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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
45239 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ + $ q_1^3q_2$ 1.8129 1.9374 0.9357 [X:[], M:[0.8244, 1.0228, 0.8397], q:[0.5038, 0.4886], qb:[], phi:[0.3359]] [X:[], M:[[7], [-18], [-5]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ M_1$, $ M_3$, $ q_1q_2$, $ q_1^2$, $ M_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_1M_3$, $ \phi_1^2q_1q_2$, $ M_3^2$, $ \phi_1^2q_1^2$, $ M_2\phi_1^2$, $ M_1q_1q_2$, $ M_1q_1^2$, $ M_3q_1q_2$, $ M_1M_2$, $ M_3q_1^2$, $ M_2M_3$ $2\phi_1^3q_1q_2$ 1 t^2.02 + t^2.47 + t^2.52 + t^2.98 + t^3.02 + t^3.07 + t^3.98 + 2*t^4.03 + t^4.49 + t^4.53 + 2*t^4.95 + 3*t^4.99 + 3*t^5.04 + t^5.08 + t^5.45 + 2*t^5.5 + 2*t^5.54 + t^5.59 + t^6. + 3*t^6.05 + t^6.09 + t^6.14 + t^6.46 + 2*t^6.5 + t^6.55 + 2*t^6.96 + 4*t^7.01 + 4*t^7.05 + 2*t^7.1 + 2*t^7.42 + 4*t^7.47 + 5*t^7.51 + 4*t^7.56 + t^7.6 + 2*t^7.92 + 3*t^7.97 + 7*t^8.02 + 7*t^8.06 + 3*t^8.11 + t^8.15 + 2*t^8.52 + 3*t^8.56 + 2*t^8.61 + t^8.66 + t^8.93 + 2*t^8.98 - t^4.01/y - t^5.47/y - t^5.52/y - (2*t^6.02)/y - t^6.48/y - t^6.53/y - t^6.98/y - t^7.03/y - t^7.08/y - t^7.95/y - (3*t^8.04)/y + t^8.08/y - t^8.5/y - t^8.54/y - t^8.95/y - t^4.01*y - t^5.47*y - t^5.52*y - 2*t^6.02*y - t^6.48*y - t^6.53*y - t^6.98*y - t^7.03*y - t^7.08*y - t^7.95*y - 3*t^8.04*y + t^8.08*y - t^8.5*y - t^8.54*y - t^8.95*y t^2.02/g1^4 + g1^7*t^2.47 + t^2.52/g1^5 + g1^6*t^2.98 + t^3.02/g1^6 + t^3.07/g1^18 + g1^4*t^3.98 + (2*t^4.03)/g1^8 + g1^3*t^4.49 + t^4.53/g1^9 + 2*g1^14*t^4.95 + 3*g1^2*t^4.99 + (3*t^5.04)/g1^10 + t^5.08/g1^22 + g1^13*t^5.45 + 2*g1*t^5.5 + (2*t^5.54)/g1^11 + t^5.59/g1^23 + t^6. + (3*t^6.05)/g1^12 + t^6.09/g1^24 + t^6.14/g1^36 + g1^11*t^6.46 + (2*t^6.5)/g1 + t^6.55/g1^13 + 2*g1^10*t^6.96 + (4*t^7.01)/g1^2 + (4*t^7.05)/g1^14 + (2*t^7.1)/g1^26 + 2*g1^21*t^7.42 + 4*g1^9*t^7.47 + (5*t^7.51)/g1^3 + (4*t^7.56)/g1^15 + t^7.6/g1^27 + 2*g1^20*t^7.92 + 3*g1^8*t^7.97 + (7*t^8.02)/g1^4 + (7*t^8.06)/g1^16 + (3*t^8.11)/g1^28 + t^8.15/g1^40 + (2*t^8.52)/g1^5 + (3*t^8.56)/g1^17 + (2*t^8.61)/g1^29 + t^8.66/g1^41 + g1^18*t^8.93 + 2*g1^6*t^8.98 - t^4.01/(g1^2*y) - (g1^7*t^5.47)/y - t^5.52/(g1^5*y) - (2*t^6.02)/(g1^6*y) - (g1^5*t^6.48)/y - t^6.53/(g1^7*y) - (g1^4*t^6.98)/y - t^7.03/(g1^8*y) - t^7.08/(g1^20*y) - (g1^14*t^7.95)/y - (3*t^8.04)/(g1^10*y) + t^8.08/(g1^22*y) - (g1*t^8.5)/y - t^8.54/(g1^11*y) - (g1^12*t^8.95)/y - (t^4.01*y)/g1^2 - g1^7*t^5.47*y - (t^5.52*y)/g1^5 - (2*t^6.02*y)/g1^6 - g1^5*t^6.48*y - (t^6.53*y)/g1^7 - g1^4*t^6.98*y - (t^7.03*y)/g1^8 - (t^7.08*y)/g1^20 - g1^14*t^7.95*y - (3*t^8.04*y)/g1^10 + (t^8.08*y)/g1^22 - g1*t^8.5*y - (t^8.54*y)/g1^11 - g1^12*t^8.95*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
45265 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ + $ q_1^3q_2$ + $ M_4\phi_1q_1q_2$ 1.8337 1.9787 0.9267 [X:[], M:[0.8246, 1.0224, 0.8396, 0.6716], q:[0.5037, 0.4888], qb:[], phi:[0.3358]] 2*t^2.01 + t^2.47 + t^2.52 + t^2.98 + t^3.02 + t^3.07 + 4*t^4.03 + 2*t^4.49 + 2*t^4.53 + 2*t^4.95 + 4*t^4.99 + 4*t^5.04 + 2*t^5.08 + t^5.45 + 2*t^5.5 + 2*t^5.54 + t^5.59 - t^4.01/y - t^5.47/y - t^5.52/y - t^4.01*y - t^5.47*y - t^5.52*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
45008 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ 1.8259 1.9584 0.9324 [X:[], M:[0.8386, 1.044, 0.8008], q:[0.4402, 0.478], qb:[], phi:[0.3606]] t^2.16 + t^2.4 + t^2.52 + t^2.64 + t^2.75 + t^3.13 + t^3.84 + 2*t^4.33 + t^4.57 + t^4.68 + 3*t^4.8 + 3*t^4.92 + 2*t^5.03 + t^5.04 + 2*t^5.16 + t^5.27 + t^5.28 + t^5.3 + t^5.4 + t^5.51 + t^5.53 + t^5.65 + t^5.77 - t^4.08/y - t^5.4/y - t^5.52/y - t^4.08*y - t^5.4*y - t^5.52*y detail
45066 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ 1.7896 1.8921 0.9458 [X:[], M:[0.8313, 1.0608, 1.2766], q:[0.4452, 0.4696], qb:[], phi:[0.3617]] t^2.49 + t^2.67 + t^2.74 + t^3.18 + t^3.58 + 2*t^3.83 + t^4.34 + t^4.84 + t^4.91 + 2*t^4.99 + t^5.17 + t^5.24 + t^5.34 + t^5.42 + t^5.49 + t^5.68 + t^5.85 - t^6. - t^4.09/y - t^5.42/y - t^5.49/y - t^4.09*y - t^5.42*y - t^5.49*y detail