{q}_2\tilde{q}_3$ 0.6515 0.7734 0.8425 [X:[], M:[], q:[0.4152, 1.1949, 0.8051], qb:[0.8051, 0.6101, 0.6101], phi:[0.3899]] [X:[], M:[], q:[[3, 3], [-1, -1], [1, 1]], qb:[[1, 1], [4, 0], [0, 4]], phi:[[-2, -2]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ q_1\tilde{q}_2$, $ q_1q_3$, $ q_1\tilde{q}_1$, $ \tilde{q}_2\tilde{q}_3$, $ q_3\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1\tilde{q}_2^2$, $ q_3\tilde{q}_1$, $ \phi_1\tilde{q}_2\tilde{q}_3$ $\phi_1\tilde{q}_1^2$ -3 t^2.34 + 2*t^3.08 + 3*t^3.66 + 4*t^4.25 + t^4.68 + 3*t^4.83 - 3*t^6. + 3*t^6.15 - 4*t^6.58 + 6*t^6.74 + t^7.02 - 2*t^7.17 + 11*t^7.32 - 2*t^7.75 + 12*t^7.91 + 7*t^8.49 - t^4.17/y - t^6.51/y + t^7.83/y + (2*t^8.42)/y - t^8.85/y - t^4.17*y - t^6.51*y + t^7.83*y + 2*t^8.42*y - t^8.85*y t^2.34/(g1^4*g2^4) + g1^7*g2^3*t^3.08 + g1^3*g2^7*t^3.08 + 3*g1^4*g2^4*t^3.66 + 2*g1^5*g2*t^4.25 + 2*g1*g2^5*t^4.25 + t^4.68/(g1^8*g2^8) + (g1^6*t^4.83)/g2^2 + g1^2*g2^2*t^4.83 + (g2^6*t^4.83)/g1^2 - t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 + g1^14*g2^6*t^6.15 + g1^10*g2^10*t^6.15 + g1^6*g2^14*t^6.15 - (2*g1*t^6.58)/g2^3 - (2*g2*t^6.58)/g1^3 + 3*g1^11*g2^7*t^6.74 + 3*g1^7*g2^11*t^6.74 + t^7.02/(g1^12*g2^12) - (2*t^7.17)/(g1^2*g2^2) + 2*g1^12*g2^4*t^7.32 + 7*g1^8*g2^8*t^7.32 + 2*g1^4*g2^12*t^7.32 - t^7.75/(g1*g2^5) - t^7.75/(g1^5*g2) + g1^13*g2*t^7.91 + 5*g1^9*g2^5*t^7.91 + 5*g1^5*g2^9*t^7.91 + g1*g2^13*t^7.91 + 3*g1^10*g2^2*t^8.49 + g1^6*g2^6*t^8.49 + 3*g1^2*g2^10*t^8.49 - t^4.17/(g1^2*g2^2*y) - t^6.51/(g1^6*g2^6*y) + (g1^2*g2^2*t^7.83)/y + (g1^3*t^8.42)/(g2*y) + (g2^3*t^8.42)/(g1*y) - t^8.85/(g1^10*g2^10*y) - (t^4.17*y)/(g1^2*g2^2) - (t^6.51*y)/(g1^6*g2^6) + g1^2*g2^2*t^7.83*y + (g1^3*t^8.42*y)/g2 + (g2^3*t^8.42*y)/g1 - (t^8.85*y)/(g1^10*g2^10)


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
44 SU2adj1nf2 $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ 0.6515 0.7734 0.8425 [X:[], M:[], q:[0.8051, 0.4152], qb:[0.6101, 0.6101], phi:[0.3899]] t^2.34 + 2*t^3.08 + 3*t^3.66 + 4*t^4.25 + t^4.68 + 3*t^4.83 - 3*t^6. - t^4.17/y - t^4.17*y detail


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
55675 SU2adj1nf3 $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ q_2\tilde{q}_1$ 0.6732 0.8001 0.8414 [X:[], M:[], q:[0.5261, 1.0677, 0.7969], qb:[0.9323, 0.5261, 0.5261], phi:[0.4062]] t^2.44 + 3*t^3.16 + 3*t^3.97 + 6*t^4.38 + t^4.87 + 3*t^5.59 - 9*t^6. - t^4.22/y - t^4.22*y detail