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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
1026 SU2adj1nf2 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ 0.683 0.8286 0.8242 [X:[], M:[0.9994, 1.1648, 0.9231, 1.0006, 0.7472, 0.6698, 1.2528], q:[0.7912, 0.539], qb:[0.4615, 0.5379], phi:[0.4176]] [X:[], M:[[7, 1], [-4, 0], [14, 0], [-7, -1], [-6, 0], [15, 1], [6, 0]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_6$, $ M_3$, $ M_4$, $ M_1$, $ M_2$, $ M_7$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ M_3M_6$, $ M_4M_6$, $ M_1M_6$, $ M_2M_6$, $ M_3^2$, $ M_1M_3$, $ M_6M_7$ $M_1^2$, $ M_4^2$, $ M_6q_1\tilde{q}_2$ -1 t^2.01 + t^2.77 + 2*t^3. + t^3.49 + t^3.76 + t^3.99 + 2*t^4.02 + 2*t^4.25 + 2*t^4.48 + t^4.49 + t^4.78 + 2*t^5.01 + t^5.5 + t^5.54 + t^5.77 - t^6. + 2*t^6.03 - 2*t^6.23 + 2*t^6.26 + 2*t^6.49 + t^6.5 + t^6.53 + t^6.76 + 2*t^6.79 + t^6.99 + 4*t^7.02 + 2*t^7.25 + t^7.26 + 2*t^7.48 + t^7.49 + t^7.51 + t^7.52 + t^7.55 + t^7.75 + 2*t^7.78 + t^7.97 + 3*t^8.04 - t^8.24 + 3*t^8.27 + t^8.28 + t^8.31 + t^8.47 + 3*t^8.5 + 2*t^8.51 + t^8.54 + t^8.73 + t^8.74 - 2*t^8.77 + 2*t^8.8 + 2*t^8.96 + 3*t^8.97 + t^8.99 - t^4.25/y - t^6.26/y - t^7.02/y + t^7.48/y + t^7.78/y + (2*t^8.01)/y + t^8.24/y - t^8.27/y + t^8.5/y + (3*t^8.77)/y - t^4.25*y - t^6.26*y - t^7.02*y + t^7.48*y + t^7.78*y + 2*t^8.01*y + t^8.24*y - t^8.27*y + t^8.5*y + 3*t^8.77*y g1^15*g2*t^2.01 + g1^14*t^2.77 + t^3./(g1^7*g2) + g1^7*g2*t^3. + t^3.49/g1^4 + g1^6*t^3.76 + (g2*t^3.99)/g1 + g1^16*t^4.02 + g1^30*g2^2*t^4.02 + t^4.25/(g1^5*g2) + g1^9*g2*t^4.25 + t^4.48/g1^12 + g1^2*g2^2*t^4.48 + t^4.49/(g1^26*g2^2) + g1^29*g2*t^4.78 + g1^8*t^5.01 + g1^22*g2^2*t^5.01 + g1^11*g2*t^5.5 + g1^28*t^5.54 + g1^21*g2*t^5.77 - 2*t^6. + g1^14*g2^2*t^6. + g1^31*g2*t^6.03 + g1^45*g2^3*t^6.03 - t^6.23/(g1^21*g2) - (g2*t^6.23)/g1^7 + g1^10*t^6.26 + g1^24*g2^2*t^6.26 + g1^3*g2*t^6.49 + g1^17*g2^3*t^6.49 + t^6.5/(g1^11*g2) + g1^20*t^6.53 + g1^13*g2*t^6.76 + g1^30*t^6.79 + g1^44*g2^2*t^6.79 + g1^6*g2^2*t^6.99 + (g1^9*t^7.02)/g2 + 2*g1^23*g2*t^7.02 + g1^37*g2^3*t^7.02 + g1^2*t^7.25 + g1^16*g2^2*t^7.25 + t^7.26/(g1^12*g2^2) + (g2*t^7.48)/g1^5 + g1^9*g2^3*t^7.48 + t^7.49/(g1^33*g2^3) + g1^26*g2^2*t^7.51 + g1^12*t^7.52 + g1^43*g2*t^7.55 + g1^5*g2*t^7.75 + g1^22*t^7.78 + g1^36*g2^2*t^7.78 + (g2^2*t^7.97)/g1^2 - g1^15*g2*t^8.01 + g1^29*g2^3*t^8.01 + g1^32*t^8.04 + g1^46*g2^2*t^8.04 + g1^60*g2^4*t^8.04 - t^8.24/g1^6 + 2*g1^25*g2*t^8.27 + g1^39*g2^3*t^8.27 + (g1^11*t^8.28)/g2 + g1^42*t^8.31 + g1*g2^3*t^8.47 + 2*g1^18*g2^2*t^8.5 + g1^32*g2^4*t^8.5 + g1^4*t^8.51 + t^8.51/(g1^10*g2^2) + g1^35*g2*t^8.54 + g1^11*g2^3*t^8.73 + t^8.74/(g1^31*g2^3) - 3*g1^14*t^8.77 + g1^28*g2^2*t^8.77 + g1^45*g2*t^8.8 + g1^59*g2^3*t^8.8 + (g2^2*t^8.96)/g1^10 + g1^4*g2^4*t^8.96 + t^8.97/g1^24 + t^8.97/(g1^52*g2^4) + t^8.97/(g1^38*g2^2) + g1^21*g2^3*t^8.99 - (g1^2*t^4.25)/y - (g1^17*g2*t^6.26)/y - (g1^16*t^7.02)/y + t^7.48/(g1^12*y) + (g1^29*g2*t^7.78)/y + (g1^8*t^8.01)/y + (g1^22*g2^2*t^8.01)/y + t^8.24/(g1^13*g2*y) - (g1^32*g2^2*t^8.27)/y + (g1^11*g2*t^8.5)/y + (g1^7*t^8.77)/(g2*y) + (2*g1^21*g2*t^8.77)/y - g1^2*t^4.25*y - g1^17*g2*t^6.26*y - g1^16*t^7.02*y + (t^7.48*y)/g1^12 + g1^29*g2*t^7.78*y + g1^8*t^8.01*y + g1^22*g2^2*t^8.01*y + (t^8.24*y)/(g1^13*g2) - g1^32*g2^2*t^8.27*y + g1^11*g2*t^8.5*y + (g1^7*t^8.77*y)/g2 + 2*g1^21*g2*t^8.77*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
1599 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_1M_3$ 0.6793 0.8216 0.8268 [X:[], M:[1.0198, 1.1485, 0.9802, 0.9802, 0.7228, 0.7228, 1.2772], q:[0.7871, 0.4901], qb:[0.4901, 0.5297], phi:[0.4257]] t^2.17 + 2*t^2.94 + t^3.06 + t^3.45 + t^3.83 + t^3.95 + 3*t^4.22 + 3*t^4.34 + t^4.46 + 2*t^5.11 + t^5.23 + t^5.61 + t^5.88 - 2*t^6. - t^4.28/y - t^4.28*y detail
1600 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_1M_8$ 0.6841 0.83 0.8243 [X:[], M:[1.0256, 1.1665, 0.9173, 0.9744, 0.7497, 0.6926, 1.2503, 0.9744], q:[0.7916, 0.5158], qb:[0.4587, 0.5669], phi:[0.4168]] t^2.08 + t^2.75 + 2*t^2.92 + t^3.5 + t^3.75 + t^4. + t^4.08 + t^4.16 + t^4.17 + t^4.33 + t^4.34 + t^4.5 + t^4.65 + t^4.83 + 2*t^5. + t^5.5 + t^5.58 + t^5.68 + 2*t^5.85 - 3*t^6. - t^4.25/y - t^4.25*y detail
1602 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_8q_1\tilde{q}_2$ 0.7038 0.8701 0.8089 [X:[], M:[1.0, 1.165, 0.9223, 1.0, 0.7476, 0.6699, 1.2524, 0.6699], q:[0.7913, 0.5388], qb:[0.4612, 0.5388], phi:[0.4175]] 2*t^2.01 + t^2.77 + 2*t^3. + t^3.5 + t^3.76 + 4*t^4.02 + 2*t^4.25 + 3*t^4.49 + 2*t^4.78 + 4*t^5.01 + 2*t^5.5 + t^5.53 + 2*t^5.77 - 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
645 SU2adj1nf2 $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ 0.7022 0.8636 0.8131 [X:[], M:[0.9986, 1.1618, 0.9336, 1.0014, 0.7428, 0.6749], q:[0.7905, 0.5347], qb:[0.4668, 0.5318], phi:[0.4191]] t^2.02 + t^2.23 + t^2.8 + 2*t^3. + t^3.49 + t^3.97 + t^4.05 + t^4.06 + 2*t^4.25 + t^4.26 + t^4.45 + 2*t^4.46 + t^4.47 + t^4.83 + t^5.02 + 2*t^5.03 + t^5.22 + t^5.23 + t^5.51 + t^5.6 + t^5.71 + t^5.99 - 2*t^6. - t^4.26/y - t^4.26*y detail