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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
45008 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ 1.8259 1.9584 0.9324 [X:[], M:[0.8386, 1.044, 0.8008], q:[0.4402, 0.478], qb:[], phi:[0.3606]] [X:[], M:[[-1, 2], [0, -6], [2, -1]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ M_3$, $ M_1$, $ q_1^2$, $ q_1q_2$, $ M_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_1\phi_1^2$, $ M_3^2$, $ \phi_1^2q_1^2$, $ M_1M_3$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_3q_1^2$, $ M_1q_1^2$, $ M_3q_1q_2$, $ M_1q_1q_2$, $ q_1^4$, $ M_2\phi_1^2$, $ q_1^3q_2$, $ q_1^2q_2^2$, $ M_2M_3$, $ M_1M_2$, $ M_2q_1^2$ $2\phi_1^3q_1q_2$ 0 t^2.16 + t^2.4 + t^2.52 + t^2.64 + t^2.75 + t^3.13 + t^3.84 + 2*t^4.33 + t^4.57 + t^4.68 + 3*t^4.8 + 3*t^4.92 + 2*t^5.03 + t^5.04 + 2*t^5.16 + t^5.27 + t^5.28 + t^5.3 + t^5.4 + t^5.51 + t^5.53 + t^5.65 + t^5.77 - t^6.11 + t^6.24 + t^6.26 + t^6.35 + t^6.48 + 2*t^6.49 + t^6.59 + t^6.73 + t^6.84 + 4*t^6.97 + 3*t^7.08 + t^7.2 + 3*t^7.21 + 5*t^7.32 + 4*t^7.43 + 3*t^7.45 + 2*t^7.46 + 2*t^7.55 + 5*t^7.56 + 5*t^7.67 + t^7.68 + t^7.7 + 2*t^7.79 + 2*t^7.8 + t^7.81 + 2*t^7.91 + t^7.92 + 3*t^7.94 + t^8.02 + t^8.04 + t^8.05 + t^8.15 + 2*t^8.16 + t^8.18 + t^8.26 - 2*t^8.28 + t^8.29 - t^8.4 + t^8.41 + t^8.43 - 2*t^8.52 - t^8.63 + t^8.64 + 3*t^8.65 + t^8.67 + t^8.78 + t^8.88 + t^8.89 + t^8.9 + 2*t^8.99 - t^4.08/y - t^5.4/y - t^5.52/y - (2*t^6.25)/y - t^6.48/y - t^6.6/y - t^6.72/y - t^6.84/y - t^7.21/y - t^8.03/y + t^8.3/y + t^8.4/y - (3*t^8.41)/y - t^8.65/y - t^8.76/y + t^8.77/y - (2*t^8.89)/y - t^4.08*y - t^5.4*y - t^5.52*y - 2*t^6.25*y - t^6.48*y - t^6.6*y - t^6.72*y - t^6.84*y - t^7.21*y - t^8.03*y + t^8.3*y + t^8.4*y - 3*t^8.41*y - t^8.65*y - t^8.76*y + t^8.77*y - 2*t^8.89*y t^2.16/(g1^2*g2^2) + (g1^2*t^2.4)/g2 + (g2^2*t^2.52)/g1 + g1^6*t^2.64 + g1^3*g2^3*t^2.75 + t^3.13/g2^6 + g1^2*g2^2*t^3.84 + (2*t^4.33)/(g1^4*g2^4) + t^4.57/g2^3 + t^4.68/g1^3 + (3*g1^4*t^4.8)/g2^2 + 3*g1*g2*t^4.92 + (2*g2^4*t^5.03)/g1^2 + (g1^8*t^5.04)/g2 + 2*g1^5*g2^2*t^5.16 + g1^2*g2^5*t^5.27 + g1^12*t^5.28 + t^5.3/(g1^2*g2^8) + g1^9*g2^3*t^5.4 + g1^6*g2^6*t^5.51 + (g1^2*t^5.53)/g2^7 + t^5.65/(g1*g2^4) + (g1^6*t^5.77)/g2^6 - (g2^3*t^6.11)/g1^3 + g1^4*g2*t^6.24 + t^6.26/g2^12 + g1*g2^4*t^6.35 + g1^8*g2^2*t^6.48 + (2*t^6.49)/(g1^6*g2^6) + g1^5*g2^5*t^6.59 + t^6.73/(g1^2*g2^5) + t^6.84/(g1^5*g2^2) + (4*g1^2*t^6.97)/g2^4 + (3*t^7.08)/(g1*g2) + (g2^2*t^7.2)/g1^4 + (3*g1^6*t^7.21)/g2^3 + 5*g1^3*t^7.32 + 4*g2^3*t^7.43 + (3*g1^10*t^7.45)/g2^2 + (2*t^7.46)/(g1^4*g2^10) + (2*g2^6*t^7.55)/g1^3 + 5*g1^7*g2*t^7.56 + 5*g1^4*g2^4*t^7.67 + (g1^14*t^7.68)/g2 + t^7.7/g2^9 + 2*g1*g2^7*t^7.79 + 2*g1^11*g2^2*t^7.8 + t^7.81/(g1^3*g2^6) + 2*g1^8*g2^5*t^7.91 + g1^18*t^7.92 + (3*g1^4*t^7.94)/g2^8 + g1^5*g2^8*t^8.02 + g1^15*g2^3*t^8.04 + (g1*t^8.05)/g2^5 + g1^12*g2^6*t^8.15 + (2*t^8.16)/(g1^2*g2^2) + (g1^8*t^8.18)/g2^7 + g1^9*g2^9*t^8.26 - (2*g2*t^8.28)/g1^5 + (g1^5*t^8.29)/g2^4 - (g1^2*t^8.4)/g2 + (g1^12*t^8.41)/g2^6 + t^8.43/(g1^2*g2^14) - (2*g2^2*t^8.52)/g1 - (g2^5*t^8.63)/g1^4 + g1^6*t^8.64 + (3*t^8.65)/(g1^8*g2^8) + (g1^2*t^8.67)/g2^13 + t^8.78/(g1*g2^10) + g1^10*g2*t^8.88 + t^8.89/(g1^4*g2^7) + (g1^6*t^8.9)/g2^12 + 2*g1^7*g2^4*t^8.99 - t^4.08/(g1*g2*y) - (g1^2*t^5.4)/(g2*y) - (g2^2*t^5.52)/(g1*y) - (2*t^6.25)/(g1^3*g2^3*y) - (g1*t^6.48)/(g2^2*y) - (g2*t^6.6)/(g1^2*y) - (g1^5*t^6.72)/(g2*y) - (g1^2*g2^2*t^6.84)/y - t^7.21/(g1*g2^7*y) - (g2^4*t^8.03)/(g1^2*y) + t^8.3/(g1^2*g2^8*y) + (g1^9*g2^3*t^8.4)/y - (3*t^8.41)/(g1^5*g2^5*y) - t^8.65/(g1*g2^4*y) - t^8.76/(g1^4*g2*y) + (g1^6*t^8.77)/(g2^6*y) - (2*g1^3*t^8.89)/(g2^3*y) - (t^4.08*y)/(g1*g2) - (g1^2*t^5.4*y)/g2 - (g2^2*t^5.52*y)/g1 - (2*t^6.25*y)/(g1^3*g2^3) - (g1*t^6.48*y)/g2^2 - (g2*t^6.6*y)/g1^2 - (g1^5*t^6.72*y)/g2 - g1^2*g2^2*t^6.84*y - (t^7.21*y)/(g1*g2^7) - (g2^4*t^8.03*y)/g1^2 + (t^8.3*y)/(g1^2*g2^8) + g1^9*g2^3*t^8.4*y - (3*t^8.41*y)/(g1^5*g2^5) - (t^8.65*y)/(g1*g2^4) - (t^8.76*y)/(g1^4*g2) + (g1^6*t^8.77*y)/g2^6 - (2*g1^3*t^8.89*y)/g2^3


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
45116 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ + $ M_4q_1^2$ 1.8178 1.9428 0.9357 [X:[], M:[0.8239, 1.0564, 0.8239, 1.0564], q:[0.4718, 0.4718], qb:[], phi:[0.3521]] t^2.11 + 2*t^2.47 + t^2.83 + 2*t^3.17 + t^3.89 + 2*t^4.23 + 2*t^4.58 + 7*t^4.94 + 2*t^5.28 + 2*t^5.3 + 4*t^5.64 + t^5.66 - t^4.06/y - (2*t^5.47)/y - t^4.06*y - 2*t^5.47*y detail
45239 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ + $ q_1^3q_2$ 1.8129 1.9374 0.9357 [X:[], M:[0.8244, 1.0228, 0.8397], q:[0.5038, 0.4886], qb:[], phi:[0.3359]] t^2.02 + t^2.47 + t^2.52 + t^2.98 + t^3.02 + t^3.07 + t^3.98 + 2*t^4.03 + t^4.49 + t^4.53 + 2*t^4.95 + 3*t^4.99 + 3*t^5.04 + t^5.08 + t^5.45 + 2*t^5.5 + 2*t^5.54 + t^5.59 + t^6. - t^4.01/y - t^5.47/y - t^5.52/y - t^4.01*y - t^5.47*y - t^5.52*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
44978 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ 1.8097 1.9292 0.9381 [X:[], M:[0.8324, 1.0547], q:[0.448, 0.4726], qb:[], phi:[0.3598]] t^2.16 + t^2.5 + t^2.69 + t^2.76 + t^3.16 + t^3.58 + t^3.84 + 2*t^4.32 + t^4.66 + 2*t^4.85 + 2*t^4.92 + 2*t^4.99 + t^5.19 + t^5.26 + t^5.32 + t^5.38 + t^5.45 + t^5.52 + t^5.66 + t^5.74 + t^5.85 - t^4.08/y - t^5.42/y - t^5.5/y - t^4.08*y - t^5.42*y - t^5.5*y detail