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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
52344 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_6\phi_1q_1q_2$ 0.6974 0.8857 0.7874 [X:[], M:[1.159, 1.0728, 0.841, 0.7815, 0.7549, 0.6954], q:[0.3907, 0.4503], qb:[0.5364, 0.7682], phi:[0.4636]] [X:[], M:[[-5], [4], [5], [-12], [14], [-3]], q:[[-6], [11]], qb:[[2], [1]], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_6$, $ M_5$, $ M_4$, $ M_3$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_6$, $ M_5^2$, $ M_4M_5$, $ M_3M_6$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_3M_5$, $ M_3M_4$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_5\phi_1^2$, $ M_6q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_3q_2\tilde{q}_1$, $ M_2M_4$, $ M_1M_6$, $ \phi_1^4$, $ M_2M_3$, $ M_1M_5$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$ $M_6\tilde{q}_1\tilde{q}_2$ 0 t^2.09 + t^2.26 + t^2.34 + t^2.52 + t^2.78 + t^2.96 + t^3.22 + t^3.48 + t^3.91 + t^4.09 + 2*t^4.17 + 2*t^4.35 + t^4.43 + t^4.53 + 3*t^4.61 + t^4.69 + t^4.79 + 2*t^4.87 + 3*t^5.05 + t^5.13 + t^5.22 + 3*t^5.3 + 2*t^5.48 + 2*t^5.56 + 2*t^5.74 + t^5.92 + 2*t^6.18 + 2*t^6.26 + t^6.36 + 4*t^6.44 + 2*t^6.52 + 3*t^6.62 + 4*t^6.7 + t^6.78 + t^6.79 + 5*t^6.87 + 3*t^6.95 + t^7.03 + 2*t^7.05 + 4*t^7.13 + t^7.21 + 4*t^7.31 + 4*t^7.39 + t^7.47 + t^7.49 + 5*t^7.57 + 3*t^7.65 + 2*t^7.75 + 3*t^7.83 + t^7.91 + 4*t^8.01 + 2*t^8.19 + 2*t^8.26 + 4*t^8.44 + 2*t^8.52 + t^8.6 + t^8.62 + 6*t^8.7 + 3*t^8.78 + 2*t^8.86 + 4*t^8.88 + 4*t^8.96 - t^4.39/y - t^6.48/y - t^6.66/y - t^6.74/y + t^7.35/y + t^7.43/y + (2*t^7.61)/y + t^7.79/y + (2*t^7.87)/y + (3*t^8.05)/y + (2*t^8.13)/y + t^8.22/y + (4*t^8.3)/y + (2*t^8.48)/y + t^8.56/y + (2*t^8.74)/y - t^8.92/y - t^4.39*y - t^6.48*y - t^6.66*y - t^6.74*y + t^7.35*y + t^7.43*y + 2*t^7.61*y + t^7.79*y + 2*t^7.87*y + 3*t^8.05*y + 2*t^8.13*y + t^8.22*y + 4*t^8.3*y + 2*t^8.48*y + t^8.56*y + 2*t^8.74*y - t^8.92*y t^2.09/g1^3 + g1^14*t^2.26 + t^2.34/g1^12 + g1^5*t^2.52 + t^2.78/g1^4 + g1^13*t^2.96 + g1^4*t^3.22 + t^3.48/g1^5 + g1^3*t^3.91 + g1^20*t^4.09 + (2*t^4.17)/g1^6 + 2*g1^11*t^4.35 + t^4.43/g1^15 + g1^28*t^4.53 + 3*g1^2*t^4.61 + t^4.69/g1^24 + g1^19*t^4.79 + (2*t^4.87)/g1^7 + 3*g1^10*t^5.05 + t^5.13/g1^16 + g1^27*t^5.22 + 3*g1*t^5.3 + 2*g1^18*t^5.48 + (2*t^5.56)/g1^8 + 2*g1^9*t^5.74 + g1^26*t^5.92 + 2*g1^17*t^6.18 + (2*t^6.26)/g1^9 + g1^34*t^6.36 + 4*g1^8*t^6.44 + (2*t^6.52)/g1^18 + 3*g1^25*t^6.62 + (4*t^6.7)/g1 + t^6.78/g1^27 + g1^42*t^6.79 + 5*g1^16*t^6.87 + (3*t^6.95)/g1^10 + t^7.03/g1^36 + 2*g1^33*t^7.05 + 4*g1^7*t^7.13 + t^7.21/g1^19 + 4*g1^24*t^7.31 + (4*t^7.39)/g1^2 + t^7.47/g1^28 + g1^41*t^7.49 + 5*g1^15*t^7.57 + (3*t^7.65)/g1^11 + 2*g1^32*t^7.75 + 3*g1^6*t^7.83 + t^7.91/g1^20 + 4*g1^23*t^8.01 + 2*g1^40*t^8.19 + 2*g1^14*t^8.26 + 4*g1^31*t^8.44 + 2*g1^5*t^8.52 + t^8.6/g1^21 + g1^48*t^8.62 + 6*g1^22*t^8.7 + (3*t^8.78)/g1^4 + (2*t^8.86)/g1^30 + 4*g1^39*t^8.88 + 4*g1^13*t^8.96 - t^4.39/(g1^2*y) - t^6.48/(g1^5*y) - (g1^12*t^6.66)/y - t^6.74/(g1^14*y) + (g1^11*t^7.35)/y + t^7.43/(g1^15*y) + (2*g1^2*t^7.61)/y + (g1^19*t^7.79)/y + (2*t^7.87)/(g1^7*y) + (3*g1^10*t^8.05)/y + (2*t^8.13)/(g1^16*y) + (g1^27*t^8.22)/y + (4*g1*t^8.3)/y + (2*g1^18*t^8.48)/y + t^8.56/(g1^8*y) + (2*g1^9*t^8.74)/y - (g1^26*t^8.92)/y - (t^4.39*y)/g1^2 - (t^6.48*y)/g1^5 - g1^12*t^6.66*y - (t^6.74*y)/g1^14 + g1^11*t^7.35*y + (t^7.43*y)/g1^15 + 2*g1^2*t^7.61*y + g1^19*t^7.79*y + (2*t^7.87*y)/g1^7 + 3*g1^10*t^8.05*y + (2*t^8.13*y)/g1^16 + g1^27*t^8.22*y + 4*g1*t^8.3*y + 2*g1^18*t^8.48*y + (t^8.56*y)/g1^8 + 2*g1^9*t^8.74*y - g1^26*t^8.92*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
56417 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_2M_7$ 0.7043 0.8967 0.7854 [X:[], M:[1.155, 1.076, 0.845, 0.772, 0.766, 0.693, 0.924], q:[0.386, 0.459], qb:[0.538, 0.769], phi:[0.462]] t^2.08 + t^2.3 + t^2.32 + t^2.53 + 2*t^2.77 + t^2.99 + t^3.47 + t^3.92 + t^4.14 + 2*t^4.16 + 2*t^4.38 + t^4.4 + t^4.6 + 3*t^4.61 + t^4.63 + t^4.83 + 3*t^4.85 + 4*t^5.07 + 2*t^5.09 + t^5.29 + 3*t^5.31 + t^5.53 + 3*t^5.54 + 2*t^5.76 + t^5.98 - t^6. - t^4.39/y - t^4.39*y detail
56416 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_7\phi_1^2$ 0.6908 0.8754 0.7891 [X:[], M:[1.1629, 1.0697, 0.8371, 0.7909, 0.7439, 0.6977, 1.0697], q:[0.3955, 0.4416], qb:[0.5348, 0.7674], phi:[0.4652]] t^2.09 + t^2.23 + t^2.37 + t^2.51 + t^2.93 + 2*t^3.21 + t^3.49 + t^3.91 + t^4.05 + 2*t^4.19 + 2*t^4.32 + t^4.46 + t^4.47 + 3*t^4.6 + t^4.74 + t^4.75 + t^4.88 + 2*t^5.02 + t^5.16 + 3*t^5.3 + 3*t^5.44 + 2*t^5.58 + 2*t^5.72 + t^5.86 - t^6. - t^4.4/y - t^4.4*y detail
56418 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_6\phi_1q_1q_2$ + $ M_7\tilde{q}_1\tilde{q}_2$ 0.718 0.9253 0.776 [X:[], M:[1.1584, 1.0732, 0.8416, 0.7803, 0.7564, 0.6951, 0.6951], q:[0.3901, 0.4514], qb:[0.5366, 0.7683], phi:[0.4634]] 2*t^2.09 + t^2.27 + t^2.34 + t^2.52 + t^2.78 + t^2.96 + t^3.22 + t^3.48 + t^4.1 + 4*t^4.17 + 3*t^4.35 + 2*t^4.43 + t^4.54 + 4*t^4.61 + t^4.68 + t^4.79 + 3*t^4.87 + 4*t^5.05 + t^5.12 + t^5.23 + 4*t^5.3 + 2*t^5.49 + 3*t^5.56 + 2*t^5.74 + t^5.93 - t^6. - t^4.39/y - t^4.39*y detail
56415 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_6\phi_1q_1q_2$ + $ q_2^2\tilde{q}_1^2$ 0.6972 0.8847 0.7881 [X:[], M:[1.1538, 1.0769, 0.8462, 0.7692, 0.7692, 0.6923], q:[0.3846, 0.4615], qb:[0.5385, 0.7692], phi:[0.4615]] t^2.08 + 2*t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.92 + 3*t^4.15 + 3*t^4.38 + 5*t^4.62 + 3*t^4.85 + 4*t^5.08 + 4*t^5.31 + 4*t^5.54 + 2*t^5.77 + t^6. - t^4.38/y - t^4.38*y detail {a: 24507/35152, c: 15549/17576, M1: 15/13, M2: 14/13, M3: 11/13, M4: 10/13, M5: 10/13, M6: 9/13, q1: 5/13, q2: 6/13, qb1: 7/13, qb2: 10/13, phi1: 6/13}


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
48238 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1^2$ + $ M_2\phi_1^2$ 0.6768 0.8462 0.7998 [X:[], M:[1.1595, 1.0724, 0.8405, 0.7827, 0.7535], q:[0.3914, 0.4492], qb:[0.5362, 0.7681], phi:[0.4638]] t^2.26 + t^2.35 + t^2.52 + t^2.78 + t^2.96 + t^3.22 + t^3.48 + 2*t^3.91 + t^4.09 + t^4.17 + t^4.35 + t^4.52 + 2*t^4.61 + t^4.7 + t^4.78 + t^4.87 + 2*t^5.04 + t^5.13 + t^5.22 + 2*t^5.3 + 2*t^5.48 + t^5.57 + 2*t^5.74 + t^5.91 - t^6. - t^4.39/y - t^4.39*y detail