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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
57293 SU3adj1nf2 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ 1.4741 1.6834 0.8757 [M:[0.6772, 1.3291], q:[0.4937, 0.5], qb:[0.4937, 0.5], phi:[0.3354]] [M:[[-5, -5, 0], [2, 2, 0]], q:[[6, 0, 0], [0, 0, -1]], qb:[[0, 6, 0], [0, 0, 1]], phi:[[-1, -1, 0]]] 3
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ -1 t^2.032 + t^2.962 + 2*t^2.981 + t^3. + t^3.019 + 3*t^3.987 + t^4.006 + t^4.063 + t^4.975 + 3*t^4.994 + 3*t^5.013 + t^5.032 + t^5.051 + 2*t^5.468 + 2*t^5.487 + t^5.924 + 2*t^5.943 + 4*t^5.962 + t^5.981 - t^6. + 2*t^6.019 + 2*t^6.038 + t^6.095 + 2*t^6.475 + 2*t^6.494 + 3*t^6.949 + 7*t^6.968 + 3*t^6.987 + 2*t^7.006 + 2*t^7.025 + 3*t^7.044 + t^7.063 + t^7.083 + 2*t^7.462 + 2*t^7.5 + 4*t^7.519 + t^7.937 + 4*t^7.956 + 11*t^7.975 + 9*t^7.994 + 3*t^8.013 - 2*t^8.032 + 2*t^8.051 + 2*t^8.07 + t^8.127 + 2*t^8.43 + 6*t^8.449 + 4*t^8.468 - 2*t^8.487 - 2*t^8.506 + t^8.886 + 2*t^8.905 + 4*t^8.924 + 5*t^8.943 + t^8.981 - t^4.006/y - t^5.013/y - t^6.038/y - t^6.968/y - (2*t^6.987)/y - t^7.006/y - t^7.025/y - t^7.044/y - t^7.994/y + t^8.013/y + t^8.051/y - t^8.07/y + (2*t^8.943)/y + (2*t^8.962)/y + (3*t^8.981)/y - t^4.006*y - t^5.013*y - t^6.038*y - t^6.968*y - 2*t^6.987*y - t^7.006*y - t^7.025*y - t^7.044*y - t^7.994*y + t^8.013*y + t^8.051*y - t^8.07*y + 2*t^8.943*y + 2*t^8.962*y + 3*t^8.981*y t^2.032/(g1^5*g2^5) + g1^6*g2^6*t^2.962 + (g2^6*t^2.981)/g3 + g1^6*g3*t^2.981 + t^3. + t^3.019/(g1^3*g2^3) + g1^2*g2^2*t^3.987 + (g2^5*t^3.987)/(g1*g3) + (g1^5*g3*t^3.987)/g2 + t^4.006/(g1*g2) + t^4.063/(g1^10*g2^10) + g1^4*g2^4*t^4.975 + g1*g2*t^4.994 + (g2^4*t^4.994)/(g1^2*g3) + (g1^4*g3*t^4.994)/g2^2 + t^5.013/(g1^2*g2^2) + (g2*t^5.013)/(g1^5*g3) + (g1*g3*t^5.013)/g2^5 + t^5.032/(g1^5*g2^5) + t^5.051/(g1^8*g2^8) + (g1^11*t^5.468)/(g2*g3) + (g2^11*g3*t^5.468)/g1 + (g1^5*t^5.487)/(g2*g3^2) + (g2^5*g3^2*t^5.487)/g1 + g1^12*g2^12*t^5.924 + (g1^6*g2^12*t^5.943)/g3 + g1^12*g2^6*g3*t^5.943 + 2*g1^6*g2^6*t^5.962 + (g2^12*t^5.962)/g3^2 + g1^12*g3^2*t^5.962 + g1^3*g2^3*t^5.981 - 3*t^6. + (g2^3*t^6.)/(g1^3*g3) + (g1^3*g3*t^6.)/g2^3 + (2*t^6.019)/(g1^3*g2^3) + (2*t^6.038)/(g1^6*g2^6) + t^6.095/(g1^15*g2^15) + (g1^10*t^6.475)/(g2^2*g3) + (g2^10*g3*t^6.475)/g1^2 + (g1^4*t^6.494)/(g2^2*g3^2) + (g2^4*g3^2*t^6.494)/g1^2 + g1^8*g2^8*t^6.949 + (g1^5*g2^11*t^6.949)/g3 + g1^11*g2^5*g3*t^6.949 + 3*g1^5*g2^5*t^6.968 + (g2^11*t^6.968)/(g1*g3^2) + (g1^2*g2^8*t^6.968)/g3 + g1^8*g2^2*g3*t^6.968 + (g1^11*g3^2*t^6.968)/g2 + g1^2*g2^2*t^6.987 + (g2^5*t^6.987)/(g1*g3) + (g1^5*g3*t^6.987)/g2 + (g2^2*t^7.006)/(g1^4*g3) + (g1^2*g3*t^7.006)/g2^4 + (2*t^7.025)/(g1^4*g2^4) + t^7.044/(g1^7*g2^7) + t^7.044/(g1^10*g2^4*g3) + (g3*t^7.044)/(g1^4*g2^10) + t^7.063/(g1^10*g2^10) + t^7.083/(g1^13*g2^13) + (g1^15*t^7.462)/g2^3 + (g2^15*t^7.462)/g1^3 - (g1^6*t^7.481)/g3^2 + (g1^9*t^7.481)/(g2^3*g3) + (g2^9*g3*t^7.481)/g1^3 - g2^6*g3^2*t^7.481 + (g1^3*t^7.5)/(g2^3*g3^2) + (g2^3*g3^2*t^7.5)/g1^3 + t^7.519/(g1^3*g2^3*g3^3) + t^7.519/(g2^6*g3^2) + (g3^2*t^7.519)/g1^6 + (g3^3*t^7.519)/(g1^3*g2^3) + g1^10*g2^10*t^7.937 + (2*g1^4*g2^10*t^7.956)/g3 + 2*g1^10*g2^4*g3*t^7.956 + 5*g1^4*g2^4*t^7.975 + (2*g2^10*t^7.975)/(g1^2*g3^2) + (g1*g2^7*t^7.975)/g3 + g1^7*g2*g3*t^7.975 + (2*g1^10*g3^2*t^7.975)/g2^2 + 3*g1*g2*t^7.994 + (g2^7*t^7.994)/(g1^5*g3^2) + (2*g2^4*t^7.994)/(g1^2*g3) + (2*g1^4*g3*t^7.994)/g2^2 + (g1^7*g3^2*t^7.994)/g2^5 + t^8.013/(g1^2*g2^2) + (g2*t^8.013)/(g1^5*g3) + (g1*g3*t^8.013)/g2^5 - (2*t^8.032)/(g1^5*g2^5) + (2*t^8.051)/(g1^8*g2^8) + (2*t^8.07)/(g1^11*g2^11) + t^8.127/(g1^20*g2^20) + (g1^17*g2^5*t^8.43)/g3 + g1^5*g2^17*g3*t^8.43 + (g1^17*t^8.449)/g2 + (g2^17*t^8.449)/g1 + (2*g1^11*g2^5*t^8.449)/g3^2 + 2*g1^5*g2^11*g3^2*t^8.449 + (g1^5*g2^5*t^8.468)/g3^3 + (g1^11*t^8.468)/(g2*g3) + (g2^11*g3*t^8.468)/g1 + g1^5*g2^5*g3^3*t^8.468 - (g1^11*t^8.487)/g2^7 - (g2^11*t^8.487)/g1^7 - (g1^5*t^8.487)/(g2*g3^2) + (g1^8*t^8.487)/(g2^4*g3) + (g2^8*g3*t^8.487)/g1^4 - (g2^5*g3^2*t^8.487)/g1 - t^8.506/(g1*g2*g3^3) + (g1^2*t^8.506)/(g2^4*g3^2) - (g1^5*t^8.506)/(g2^7*g3) - (g2^5*g3*t^8.506)/g1^7 + (g2^2*g3^2*t^8.506)/g1^4 - (g3^3*t^8.506)/(g1*g2) + g1^18*g2^18*t^8.886 + (g1^12*g2^18*t^8.905)/g3 + g1^18*g2^12*g3*t^8.905 + 2*g1^12*g2^12*t^8.924 + (g1^6*g2^18*t^8.924)/g3^2 + g1^18*g2^6*g3^2*t^8.924 + g1^9*g2^9*t^8.943 + (g2^18*t^8.943)/g3^3 + (g1^6*g2^12*t^8.943)/g3 + g1^12*g2^6*g3*t^8.943 + g1^18*g3^3*t^8.943 - 4*g1^6*g2^6*t^8.962 + (2*g1^3*g2^9*t^8.962)/g3 + 2*g1^9*g2^3*g3*t^8.962 + 5*g1^3*g2^3*t^8.981 + (2*g2^9*t^8.981)/(g1^3*g3^2) - (4*g2^6*t^8.981)/g3 - 4*g1^6*g3*t^8.981 + (2*g1^9*g3^2*t^8.981)/g2^3 - t^4.006/(g1*g2*y) - t^5.013/(g1^2*g2^2*y) - t^6.038/(g1^6*g2^6*y) - (g1^5*g2^5*t^6.968)/y - (g2^5*t^6.987)/(g1*g3*y) - (g1^5*g3*t^6.987)/(g2*y) - t^7.006/(g1*g2*y) - t^7.025/(g1^4*g2^4*y) - t^7.044/(g1^7*g2^7*y) + (g1*g2*t^7.994)/y - (g2^4*t^7.994)/(g1^2*g3*y) - (g1^4*g3*t^7.994)/(g2^2*y) - t^8.013/(g1^2*g2^2*y) + (g2*t^8.013)/(g1^5*g3*y) + (g1*g3*t^8.013)/(g2^5*y) + t^8.051/(g1^8*g2^8*y) - t^8.07/(g1^11*g2^11*y) + (g1^6*g2^12*t^8.943)/(g3*y) + (g1^12*g2^6*g3*t^8.943)/y + (2*g1^6*g2^6*t^8.962)/y + (g1^3*g2^3*t^8.981)/y + (g2^6*t^8.981)/(g3*y) + (g1^6*g3*t^8.981)/y - (t^4.006*y)/(g1*g2) - (t^5.013*y)/(g1^2*g2^2) - (t^6.038*y)/(g1^6*g2^6) - g1^5*g2^5*t^6.968*y - (g2^5*t^6.987*y)/(g1*g3) - (g1^5*g3*t^6.987*y)/g2 - (t^7.006*y)/(g1*g2) - (t^7.025*y)/(g1^4*g2^4) - (t^7.044*y)/(g1^7*g2^7) + g1*g2*t^7.994*y - (g2^4*t^7.994*y)/(g1^2*g3) - (g1^4*g3*t^7.994*y)/g2^2 - (t^8.013*y)/(g1^2*g2^2) + (g2*t^8.013*y)/(g1^5*g3) + (g1*g3*t^8.013*y)/g2^5 + (t^8.051*y)/(g1^8*g2^8) - (t^8.07*y)/(g1^11*g2^11) + (g1^6*g2^12*t^8.943*y)/g3 + g1^12*g2^6*g3*t^8.943*y + 2*g1^6*g2^6*t^8.962*y + g1^3*g2^3*t^8.981*y + (g2^6*t^8.981*y)/g3 + g1^6*g3*t^8.981*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
57902 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ 1.4214 1.648 0.8625 [X:[], M:[0.875, 1.25], q:[0.375, 0.5], qb:[0.375, 0.5], phi:[0.375]] t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 3*t^3.75 + t^4.12 + 2*t^4.5 + 7*t^4.88 + 10*t^5.25 + 2*t^5.62 + 5*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y detail {a: 23289/16384, c: 27001/16384, M1: 7/8, M2: 5/4, q1: 3/8, q2: 1/2, qb1: 3/8, qb2: 1/2, phi1: 3/8}
57901 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ 1.3277 1.5232 0.8717 [X:[1.3547], M:[0.7733, 1.2907], q:[0.2994, 0.6541], qb:[0.5726, 0.3459], phi:[0.3547]] t^2.32 + t^2.62 + 2*t^3. + t^3.19 + t^3.68 + t^3.87 + 3*t^4.06 + t^4.64 + 2*t^4.74 + t^4.82 + t^4.86 + t^5.13 + t^5.23 + t^5.32 + t^5.51 + t^5.54 + 2*t^5.62 + 2*t^5.81 + 3*t^5.89 + t^5.92 - t^6. - t^4.06/y - t^5.13/y - t^4.06*y - t^5.13*y detail
57905 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ 1.4949 1.7248 0.8667 [X:[], M:[0.677, 1.3292, 0.67], q:[0.4935, 0.5004], qb:[0.4942, 0.4996], phi:[0.3354]] t^2.01 + t^2.03 + t^2.96 + 2*t^2.98 + t^3. + t^3.02 + 2*t^3.99 + t^4.01 + t^4.02 + t^4.04 + t^4.06 + t^4.97 + t^4.98 + 4*t^4.99 + t^5. + 4*t^5.01 + 2*t^5.03 + t^5.05 + 2*t^5.47 + 2*t^5.49 + t^5.93 + t^5.94 + t^5.95 + 3*t^5.96 + t^5.97 + t^5.98 + t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*y detail
57904 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{3}$ 1.4753 1.6876 0.8742 [X:[], M:[0.6983, 1.3207, 0.981], q:[0.481, 0.5], qb:[0.481, 0.5], phi:[0.3397]] t^2.09 + t^2.89 + 3*t^2.94 + t^3. + 3*t^3.96 + t^4.02 + t^4.19 + t^4.92 + 3*t^4.98 + 4*t^5.04 + t^5.09 + 2*t^5.41 + 2*t^5.46 + t^5.77 + 3*t^5.83 + 7*t^5.89 + t^5.94 - 3*t^6. - t^4.02/y - t^5.04/y - t^4.02*y - t^5.04*y detail
57903 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ 1.4741 1.6831 0.8758 [X:[], M:[0.6745, 1.3302], q:[0.4929, 0.5024], qb:[0.4976, 0.4976], phi:[0.3349]] t^2.02 + 2*t^2.97 + 2*t^3. + t^3.01 + t^3.98 + t^3.99 + 2*t^4. + t^4.05 + 2*t^4.98 + 2*t^5. + 2*t^5.01 + 2*t^5.02 + t^5.04 + t^5.47 + 2*t^5.48 + t^5.5 + 3*t^5.94 + 3*t^5.97 + 2*t^5.99 - 2*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*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
47879 SU3adj1nf2 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ 1.4743 1.6855 0.8747 [M:[0.674, 1.3244], q:[0.4941, 0.4925], qb:[0.4941, 0.4925], phi:[0.3378]] t^2.022 + t^2.955 + 2*t^2.96 + t^2.965 + t^3.04 + t^3.968 + 3*t^3.973 + t^4.044 + t^4.977 + 3*t^4.982 + 3*t^4.987 + t^4.991 + t^5.062 + 2*t^5.451 + 2*t^5.456 + t^5.91 + 2*t^5.915 + 4*t^5.92 + 2*t^5.924 + t^5.929 + t^5.99 + 2*t^5.995 - 2*t^6. - t^4.013/y - t^5.027/y - t^4.013*y - t^5.027*y detail