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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
44977 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ 1.7127 1.7883 0.9577 [X:[1.3948], M:[0.9078], q:[0.487, 0.6052], qb:[], phi:[0.3026]] [X:[[2]], M:[[-3]], q:[[5], [-2]], qb:[], phi:[[-1]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ q_1^2$, $ q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2$, $ q_2^2$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ q_1^4$ $\phi_1^3q_1q_2$ -1 t^2.72 + t^2.92 + t^3.28 + 3*t^3.63 + 2*t^4.18 + t^4.74 + t^5.09 + 2*t^5.45 + t^5.84 - t^6. + t^6.2 + t^6.35 + 3*t^6.55 + 4*t^6.91 + 2*t^7.11 + 5*t^7.26 + 2*t^7.46 + t^7.66 + 6*t^7.82 + 2*t^8.01 + t^8.17 + 5*t^8.37 + 2*t^8.72 + t^8.77 - t^8.92 - t^3.91/y - t^5.37/y - (2*t^5.72)/y - t^6.63/y - t^6.83/y - t^7.18/y - (3*t^7.54)/y - t^8.09/y - t^8.29/y - t^8.45/y - (2*t^8.65)/y - t^3.91*y - t^5.37*y - 2*t^5.72*y - t^6.63*y - t^6.83*y - t^7.18*y - 3*t^7.54*y - t^8.09*y - t^8.29*y - t^8.45*y - 2*t^8.65*y t^2.72/g1^3 + g1^10*t^2.92 + g1^3*t^3.28 + (3*t^3.63)/g1^4 + 2*g1^2*t^4.18 + g1^8*t^4.74 + g1*t^5.09 + (2*t^5.45)/g1^6 + g1^20*t^5.84 - t^6. + g1^13*t^6.2 + t^6.35/g1^7 + 3*g1^6*t^6.55 + (4*t^6.91)/g1 + 2*g1^12*t^7.11 + (5*t^7.26)/g1^8 + 2*g1^5*t^7.46 + g1^18*t^7.66 + (6*t^7.82)/g1^2 + 2*g1^11*t^8.01 + t^8.17/g1^9 + 5*g1^4*t^8.37 + (2*t^8.72)/g1^3 + g1^30*t^8.77 - g1^10*t^8.92 - t^3.91/(g1*y) - (g1^4*t^5.37)/y - (2*t^5.72)/(g1^3*y) - t^6.63/(g1^4*y) - (g1^9*t^6.83)/y - (g1^2*t^7.18)/y - (3*t^7.54)/(g1^5*y) - (g1*t^8.09)/y - (g1^14*t^8.29)/y - t^8.45/(g1^6*y) - (2*g1^7*t^8.65)/y - (t^3.91*y)/g1 - g1^4*t^5.37*y - (2*t^5.72*y)/g1^3 - (t^6.63*y)/g1^4 - g1^9*t^6.83*y - g1^2*t^7.18*y - (3*t^7.54*y)/g1^5 - g1*t^8.09*y - g1^14*t^8.29*y - (t^8.45*y)/g1^6 - 2*g1^7*t^8.65*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
44990 $M_1\phi_1^2q_1$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ + $ M_2q_1q_2$ 1.7214 1.8027 0.9549 [X:[1.3987], M:[0.9019, 0.9019], q:[0.4968, 0.6013], qb:[], phi:[0.3006]] 2*t^2.71 + t^2.98 + 3*t^3.61 + 2*t^4.2 + t^4.78 + t^5.1 + 4*t^5.41 + t^5.69 + t^5.96 - 2*t^6. - t^3.9/y - t^5.39/y - (2*t^5.71)/y - t^3.9*y - t^5.39*y - 2*t^5.71*y detail
44998 $M_1\phi_1^2q_1$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ + $ \phi_1^2q_1^2$ 1.5527 1.6152 0.9613 [X:[1.5], M:[0.75], q:[0.75, 0.5], qb:[], phi:[0.25]] t^2.25 + 3*t^3. + t^3.75 + 5*t^4.5 + 2*t^5.25 + 5*t^6. - t^3.75/y - (2*t^5.25)/y - (2*t^6.)/y - t^3.75*y - 2*t^5.25*y - 2*t^6.*y detail {a: 795/512, c: 827/512, X1: 3/2, M1: 3/4, q1: 3/4, q2: 1/2, phi1: 1/4}


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
44918 SO5adj1nf2 $M_1\phi_1^2q_1$ 1.8177 1.9448 0.9347 [X:[], M:[0.809], q:[0.4541, 0.4406], qb:[], phi:[0.3684]] t^2.21 + t^2.43 + t^2.64 + t^2.68 + t^2.72 + t^3.53 + t^3.79 + 2*t^4.42 + t^4.64 + 3*t^4.85 + 2*t^4.89 + 2*t^4.94 + t^5.07 + t^5.11 + t^5.15 + t^5.29 + t^5.33 + 2*t^5.37 + t^5.41 + t^5.45 + t^5.74 - t^4.11/y - t^5.43/y - t^5.47/y - t^4.11*y - t^5.43*y - t^5.47*y detail
44919 SO5adj1nf2 $M_1\phi_1^2$ 1.7824 1.8817 0.9472 [X:[], M:[1.2605], q:[0.4454, 0.4454], qb:[], phi:[0.3698]] 3*t^2.67 + 2*t^3.55 + 2*t^3.78 + t^4.44 + 3*t^4.89 + 6*t^5.34 - 3*t^6. - t^4.11/y - (2*t^5.45)/y - t^4.11*y - 2*t^5.45*y detail