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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
44968 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ q_1^4$ 1.8119 1.9364 0.9357 [X:[], M:[0.7881], q:[0.5, 0.4322], qb:[], phi:[0.3559]] [X:[], M:[[2]], 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_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_1q_2^2$, $ \phi_1^2q_1^2$, $ M_1q_1q_2$, $ q_2^4$, $ M_1q_1^2$, $ q_1q_2^3$, $ \phi_1^4q_2$, $ q_1^2q_2^2$, $ q_1^3q_2$ $2\phi_1^3q_1q_2$ 1 t^2.14 + t^2.36 + t^2.59 + t^2.8 + t^3. + t^3.43 + t^3.86 + 2*t^4.27 + t^4.5 + 3*t^4.73 + 2*t^4.93 + t^4.96 + 2*t^5.14 + t^5.16 + t^5.19 + t^5.36 + t^5.39 + t^5.57 + 2*t^5.59 + t^5.8 + t^6. + t^6.03 - t^6.2 + 2*t^6.23 + 2*t^6.41 + t^6.43 + t^6.46 + t^6.64 + t^6.66 - t^6.84 + 5*t^6.86 + 2*t^7.07 + 3*t^7.09 + 2*t^7.27 + 3*t^7.3 + 3*t^7.32 + 2*t^7.5 + 4*t^7.53 + t^7.55 + 2*t^7.7 + 6*t^7.73 + t^7.75 + t^7.78 + 2*t^7.93 + 2*t^7.96 + t^7.98 + 2*t^8.14 + 3*t^8.16 + 2*t^8.19 - 2*t^8.34 + 2*t^8.36 + 2*t^8.39 + 3*t^8.54 + 3*t^8.59 + t^8.62 + t^8.77 + 2*t^8.82 - t^8.97 - t^4.07/y - t^5.36/y - t^5.57/y - (2*t^6.2)/y - t^6.43/y - t^6.66/y - t^6.86/y - t^7.07/y - t^7.5/y - t^7.7/y + t^8.14/y - t^8.16/y - (3*t^8.34)/y - t^8.36/y + t^8.39/y - t^8.57/y + t^8.59/y + t^8.77/y - (2*t^8.8)/y - t^4.07*y - t^5.36*y - t^5.57*y - 2*t^6.2*y - t^6.43*y - t^6.66*y - t^6.86*y - t^7.07*y - t^7.5*y - t^7.7*y + t^8.14*y - t^8.16*y - 3*t^8.34*y - t^8.36*y + t^8.39*y - t^8.57*y + t^8.59*y + t^8.77*y - 2*t^8.8*y t^2.14/g1^2 + g1^2*t^2.36 + g1^6*t^2.59 + g1^3*t^2.8 + t^3. + g1*t^3.43 + g1^2*t^3.86 + (2*t^4.27)/g1^4 + t^4.5 + 3*g1^4*t^4.73 + 2*g1*t^4.93 + g1^8*t^4.96 + (2*t^5.14)/g1^2 + g1^5*t^5.16 + g1^12*t^5.19 + g1^2*t^5.36 + g1^9*t^5.39 + t^5.57/g1 + 2*g1^6*t^5.59 + g1^3*t^5.8 + t^6. + g1^7*t^6.03 - t^6.2/g1^3 + 2*g1^4*t^6.23 + (2*t^6.41)/g1^6 + g1*t^6.43 + g1^8*t^6.46 + t^6.64/g1^2 + g1^5*t^6.66 - t^6.84/g1^5 + 5*g1^2*t^6.86 + (2*t^7.07)/g1 + 3*g1^6*t^7.09 + (2*t^7.27)/g1^4 + 3*g1^3*t^7.3 + 3*g1^10*t^7.32 + 2*t^7.5 + 4*g1^7*t^7.53 + g1^14*t^7.55 + (2*t^7.7)/g1^3 + 6*g1^4*t^7.73 + g1^11*t^7.75 + g1^18*t^7.78 + 2*g1*t^7.93 + 2*g1^8*t^7.96 + g1^15*t^7.98 + (2*t^8.14)/g1^2 + 3*g1^5*t^8.16 + 2*g1^12*t^8.19 - (2*t^8.34)/g1^5 + 2*g1^2*t^8.36 + 2*g1^9*t^8.39 + (3*t^8.54)/g1^8 + 3*g1^6*t^8.59 + g1^13*t^8.62 + t^8.77/g1^4 + 2*g1^10*t^8.82 - t^8.97/g1^7 - t^4.07/(g1*y) - (g1^2*t^5.36)/y - t^5.57/(g1*y) - (2*t^6.2)/(g1^3*y) - (g1*t^6.43)/y - (g1^5*t^6.66)/y - (g1^2*t^6.86)/y - t^7.07/(g1*y) - t^7.5/y - t^7.7/(g1^3*y) + t^8.14/(g1^2*y) - (g1^5*t^8.16)/y - (3*t^8.34)/(g1^5*y) - (g1^2*t^8.36)/y + (g1^9*t^8.39)/y - t^8.57/(g1*y) + (g1^6*t^8.59)/y + t^8.77/(g1^4*y) - (2*g1^3*t^8.8)/y - (t^4.07*y)/g1 - g1^2*t^5.36*y - (t^5.57*y)/g1 - (2*t^6.2*y)/g1^3 - g1*t^6.43*y - g1^5*t^6.66*y - g1^2*t^6.86*y - (t^7.07*y)/g1 - t^7.5*y - (t^7.7*y)/g1^3 + (t^8.14*y)/g1^2 - g1^5*t^8.16*y - (3*t^8.34*y)/g1^5 - g1^2*t^8.36*y + g1^9*t^8.39*y - (t^8.57*y)/g1 + g1^6*t^8.59*y + (t^8.77*y)/g1^4 - 2*g1^3*t^8.8*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
45028 $M_1\phi_1^2q_1$ + $ q_1^4$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ 1.7123 1.7873 0.958 [X:[1.4], M:[0.9], q:[0.5, 0.6], qb:[], phi:[0.3]] t^2.7 + t^3. + t^3.3 + 3*t^3.6 + 2*t^4.2 + t^4.8 + t^5.1 + 2*t^5.4 - t^3.9/y - t^5.4/y - (2*t^5.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y detail {a: 6849/4000, c: 7149/4000, X1: 7/5, M1: 9/10, q1: 1/2, q2: 3/5, phi1: 3/10}
45026 $M_1\phi_1^2q_1$ + $ q_1^4$ + $ M_2\phi_1^2q_2$ 1.8246 1.9576 0.9321 [X:[], M:[0.7909, 0.8546], q:[0.5, 0.4363], qb:[], phi:[0.3546]] t^2.13 + t^2.37 + t^2.56 + t^2.62 + t^2.81 + t^3. + t^3.87 + 2*t^4.25 + t^4.5 + t^4.69 + 3*t^4.75 + 3*t^4.94 + t^4.99 + 3*t^5.13 + 2*t^5.18 + t^5.24 + 2*t^5.37 + t^5.43 + t^5.56 + 2*t^5.62 + t^6. - t^4.06/y - t^5.37/y - t^5.56/y - t^4.06*y - t^5.37*y - t^5.56*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
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