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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
45034 SO5adj1nf2 $q_1^3q_2$ + $ 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]] [X:[[4]], M:[[-18], [-6]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ M_2$, $ q_1^2$, $ \phi_1^2q_1$, $ \phi_1^2q_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ M_1^2$, $ M_1M_2$, $ M_1q_1^2$, $ M_2^2$, $ M_2q_1^2$ $\phi_1^3q_1q_2$ -1 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^6.01 + t^6.47 + 2*t^6.49 + t^6.5 + t^6.97 + 4*t^6.99 + 4*t^7. + t^7.48 + 3*t^7.5 + 2*t^7.51 + t^7.97 + 3*t^7.98 + 4*t^8. + 3*t^8.01 + t^8.48 + t^8.49 + t^8.51 + t^8.52 + t^8.95 + 2*t^8.96 + 2*t^8.97 + t^8.98 - t^8.99 - t^4./y - t^5.49/y - t^5.51/y - t^5.99/y - t^6.98/y - (2*t^6.99)/y - t^7.49/y - t^7.5/y - t^7.99/y - t^8./y - t^8.48/y - (2*t^8.49)/y - t^8.5/y + t^8.98/y - (2*t^8.99)/y - t^4.*y - t^5.49*y - t^5.51*y - t^5.99*y - t^6.98*y - 2*t^6.99*y - t^7.49*y - t^7.5*y - t^7.99*y - t^8.*y - t^8.48*y - 2*t^8.49*y - t^8.5*y + t^8.98*y - 2*t^8.99*y t^2.98/g1^18 + (2*t^2.99)/g1^6 + t^3.49/g1^7 + g1^5*t^3.51 + t^3.99/g1^8 + 2*g1^4*t^4. + t^4.99/g1^10 + g1^2*t^5. + g1^14*t^5.01 + t^5.96/g1^36 + (2*t^5.98)/g1^24 + (2*t^5.99)/g1^12 - t^6. - g1^12*t^6.01 + t^6.47/g1^25 + (2*t^6.49)/g1^13 + t^6.5/g1 + t^6.97/g1^26 + (4*t^6.99)/g1^14 + (4*t^7.)/g1^2 + t^7.48/g1^15 + (3*t^7.5)/g1^3 + 2*g1^9*t^7.51 + t^7.97/g1^28 + (3*t^7.98)/g1^16 + (4*t^8.)/g1^4 + 3*g1^8*t^8.01 + t^8.48/g1^17 + t^8.49/g1^5 + g1^7*t^8.51 + g1^19*t^8.52 + t^8.95/g1^54 + (2*t^8.96)/g1^42 + (2*t^8.97)/g1^30 + t^8.98/g1^18 - t^8.99/g1^6 - t^4./(g1^2*y) - t^5.49/(g1^5*y) - (g1^7*t^5.51)/y - t^5.99/(g1^6*y) - t^6.98/(g1^20*y) - (2*t^6.99)/(g1^8*y) - t^7.49/(g1^9*y) - (g1^3*t^7.5)/y - t^7.99/(g1^10*y) - (g1^2*t^8.)/y - t^8.48/(g1^23*y) - (2*t^8.49)/(g1^11*y) - (g1*t^8.5)/y + t^8.98/(g1^24*y) - (2*t^8.99)/(g1^12*y) - (t^4.*y)/g1^2 - (t^5.49*y)/g1^5 - g1^7*t^5.51*y - (t^5.99*y)/g1^6 - (t^6.98*y)/g1^20 - (2*t^6.99*y)/g1^8 - (t^7.49*y)/g1^9 - g1^3*t^7.5*y - (t^7.99*y)/g1^10 - g1^2*t^8.*y - (t^8.48*y)/g1^23 - (2*t^8.49*y)/g1^11 - g1*t^8.5*y + (t^8.98*y)/g1^24 - (2*t^8.99*y)/g1^12


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
45151 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^2q_1$ 1.7775 1.8711 0.95 [X:[1.33], M:[1.0148, 1.0049, 0.8276], q:[0.5025, 0.4926], qb:[], phi:[0.335]] t^2.48 + 2*t^3.01 + t^3.04 + t^3.49 + 2*t^3.99 + t^4.02 + 2*t^4.97 + t^5. + t^5.02 + 2*t^5.5 + t^5.53 - t^6. - t^4./y - t^5.48/y - t^5.51/y - t^4.*y - t^5.48*y - t^5.51*y detail
45175 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ 1.7839 1.8881 0.9448 [X:[1.3346], M:[0.9944, 0.9981, 0.6692], q:[0.4991, 0.5028], qb:[], phi:[0.3327]] t^2.01 + t^2.98 + 2*t^2.99 + t^3.49 + t^3.5 + 2*t^4. + t^4.01 + 2*t^4.99 + 3*t^5. + t^5.01 + t^5.5 + t^5.51 + t^5.97 + 2*t^5.98 + 2*t^5.99 - t^6. - t^4./y - t^5.5/y - t^5.51/y - t^5.99/y - t^4.*y - t^5.5*y - t^5.51*y - t^5.99*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
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]] 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. - 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