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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
45137 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1q_1q_2$ 1.8199 1.9547 0.9311 [X:[], M:[1.0371, 0.8189, 0.6749], q:[0.5062, 0.4815], qb:[], phi:[0.3375]] [X:[], M:[[-18], [7], [-4]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_3$, $ \phi_1^2$, $ M_2$, $ q_1q_2$, $ q_1^2$, $ M_1$, $ \phi_1^2q_2$, $ M_3^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ M_2M_3$, $ M_2\phi_1^2$, $ M_2^2$, $ \phi_1^2q_2^2$, $ M_3q_1q_2$, $ \phi_1^2q_1q_2$, $ M_3q_1^2$, $ \phi_1^2q_1^2$, $ M_1M_3$, $ M_1\phi_1^2$, $ M_2q_1q_2$, $ M_2q_1^2$, $ M_3\phi_1^2q_2$, $ \phi_1^4q_2$, $ M_1M_2$, $ M_2\phi_1^2q_2$ $\phi_1^3q_1q_2$ 0 2*t^2.02 + t^2.46 + t^2.96 + t^3.04 + t^3.11 + t^3.47 + 4*t^4.05 + 2*t^4.48 + 2*t^4.91 + 3*t^4.99 + 3*t^5.06 + 2*t^5.14 + t^5.42 + 3*t^5.49 + t^5.57 + t^5.93 + 7*t^6.07 + t^6.15 + t^6.22 + t^6.43 + 4*t^6.51 + 4*t^6.94 + 5*t^7.01 + 5*t^7.09 + 4*t^7.16 + 2*t^7.37 + 3*t^7.44 + 7*t^7.52 + 2*t^7.59 + 2*t^7.88 + 3*t^7.95 + 3*t^8.02 + 12*t^8.1 + 3*t^8.17 + 2*t^8.25 + 2*t^8.38 + 2*t^8.46 + 7*t^8.53 + t^8.61 + t^8.68 + 5*t^8.96 - t^4.01/y - t^5.46/y - t^5.53/y - (3*t^6.04)/y - t^6.47/y - t^6.98/y - t^7.12/y - t^7.48/y - (2*t^7.56)/y - t^7.91/y + (2*t^7.99)/y - (4*t^8.06)/y + (2*t^8.14)/y - t^8.49/y - t^8.64/y - t^8.93/y - t^4.01*y - t^5.46*y - t^5.53*y - 3*t^6.04*y - t^6.47*y - t^6.98*y - t^7.12*y - t^7.48*y - 2*t^7.56*y - t^7.91*y + 2*t^7.99*y - 4*t^8.06*y + 2*t^8.14*y - t^8.49*y - t^8.64*y - t^8.93*y (2*t^2.02)/g1^4 + g1^7*t^2.46 + g1^6*t^2.96 + t^3.04/g1^6 + t^3.11/g1^18 + g1^5*t^3.47 + (4*t^4.05)/g1^8 + 2*g1^3*t^4.48 + 2*g1^14*t^4.91 + 3*g1^2*t^4.99 + (3*t^5.06)/g1^10 + (2*t^5.14)/g1^22 + g1^13*t^5.42 + 3*g1*t^5.49 + t^5.57/g1^11 + g1^12*t^5.93 + (7*t^6.07)/g1^12 + t^6.15/g1^24 + t^6.22/g1^36 + g1^11*t^6.43 + (4*t^6.51)/g1 + 4*g1^10*t^6.94 + (5*t^7.01)/g1^2 + (5*t^7.09)/g1^14 + (4*t^7.16)/g1^26 + 2*g1^21*t^7.37 + 3*g1^9*t^7.44 + (7*t^7.52)/g1^3 + (2*t^7.59)/g1^15 + 2*g1^20*t^7.88 + 3*g1^8*t^7.95 + (3*t^8.02)/g1^4 + (12*t^8.1)/g1^16 + (3*t^8.17)/g1^28 + (2*t^8.25)/g1^40 + 2*g1^19*t^8.38 + 2*g1^7*t^8.46 + (7*t^8.53)/g1^5 + t^8.61/g1^17 + t^8.68/g1^29 + 5*g1^6*t^8.96 - t^4.01/(g1^2*y) - (g1^7*t^5.46)/y - t^5.53/(g1^5*y) - (3*t^6.04)/(g1^6*y) - (g1^5*t^6.47)/y - (g1^4*t^6.98)/y - t^7.12/(g1^20*y) - (g1^3*t^7.48)/y - (2*t^7.56)/(g1^9*y) - (g1^14*t^7.91)/y + (2*g1^2*t^7.99)/y - (4*t^8.06)/(g1^10*y) + (2*t^8.14)/(g1^22*y) - (g1*t^8.49)/y - t^8.64/(g1^23*y) - (g1^12*t^8.93)/y - (t^4.01*y)/g1^2 - g1^7*t^5.46*y - (t^5.53*y)/g1^5 - (3*t^6.04*y)/g1^6 - g1^5*t^6.47*y - g1^4*t^6.98*y - (t^7.12*y)/g1^20 - g1^3*t^7.48*y - (2*t^7.56*y)/g1^9 - g1^14*t^7.91*y + 2*g1^2*t^7.99*y - (4*t^8.06*y)/g1^10 + (2*t^8.14*y)/g1^22 - g1*t^8.49*y - (t^8.64*y)/g1^23 - g1^12*t^8.93*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
45284 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1q_1q_2$ + $ M_4q_1^2$ 1.8215 1.9571 0.9307 [X:[], M:[1.0601, 0.81, 0.68, 0.98], q:[0.51, 0.4699], qb:[], phi:[0.34]] 2*t^2.04 + t^2.43 + 2*t^2.94 + t^3.18 + t^3.45 + 4*t^4.08 + 2*t^4.47 + 2*t^4.86 + 5*t^4.98 + t^5.1 + 2*t^5.22 + 2*t^5.37 + 2*t^5.49 + t^5.61 + 3*t^5.88 - t^6. - t^4.02/y - t^5.43/y - t^5.55/y - t^4.02*y - t^5.43*y - t^5.55*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
45056 SO5adj1nf2 $q_1^3q_2$ + $ 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
45043 SO5adj1nf2 $q_1^3q_2$ + $ 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