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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
438 SU2adj1nf2 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ 0.7163 0.8881 0.8066 [X:[], M:[0.9996, 0.9212, 1.0004, 0.7481, 0.6689], q:[0.7913, 0.5398], qb:[0.4606, 0.539], phi:[0.4173]] [X:[], M:[[7, 1], [14, 0], [-7, -1], [-6, 0], [15, 1]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_5$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_4\phi_1^2$, $ M_2M_5$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_1M_5$, $ M_1M_4$, $ M_3M_4$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_2^2$ $M_1^2$, $ M_3^2$, $ M_5q_1\tilde{q}_2$ -1 t^2.01 + t^2.24 + t^2.5 + t^2.76 + 2*t^3. + t^3.99 + t^4.01 + t^4.02 + 3*t^4.25 + 4*t^4.49 + t^4.51 + t^4.75 + t^4.77 + 4*t^5.01 + t^5.24 + t^5.25 + t^5.27 + t^5.5 + t^5.51 + t^5.53 - t^6. + 2*t^6.02 - t^6.24 + 3*t^6.26 + 4*t^6.49 + t^6.5 + 2*t^6.52 + 4*t^6.73 + 2*t^6.75 + 2*t^6.78 + 4*t^6.99 + 5*t^7.01 + t^7.02 + 6*t^7.25 + t^7.27 + t^7.48 + 3*t^7.49 + 3*t^7.51 + t^7.53 + 2*t^7.77 - t^7.98 - t^7.99 + t^8. - t^8.01 + 4*t^8.03 - 4*t^8.24 - t^8.25 + 2*t^8.26 + 3*t^8.27 + t^8.29 + 4*t^8.5 + t^8.51 + t^8.52 + t^8.53 + 5*t^8.74 - t^8.76 + t^8.78 + t^8.79 + 3*t^8.97 + 6*t^8.98 - t^4.25/y - t^6.26/y - t^6.5/y - t^6.76/y - t^7.02/y + t^7.25/y + t^7.49/y + t^7.51/y + (2*t^7.75)/y + t^7.77/y + (4*t^8.01)/y + t^8.24/y + (2*t^8.25)/y + t^8.51/y - t^8.74/y + t^8.76/y - t^4.25*y - t^6.26*y - t^6.5*y - t^6.76*y - t^7.02*y + t^7.25*y + t^7.49*y + t^7.51*y + 2*t^7.75*y + t^7.77*y + 4*t^8.01*y + t^8.24*y + 2*t^8.25*y + t^8.51*y - t^8.74*y + t^8.76*y g1^15*g2*t^2.01 + t^2.24/g1^6 + g1^4*t^2.5 + g1^14*t^2.76 + t^3./(g1^7*g2) + g1^7*g2*t^3. + (g2*t^3.99)/g1 + g1^30*g2^2*t^4.01 + g1^16*t^4.02 + t^4.25/(g1^5*g2) + 2*g1^9*g2*t^4.25 + (2*t^4.49)/g1^12 + t^4.49/(g1^26*g2^2) + g1^2*g2^2*t^4.49 + g1^19*g2*t^4.51 + t^4.75/g1^2 + g1^29*g2*t^4.77 + 3*g1^8*t^5.01 + g1^22*g2^2*t^5.01 + g1*g2*t^5.24 + t^5.25/(g1^13*g2) + g1^18*t^5.27 + g1^11*g2*t^5.5 + t^5.51/(g1^3*g2) + g1^28*t^5.53 - 2*t^6. + g1^14*g2^2*t^6. + g1^31*g2*t^6.02 + g1^45*g2^3*t^6.02 - t^6.24/(g1^21*g2) + g1^10*t^6.26 + 2*g1^24*g2^2*t^6.26 + 3*g1^3*g2*t^6.49 + g1^17*g2^3*t^6.49 + t^6.5/(g1^11*g2) + g1^20*t^6.52 + g1^34*g2^2*t^6.52 + (2*t^6.73)/g1^18 + t^6.73/(g1^32*g2^2) + (g2^2*t^6.73)/g1^4 + 2*g1^13*g2*t^6.75 + g1^30*t^6.78 + g1^44*g2^2*t^6.78 + t^6.99/g1^8 + t^6.99/(g1^22*g2^2) + 2*g1^6*g2^2*t^6.99 + 4*g1^23*g2*t^7.01 + g1^37*g2^3*t^7.01 + (g1^9*t^7.02)/g2 + 3*g1^2*t^7.25 + t^7.25/(g1^12*g2^2) + 2*g1^16*g2^2*t^7.25 + g1^33*g2*t^7.27 + g1^9*g2^3*t^7.48 + t^7.49/(g1^33*g2^3) + t^7.49/(g1^19*g2) + (g2*t^7.49)/g1^5 + 2*g1^12*t^7.51 + g1^26*g2^2*t^7.51 + g1^43*g2*t^7.53 + 2*g1^22*t^7.77 - t^7.98/g1^16 - t^7.99/(g1^30*g2^2) + g1^29*g2^3*t^8. - g1^15*g2*t^8.01 + 2*g1^32*t^8.03 + g1^46*g2^2*t^8.03 + g1^60*g2^4*t^8.03 - (4*t^8.24)/g1^6 - t^8.25/(g1^20*g2^2) + 2*g1^39*g2^3*t^8.26 + (g1^11*t^8.27)/g2 + 2*g1^25*g2*t^8.27 + g1^42*t^8.29 - t^8.48/(g1^27*g2) + g1*g2^3*t^8.48 - g1^4*t^8.5 + 4*g1^18*g2^2*t^8.5 + g1^32*g2^4*t^8.5 + t^8.51/(g1^10*g2^2) + g1^49*g2^3*t^8.52 + g1^35*g2*t^8.53 + t^8.74/(g1^31*g2^3) + (2*g2*t^8.74)/g1^3 + 2*g1^11*g2^3*t^8.74 - 3*g1^14*t^8.76 + 2*g1^28*g2^2*t^8.76 + g1^59*g2^3*t^8.78 + g1^45*g2*t^8.79 + (2*g2^2*t^8.97)/g1^10 + g1^4*g2^4*t^8.97 + (3*t^8.98)/g1^24 + t^8.98/(g1^52*g2^4) + (2*t^8.98)/(g1^38*g2^2) - (g1^2*t^4.25)/y - (g1^17*g2*t^6.26)/y - t^6.5/(g1^4*y) - (g1^6*t^6.76)/y - (g1^16*t^7.02)/y + (g1^9*g2*t^7.25)/y + t^7.49/(g1^12*y) + (g1^19*g2*t^7.51)/y + (2*t^7.75)/(g1^2*y) + (g1^29*g2*t^7.77)/y + (3*g1^8*t^8.01)/y + (g1^22*g2^2*t^8.01)/y + (g1*g2*t^8.24)/y + (2*t^8.25)/(g1^13*g2*y) + (g1^18*t^8.27)/y - (g1^32*g2^2*t^8.27)/y + t^8.51/(g1^3*g2*y) - t^8.74/(g1^10*y) + (g1^7*t^8.76)/(g2*y) - g1^2*t^4.25*y - g1^17*g2*t^6.26*y - (t^6.5*y)/g1^4 - g1^6*t^6.76*y - g1^16*t^7.02*y + g1^9*g2*t^7.25*y + (t^7.49*y)/g1^12 + g1^19*g2*t^7.51*y + (2*t^7.75*y)/g1^2 + g1^29*g2*t^7.77*y + 3*g1^8*t^8.01*y + g1^22*g2^2*t^8.01*y + g1*g2*t^8.24*y + (2*t^8.25*y)/(g1^13*g2) + g1^18*t^8.27*y - g1^32*g2^2*t^8.27*y + (t^8.51*y)/(g1^3*g2) - (t^8.74*y)/g1^10 + (g1^7*t^8.76*y)/g2


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
732 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_1M_4$ 0.651 0.8164 0.7974 [X:[], M:[1.1768, 0.7458, 0.8232, 0.8232, 0.7458], q:[0.8039, 0.4503], qb:[0.3729, 0.8039], phi:[0.3923]] 2*t^2.24 + t^2.35 + 2*t^2.47 + t^3.41 + t^3.53 + t^3.65 + t^3.88 + 3*t^4.47 + 2*t^4.59 + 5*t^4.71 + 3*t^4.82 + 3*t^4.94 + 2*t^5.65 + 2*t^5.77 + 3*t^5.88 - t^4.18/y - t^4.18*y detail
731 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ 0.6462 0.7871 0.821 [X:[1.3527], M:[1.0402, 1.1562, 0.9598, 0.6473, 0.8438], q:[0.7746, 0.3817], qb:[0.5781, 0.4621], phi:[0.4509]] t^2.53 + t^2.71 + t^2.88 + t^3.12 + t^3.47 + t^3.64 + t^3.71 + t^3.88 + t^4.06 + t^4.13 + t^4.23 + t^4.47 + t^4.82 + t^5.06 + t^5.24 + t^5.41 + t^5.58 + t^5.83 - t^6. - t^4.35/y - t^4.35*y detail
733 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_6q_1\tilde{q}_2$ 0.7372 0.9296 0.793 [X:[], M:[1.0, 0.9207, 1.0, 0.7483, 0.669, 0.669], q:[0.7914, 0.5397], qb:[0.4603, 0.5397], phi:[0.4172]] 2*t^2.01 + t^2.24 + t^2.5 + t^2.76 + 2*t^3. + 4*t^4.01 + 4*t^4.25 + 4*t^4.49 + 2*t^4.51 + t^4.75 + 2*t^4.77 + 6*t^5.01 + 2*t^5.24 + t^5.27 + 2*t^5.5 + t^5.52 - 2*t^6. - t^4.25/y - t^4.25*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
269 SU2adj1nf2 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ 0.6955 0.8466 0.8215 [X:[], M:[1.0, 0.9217, 1.0, 0.7479], q:[0.7913, 0.5392], qb:[0.4608, 0.5392], phi:[0.4174]] t^2.24 + t^2.5 + t^2.76 + 2*t^3. + 2*t^3.99 + t^4.02 + 2*t^4.25 + 4*t^4.49 + t^4.75 + 2*t^5.01 + 2*t^5.24 + t^5.27 + 2*t^5.5 + t^5.53 - 2*t^6. - t^4.25/y - t^4.25*y detail