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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
45117 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_2$ + $ q_1^3q_2$ 1.8388 1.987 0.9254 [X:[], M:[0.7998, 0.6859, 0.8573], q:[0.5144, 0.4568], qb:[], phi:[0.3429]] [X:[], M:[[7], [-4], [-5]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_2^2$, $ q_1q_2$, $ q_1^2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_1M_2$, $ M_1\phi_1^2$, $ M_2M_3$, $ M_3\phi_1^2$, $ M_1^2$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ M_1M_3$, $ M_2q_1q_2$, $ \phi_1^2q_1q_2$, $ M_3^2$, $ M_2q_1^2$, $ \phi_1^2q_1^2$, $ M_1q_2^2$, $ M_1q_1q_2$, $ M_3q_2^2$, $ q_2^4$, $ M_1q_1^2$, $ M_3q_1q_2$, $ q_1q_2^3$, $ M_3q_1^2$, $ q_1^2q_2^2$ $\phi_1^3q_1q_2$ 0 2*t^2.06 + t^2.4 + t^2.57 + t^2.74 + t^2.91 + t^3.09 + 4*t^4.12 + 2*t^4.46 + 2*t^4.63 + 4*t^4.8 + 4*t^4.97 + 5*t^5.14 + 2*t^5.31 + t^5.48 + 2*t^5.49 + t^5.65 + t^5.66 + t^5.83 + 6*t^6.17 + 3*t^6.51 + 3*t^6.69 + 7*t^6.86 + 7*t^7.03 + 11*t^7.2 + 7*t^7.37 + 11*t^7.54 + 6*t^7.71 + 4*t^7.72 + 7*t^7.88 + 2*t^8.05 + 3*t^8.06 + t^8.22 + 12*t^8.23 + t^8.4 + 4*t^8.57 + 3*t^8.74 + 8*t^8.91 - t^4.03/y - t^5.4/y - t^5.57/y - (3*t^6.09)/y - t^6.43/y - t^6.6/y - t^6.77/y - t^6.94/y + t^7.8/y + (2*t^7.97)/y - (5*t^8.14)/y - (2*t^8.49)/y + t^8.65/y - (2*t^8.66)/y - (3*t^8.83)/y - t^4.03*y - t^5.4*y - t^5.57*y - 3*t^6.09*y - t^6.43*y - t^6.6*y - t^6.77*y - t^6.94*y + t^7.8*y + 2*t^7.97*y - 5*t^8.14*y - 2*t^8.49*y + t^8.65*y - 2*t^8.66*y - 3*t^8.83*y (2*t^2.06)/g1^4 + g1^7*t^2.4 + t^2.57/g1^5 + g1^18*t^2.74 + g1^6*t^2.91 + t^3.09/g1^6 + (4*t^4.12)/g1^8 + 2*g1^3*t^4.46 + (2*t^4.63)/g1^9 + 4*g1^14*t^4.8 + 4*g1^2*t^4.97 + (4*t^5.14)/g1^10 + g1^25*t^5.14 + 2*g1^13*t^5.31 + g1^36*t^5.48 + 2*g1*t^5.49 + g1^24*t^5.65 + t^5.66/g1^11 + g1^12*t^5.83 + (6*t^6.17)/g1^12 + (3*t^6.51)/g1 + (3*t^6.69)/g1^13 + 7*g1^10*t^6.86 + (7*t^7.03)/g1^2 + (7*t^7.2)/g1^14 + 4*g1^21*t^7.2 + 7*g1^9*t^7.37 + (7*t^7.54)/g1^3 + 4*g1^32*t^7.54 + 6*g1^20*t^7.71 + (4*t^7.72)/g1^15 + 6*g1^8*t^7.88 + g1^43*t^7.88 + 2*g1^31*t^8.05 + (3*t^8.06)/g1^4 + g1^54*t^8.22 + (10*t^8.23)/g1^16 + 2*g1^19*t^8.23 + g1^42*t^8.4 + (3*t^8.57)/g1^5 + g1^30*t^8.57 + (4*t^8.74)/g1^17 - g1^18*t^8.74 + 8*g1^6*t^8.91 - t^4.03/(g1^2*y) - (g1^7*t^5.4)/y - t^5.57/(g1^5*y) - (3*t^6.09)/(g1^6*y) - (g1^5*t^6.43)/y - t^6.6/(g1^7*y) - (g1^16*t^6.77)/y - (g1^4*t^6.94)/y + (g1^14*t^7.8)/y + (2*g1^2*t^7.97)/y - (5*t^8.14)/(g1^10*y) - (2*g1*t^8.49)/y + (g1^24*t^8.65)/y - (2*t^8.66)/(g1^11*y) - (3*g1^12*t^8.83)/y - (t^4.03*y)/g1^2 - g1^7*t^5.4*y - (t^5.57*y)/g1^5 - (3*t^6.09*y)/g1^6 - g1^5*t^6.43*y - (t^6.6*y)/g1^7 - g1^16*t^6.77*y - g1^4*t^6.94*y + g1^14*t^7.8*y + 2*g1^2*t^7.97*y - (5*t^8.14*y)/g1^10 - 2*g1*t^8.49*y + g1^24*t^8.65*y - (2*t^8.66*y)/g1^11 - 3*g1^12*t^8.83*y


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
45323 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_2$ + $ q_1^3q_2$ + $ M_3q_1^2$ 1.8117 1.9652 0.9219 [X:[], M:[0.7273, 0.7273, 0.9091], q:[0.5455, 0.3636], qb:[], phi:[0.3636]] 4*t^2.18 + 2*t^2.73 + t^3.27 + 12*t^4.36 + 9*t^4.91 + 7*t^5.45 + t^6. - t^4.09/y - t^5.18/y - t^5.73/y - t^4.09*y - t^5.18*y - t^5.73*y detail {a: 38583/21296, c: 20925/10648, M1: 8/11, M2: 8/11, M3: 10/11, q1: 6/11, q2: 4/11, phi1: 4/11}
45318 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_2$ + $ q_1^3q_2$ + $ M_4q_1q_2$ 1.8364 1.9827 0.9262 [X:[], M:[0.8079, 0.6812, 0.8515, 1.0218], q:[0.5109, 0.4673], qb:[], phi:[0.3406]] 2*t^2.04 + t^2.42 + t^2.55 + t^2.8 + 2*t^3.07 + 4*t^4.09 + 2*t^4.47 + 2*t^4.6 + 4*t^4.85 + 2*t^4.98 + 6*t^5.11 + t^5.23 + t^5.36 + 2*t^5.49 + t^5.61 + 2*t^5.62 + t^5.87 - t^6. - t^4.02/y - t^5.42/y - t^5.55/y - t^4.02*y - t^5.42*y - t^5.55*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
45006 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_2$ 1.8525 2.0069 0.9231 [X:[], M:[0.8163, 0.7347, 0.8163], q:[0.449, 0.449], qb:[], phi:[0.3673]] 2*t^2.2 + 2*t^2.45 + 3*t^2.69 + 4*t^4.41 + 4*t^4.65 + 12*t^4.9 + 6*t^5.14 + 6*t^5.39 - 3*t^6. - t^4.1/y - (2*t^5.45)/y - t^4.1*y - 2*t^5.45*y detail