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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
46774 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ M_2M_5$ 0.7096 0.8749 0.811 [X:[], M:[0.9169, 1.0831, 1.0, 0.8338, 0.9169], q:[0.4765, 0.6066], qb:[0.4404, 0.5596], phi:[0.4792]] [X:[], M:[[-4, -4], [4, 4], [0, 0], [-8, -8], [-4, -4]], q:[[-4, 4], [8, 0]], qb:[[0, -8], [0, 8]], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_1^2$, $ M_3M_4$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_3$, $ M_3M_5$, $ \phi_1^4$, $ M_5q_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$ . -3 t^2.5 + 2*t^2.75 + t^2.88 + t^3. + t^3.11 + t^3.14 + t^4.08 + t^4.19 + t^4.3 + t^4.44 + t^4.55 + t^4.58 + t^4.69 + t^4.8 + t^4.94 + t^5. + t^5.08 + 2*t^5.25 + t^5.38 + 3*t^5.5 + 2*t^5.63 + 2*t^5.75 + t^5.86 + t^5.88 + t^5.89 + t^5.98 - 3*t^6. + t^6.02 + t^6.22 - t^6.25 + t^6.28 - t^6.36 - t^6.39 - t^6.5 + t^6.58 + t^6.69 + t^6.8 + 2*t^6.83 + 2*t^6.94 + t^6.96 + 2*t^7.05 + t^7.06 + t^7.08 + t^7.17 + 3*t^7.19 - t^7.2 + t^7.22 + 3*t^7.3 + t^7.33 + t^7.41 + t^7.44 + t^7.45 + t^7.5 + 2*t^7.55 + t^7.58 + t^7.65 + t^7.69 - t^7.7 + t^7.72 + 2*t^7.75 + t^7.83 + t^7.88 + t^7.9 - t^7.92 + t^7.95 + 3*t^8. - t^8.06 + t^8.08 + 2*t^8.13 + t^8.16 - t^8.2 + t^8.22 + 4*t^8.25 + t^8.27 + 4*t^8.38 - t^8.39 + t^8.49 + t^8.52 + t^8.59 + 3*t^8.63 + t^8.66 + 2*t^8.73 - 7*t^8.75 + 2*t^8.77 + t^8.84 - t^8.86 - t^8.88 + t^8.97 + 2*t^8.98 - t^4.44/y - t^6.94/y - t^7.19/y - t^7.31/y + t^7.56/y + t^7.69/y + t^7.94/y + (2*t^8.25)/y + t^8.38/y + (2*t^8.5)/y + t^8.61/y + (2*t^8.63)/y + t^8.64/y + (2*t^8.75)/y + (2*t^8.86)/y + t^8.88/y + (2*t^8.89)/y + t^8.98/y - t^4.44*y - t^6.94*y - t^7.19*y - t^7.31*y + t^7.56*y + t^7.69*y + t^7.94*y + 2*t^8.25*y + t^8.38*y + 2*t^8.5*y + t^8.61*y + 2*t^8.63*y + t^8.64*y + 2*t^8.75*y + 2*t^8.86*y + t^8.88*y + 2*t^8.89*y + t^8.98*y t^2.5/(g1^8*g2^8) + (2*t^2.75)/(g1^4*g2^4) + t^2.88/(g1^2*g2^2) + t^3. + (g2^12*t^3.11)/g1^4 + (g1^8*t^3.14)/g2^8 + t^4.08/(g1*g2^17) + t^4.19/(g1^5*g2^5) + (g2^7*t^4.3)/g1^9 + t^4.44/(g1*g2) + (g2^11*t^4.55)/g1^5 + (g1^7*t^4.58)/g2^9 + g1^3*g2^3*t^4.69 + (g2^15*t^4.8)/g1 + g1^7*g2^7*t^4.94 + t^5./(g1^16*g2^16) + (g1^15*t^5.08)/g2 + (2*t^5.25)/(g1^12*g2^12) + t^5.38/(g1^10*g2^10) + (3*t^5.5)/(g1^8*g2^8) + (2*t^5.63)/(g1^6*g2^6) + (2*t^5.75)/(g1^4*g2^4) + (g2^8*t^5.86)/g1^8 + t^5.88/(g1^2*g2^2) + (g1^4*t^5.89)/g2^12 + (g2^10*t^5.98)/g1^6 - 3*t^6. + (g1^6*t^6.02)/g2^10 + (g2^24*t^6.22)/g1^8 - g1^4*g2^4*t^6.25 + (g1^16*t^6.28)/g2^16 - g2^16*t^6.36 - (g1^12*t^6.39)/g2^4 - g1^8*g2^8*t^6.5 + t^6.58/(g1^9*g2^25) + t^6.69/(g1^13*g2^13) + t^6.8/(g1^17*g2) + (2*t^6.83)/(g1^5*g2^21) + (2*t^6.94)/(g1^9*g2^9) + t^6.96/(g1^3*g2^19) + (2*g2^3*t^7.05)/g1^13 + t^7.06/(g1^7*g2^7) + t^7.08/(g1*g2^17) + (g2^5*t^7.17)/g1^11 + (3*t^7.19)/(g1^5*g2^5) - (g1*t^7.2)/g2^15 + (g1^7*t^7.22)/g2^25 + (3*g2^7*t^7.3)/g1^9 + (g1^3*t^7.33)/g2^13 + (g2^19*t^7.41)/g1^13 + t^7.44/(g1*g2) + (g1^5*t^7.45)/g2^11 + t^7.5/(g1^24*g2^24) + (2*g2^11*t^7.55)/g1^5 + (g1^7*t^7.58)/g2^9 + (g2^23*t^7.65)/g1^9 + g1^3*g2^3*t^7.69 - (g1^9*t^7.7)/g2^7 + (g1^15*t^7.72)/g2^17 + (2*t^7.75)/(g1^20*g2^20) + (g1^11*t^7.83)/g2^5 + t^7.88/(g1^18*g2^18) + (g2^27*t^7.9)/g1^5 - g1*g2^17*t^7.92 + (g1^13*t^7.95)/g2^3 + (3*t^8.)/(g1^16*g2^16) - g1^9*g2^9*t^8.06 + (g1^15*t^8.08)/g2 + (2*t^8.13)/(g1^14*g2^14) + t^8.16/(g1^2*g2^34) - g1^17*g2*t^8.2 + (g1^23*t^8.22)/g2^9 + (4*t^8.25)/(g1^12*g2^12) + t^8.27/(g1^6*g2^22) + (4*t^8.38)/(g1^10*g2^10) - t^8.39/(g1^4*g2^20) + (g2^2*t^8.49)/g1^14 + t^8.52/(g1^2*g2^18) + (g2^14*t^8.59)/g1^18 + (3*t^8.63)/(g1^6*g2^6) + (g1^6*t^8.66)/g2^26 + (2*g2^6*t^8.73)/g1^10 - (7*t^8.75)/(g1^4*g2^4) + (2*g1^2*t^8.77)/g2^14 + (g2^18*t^8.84)/g1^14 - (g2^8*t^8.86)/g1^8 - t^8.88/(g1^2*g2^2) + (g2^20*t^8.97)/g1^12 + (2*g2^10*t^8.98)/g1^6 - t^4.44/(g1*g2*y) - t^6.94/(g1^9*g2^9*y) - t^7.19/(g1^5*g2^5*y) - t^7.31/(g1^3*g2^3*y) + (g1*g2*t^7.56)/y + (g1^3*g2^3*t^7.69)/y + (g1^7*g2^7*t^7.94)/y + (2*t^8.25)/(g1^12*g2^12*y) + t^8.38/(g1^10*g2^10*y) + (2*t^8.5)/(g1^8*g2^8*y) + (g2^4*t^8.61)/(g1^12*y) + (2*t^8.63)/(g1^6*g2^6*y) + t^8.64/(g2^16*y) + (2*t^8.75)/(g1^4*g2^4*y) + (2*g2^8*t^8.86)/(g1^8*y) + t^8.88/(g1^2*g2^2*y) + (2*g1^4*t^8.89)/(g2^12*y) + (g2^10*t^8.98)/(g1^6*y) - (t^4.44*y)/(g1*g2) - (t^6.94*y)/(g1^9*g2^9) - (t^7.19*y)/(g1^5*g2^5) - (t^7.31*y)/(g1^3*g2^3) + g1*g2*t^7.56*y + g1^3*g2^3*t^7.69*y + g1^7*g2^7*t^7.94*y + (2*t^8.25*y)/(g1^12*g2^12) + (t^8.38*y)/(g1^10*g2^10) + (2*t^8.5*y)/(g1^8*g2^8) + (g2^4*t^8.61*y)/g1^12 + (2*t^8.63*y)/(g1^6*g2^6) + (t^8.64*y)/g2^16 + (2*t^8.75*y)/(g1^4*g2^4) + (2*g2^8*t^8.86*y)/g1^8 + (t^8.88*y)/(g1^2*g2^2) + (2*g1^4*t^8.89*y)/g2^12 + (g2^10*t^8.98*y)/g1^6


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
46918 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ M_2M_5$ + $ M_5q_1\tilde{q}_2$ 0.708 0.8725 0.8115 [X:[], M:[0.9246, 1.0754, 1.0, 0.8491, 0.9246], q:[0.5, 0.5754], qb:[0.4246, 0.5754], phi:[0.4811]] t^2.55 + 2*t^2.77 + t^2.89 + 2*t^3. + t^3.23 + t^3.99 + t^4.22 + 3*t^4.44 + 2*t^4.67 + 3*t^4.9 + t^5.09 + 2*t^5.32 + t^5.43 + 3*t^5.55 + 2*t^5.66 + 3*t^5.77 + 2*t^5.89 - t^6. - t^4.44/y - t^4.44*y detail
46898 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ 0.7086 0.8735 0.8112 [X:[], M:[0.9207, 1.0793, 1.0, 0.8413, 0.9207], q:[0.4603, 0.619], qb:[0.4603, 0.5397], phi:[0.4802]] t^2.52 + 2*t^2.76 + t^2.88 + 2*t^3. + t^3.24 + 3*t^4.2 + 2*t^4.44 + 3*t^4.68 + t^4.92 + t^5.05 + t^5.15 + 2*t^5.29 + t^5.4 + 3*t^5.52 + 2*t^5.64 + 3*t^5.76 + 2*t^5.88 - t^6. - t^4.44/y - t^4.44*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
46091 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ 0.7027 0.862 0.8151 [X:[], M:[0.9335, 1.0665, 1.0, 0.867], q:[0.4817, 0.5848], qb:[0.4519, 0.5481], phi:[0.4834]] t^2.6 + t^2.8 + t^2.9 + t^3. + t^3.09 + t^3.11 + t^3.2 + t^4.16 + t^4.25 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.74 + t^4.85 + t^4.96 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 + t^5.99 - 2*t^6. - t^4.45/y - t^4.45*y detail