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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
44940 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_2^2$ 1.7841 1.8877 0.9451 [X:[], M:[1.018], q:[0.503, 0.491], qb:[], phi:[0.3353]] [X:[], M:[[-18]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ q_1q_2$, $ q_1^2$, $ M_1$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ M_1\phi_1^2$, $ \phi_1^4q_2$, $ \phi_1^4q_1$ $2\phi_1^3q_1q_2$ 1 t^2.01 + t^2.98 + t^3.02 + t^3.05 + t^3.49 + t^3.52 + t^3.99 + 2*t^4.02 + t^4.96 + 2*t^4.99 + 2*t^5.03 + t^5.07 + t^5.5 + t^5.53 + t^6. + 3*t^6.04 + t^6.07 + t^6.11 + t^6.47 + t^6.5 + t^6.54 + t^6.57 + 2*t^6.97 + 4*t^7.01 + 4*t^7.04 + 2*t^7.08 + t^7.47 + 3*t^7.51 + 2*t^7.54 + t^7.94 + t^7.98 + 4*t^8.01 + 5*t^8.05 + 2*t^8.08 + t^8.12 + t^8.44 + 2*t^8.48 + 2*t^8.51 + 2*t^8.55 + t^8.59 + t^8.98 - t^4.01/y - t^5.48/y - t^5.51/y - (2*t^6.02)/y - t^6.99/y - t^7.02/y - t^7.06/y - (2*t^7.49)/y - (2*t^7.53)/y + t^7.99/y - (2*t^8.03)/y + t^8.07/y - t^8.46/y - t^8.57/y - t^8.96/y - t^4.01*y - t^5.48*y - t^5.51*y - 2*t^6.02*y - t^6.99*y - t^7.02*y - t^7.06*y - 2*t^7.49*y - 2*t^7.53*y + t^7.99*y - 2*t^8.03*y + t^8.07*y - t^8.46*y - t^8.57*y - t^8.96*y t^2.01/g1^4 + g1^6*t^2.98 + t^3.02/g1^6 + t^3.05/g1^18 + g1^5*t^3.49 + t^3.52/g1^7 + g1^4*t^3.99 + (2*t^4.02)/g1^8 + g1^14*t^4.96 + 2*g1^2*t^4.99 + (2*t^5.03)/g1^10 + t^5.07/g1^22 + g1*t^5.5 + t^5.53/g1^11 + t^6. + (3*t^6.04)/g1^12 + t^6.07/g1^24 + t^6.11/g1^36 + g1^11*t^6.47 + t^6.5/g1 + t^6.54/g1^13 + t^6.57/g1^25 + 2*g1^10*t^6.97 + (4*t^7.01)/g1^2 + (4*t^7.04)/g1^14 + (2*t^7.08)/g1^26 + g1^9*t^7.47 + (3*t^7.51)/g1^3 + (2*t^7.54)/g1^15 + g1^20*t^7.94 + g1^8*t^7.98 + (4*t^8.01)/g1^4 + (5*t^8.05)/g1^16 + (2*t^8.08)/g1^28 + t^8.12/g1^40 + g1^19*t^8.44 + 2*g1^7*t^8.48 + (2*t^8.51)/g1^5 + (2*t^8.55)/g1^17 + t^8.59/g1^29 + g1^6*t^8.98 - t^4.01/(g1^2*y) - (g1^7*t^5.48)/y - t^5.51/(g1^5*y) - (2*t^6.02)/(g1^6*y) - (g1^4*t^6.99)/y - t^7.02/(g1^8*y) - t^7.06/(g1^20*y) - (2*g1^3*t^7.49)/y - (2*t^7.53)/(g1^9*y) + (g1^2*t^7.99)/y - (2*t^8.03)/(g1^10*y) + t^8.07/(g1^22*y) - (g1^13*t^8.46)/y - t^8.57/(g1^23*y) - (g1^12*t^8.96)/y - (t^4.01*y)/g1^2 - g1^7*t^5.48*y - (t^5.51*y)/g1^5 - (2*t^6.02*y)/g1^6 - g1^4*t^6.99*y - (t^7.02*y)/g1^8 - (t^7.06*y)/g1^20 - 2*g1^3*t^7.49*y - (2*t^7.53*y)/g1^9 + g1^2*t^7.99*y - (2*t^8.03*y)/g1^10 + (t^8.07*y)/g1^22 - g1^13*t^8.46*y - (t^8.57*y)/g1^23 - g1^12*t^8.96*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
45030 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_1\phi_1^2$ 1.7438 1.8404 0.9475 [X:[], M:[1.2727], q:[0.5455, 0.3636], qb:[], phi:[0.3636]] t^2.18 + t^2.73 + 2*t^3.27 + 3*t^3.82 + 3*t^4.36 + 2*t^4.91 + 3*t^5.45 + 4*t^6. - t^4.09/y - t^5.18/y - t^5.73/y - t^4.09*y - t^5.18*y - t^5.73*y detail {a: 37137/21296, c: 19597/10648, M1: 14/11, q1: 6/11, q2: 4/11, phi1: 4/11}
45068 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1q_1q_2$ 1.8049 1.9292 0.9356 [X:[], M:[1.0176, 0.6706], q:[0.5029, 0.4912], qb:[], phi:[0.3353]] 2*t^2.01 + t^2.98 + t^3.02 + t^3.05 + t^3.49 + t^3.52 + 4*t^4.02 + t^4.96 + 3*t^4.99 + 3*t^5.03 + 2*t^5.06 + 2*t^5.5 + 2*t^5.53 - t^4.01/y - t^5.48/y - t^5.51/y - t^4.01*y - t^5.48*y - t^5.51*y detail
45056 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_1$ 1.7991 1.9136 0.9402 [X:[], M:[1.0378, 0.8186], q:[0.5063, 0.4811], qb:[], phi:[0.3375]] t^2.03 + t^2.46 + t^2.96 + t^3.04 + t^3.11 + t^3.47 + t^3.97 + 2*t^4.05 + t^4.48 + 2*t^4.91 + 2*t^4.99 + 2*t^5.06 + t^5.14 + t^5.42 + 2*t^5.49 + t^5.57 + t^5.92 + t^6. - t^4.01/y - t^5.46/y - t^5.53/y - t^4.01*y - t^5.46*y - t^5.53*y detail
45072 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ 1.7773 1.871 0.9499 [X:[1.3327], M:[1.003, 0.8342], q:[0.5005, 0.4985], qb:[], phi:[0.3337]] t^2.5 + 2*t^3. + t^3.01 + t^3.5 + 3*t^4. + t^4.99 + 3*t^5. + t^5.5 + 2*t^5.51 - t^4./y - (2*t^5.5)/y - t^6./y - t^4.*y - 2*t^5.5*y - t^6.*y detail
45043 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2$ 1.7632 1.8463 0.955 [X:[], M:[1.0184, 1.3293], q:[0.5031, 0.4908], qb:[], phi:[0.3354]] t^2.98 + t^3.02 + t^3.06 + t^3.48 + t^3.52 + 2*t^3.99 + t^4.02 + t^4.96 + t^4.99 + t^5.03 - t^4.01/y - t^5.48/y - t^5.52/y - t^4.01*y - t^5.48*y - t^5.52*y detail
45034 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ 1.763 1.8466 0.9548 [X:[1.3347], M:[0.9939, 0.998], q:[0.499, 0.503], qb:[], phi:[0.3327]] t^2.98 + 2*t^2.99 + t^3.49 + t^3.51 + t^3.99 + 2*t^4. + t^4.99 + t^5. + t^5.01 + t^5.96 + 2*t^5.98 + 2*t^5.99 - t^6. - t^4./y - t^5.49/y - t^5.51/y - t^5.99/y - t^4.*y - t^5.49*y - t^5.51*y - t^5.99*y detail
45049 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2q_1^2$ 1.785 1.8889 0.945 [X:[], M:[1.0422, 0.9859], q:[0.507, 0.4789], qb:[], phi:[0.338]] t^2.03 + 2*t^2.96 + t^3.13 + t^3.46 + t^3.55 + t^3.97 + 2*t^4.06 + t^4.9 + 3*t^4.99 + t^5.07 + t^5.15 + t^5.49 + t^5.58 + 2*t^5.92 - t^4.01/y - t^5.45/y - t^5.54/y - t^4.01*y - t^5.45*y - t^5.54*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
44922 SO5adj1nf2 $q_1^3q_2$ 1.789 1.8962 0.9435 [X:[], M:[], q:[0.5144, 0.4567], qb:[], phi:[0.343]] t^2.06 + t^2.74 + t^2.91 + t^3.09 + t^3.43 + t^3.6 + t^3.94 + 2*t^4.12 + 2*t^4.8 + 2*t^4.97 + 2*t^5.14 + t^5.48 + t^5.49 + t^5.65 + t^5.66 + t^5.83 + t^6. - t^4.03/y - t^5.4/y - t^5.57/y - t^4.03*y - t^5.4*y - t^5.57*y detail