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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
47051 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ 0.6952 0.8535 0.8145 [X:[], M:[1.0257, 1.0461, 0.9743, 0.9368, 1.0086, 0.9539], q:[0.4684, 0.5059], qb:[0.4855, 0.5572], phi:[0.4957]] [X:[], M:[[6, 6], [-16, 4], [-6, -6], [12, -8], [2, 2], [16, -4]], q:[[6, -4], [-12, -2]], qb:[[10, 0], [0, 10]], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_4$, $ M_6$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_3M_6$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_1M_6$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ \phi_1^4$, $ M_6\tilde{q}_1\tilde{q}_2$ . -2 t^2.81 + t^2.86 + t^2.92 + t^2.97 + t^3.03 + t^3.08 + t^3.13 + t^4.3 + t^4.35 + t^4.4 + t^4.41 + t^4.46 + t^4.52 + t^4.56 + t^4.62 + t^4.68 + t^4.83 + t^5.62 + t^5.67 + t^5.72 + t^5.78 + 2*t^5.84 + t^5.89 + t^5.9 + t^5.94 + t^5.95 + t^5.99 - 2*t^6. + t^6.05 - t^6.06 + 2*t^6.1 - t^6.11 + t^6.15 + t^6.21 - t^6.22 + t^6.26 - t^6.27 + t^7.11 + 2*t^7.16 + 2*t^7.21 + t^7.22 + t^7.26 + 2*t^7.27 + 2*t^7.32 + t^7.33 + 2*t^7.37 + 2*t^7.38 + 2*t^7.43 + t^7.45 + 2*t^7.48 - t^7.49 + t^7.5 + t^7.53 + t^7.54 - t^7.55 + t^7.59 + t^7.64 + t^7.65 + 2*t^7.69 - t^7.7 + t^7.74 + t^7.8 + t^7.91 + t^7.96 + t^8.43 + t^8.48 + t^8.53 + t^8.59 + t^8.6 + 3*t^8.65 + 3*t^8.7 + t^8.71 + 2*t^8.75 + t^8.76 + 2*t^8.8 - 2*t^8.81 + t^8.82 + t^8.85 - 2*t^8.86 + t^8.87 + t^8.91 - 2*t^8.92 + t^8.93 + 3*t^8.96 - 3*t^8.97 - t^4.49/y - t^7.3/y + t^7.68/y + t^8.67/y + t^8.73/y + (2*t^8.78)/y + (2*t^8.84)/y + (2*t^8.89)/y + t^8.9/y + (2*t^8.94)/y + t^8.95/y + t^8.99/y - t^4.49*y - t^7.3*y + t^7.68*y + t^8.67*y + t^8.73*y + 2*t^8.78*y + 2*t^8.84*y + 2*t^8.89*y + t^8.9*y + 2*t^8.94*y + t^8.95*y + t^8.99*y (g1^12*t^2.81)/g2^8 + (g1^16*t^2.86)/g2^4 + t^2.92/(g1^6*g2^6) + t^2.97/(g1^2*g2^2) + g1^2*g2^2*t^3.03 + g1^6*g2^6*t^3.08 + g1^10*g2^10*t^3.13 + (g1^11*t^4.3)/g2^9 + (g1^15*t^4.35)/g2^5 + (g1^19*t^4.4)/g2 + t^4.41/(g1^7*g2^7) + t^4.46/(g1^3*g2^3) + t^4.52/(g1^25*g2^5) + g1^5*g2^5*t^4.56 + g1^9*g2^9*t^4.62 + (g2^7*t^4.68)/g1^13 + (g2^19*t^4.83)/g1 + (g1^24*t^5.62)/g2^16 + (g1^28*t^5.67)/g2^12 + (g1^32*t^5.72)/g2^8 + (g1^10*t^5.78)/g2^10 + (2*g1^14*t^5.84)/g2^6 + (g1^18*t^5.89)/g2^2 + t^5.9/(g1^8*g2^8) + g1^22*g2^2*t^5.94 + t^5.95/(g1^4*g2^4) + g1^26*g2^6*t^5.99 - 2*t^6. + g1^4*g2^4*t^6.05 - t^6.06/(g1^22*g2^2) + 2*g1^8*g2^8*t^6.1 - (g2^2*t^6.11)/g1^18 + g1^12*g2^12*t^6.15 + g1^16*g2^16*t^6.21 - (g2^10*t^6.22)/g1^10 + g1^20*g2^20*t^6.26 - (g2^14*t^6.27)/g1^6 + (g1^23*t^7.11)/g2^17 + (2*g1^27*t^7.16)/g2^13 + (2*g1^31*t^7.21)/g2^9 + (g1^5*t^7.22)/g2^15 + (g1^35*t^7.26)/g2^5 + (2*g1^9*t^7.27)/g2^11 + (2*g1^13*t^7.32)/g2^7 + t^7.33/(g1^13*g2^13) + (2*g1^17*t^7.37)/g2^3 + (2*t^7.38)/(g1^9*g2^9) + 2*g1^21*g2*t^7.43 + t^7.45/(g1^31*g2^11) + 2*g1^25*g2^5*t^7.48 - t^7.49/(g1*g2) + t^7.5/(g1^27*g2^7) + g1^29*g2^9*t^7.53 + g1^3*g2^3*t^7.54 - t^7.55/(g1^23*g2^3) + g1^7*g2^7*t^7.59 + g1^11*g2^11*t^7.64 + (g2^5*t^7.65)/g1^15 + 2*g1^15*g2^15*t^7.69 - (g2^9*t^7.7)/g1^11 + g1^19*g2^19*t^7.74 + (g2^17*t^7.8)/g1^3 + g1^5*g2^25*t^7.91 + g1^9*g2^29*t^7.96 + (g1^36*t^8.43)/g2^24 + (g1^40*t^8.48)/g2^20 + (g1^44*t^8.53)/g2^16 + (g1^48*t^8.59)/g2^12 + (g1^22*t^8.6)/g2^18 + (3*g1^26*t^8.65)/g2^14 + (3*g1^30*t^8.7)/g2^10 + (g1^4*t^8.71)/g2^16 + (2*g1^34*t^8.75)/g2^6 + (g1^8*t^8.76)/g2^12 + (2*g1^38*t^8.8)/g2^2 - (2*g1^12*t^8.81)/g2^8 + t^8.82/(g1^14*g2^14) + g1^42*g2^2*t^8.85 - (2*g1^16*t^8.86)/g2^4 + t^8.87/(g1^10*g2^10) + g1^20*t^8.91 - (2*t^8.92)/(g1^6*g2^6) + t^8.93/(g1^32*g2^12) + 3*g1^24*g2^4*t^8.96 - (3*t^8.97)/(g1^2*g2^2) - t^4.49/(g1*g2*y) - (g1^11*t^7.3)/(g2^9*y) + (g2^7*t^7.68)/(g1^13*y) + (g1^28*t^8.67)/(g2^12*y) + (g1^6*t^8.73)/(g2^14*y) + (2*g1^10*t^8.78)/(g2^10*y) + (2*g1^14*t^8.84)/(g2^6*y) + (2*g1^18*t^8.89)/(g2^2*y) + t^8.9/(g1^8*g2^8*y) + (2*g1^22*g2^2*t^8.94)/y + t^8.95/(g1^4*g2^4*y) + (g1^26*g2^6*t^8.99)/y - (t^4.49*y)/(g1*g2) - (g1^11*t^7.3*y)/g2^9 + (g2^7*t^7.68*y)/g1^13 + (g1^28*t^8.67*y)/g2^12 + (g1^6*t^8.73*y)/g2^14 + (2*g1^10*t^8.78*y)/g2^10 + (2*g1^14*t^8.84*y)/g2^6 + (2*g1^18*t^8.89*y)/g2^2 + (t^8.9*y)/(g1^8*g2^8) + 2*g1^22*g2^2*t^8.94*y + (t^8.95*y)/(g1^4*g2^4) + g1^26*g2^6*t^8.99*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
55262 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_4\tilde{q}_1\tilde{q}_2$ 0.695 0.8523 0.8155 [X:[], M:[1.0326, 1.0326, 0.9674, 0.9456, 1.0109, 0.9674], q:[0.4728, 0.4946], qb:[0.4946, 0.5598], phi:[0.4946]] t^2.84 + 2*t^2.9 + t^2.97 + t^3.03 + t^3.1 + t^3.16 + t^4.32 + 2*t^4.39 + 3*t^4.45 + t^4.58 + 2*t^4.65 + t^4.84 + t^5.67 + t^5.74 + 2*t^5.8 + 3*t^5.87 + 2*t^5.93 - 2*t^6. - t^4.48/y - t^4.48*y detail
51267 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_5M_6$ 0.6942 0.85 0.8166 [X:[], M:[1.0348, 1.0116, 0.9652, 0.9652, 1.0116, 0.9884], q:[0.4826, 0.4826], qb:[0.5058, 0.5522], phi:[0.4942]] 2*t^2.9 + 2*t^2.97 + t^3.03 + t^3.1 + t^3.17 + 3*t^4.38 + 2*t^4.45 + t^4.52 + 2*t^4.59 + t^4.66 + t^4.8 + t^5.79 + 3*t^5.86 + 3*t^5.93 - 2*t^6. - t^4.48/y - t^4.48*y detail
55275 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_5M_7$ 0.6961 0.8548 0.8144 [X:[], M:[1.034, 1.0437, 0.966, 0.9337, 1.0113, 0.9563, 0.9887], q:[0.4668, 0.4992], qb:[0.4895, 0.5672], phi:[0.4943]] t^2.8 + t^2.87 + t^2.9 + 2*t^2.97 + t^3.1 + t^3.17 + t^4.28 + t^4.35 + t^4.38 + t^4.42 + t^4.45 + t^4.48 + t^4.59 + t^4.65 + t^4.68 + t^4.89 + t^5.6 + t^5.67 + t^5.74 + 2*t^5.77 + 2*t^5.83 + 2*t^5.86 + 2*t^5.93 + t^5.97 - 3*t^6. - t^4.48/y - t^4.48*y detail
55122 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_6\tilde{q}_1\tilde{q}_2$ 0.6952 0.8534 0.8146 [X:[], M:[1.0267, 1.0446, 0.9733, 0.9376, 1.0089, 0.9554], q:[0.4688, 0.5045], qb:[0.4866, 0.5579], phi:[0.4955]] t^2.81 + t^2.87 + t^2.92 + t^2.97 + t^3.03 + t^3.08 + t^3.13 + t^4.3 + t^4.35 + 2*t^4.41 + t^4.46 + t^4.51 + t^4.57 + t^4.62 + t^4.67 + t^4.83 + t^5.63 + t^5.68 + t^5.73 + t^5.79 + 2*t^5.84 + 2*t^5.89 + 2*t^5.95 - t^6. - t^4.49/y - t^4.49*y detail
55414 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_7\phi_1^2$ 0.6945 0.8529 0.8143 [X:[], M:[1.0174, 1.0485, 0.9826, 0.9399, 1.0058, 0.9515, 1.0058], q:[0.4699, 0.5127], qb:[0.4815, 0.5474], phi:[0.4971]] t^2.82 + t^2.85 + t^2.95 + 2*t^3.02 + t^3.05 + t^3.09 + t^4.31 + t^4.35 + t^4.38 + t^4.44 + t^4.47 + t^4.54 + t^4.57 + t^4.58 + t^4.67 + t^4.78 + t^5.64 + t^5.67 + t^5.71 + 2*t^5.84 + 2*t^5.87 + t^5.91 + t^5.94 + t^5.97 - 3*t^6. - t^4.49/y - t^4.49*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
46623 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ 0.6935 0.8487 0.8171 [X:[], M:[1.0327, 0.99, 0.9673, 0.9882, 1.0109], q:[0.4941, 0.4732], qb:[0.5159, 0.5386], phi:[0.4946]] t^2.9 + t^2.96 + 2*t^2.97 + t^3.03 + t^3.1 + t^3.16 + t^4.32 + t^4.39 + 2*t^4.45 + t^4.51 + t^4.52 + 2*t^4.58 + t^4.65 + t^4.72 + t^5.87 + 3*t^5.93 + t^5.94 - t^4.48/y - t^4.48*y detail