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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
44942 SO5adj1nf2 $q_1^2q_2^2$ + $ \phi_1^2X_1$ + $ M_1q_1^2$ 1.7651 1.8511 0.9535 [X:[1.3333], M:[0.9563], q:[0.5218, 0.4782], qb:[], phi:[0.3333]] [X:[[0]], M:[[2]], q:[[-1], [1]], qb:[], phi:[[0]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ q_2^2$, $ q_1q_2$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ M_1^2$, $ M_1q_2^2$, $ q_2^4$, $ M_1q_1q_2$ $\phi_1^3q_1q_2$ 0 2*t^2.87 + t^3. + t^3.43 + t^3.57 + 3*t^4. + t^4.87 + t^5. + t^5.13 + 3*t^5.74 + t^5.87 - t^6.13 + 2*t^6.3 + 2*t^6.43 + 6*t^6.87 + 3*t^7. + 3*t^7.43 + 3*t^7.57 + 2*t^7.74 + 2*t^7.87 + 7*t^8. + t^8.3 + t^8.43 + t^8.57 + 4*t^8.61 + t^8.7 + t^8.74 - t^4./y - t^5.43/y - t^5.57/y - t^6./y - (2*t^6.87)/y - t^7./y - t^7.43/y - t^7.57/y - (2*t^8.)/y - (2*t^8.3)/y - (2*t^8.43)/y + t^8.74/y - t^8.87/y - t^4.*y - t^5.43*y - t^5.57*y - t^6.*y - 2*t^6.87*y - t^7.*y - t^7.43*y - t^7.57*y - 2*t^8.*y - 2*t^8.3*y - 2*t^8.43*y + t^8.74*y - t^8.87*y 2*g1^2*t^2.87 + t^3. + g1*t^3.43 + t^3.57/g1 + 3*t^4. + g1^2*t^4.87 + t^5. + t^5.13/g1^2 + 3*g1^4*t^5.74 + g1^2*t^5.87 - t^6.13/g1^2 + 2*g1^3*t^6.3 + 2*g1*t^6.43 + 6*g1^2*t^6.87 + 3*t^7. + 3*g1*t^7.43 + (3*t^7.57)/g1 + 2*g1^4*t^7.74 + 2*g1^2*t^7.87 + 7*t^8. + g1^3*t^8.3 + g1*t^8.43 + t^8.57/g1 + 4*g1^6*t^8.61 + t^8.7/g1^3 + g1^4*t^8.74 - t^4./y - (g1*t^5.43)/y - t^5.57/(g1*y) - t^6./y - (2*g1^2*t^6.87)/y - t^7./y - (g1*t^7.43)/y - t^7.57/(g1*y) - (2*t^8.)/y - (2*g1^3*t^8.3)/y - (2*g1*t^8.43)/y + (g1^4*t^8.74)/y - (g1^2*t^8.87)/y - t^4.*y - g1*t^5.43*y - (t^5.57*y)/g1 - t^6.*y - 2*g1^2*t^6.87*y - t^7.*y - g1*t^7.43*y - (t^7.57*y)/g1 - 2*t^8.*y - 2*g1^3*t^8.3*y - 2*g1*t^8.43*y + g1^4*t^8.74*y - g1^2*t^8.87*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
45054 $q_1^2q_2^2$ + $ \phi_1^2X_1$ + $ M_1q_1^2$ + $ M_2\phi_1^2q_2$ 1.7781 1.8727 0.9495 [X:[1.3333], M:[0.9734, 0.8467], q:[0.5133, 0.4867], qb:[], phi:[0.3333]] t^2.54 + 2*t^2.92 + t^3. + t^3.54 + 3*t^4. + t^4.92 + t^5. + 2*t^5.08 + 2*t^5.46 + t^5.54 + 3*t^5.84 + t^5.92 - t^4./y - t^5.46/y - t^5.54/y - t^6./y - t^4.*y - t^5.46*y - t^5.54*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


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
44925 SO5adj1nf2 $q_1^2q_2^2$ + $ \phi_1^2X_1$ 1.763 1.8464 0.9549 [X:[1.3333], M:[], q:[0.5, 0.5], qb:[], phi:[0.3333]] 3*t^3. + 2*t^3.5 + 3*t^4. + 3*t^5. + 3*t^6. - t^4./y - (2*t^5.5)/y - t^6./y - t^4.*y - 2*t^5.5*y - t^6.*y detail {a: 677/384, c: 709/384, X1: 4/3, q1: 1/2, q2: 1/2, phi1: 1/3}