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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
8282 SO5adj1nf1 $\phi_1^2X_1$ + $ M_1\phi_1^2q_1^2$ 1.187 1.2265 0.9678 [X:[1.5786], M:[0.8428], q:[0.3679], qb:[], phi:[0.2107]] [X:[[2]], M:[[-4]], q:[[3]], qb:[], phi:[[-1]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_1^2$, $ \phi_1^2q_1$, $ M_1$, $ \phi_1^4$, $ q_1^4$, $ \phi_1^2q_1^3$, $ M_1q_1^2$, $ \phi_1^4q_1^2$, $ X_1$, $ M_1\phi_1^2q_1$, $ \phi_1^6q_1$, $ M_1^2$, $ M_1\phi_1^4$, $ \phi_1^8$ . -1 t^2.21 + t^2.37 + 2*t^2.53 + t^4.42 + t^4.58 + 4*t^4.74 + 2*t^4.9 + 3*t^5.06 - t^6. - t^6.16 + t^6.62 + t^6.78 + 4*t^6.94 + 4*t^7.1 + 7*t^7.26 + 3*t^7.42 + 4*t^7.58 - 2*t^8.21 - t^8.37 - 2*t^8.53 - 2*t^8.69 + t^8.83 - 2*t^8.84 + t^8.99 + t^8.37/y^2 + t^8.53/y^2 - t^8.84/y^2 - t^3.63/y - t^4.74/y - t^4.9/y - t^5.84/y - t^6./y - (2*t^6.16)/y - t^6.94/y - t^7.1/y - (2*t^7.26)/y - (2*t^7.42)/y + t^7.58/y + (2*t^7.74)/y + (2*t^7.9)/y - t^8.05/y + t^8.06/y - t^8.21/y - (2*t^8.37)/y - t^8.53/y - (3*t^8.69)/y - t^3.63*y - t^4.74*y - t^4.9*y - t^5.84*y - t^6.*y - 2*t^6.16*y - t^6.94*y - t^7.1*y - 2*t^7.26*y - 2*t^7.42*y + t^7.58*y + 2*t^7.74*y + 2*t^7.9*y - t^8.05*y + t^8.06*y - t^8.21*y - 2*t^8.37*y - t^8.53*y - 3*t^8.69*y + t^8.37*y^2 + t^8.53*y^2 - t^8.84*y^2 g1^6*t^2.21 + g1*t^2.37 + (2*t^2.53)/g1^4 + g1^12*t^4.42 + g1^7*t^4.58 + 4*g1^2*t^4.74 + (2*t^4.9)/g1^3 + (3*t^5.06)/g1^8 - t^6. - t^6.16/g1^5 + g1^18*t^6.62 + g1^13*t^6.78 + 4*g1^8*t^6.94 + 4*g1^3*t^7.1 + (7*t^7.26)/g1^2 + (3*t^7.42)/g1^7 + (4*t^7.58)/g1^12 - 2*g1^6*t^8.21 - g1*t^8.37 - (2*t^8.53)/g1^4 - (2*t^8.69)/g1^9 + g1^24*t^8.83 - 2*g1^5*t^8.84 + g1^19*t^8.99 + (g1*t^8.37)/y^2 + t^8.53/(g1^4*y^2) - (g1^5*t^8.84)/y^2 - t^3.63/(g1*y) - (g1^2*t^4.74)/y - t^4.9/(g1^3*y) - (g1^5*t^5.84)/y - t^6./y - (2*t^6.16)/(g1^5*y) - (g1^8*t^6.94)/y - (g1^3*t^7.1)/y - (2*t^7.26)/(g1^2*y) - (2*t^7.42)/(g1^7*y) + (g1^7*t^7.58)/y + (2*g1^2*t^7.74)/y + (2*t^7.9)/(g1^3*y) - (g1^11*t^8.05)/y + t^8.06/(g1^8*y) - (g1^6*t^8.21)/y - (2*g1*t^8.37)/y - t^8.53/(g1^4*y) - (3*t^8.69)/(g1^9*y) - (t^3.63*y)/g1 - g1^2*t^4.74*y - (t^4.9*y)/g1^3 - g1^5*t^5.84*y - t^6.*y - (2*t^6.16*y)/g1^5 - g1^8*t^6.94*y - g1^3*t^7.1*y - (2*t^7.26*y)/g1^2 - (2*t^7.42*y)/g1^7 + g1^7*t^7.58*y + 2*g1^2*t^7.74*y + (2*t^7.9*y)/g1^3 - g1^11*t^8.05*y + (t^8.06*y)/g1^8 - g1^6*t^8.21*y - 2*g1*t^8.37*y - (t^8.53*y)/g1^4 - (3*t^8.69*y)/g1^9 + g1*t^8.37*y^2 + (t^8.53*y^2)/g1^4 - g1^5*t^8.84*y^2


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
8291 $\phi_1^2X_1$ + $ M_1\phi_1^2q_1^2$ + $ M_2q_1^2$ 1.1679 1.1917 0.98 [X:[1.5877], M:[0.8246, 1.2369], q:[0.3815], qb:[], phi:[0.2062]] t^2.38 + 2*t^2.47 + t^3.71 + 2*t^4.76 + 2*t^4.86 + 3*t^4.95 - t^6. - t^3.62/y - t^4.76/y - t^4.86/y - t^6./y - t^3.62*y - t^4.76*y - t^4.86*y - t^6.*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
44935 SO5adj1nf2 $q_1^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_2^2$ 1.187 1.2265 0.9678 [X:[1.5786], M:[0.8428], q:[1.0, 0.3679], qb:[], phi:[0.2107]] t^2.21 + t^2.37 + 2*t^2.53 + t^4.42 + t^4.58 + 4*t^4.74 + 2*t^4.9 + 3*t^5.06 - t^6. - t^3.63/y - t^4.74/y - t^4.9/y - t^5.84/y - t^6./y - t^3.63*y - t^4.74*y - t^4.9*y - t^5.84*y - t^6.*y detail


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
8273 SO5adj1nf1 $\phi_1^2X_1$ 1.1741 1.206 0.9736 [X:[1.5686], M:[], q:[0.3528], qb:[], phi:[0.2157]] t^2.12 + t^2.35 + t^2.59 + t^3.41 + t^4.23 + t^4.47 + 3*t^4.71 + t^4.94 + t^5.18 + t^5.53 + t^5.76 - t^3.65/y - t^4.71/y - t^4.94/y - t^5.76/y - t^6./y - t^3.65*y - t^4.71*y - t^4.94*y - t^5.76*y - t^6.*y detail