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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
45023 SO5adj1nf2 $M_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_3q_2^2$ 1.8085 1.9306 0.9367 [X:[], M:[1.0462, 0.6974, 1.0462], q:[0.4769, 0.4769], qb:[], phi:[0.3487]] [X:[], M:[[-6, 0], [-2, -2], [0, -6]], 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$, $ q_1q_2$, $ M_1$, $ M_3$, $ \phi_1^2q_1$, $ \phi_1^2q_2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ M_2q_1q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ M_2M_3$, $ M_3\phi_1^2$, $ M_1M_2$, $ M_1\phi_1^2$, $ M_2\phi_1^2q_1$, $ \phi_1^4q_1$, $ M_2\phi_1^2q_2$, $ \phi_1^4q_2$, $ q_1^2q_2^2$ $M_3q_1q_2$, $ \phi_1^3q_1q_2$ -1 2*t^2.09 + t^2.86 + 2*t^3.14 + 2*t^3.52 + 4*t^4.18 + 5*t^4.95 + 4*t^5.23 + 4*t^5.62 + t^5.72 - t^6. + 9*t^6.28 + 2*t^6.38 + 2*t^6.66 + 10*t^7.05 + 8*t^7.32 + 8*t^7.71 + 4*t^7.82 + t^8.09 + 15*t^8.37 + 8*t^8.48 + t^8.58 + 4*t^8.75 - 4*t^8.86 - t^4.05/y - (2*t^5.48)/y - (3*t^6.14)/y - t^6.91/y - t^7.18/y - (6*t^7.57)/y + (3*t^7.95)/y - (2*t^8.23)/y - (2*t^8.34)/y + (2*t^8.62)/y - t^4.05*y - 2*t^5.48*y - 3*t^6.14*y - t^6.91*y - t^7.18*y - 6*t^7.57*y + 3*t^7.95*y - 2*t^8.23*y - 2*t^8.34*y + 2*t^8.62*y (2*t^2.09)/(g1^2*g2^2) + g1^3*g2^3*t^2.86 + t^3.14/g1^6 + t^3.14/g2^6 + (g1*t^3.52)/g2^2 + (g2*t^3.52)/g1^2 + (4*t^4.18)/(g1^4*g2^4) + (g1^4*t^4.95)/g2^2 + 3*g1*g2*t^4.95 + (g2^4*t^4.95)/g1^2 + (2*t^5.23)/(g1^2*g2^8) + (2*t^5.23)/(g1^8*g2^2) + (2*t^5.62)/(g1*g2^4) + (2*t^5.62)/(g1^4*g2) + g1^6*g2^6*t^5.72 - t^6. + t^6.28/g1^12 + t^6.28/g2^12 + (7*t^6.28)/(g1^6*g2^6) + g1^4*g2*t^6.38 + g1*g2^4*t^6.38 + (g1*t^6.66)/g2^8 + (g2*t^6.66)/g1^8 + (2*g1^2*t^7.05)/g2^4 + (6*t^7.05)/(g1*g2) + (2*g2^2*t^7.05)/g1^4 + (4*t^7.32)/(g1^4*g2^10) + (4*t^7.32)/(g1^10*g2^4) + (4*t^7.71)/(g1^3*g2^6) + (4*t^7.71)/(g1^6*g2^3) + g1^7*g2*t^7.82 + 2*g1^4*g2^4*t^7.82 + g1*g2^7*t^7.82 + (g1^4*t^8.09)/g2^8 - t^8.09/(g1^2*g2^2) + (g2^4*t^8.09)/g1^8 + (2*t^8.37)/(g1^2*g2^14) + (11*t^8.37)/(g1^8*g2^8) + (2*t^8.37)/(g1^14*g2^2) + (g1^5*t^8.48)/g2^4 + (3*g1^2*t^8.48)/g2 + (3*g2^2*t^8.48)/g1 + (g2^5*t^8.48)/g1^4 + g1^9*g2^9*t^8.58 + (2*t^8.75)/(g1*g2^10) + (2*t^8.75)/(g1^10*g2) - g1^6*t^8.86 - 2*g1^3*g2^3*t^8.86 - g2^6*t^8.86 - t^4.05/(g1*g2*y) - (g1^2*t^5.48)/(g2*y) - (g2^2*t^5.48)/(g1*y) - (3*t^6.14)/(g1^3*g2^3*y) - (g1^2*g2^2*t^6.91)/y - t^7.18/(g1*g2^7*y) + t^7.18/(g1^4*g2^4*y) - t^7.18/(g1^7*g2*y) - (3*t^7.57)/(g1^3*y) - (3*t^7.57)/(g2^3*y) + (3*g1*g2*t^7.95)/y + (2*t^8.23)/(g1^2*g2^8*y) - (6*t^8.23)/(g1^5*g2^5*y) + (2*t^8.23)/(g1^8*g2^2*y) - (g1^5*g2^2*t^8.34)/y - (g1^2*g2^5*t^8.34)/y - (g1^2*t^8.62)/(g2^7*y) + (2*t^8.62)/(g1*g2^4*y) + (2*t^8.62)/(g1^4*g2*y) - (g2^2*t^8.62)/(g1^7*y) - (t^4.05*y)/(g1*g2) - (g1^2*t^5.48*y)/g2 - (g2^2*t^5.48*y)/g1 - (3*t^6.14*y)/(g1^3*g2^3) - g1^2*g2^2*t^6.91*y - (t^7.18*y)/(g1*g2^7) + (t^7.18*y)/(g1^4*g2^4) - (t^7.18*y)/(g1^7*g2) - (3*t^7.57*y)/g1^3 - (3*t^7.57*y)/g2^3 + 3*g1*g2*t^7.95*y + (2*t^8.23*y)/(g1^2*g2^8) - (6*t^8.23*y)/(g1^5*g2^5) + (2*t^8.23*y)/(g1^8*g2^2) - g1^5*g2^2*t^8.34*y - g1^2*g2^5*t^8.34*y - (g1^2*t^8.62*y)/g2^7 + (2*t^8.62*y)/(g1*g2^4) + (2*t^8.62*y)/(g1^4*g2) - (g2^2*t^8.62*y)/g1^7


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
45101 $M_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_3q_2^2$ + $ M_4\phi_1^2q_1$ 1.8236 1.9569 0.9319 [X:[], M:[1.0333, 0.6996, 1.0653, 0.8171], q:[0.4833, 0.4673], qb:[], phi:[0.3498]] 2*t^2.1 + t^2.45 + t^2.85 + t^3.1 + t^3.2 + t^3.5 + 4*t^4.2 + 2*t^4.55 + 2*t^4.9 + 3*t^4.95 + t^5. + 2*t^5.2 + 2*t^5.29 + t^5.3 + t^5.55 + 2*t^5.6 + t^5.65 + t^5.7 + t^5.95 - t^6. - t^4.05/y - t^5.45/y - t^5.5/y - t^4.05*y - t^5.45*y - t^5.5*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