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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
45025 SO5adj1nf2 $M_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_2$ 1.8298 1.9668 0.9304 [X:[], M:[1.0494, 0.7162, 0.8334], q:[0.4753, 0.4504], qb:[], phi:[0.3581]] [X:[], M:[[-6, 0], [-2, -2], [2, -1]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ \phi_1^2$, $ M_3$, $ q_2^2$, $ q_1q_2$, $ M_1$, $ \phi_1^2q_1$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_2M_3$, $ M_3\phi_1^2$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ M_2q_1q_2$, $ \phi_1^2q_1q_2$, $ M_3^2$, $ \phi_1^2q_1^2$, $ M_3q_2^2$, $ M_3q_1q_2$, $ M_1M_2$, $ M_1\phi_1^2$, $ q_2^4$, $ q_1q_2^3$, $ q_1^2q_2^2$, $ M_1M_3$, $ M_2\phi_1^2q_1$, $ \phi_1^4q_1$, $ M_1q_2^2$ $\phi_1^3q_1q_2$ -1 2*t^2.15 + t^2.5 + t^2.7 + t^2.78 + t^3.15 + t^3.57 + 4*t^4.3 + 2*t^4.65 + 3*t^4.85 + 3*t^4.93 + 2*t^5. + t^5.2 + t^5.28 + 2*t^5.3 + t^5.4 + t^5.48 + t^5.55 + t^5.65 + 2*t^5.72 + t^5.85 - t^6. + t^6.28 + t^6.3 + t^6.35 + 6*t^6.45 + 3*t^6.8 + 5*t^7. + 5*t^7.07 + 4*t^7.15 + 3*t^7.35 + 3*t^7.43 + 4*t^7.45 + 2*t^7.5 + 3*t^7.55 + 4*t^7.63 + 4*t^7.7 + 2*t^7.78 + 2*t^7.8 + 4*t^7.87 + t^7.9 + t^7.98 + 3*t^8. + t^8.05 + t^8.11 - t^8.15 + t^8.18 - t^8.22 + t^8.26 + t^8.33 + t^8.35 + 2*t^8.43 + 2*t^8.44 + t^8.5 + t^8.55 + t^8.58 + 9*t^8.59 - 2*t^8.7 - 2*t^8.78 + t^8.8 - t^8.85 + 4*t^8.95 + t^8.98 - t^4.07/y - t^5.43/y - t^5.5/y - (3*t^6.22)/y - t^6.57/y - t^6.78/y - t^6.85/y - t^7.22/y + t^7.3/y - (2*t^7.57)/y - t^7.65/y + (2*t^7.85)/y + (2*t^7.93)/y - t^8./y - t^8.13/y - t^8.2/y + (2*t^8.3)/y - (6*t^8.37)/y + t^8.48/y - t^8.57/y + t^8.65/y + t^8.85/y - (2*t^8.93)/y - t^4.07*y - t^5.43*y - t^5.5*y - 3*t^6.22*y - t^6.57*y - t^6.78*y - t^6.85*y - t^7.22*y + t^7.3*y - 2*t^7.57*y - t^7.65*y + 2*t^7.85*y + 2*t^7.93*y - t^8.*y - t^8.13*y - t^8.2*y + 2*t^8.3*y - 6*t^8.37*y + t^8.48*y - t^8.57*y + t^8.65*y + t^8.85*y - 2*t^8.93*y (2*t^2.15)/(g1^2*g2^2) + (g1^2*t^2.5)/g2 + g2^6*t^2.7 + g1^3*g2^3*t^2.78 + t^3.15/g1^6 + (g1*t^3.57)/g2^2 + (4*t^4.3)/(g1^4*g2^4) + (2*t^4.65)/g2^3 + (3*g2^4*t^4.85)/g1^2 + 3*g1*g2*t^4.93 + (2*g1^4*t^5.)/g2^2 + g1^2*g2^5*t^5.2 + g1^5*g2^2*t^5.28 + (2*t^5.3)/(g1^8*g2^2) + g2^12*t^5.4 + g1^3*g2^9*t^5.48 + g1^6*g2^6*t^5.55 + t^5.65/(g1^4*g2) + (2*t^5.72)/(g1*g2^4) + (g2^6*t^5.85)/g1^6 - t^6. + g1*g2^4*t^6.28 + t^6.3/g1^12 + g1^4*g2*t^6.35 + (6*t^6.45)/(g1^6*g2^6) + (3*t^6.8)/(g1^2*g2^5) + (5*g2^2*t^7.)/g1^4 + (5*t^7.07)/(g1*g2) + (4*g1^2*t^7.15)/g2^4 + 3*g2^3*t^7.35 + 3*g1^3*t^7.43 + (4*t^7.45)/(g1^10*g2^4) + (2*g1^6*t^7.5)/g2^3 + (3*g2^10*t^7.55)/g1^2 + 4*g1*g2^7*t^7.63 + 4*g1^4*g2^4*t^7.7 + 2*g1^7*g2*t^7.78 + (2*t^7.8)/(g1^6*g2^3) + (4*t^7.87)/(g1^3*g2^6) + g1^2*g2^11*t^7.9 + g1^5*g2^8*t^7.98 + (3*g2^4*t^8.)/g1^8 + g1^8*g2^5*t^8.05 + g2^18*t^8.11 - t^8.15/(g1^2*g2^2) + g1^3*g2^15*t^8.18 - (g1*t^8.22)/g2^5 + g1^6*g2^12*t^8.26 + g1^9*g2^9*t^8.33 + (g2^5*t^8.35)/g1^4 + (2*g2^2*t^8.43)/g1 + (2*t^8.44)/(g1^14*g2^2) + (g1^2*t^8.5)/g2 + (g2^12*t^8.55)/g1^6 + (g1^5*t^8.58)/g2^4 + (9*t^8.59)/(g1^8*g2^8) - 2*g2^6*t^8.7 - 2*g1^3*g2^3*t^8.78 + t^8.8/(g1^10*g2) - g1^6*t^8.85 + (4*t^8.95)/(g1^4*g2^7) + g1*g2^10*t^8.98 - t^4.07/(g1*g2*y) - (g2^2*t^5.43)/(g1*y) - (g1^2*t^5.5)/(g2*y) - (3*t^6.22)/(g1^3*g2^3*y) - (g1*t^6.57)/(g2^2*y) - (g2^5*t^6.78)/(g1*y) - (g1^2*g2^2*t^6.85)/y - t^7.22/(g1^7*g2*y) + t^7.3/(g1^4*g2^4*y) - (2*t^7.57)/(g1^3*y) - t^7.65/(g2^3*y) + (2*g2^4*t^7.85)/(g1^2*y) + (2*g1*g2*t^7.93)/y - (g1^4*t^8.)/(g2^2*y) - (g2^8*t^8.13)/(g1*y) - (g1^2*g2^5*t^8.2)/y + (2*t^8.3)/(g1^8*g2^2*y) - (6*t^8.37)/(g1^5*g2^5*y) + (g1^3*g2^9*t^8.48)/y - (g2^2*t^8.57)/(g1^7*y) + t^8.65/(g1^4*g2*y) + (g2^6*t^8.85)/(g1^6*y) - (2*g2^3*t^8.93)/(g1^3*y) - (t^4.07*y)/(g1*g2) - (g2^2*t^5.43*y)/g1 - (g1^2*t^5.5*y)/g2 - (3*t^6.22*y)/(g1^3*g2^3) - (g1*t^6.57*y)/g2^2 - (g2^5*t^6.78*y)/g1 - g1^2*g2^2*t^6.85*y - (t^7.22*y)/(g1^7*g2) + (t^7.3*y)/(g1^4*g2^4) - (2*t^7.57*y)/g1^3 - (t^7.65*y)/g2^3 + (2*g2^4*t^7.85*y)/g1^2 + 2*g1*g2*t^7.93*y - (g1^4*t^8.*y)/g2^2 - (g2^8*t^8.13*y)/g1 - g1^2*g2^5*t^8.2*y + (2*t^8.3*y)/(g1^8*g2^2) - (6*t^8.37*y)/(g1^5*g2^5) + g1^3*g2^9*t^8.48*y - (g2^2*t^8.57*y)/g1^7 + (t^8.65*y)/(g1^4*g2) + (g2^6*t^8.85*y)/g1^6 - (2*g2^3*t^8.93*y)/g1^3


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
45215 $M_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_2$ + $ q_2^4$ 1.8229 1.9575 0.9312 [X:[], M:[1.0735, 0.6912, 0.8088], q:[0.4632, 0.5], qb:[], phi:[0.3456]] 2*t^2.07 + t^2.43 + t^2.89 + t^3. + t^3.22 + t^3.46 + 4*t^4.15 + 2*t^4.5 + 2*t^4.85 + 3*t^4.96 + 3*t^5.07 + 2*t^5.29 + t^5.32 + t^5.43 + 2*t^5.54 + t^5.65 + t^5.78 + t^5.89 - t^4.04/y - t^5.43/y - t^5.54/y - t^4.04*y - t^5.43*y - t^5.54*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
44938 SO5adj1nf2 $M_1q_1^2$ + $ M_2\phi_1q_1q_2$ 1.8158 1.9434 0.9344 [X:[], M:[1.0293, 0.7136], q:[0.4854, 0.4442], qb:[], phi:[0.3568]] 2*t^2.14 + t^2.67 + t^2.79 + t^3.09 + t^3.47 + t^3.6 + 4*t^4.28 + 3*t^4.81 + 3*t^4.93 + t^5.05 + 2*t^5.23 + t^5.33 + t^5.45 + t^5.58 + 2*t^5.61 + 2*t^5.74 + t^5.75 - t^6. - t^4.07/y - t^5.4/y - t^5.53/y - t^4.07*y - t^5.4*y - t^5.53*y detail