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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
45206 SO5adj1nf2 $q_1^3q_2$ + $ M_1\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_3\phi_1q_1q_2$ 1.825 1.9626 0.9299 [X:[], M:[0.8588, 0.9694, 0.687], q:[0.5153, 0.4542], qb:[], phi:[0.3435]] [X:[], M:[[-5], [6], [-4]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_3$, $ \phi_1^2$, $ M_1$, $ q_2^2$, $ M_2$, $ q_1q_2$, $ \phi_1^2q_1$, $ M_3^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_1\phi_1^2$, $ M_3q_2^2$, $ \phi_1^2q_2^2$, $ M_2M_3$, $ M_2\phi_1^2$, $ M_3q_1q_2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ \phi_1^2q_1^2$, $ M_1q_2^2$, $ q_2^4$, $ M_1M_2$, $ M_1q_1q_2$, $ M_2q_2^2$, $ q_1q_2^3$, $ M_3\phi_1^2q_1$, $ \phi_1^4q_1$, $ M_2^2$, $ M_2q_1q_2$ $\phi_1^3q_1q_2$ -1 2*t^2.06 + t^2.58 + t^2.72 + 2*t^2.91 + t^3.61 + 4*t^4.12 + 2*t^4.64 + 3*t^4.79 + 5*t^4.97 + 2*t^5.15 + t^5.3 + t^5.45 + 2*t^5.48 + 2*t^5.63 + 2*t^5.67 + 2*t^5.82 - t^6. + 6*t^6.18 + t^6.33 + t^6.52 + 3*t^6.7 + 5*t^6.85 + 9*t^7.03 + 4*t^7.21 + 3*t^7.36 + 3*t^7.51 + 5*t^7.55 + 7*t^7.69 + 6*t^7.73 + 6*t^7.88 + t^8.03 + t^8.06 + t^8.17 + 2*t^8.21 + 8*t^8.24 + 2*t^8.36 + 4*t^8.39 + 2*t^8.54 + t^8.58 + 5*t^8.76 + 4*t^8.91 - t^4.03/y - t^5.39/y - t^5.58/y - (3*t^6.09)/y - t^6.61/y - t^6.76/y - (2*t^6.94)/y + t^7.12/y - (2*t^7.45)/y - t^7.64/y + (2*t^7.79)/y + (4*t^7.97)/y - t^8.12/y - (7*t^8.15)/y - (2*t^8.3)/y + t^8.48/y + (2*t^8.63)/y - (2*t^8.82)/y - t^4.03*y - t^5.39*y - t^5.58*y - 3*t^6.09*y - t^6.61*y - t^6.76*y - 2*t^6.94*y + t^7.12*y - 2*t^7.45*y - t^7.64*y + 2*t^7.79*y + 4*t^7.97*y - t^8.12*y - 7*t^8.15*y - 2*t^8.3*y + t^8.48*y + 2*t^8.63*y - 2*t^8.82*y (2*t^2.06)/g1^4 + t^2.58/g1^5 + g1^18*t^2.72 + 2*g1^6*t^2.91 + t^3.61/g1^7 + (4*t^4.12)/g1^8 + (2*t^4.64)/g1^9 + 3*g1^14*t^4.79 + 5*g1^2*t^4.97 + (2*t^5.15)/g1^10 + g1^13*t^5.3 + g1^36*t^5.45 + 2*g1*t^5.48 + 2*g1^24*t^5.63 + (2*t^5.67)/g1^11 + 2*g1^12*t^5.82 - t^6. + (6*t^6.18)/g1^12 + g1^11*t^6.33 + t^6.52/g1 + (3*t^6.7)/g1^13 + 5*g1^10*t^6.85 + (9*t^7.03)/g1^2 + (4*t^7.21)/g1^14 + 3*g1^9*t^7.36 + 3*g1^32*t^7.51 + (5*t^7.55)/g1^3 + 7*g1^20*t^7.69 + (6*t^7.73)/g1^15 + 6*g1^8*t^7.88 + g1^31*t^8.03 + t^8.06/g1^4 + g1^54*t^8.17 + 2*g1^19*t^8.21 + (8*t^8.24)/g1^16 + 2*g1^42*t^8.36 + 4*g1^7*t^8.39 + 2*g1^30*t^8.54 + t^8.58/g1^5 + (5*t^8.76)/g1^17 + 4*g1^6*t^8.91 - t^4.03/(g1^2*y) - (g1^7*t^5.39)/y - t^5.58/(g1^5*y) - (3*t^6.09)/(g1^6*y) - t^6.61/(g1^7*y) - (g1^16*t^6.76)/y - (2*g1^4*t^6.94)/y + t^7.12/(g1^8*y) - (2*g1^3*t^7.45)/y - t^7.64/(g1^9*y) + (2*g1^14*t^7.79)/y + (4*g1^2*t^7.97)/y - (g1^25*t^8.12)/y - (7*t^8.15)/(g1^10*y) - (2*g1^13*t^8.3)/y + (g1*t^8.48)/y + (2*g1^24*t^8.63)/y - (2*g1^12*t^8.82)/y - (t^4.03*y)/g1^2 - g1^7*t^5.39*y - (t^5.58*y)/g1^5 - (3*t^6.09*y)/g1^6 - (t^6.61*y)/g1^7 - g1^16*t^6.76*y - 2*g1^4*t^6.94*y + (t^7.12*y)/g1^8 - 2*g1^3*t^7.45*y - (t^7.64*y)/g1^9 + 2*g1^14*t^7.79*y + 4*g1^2*t^7.97*y - g1^25*t^8.12*y - (7*t^8.15*y)/g1^10 - 2*g1^13*t^8.3*y + g1*t^8.48*y + 2*g1^24*t^8.63*y - 2*g1^12*t^8.82*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
45391 $q_1^3q_2$ + $ M_1\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_4q_2^2$ 1.8195 1.9539 0.9312 [X:[], M:[0.8406, 0.9913, 0.6724, 1.026], q:[0.5043, 0.487], qb:[], phi:[0.3362]] 2*t^2.02 + t^2.52 + 2*t^2.97 + t^3.08 + t^3.53 + 4*t^4.03 + 2*t^4.54 + t^4.94 + 5*t^4.99 + 2*t^5.04 + 2*t^5.1 + 2*t^5.5 + 2*t^5.55 + t^5.6 + 2*t^5.95 - 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
45089 SO5adj1nf2 $q_1^3q_2$ + $ M_1\phi_1^2q_2$ + $ M_2q_1^2$ 1.8043 1.9224 0.9385 [X:[], M:[0.8593, 0.9689], q:[0.5156, 0.4533], qb:[], phi:[0.3437]] t^2.06 + t^2.58 + t^2.72 + 2*t^2.91 + t^3.61 + t^3.94 + 2*t^4.12 + t^4.64 + 2*t^4.78 + 3*t^4.97 + 2*t^5.16 + t^5.3 + t^5.44 + 2*t^5.48 + 2*t^5.63 + t^5.67 + 2*t^5.81 - t^4.03/y - t^5.39/y - t^5.58/y - t^4.03*y - t^5.39*y - t^5.58*y detail