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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
44953 SO5adj1nf2 $q_1^4$ + $ M_1\phi_1^2q_2$ 1.8077 1.9271 0.9381 [X:[], M:[0.8524], q:[0.5, 0.4427], qb:[], phi:[0.3524]] [X:[], M:[[-1]], q:[[0], [3]], qb:[], phi:[[-1]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ M_1$, $ q_2^2$, $ q_1q_2$, $ q_1^2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ \phi_1^2q_1^2$, $ M_1q_2^2$, $ q_2^4$, $ M_1q_1q_2$, $ q_1q_2^3$, $ M_1q_1^2$, $ q_1^2q_2^2$, $ \phi_1^4q_1$ $2\phi_1^3q_1q_2$ 1 t^2.11 + t^2.56 + t^2.66 + t^2.83 + t^3. + t^3.61 + t^3.89 + 2*t^4.23 + t^4.67 + 2*t^4.77 + 2*t^4.94 + 3*t^5.11 + t^5.21 + t^5.31 + t^5.39 + t^5.48 + t^5.56 + 2*t^5.66 + t^5.73 + t^6. + t^6.27 + 2*t^6.34 + 2*t^6.44 + t^6.54 + t^6.71 + t^6.79 + 3*t^6.89 + 2*t^7.06 + 4*t^7.23 + 2*t^7.33 + 2*t^7.43 + 3*t^7.5 + 3*t^7.6 + 3*t^7.67 + 6*t^7.77 + 2*t^7.84 + t^7.87 + 2*t^7.94 + t^7.97 + t^8.04 + 3*t^8.11 + t^8.14 + 2*t^8.21 - t^8.29 + 2*t^8.31 + t^8.39 + 3*t^8.46 + t^8.48 + 2*t^8.56 + t^8.66 + t^8.73 + t^8.9 + t^8.93 - t^4.06/y - t^5.39/y - t^5.56/y - (2*t^6.17)/y - t^6.61/y - t^6.71/y - t^6.89/y - t^7.06/y - t^7.5/y - t^7.67/y + t^7.77/y - t^8.04/y - t^8.21/y - (3*t^8.29)/y - t^8.39/y + t^8.48/y + t^8.56/y + t^8.66/y - t^8.83/y - t^4.06*y - t^5.39*y - t^5.56*y - 2*t^6.17*y - t^6.61*y - t^6.71*y - t^6.89*y - t^7.06*y - t^7.5*y - t^7.67*y + t^7.77*y - t^8.04*y - t^8.21*y - 3*t^8.29*y - t^8.39*y + t^8.48*y + t^8.56*y + t^8.66*y - t^8.83*y t^2.11/g1^2 + t^2.56/g1 + g1^6*t^2.66 + g1^3*t^2.83 + t^3. + t^3.61/g1^2 + g1^2*t^3.89 + (2*t^4.23)/g1^4 + t^4.67/g1^3 + 2*g1^4*t^4.77 + 2*g1*t^4.94 + (3*t^5.11)/g1^2 + g1^5*t^5.21 + g1^12*t^5.31 + g1^2*t^5.39 + g1^9*t^5.48 + t^5.56/g1 + 2*g1^6*t^5.66 + t^5.73/g1^4 + t^6. + g1^4*t^6.27 + (2*t^6.34)/g1^6 + 2*g1*t^6.44 + g1^8*t^6.54 + g1^5*t^6.71 + t^6.79/g1^5 + 3*g1^2*t^6.89 + (2*t^7.06)/g1 + (4*t^7.23)/g1^4 + 2*g1^3*t^7.33 + 2*g1^10*t^7.43 + 3*t^7.5 + 3*g1^7*t^7.6 + (3*t^7.67)/g1^3 + 6*g1^4*t^7.77 + (2*t^7.84)/g1^6 + g1^11*t^7.87 + 2*g1*t^7.94 + g1^18*t^7.97 + g1^8*t^8.04 + (3*t^8.11)/g1^2 + g1^15*t^8.14 + 2*g1^5*t^8.21 - t^8.29/g1^5 + 2*g1^12*t^8.31 + g1^2*t^8.39 + (3*t^8.46)/g1^8 + g1^9*t^8.48 + (2*t^8.56)/g1 + g1^6*t^8.66 + t^8.73/g1^4 + t^8.9/g1^7 + g1^10*t^8.93 - t^4.06/(g1*y) - (g1^2*t^5.39)/y - t^5.56/(g1*y) - (2*t^6.17)/(g1^3*y) - t^6.61/(g1^2*y) - (g1^5*t^6.71)/y - (g1^2*t^6.89)/y - t^7.06/(g1*y) - t^7.5/y - t^7.67/(g1^3*y) + (g1^4*t^7.77)/y - (g1^8*t^8.04)/y - (g1^5*t^8.21)/y - (3*t^8.29)/(g1^5*y) - (g1^2*t^8.39)/y + (g1^9*t^8.48)/y + t^8.56/(g1*y) + (g1^6*t^8.66)/y - (g1^3*t^8.83)/y - (t^4.06*y)/g1 - g1^2*t^5.39*y - (t^5.56*y)/g1 - (2*t^6.17*y)/g1^3 - (t^6.61*y)/g1^2 - g1^5*t^6.71*y - g1^2*t^6.89*y - (t^7.06*y)/g1 - t^7.5*y - (t^7.67*y)/g1^3 + g1^4*t^7.77*y - g1^8*t^8.04*y - g1^5*t^8.21*y - (3*t^8.29*y)/g1^5 - g1^2*t^8.39*y + g1^9*t^8.48*y + (t^8.56*y)/g1 + g1^6*t^8.66*y - g1^3*t^8.83*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
45077 $q_1^4$ + $ M_1\phi_1^2q_2$ + $ M_2q_2^2$ 1.8 1.9135 0.9407 [X:[], M:[0.842, 1.0518], q:[0.5, 0.4741], qb:[], phi:[0.342]] t^2.05 + t^2.53 + t^2.92 + t^3. + t^3.16 + t^3.55 + t^3.95 + 2*t^4.1 + t^4.58 + t^4.9 + 2*t^4.97 + 3*t^5.05 + t^5.21 + t^5.45 + t^5.53 + t^5.6 + t^5.68 + t^5.84 + t^6. - t^4.03/y - t^5.45/y - t^5.53/y - t^4.03*y - t^5.45*y - t^5.53*y detail
45017 $q_1^4$ + $ M_1\phi_1^2q_2$ + $ \phi_1^4q_1$ 1.7937 1.9187 0.9349 [X:[], M:[0.875], q:[0.5, 0.375], qb:[], phi:[0.375]] 2*t^2.25 + 2*t^2.62 + t^3. + 2*t^3.75 + 5*t^4.5 + 5*t^4.88 + 6*t^5.25 + t^5.62 + 4*t^6. - t^4.12/y - t^5.25/y - t^5.62/y - t^4.12*y - t^5.25*y - t^5.62*y detail {a: 7347/4096, c: 7859/4096, M1: 7/8, q1: 1/2, q2: 3/8, phi1: 3/8}


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
44928 SO5adj1nf2 $q_1^4$ 1.7948 1.9054 0.942 [X:[], M:[], q:[0.5, 0.4384], qb:[], phi:[0.3539]] t^2.12 + t^2.63 + t^2.82 + t^3. + t^3.44 + t^3.62 + t^3.88 + 2*t^4.25 + 2*t^4.75 + 2*t^4.94 + 2*t^5.12 + t^5.26 + t^5.45 + t^5.56 + 2*t^5.63 + t^5.75 + t^6. - t^4.06/y - t^5.38/y - t^5.56/y - t^4.06*y - t^5.38*y - t^5.56*y detail