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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
45116 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ 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]] [X:[], M:[[-1, 2], [0, -6], [2, -1], [-6, 0]], 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_1q_2$, $ M_4$, $ M_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_3\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_2\phi_1^2$, $ M_4\phi_1^2$, $ M_3q_1q_2$, $ M_1q_1q_2$, $ M_2M_3$, $ M_1M_2$, $ M_3M_4$, $ M_1M_4$, $ q_1^2q_2^2$ $M_4q_1q_2$, $ 2\phi_1^3q_1q_2$ 0 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 + 5*t^6.34 + 2*t^6.36 + 2*t^6.7 + t^6.72 + 7*t^7.06 + 4*t^7.4 + 12*t^7.42 + 4*t^7.75 + 7*t^7.77 + 10*t^8.11 + 2*t^8.13 + 6*t^8.45 - 2*t^8.47 + t^8.49 + 8*t^8.81 + 3*t^8.83 - t^4.06/y - (2*t^5.47)/y - (2*t^6.17)/y - (2*t^6.53)/y - t^6.89/y - (2*t^7.23)/y - (2*t^7.94)/y - t^8.28/y - (2*t^8.64)/y - t^4.06*y - 2*t^5.47*y - 2*t^6.17*y - 2*t^6.53*y - t^6.89*y - 2*t^7.23*y - 2*t^7.94*y - t^8.28*y - 2*t^8.64*y t^2.11/(g1^2*g2^2) + (g1^2*t^2.47)/g2 + (g2^2*t^2.47)/g1 + g1^3*g2^3*t^2.83 + t^3.17/g1^6 + t^3.17/g2^6 + g1^2*g2^2*t^3.89 + (2*t^4.23)/(g1^4*g2^4) + t^4.58/g1^3 + t^4.58/g2^3 + (2*g1^4*t^4.94)/g2^2 + 3*g1*g2*t^4.94 + (2*g2^4*t^4.94)/g1^2 + t^5.28/(g1^2*g2^8) + t^5.28/(g1^8*g2^2) + g1^5*g2^2*t^5.3 + g1^2*g2^5*t^5.3 + (g1^2*t^5.64)/g2^7 + t^5.64/(g1*g2^4) + t^5.64/(g1^4*g2) + (g2^2*t^5.64)/g1^7 + g1^6*g2^6*t^5.66 + t^6.34/g1^12 + t^6.34/g2^12 + (3*t^6.34)/(g1^6*g2^6) + g1^4*g2*t^6.36 + g1*g2^4*t^6.36 + t^6.7/(g1^2*g2^5) + t^6.7/(g1^5*g2^2) + g1^5*g2^5*t^6.72 + (2*g1^2*t^7.06)/g2^4 + (3*t^7.06)/(g1*g2) + (2*g2^2*t^7.06)/g1^4 + (2*t^7.4)/(g1^4*g2^10) + (2*t^7.4)/(g1^10*g2^4) + 4*g1^3*t^7.42 + (2*g1^6*t^7.42)/g2^3 + 4*g2^3*t^7.42 + (2*g2^6*t^7.42)/g1^3 + t^7.75/g1^9 + t^7.75/g2^9 + t^7.75/(g1^3*g2^6) + t^7.75/(g1^6*g2^3) + 2*g1^7*g2*t^7.77 + 3*g1^4*g2^4*t^7.77 + 2*g1*g2^7*t^7.77 + (2*g1^4*t^8.11)/g2^8 + (g1*t^8.11)/g2^5 + (4*t^8.11)/(g1^2*g2^2) + (g2*t^8.11)/g1^5 + (2*g2^4*t^8.11)/g1^8 + g1^8*g2^5*t^8.13 + g1^5*g2^8*t^8.13 + t^8.45/(g1^2*g2^14) + (4*t^8.45)/(g1^8*g2^8) + t^8.45/(g1^14*g2^2) - (g1^2*t^8.47)/g2 - (g2^2*t^8.47)/g1 + g1^9*g2^9*t^8.49 + (g1^2*t^8.81)/g2^13 + t^8.81/(g1*g2^10) + (2*t^8.81)/(g1^4*g2^7) + (2*t^8.81)/(g1^7*g2^4) + t^8.81/(g1^10*g2) + (g2^2*t^8.81)/g1^13 + g1^6*t^8.83 + g1^3*g2^3*t^8.83 + g2^6*t^8.83 - t^4.06/(g1*g2*y) - (g1^2*t^5.47)/(g2*y) - (g2^2*t^5.47)/(g1*y) - (2*t^6.17)/(g1^3*g2^3*y) - (g1*t^6.53)/(g2^2*y) - (g2*t^6.53)/(g1^2*y) - (g1^2*g2^2*t^6.89)/y - t^7.23/(g1*g2^7*y) - t^7.23/(g1^7*g2*y) - (g1^4*t^7.94)/(g2^2*y) - (g2^4*t^7.94)/(g1^2*y) + t^8.28/(g1^2*g2^8*y) - (3*t^8.28)/(g1^5*g2^5*y) + t^8.28/(g1^8*g2^2*y) - t^8.64/(g1*g2^4*y) - t^8.64/(g1^4*g2*y) - (t^4.06*y)/(g1*g2) - (g1^2*t^5.47*y)/g2 - (g2^2*t^5.47*y)/g1 - (2*t^6.17*y)/(g1^3*g2^3) - (g1*t^6.53*y)/g2^2 - (g2*t^6.53*y)/g1^2 - g1^2*g2^2*t^6.89*y - (t^7.23*y)/(g1*g2^7) - (t^7.23*y)/(g1^7*g2) - (g1^4*t^7.94*y)/g2^2 - (g2^4*t^7.94*y)/g1^2 + (t^8.28*y)/(g1^2*g2^8) - (3*t^8.28*y)/(g1^5*g2^5) + (t^8.28*y)/(g1^8*g2^2) - (t^8.64*y)/(g1*g2^4) - (t^8.64*y)/(g1^4*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
45325 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ + $ M_4q_1^2$ + $ M_5\phi_1q_1q_2$ 1.8382 1.9819 0.9275 [X:[], M:[0.8246, 1.0526, 0.8246, 1.0526, 0.7018], q:[0.4737, 0.4737], qb:[], phi:[0.3509]] 2*t^2.11 + 2*t^2.47 + t^2.84 + 2*t^3.16 + 4*t^4.21 + 4*t^4.58 + 8*t^4.95 + 4*t^5.26 + 2*t^5.32 + 4*t^5.63 + t^5.68 - t^6. - t^4.05/y - (2*t^5.47)/y - t^4.05*y - 2*t^5.47*y detail {a: 31853/17328, c: 17171/8664, M1: 47/57, M2: 20/19, M3: 47/57, M4: 20/19, M5: 40/57, q1: 9/19, q2: 9/19, phi1: 20/57}


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
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]] 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^4.08/y - t^5.4/y - t^5.52/y - t^4.08*y - t^5.4*y - t^5.52*y detail
45066 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ 1.7896 1.8921 0.9458 [X:[], M:[0.8313, 1.0608, 1.2766], q:[0.4452, 0.4696], qb:[], phi:[0.3617]] t^2.49 + t^2.67 + t^2.74 + t^3.18 + t^3.58 + 2*t^3.83 + t^4.34 + t^4.84 + t^4.91 + 2*t^4.99 + t^5.17 + t^5.24 + t^5.34 + t^5.42 + t^5.49 + t^5.68 + t^5.85 - t^6. - t^4.09/y - t^5.42/y - t^5.49/y - t^4.09*y - t^5.42*y - t^5.49*y detail