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$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

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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
55656 SU2adj1nf3 $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ q_2q_3$ 0.665 0.79 0.8418 [X:[], M:[], q:[0.4, 1.2, 0.8], qb:[0.6667, 0.6667, 0.6667], phi:[0.4]] [X:[], M:[], q:[[3, 3, 3], [-1, -1, -1], [1, 1, 1]], qb:[[5, 0, 0], [0, 5, 0], [0, 0, 5]], phi:[[-2, -2, -2]]] 3 {a: 133/200, c: 79/100, q1: 2/5, q2: 6/5, q3: 4/5, qb1: 2/3, qb2: 2/3, qb3: 2/3, phi1: 2/5}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ q_1\tilde{q}_1$, $ q_1q_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_3\tilde{q}_1$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_1$ . -9 t^2.4 + 3*t^3.2 + t^3.6 + 3*t^4. + 3*t^4.4 + t^4.8 + 3*t^5.2 + 3*t^5.6 - 9*t^6. + 6*t^6.4 + 3*t^6.8 + 12*t^7.6 + 12*t^8. + 6*t^8.8 - t^4.2/y - t^6.6/y + t^7.8/y + (3*t^8.6)/y - t^4.2*y - t^6.6*y + t^7.8*y + 3*t^8.6*y t^2.4/(g1^4*g2^4*g3^4) + g1^8*g2^3*g3^3*t^3.2 + g1^3*g2^8*g3^3*t^3.2 + g1^3*g2^3*g3^8*t^3.2 + g1^4*g2^4*g3^4*t^3.6 + g1^5*g2^5*t^4. + g1^5*g3^5*t^4. + g2^5*g3^5*t^4. + g1^6*g2*g3*t^4.4 + g1*g2^6*g3*t^4.4 + g1*g2*g3^6*t^4.4 + t^4.8/(g1^8*g2^8*g3^8) + (g1^8*t^5.2)/(g2^2*g3^2) + (g2^8*t^5.2)/(g1^2*g3^2) + (g3^8*t^5.2)/(g1^2*g2^2) + (g1^4*t^5.6)/(g2*g3) + (g2^4*t^5.6)/(g1*g3) + (g3^4*t^5.6)/(g1*g2) - 3*t^6. - (g1^5*t^6.)/g2^5 - (g2^5*t^6.)/g1^5 - (g1^5*t^6.)/g3^5 - (g2^5*t^6.)/g3^5 - (g3^5*t^6.)/g1^5 - (g3^5*t^6.)/g2^5 + g1^16*g2^6*g3^6*t^6.4 + g1^11*g2^11*g3^6*t^6.4 + g1^6*g2^16*g3^6*t^6.4 + g1^11*g2^6*g3^11*t^6.4 + g1^6*g2^11*g3^11*t^6.4 + g1^6*g2^6*g3^16*t^6.4 + g1^12*g2^7*g3^7*t^6.8 + g1^7*g2^12*g3^7*t^6.8 + g1^7*g2^7*g3^12*t^6.8 + t^7.2/(g1^12*g2^12*g3^12) - (g1^3*t^7.2)/(g2^2*g3^7) - (g2^3*t^7.2)/(g1^2*g3^7) - (g1^3*t^7.2)/(g2^7*g3^2) - (3*t^7.2)/(g1^2*g2^2*g3^2) - (g2^3*t^7.2)/(g1^7*g3^2) - (g3^3*t^7.2)/(g1^2*g2^7) - (g3^3*t^7.2)/(g1^7*g2^2) + g1^13*g2^8*g3^3*t^7.2 + g1^8*g2^13*g3^3*t^7.2 + g1^13*g2^3*g3^8*t^7.2 + 2*g1^8*g2^8*g3^8*t^7.2 + g1^3*g2^13*g3^8*t^7.2 + g1^8*g2^3*g3^13*t^7.2 + g1^3*g2^8*g3^13*t^7.2 + (g1^4*t^7.6)/(g2^6*g3^6) + (g2^4*t^7.6)/(g1^6*g3^6) + (g3^4*t^7.6)/(g1^6*g2^6) + g1^14*g2^4*g3^4*t^7.6 + 2*g1^9*g2^9*g3^4*t^7.6 + g1^4*g2^14*g3^4*t^7.6 + 2*g1^9*g2^4*g3^9*t^7.6 + 2*g1^4*g2^9*g3^9*t^7.6 + g1^4*g2^4*g3^14*t^7.6 + t^8./g1^10 + t^8./g2^10 + t^8./(g1^5*g2^5) + g1^10*g2^10*t^8. + t^8./g3^10 + t^8./(g1^5*g3^5) + t^8./(g2^5*g3^5) + g1^10*g2^5*g3^5*t^8. + g1^5*g2^10*g3^5*t^8. + g1^10*g3^10*t^8. + g1^5*g2^5*g3^10*t^8. + g2^10*g3^10*t^8. - (g1*t^8.4)/(g2^4*g3^9) - (g2*t^8.4)/(g1^4*g3^9) - (g1*t^8.4)/(g2^9*g3^4) - (3*t^8.4)/(g1^4*g2^4*g3^4) - (g2*t^8.4)/(g1^9*g3^4) - (g3*t^8.4)/(g1^4*g2^9) - (g3*t^8.4)/(g1^9*g2^4) + g1^16*g2*g3*t^8.4 + g1^11*g2^6*g3*t^8.4 + g1^6*g2^11*g3*t^8.4 + g1*g2^16*g3*t^8.4 + g1^11*g2*g3^6*t^8.4 + g1*g2^11*g3^6*t^8.4 + g1^6*g2*g3^11*t^8.4 + g1*g2^6*g3^11*t^8.4 + g1*g2*g3^16*t^8.4 + t^8.8/(g1^3*g2^3*g3^8) + t^8.8/(g1^3*g2^8*g3^3) + t^8.8/(g1^8*g2^3*g3^3) + g1^12*g2^2*g3^2*t^8.8 + g1^2*g2^12*g3^2*t^8.8 + g1^2*g2^2*g3^12*t^8.8 - t^4.2/(g1^2*g2^2*g3^2*y) - t^6.6/(g1^6*g2^6*g3^6*y) + (g1^2*g2^2*g3^2*t^7.8)/y + (g1^4*t^8.6)/(g2*g3*y) + (g2^4*t^8.6)/(g1*g3*y) + (g3^4*t^8.6)/(g1*g2*y) - (t^4.2*y)/(g1^2*g2^2*g3^2) - (t^6.6*y)/(g1^6*g2^6*g3^6) + g1^2*g2^2*g3^2*t^7.8*y + (g1^4*t^8.6*y)/(g2*g3) + (g2^4*t^8.6*y)/(g1*g3) + (g3^4*t^8.6*y)/(g1*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
55817 $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ q_2q_3$ + $ M_1q_1q_3$ 0.6821 0.8176 0.8343 [X:[], M:[0.7788], q:[0.4159, 1.1947, 0.8053], qb:[0.6755, 0.6755, 0.6755], phi:[0.3894]] 2*t^2.34 + 3*t^3.27 + 3*t^4.05 + 3*t^4.44 + 3*t^4.67 + 3*t^5.22 + 6*t^5.61 - 10*t^6. - t^4.17/y - t^4.17*y detail
55791 $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ q_2q_3$ + $ \phi_1^4$ 0.6133 0.7695 0.797 [X:[], M:[], q:[0.25, 1.25, 0.75], qb:[0.5833, 0.5833, 0.5833], phi:[0.5]] 3*t^2.5 + 2*t^3. + 3*t^3.5 + 3*t^4. + 9*t^5. + 6*t^5.5 - t^4.5/y - t^4.5*y detail {a: 157/256, c: 197/256, q1: 1/4, q2: 5/4, q3: 3/4, qb1: 7/12, qb2: 7/12, qb3: 7/12, phi1: 1/2}
55795 $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ q_2q_3$ + $ q_3\tilde{q}_1$ + $ \phi_1^2X_1$ 0.5241 0.5971 0.8778 [X:[1.3807], M:[], q:[0.5355, 1.1548, 0.8452], qb:[1.1548, 0.5355, 0.5355], phi:[0.3096]] 3*t^3.21 + 4*t^4.14 + t^5.07 - 7*t^6. - t^3.93/y - t^3.93*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
55446 SU2adj1nf3 $\phi_1q_1q_2$ + $ \phi_1q_3^2$ 0.8279 0.9949 0.8321 [X:[], M:[], q:[0.7328, 0.7328, 0.7328], qb:[0.5547, 0.5547, 0.5547], phi:[0.5344]] t^3.21 + 3*t^3.33 + 9*t^3.86 + 3*t^4.4 + 6*t^4.93 - 12*t^6. - t^4.6/y - t^4.6*y detail