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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
45511 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_1M_4$ + $ M_5\phi_1^2$ 1.7619 1.8468 0.954 [X:[], M:[0.8537, 1.1463, 1.0121, 1.1463, 1.2805], q:[0.4268, 0.494], qb:[], phi:[0.3597]] [X:[], M:[[4], [-4], [-14], [-4], [6]], q:[[2], [7]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_1q_2$, $ M_3$, $ M_2$, $ M_4$, $ \phi_1^2q_2$, $ M_5$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ q_1^2q_2^2$ $\phi_1^3q_1q_2$ -1 t^2.76 + t^3.04 + 2*t^3.44 + t^3.64 + 2*t^3.84 + t^4.32 + t^4.72 + t^4.92 + t^5.12 + t^5.52 - t^6. + t^6.07 + t^6.2 + t^6.4 + 2*t^6.48 + 2*t^6.6 + 3*t^6.88 + 2*t^7.08 + 4*t^7.28 + t^7.35 + 3*t^7.48 + 3*t^7.68 + 3*t^7.76 + t^7.88 + t^7.96 + 4*t^8.16 + t^8.29 + t^8.36 + 3*t^8.56 + t^8.63 + t^8.76 + 2*t^8.96 - t^4.08/y - t^5.36/y - t^5.56/y - t^6.24/y - t^6.84/y - t^7.12/y - (2*t^7.52)/y - t^7.72/y - t^7.92/y - t^8.12/y - t^8.32/y - (2*t^8.4)/y - t^4.08*y - t^5.36*y - t^5.56*y - t^6.24*y - t^6.84*y - t^7.12*y - 2*t^7.52*y - t^7.72*y - t^7.92*y - t^8.12*y - t^8.32*y - 2*t^8.4*y g1^9*t^2.76 + t^3.04/g1^14 + (2*t^3.44)/g1^4 + g1*t^3.64 + 2*g1^6*t^3.84 + t^4.32/g1^12 + t^4.72/g1^2 + g1^3*t^4.92 + g1^8*t^5.12 + g1^18*t^5.52 - t^6. + t^6.07/g1^28 + g1^5*t^6.2 + g1^10*t^6.4 + (2*t^6.48)/g1^18 + 2*g1^15*t^6.6 + (3*t^6.88)/g1^8 + (2*t^7.08)/g1^3 + 4*g1^2*t^7.28 + t^7.35/g1^26 + 3*g1^7*t^7.48 + 3*g1^12*t^7.68 + (3*t^7.76)/g1^16 + g1^17*t^7.88 + t^7.96/g1^11 + (4*t^8.16)/g1^6 + g1^27*t^8.29 + t^8.36/g1 + 3*g1^4*t^8.56 + t^8.63/g1^24 + g1^9*t^8.76 + 2*g1^14*t^8.96 - t^4.08/(g1^3*y) - t^5.36/(g1*y) - (g1^4*t^5.56)/y - t^6.24/(g1^9*y) - (g1^6*t^6.84)/y - t^7.12/(g1^17*y) - (2*t^7.52)/(g1^7*y) - t^7.72/(g1^2*y) - (g1^3*t^7.92)/y - (g1^8*t^8.12)/y - (g1^13*t^8.32)/y - (2*t^8.4)/(g1^15*y) - (t^4.08*y)/g1^3 - (t^5.36*y)/g1 - g1^4*t^5.56*y - (t^6.24*y)/g1^9 - g1^6*t^6.84*y - (t^7.12*y)/g1^17 - (2*t^7.52*y)/g1^7 - (t^7.72*y)/g1^2 - g1^3*t^7.92*y - g1^8*t^8.12*y - g1^13*t^8.32*y - (2*t^8.4*y)/g1^15


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
45578 $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_1M_4$ + $ M_5\phi_1^2q_2$ + $ M_6\phi_1^2$ 1.7791 1.8774 0.9476 [X:[], M:[0.8544, 1.1456, 1.0095, 1.1456, 0.7864, 1.2816], q:[0.4272, 0.4953], qb:[], phi:[0.3592]] t^2.36 + t^2.77 + t^3.03 + 2*t^3.44 + 2*t^3.84 + t^4.31 + 2*t^4.72 + t^4.92 + 2*t^5.13 + t^5.39 + t^5.53 + 2*t^5.8 - t^6. - t^4.08/y - t^5.36/y - t^5.56/y - t^4.08*y - t^5.36*y - t^5.56*y detail
45577 $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_1M_4$ + $ M_5\phi_1^2q_2$ + $ M_6q_1q_2$ 1.7936 1.9071 0.9405 [X:[], M:[0.8667, 1.1333, 0.9666, 1.1333, 0.7833, 1.05], q:[0.4333, 0.5167], qb:[], phi:[0.35]] t^2.1 + t^2.35 + t^2.9 + t^3.15 + 2*t^3.4 + t^3.9 + 2*t^4.2 + t^4.45 + 2*t^4.7 + t^4.95 + t^5. + t^5.2 + 2*t^5.25 + 3*t^5.5 + t^5.75 + t^5.8 - t^4.05/y - t^5.35/y - t^5.6/y - t^4.05*y - t^5.35*y - t^5.6*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
45317 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_1M_4$ 1.782 1.8846 0.9456 [X:[], M:[0.8558, 1.1442, 1.0048, 1.1442], q:[0.4279, 0.4976], qb:[], phi:[0.3582]] t^2.15 + t^2.78 + t^3.01 + 2*t^3.43 + t^3.64 + t^3.85 + 2*t^4.3 + t^4.72 + 2*t^4.93 + t^5.13 + t^5.16 + t^5.55 + 2*t^5.58 + t^5.79 - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y detail