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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
45131 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ M_3q_1^2$ + $ \phi_1^2X_1$ 1.7601 1.8504 0.9512 [X:[1.3379], M:[0.8874, 0.8874, 1.0988], q:[0.4506, 0.5563], qb:[], phi:[0.331]] [X:[[6]], M:[[-2], [-2], [-16]], q:[[8], [1]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ M_2$, $ q_1q_2$, $ M_3$, $ \phi_1^2q_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ \phi_1^2q_2^2$, $ M_2q_1q_2$, $ M_1M_3$, $ M_2M_3$ $\phi_1^3q_1q_2$ -1 2*t^2.66 + t^3.02 + t^3.3 + t^3.66 + t^3.97 + 2*t^4.01 + t^4.69 + t^5.01 + 4*t^5.32 + t^5.68 + 2*t^5.96 - t^6. + t^6.04 + t^6.32 + t^6.59 + t^6.63 + 4*t^6.68 + t^6.95 + 2*t^7.03 + t^7.27 + 2*t^7.31 + 2*t^7.35 + t^7.63 + 3*t^7.67 + t^7.71 + t^7.94 + 8*t^7.99 + 3*t^8.03 + 2*t^8.34 + 4*t^8.62 - 2*t^8.66 + 2*t^8.7 + 2*t^8.98 - t^3.99/y - t^5.34/y - t^5.66/y - t^5.98/y - (2*t^6.66)/y - t^7.01/y - t^7.29/y - t^7.65/y - t^7.97/y - (3*t^8.01)/y - t^8.37/y - (2*t^8.64)/y + t^8.68/y + t^8.96/y - t^3.99*y - t^5.34*y - t^5.66*y - t^5.98*y - 2*t^6.66*y - t^7.01*y - t^7.29*y - t^7.65*y - t^7.97*y - 3*t^8.01*y - t^8.37*y - 2*t^8.64*y + t^8.68*y + t^8.96*y (2*t^2.66)/g1^2 + g1^9*t^3.02 + t^3.3/g1^16 + t^3.66/g1^5 + t^3.97/g1^12 + 2*g1^6*t^4.01 + g1^10*t^4.69 + g1^3*t^5.01 + (4*t^5.32)/g1^4 + g1^7*t^5.68 + (2*t^5.96)/g1^18 - t^6. + g1^18*t^6.04 + t^6.32/g1^7 + t^6.59/g1^32 + t^6.63/g1^14 + 4*g1^4*t^6.68 + t^6.95/g1^21 + 2*g1^15*t^7.03 + t^7.27/g1^28 + (2*t^7.31)/g1^10 + 2*g1^8*t^7.35 + t^7.63/g1^17 + 3*g1*t^7.67 + g1^19*t^7.71 + t^7.94/g1^24 + (8*t^7.99)/g1^6 + 3*g1^12*t^8.03 + 2*g1^5*t^8.34 + (4*t^8.62)/g1^20 - (2*t^8.66)/g1^2 + 2*g1^16*t^8.7 + (2*t^8.98)/g1^9 - t^3.99/(g1^3*y) - (g1^5*t^5.34)/y - t^5.66/(g1^2*y) - t^5.98/(g1^9*y) - (2*t^6.66)/(g1^5*y) - (g1^6*t^7.01)/y - t^7.29/(g1^19*y) - t^7.65/(g1^8*y) - t^7.97/(g1^15*y) - (3*g1^3*t^8.01)/y - (g1^14*t^8.37)/y - (2*t^8.64)/(g1^11*y) + (g1^7*t^8.68)/y + t^8.96/(g1^18*y) - (t^3.99*y)/g1^3 - g1^5*t^5.34*y - (t^5.66*y)/g1^2 - (t^5.98*y)/g1^9 - (2*t^6.66*y)/g1^5 - g1^6*t^7.01*y - (t^7.29*y)/g1^19 - (t^7.65*y)/g1^8 - (t^7.97*y)/g1^15 - 3*g1^3*t^8.01*y - g1^14*t^8.37*y - (2*t^8.64*y)/g1^11 + g1^7*t^8.68*y + (t^8.96*y)/g1^18


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
45368 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ M_3q_1^2$ + $ \phi_1^2X_1$ + $ M_4\phi_1^4$ 1.7809 1.8916 0.9415 [X:[1.3371], M:[0.8876, 0.8876, 1.1012, 0.6741], q:[0.4494, 0.5562], qb:[], phi:[0.3315]] t^2.02 + 2*t^2.66 + t^3.02 + t^3.3 + t^3.66 + 2*t^4.01 + t^4.04 + 3*t^4.69 + t^5.01 + t^5.04 + 5*t^5.33 + 2*t^5.68 + 2*t^5.97 - t^6. - t^3.99/y - t^5.34/y - t^5.66/y - t^5.98/y - t^3.99*y - t^5.34*y - t^5.66*y - t^5.98*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
45092 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ 1.7923 1.9121 0.9373 [X:[], M:[0.8941, 0.8941], q:[0.4236, 0.5529], qb:[], phi:[0.3412]] t^2.05 + t^2.54 + 2*t^2.68 + t^2.93 + t^3.71 + t^3.95 + 2*t^4.09 + 2*t^4.59 + 2*t^4.73 + 2*t^4.98 + t^5.08 + 2*t^5.22 + 4*t^5.36 + t^5.47 + t^5.61 + t^5.75 + t^5.86 - t^4.02/y - t^5.29/y - t^5.68/y - t^4.02*y - t^5.29*y - t^5.68*y detail