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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
2397 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_2^2$ 0.6399 0.7972 0.8027 [X:[], M:[0.7395, 1.0331, 1.1943, 1.128, 0.8057, 0.872, 1.128], q:[0.5022, 0.7583], qb:[0.3697, 0.436], phi:[0.4834]] [X:[], M:[[-34], [12], [10], [-14], [-10], [14], [-14]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ M_2$, $ M_4$, $ M_7$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_4$, $ M_1M_7$, $ q_1^2\tilde{q}_2^2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ M_1\phi_1\tilde{q}_1^2$, $ M_2q_1\tilde{q}_2$ . -2 t^2.22 + t^2.42 + t^2.81 + t^3.1 + 2*t^3.38 + t^3.58 + t^3.67 + t^3.87 + 2*t^4.07 + t^4.26 + t^4.44 + t^4.46 + t^4.64 + t^4.83 + t^5.03 + t^5.23 + t^5.32 + t^5.52 + t^5.6 + t^5.63 + t^5.8 + t^5.89 + t^5.91 - 2*t^6. + 2*t^6.09 + 2*t^6.28 + 4*t^6.48 + t^6.66 + 2*t^6.68 + 2*t^6.77 + t^6.85 + 2*t^6.88 + t^6.97 + 2*t^7.05 + t^7.08 + 2*t^7.25 + t^7.28 + t^7.34 + 2*t^7.45 + 2*t^7.54 + t^7.65 + 3*t^7.74 + t^7.82 + t^7.85 + 2*t^7.93 + t^8.05 + t^8.11 + 3*t^8.13 - 2*t^8.22 + 2*t^8.3 + 2*t^8.33 - 3*t^8.42 + t^8.44 + 3*t^8.5 + 2*t^8.53 - 2*t^8.62 + 3*t^8.7 + 2*t^8.73 - 3*t^8.81 + t^8.87 + 3*t^8.9 + t^8.93 + t^8.99 - t^4.45/y - t^6.67/y + t^7.07/y + t^7.64/y - t^7.83/y + t^8.03/y + (2*t^8.23)/y + t^8.32/y + t^8.52/y + (2*t^8.6)/y + (3*t^8.8)/y + t^8.91/y - t^4.45*y - t^6.67*y + t^7.07*y + t^7.64*y - t^7.83*y + t^8.03*y + 2*t^8.23*y + t^8.32*y + t^8.52*y + 2*t^8.6*y + 3*t^8.8*y + t^8.91*y t^2.22/g1^34 + t^2.42/g1^10 + g1^38*t^2.81 + g1^12*t^3.1 + (2*t^3.38)/g1^14 + g1^10*t^3.58 + t^3.67/g1^40 + t^3.87/g1^16 + 2*g1^8*t^4.07 + g1^32*t^4.26 + t^4.44/g1^68 + g1^56*t^4.46 + t^4.64/g1^44 + t^4.83/g1^20 + g1^4*t^5.03 + g1^28*t^5.23 + t^5.32/g1^22 + g1^2*t^5.52 + t^5.6/g1^48 + g1^76*t^5.63 + t^5.8/g1^24 + t^5.89/g1^74 + g1^50*t^5.91 - 2*t^6. + (2*t^6.09)/g1^50 + (2*t^6.28)/g1^26 + (4*t^6.48)/g1^2 + t^6.66/g1^102 + 2*g1^22*t^6.68 + (2*t^6.77)/g1^28 + t^6.85/g1^78 + 2*g1^46*t^6.88 + t^6.97/g1^4 + (2*t^7.05)/g1^54 + g1^70*t^7.08 + (2*t^7.25)/g1^30 + g1^94*t^7.28 + t^7.34/g1^80 + (2*t^7.45)/g1^6 + (2*t^7.54)/g1^56 + g1^18*t^7.65 + (3*t^7.74)/g1^32 + t^7.82/g1^82 + g1^42*t^7.85 + (2*t^7.93)/g1^8 + g1^66*t^8.05 + t^8.11/g1^108 + 3*g1^16*t^8.13 - (2*t^8.22)/g1^34 + (2*t^8.3)/g1^84 + 2*g1^40*t^8.33 - (3*t^8.42)/g1^10 + g1^114*t^8.44 + (3*t^8.5)/g1^60 + 2*g1^64*t^8.53 - 2*g1^14*t^8.62 + (3*t^8.7)/g1^36 + 2*g1^88*t^8.73 - 3*g1^38*t^8.81 + t^8.87/g1^136 + (3*t^8.9)/g1^12 + g1^112*t^8.93 + t^8.99/g1^62 - t^4.45/(g1^6*y) - t^6.67/(g1^40*y) + (g1^8*t^7.07)/y + t^7.64/(g1^44*y) - t^7.83/(g1^20*y) + (g1^4*t^8.03)/y + (2*g1^28*t^8.23)/y + t^8.32/(g1^22*y) + (g1^2*t^8.52)/y + (2*t^8.6)/(g1^48*y) + (3*t^8.8)/(g1^24*y) + (g1^50*t^8.91)/y - (t^4.45*y)/g1^6 - (t^6.67*y)/g1^40 + g1^8*t^7.07*y + (t^7.64*y)/g1^44 - (t^7.83*y)/g1^20 + g1^4*t^8.03*y + 2*g1^28*t^8.23*y + (t^8.32*y)/g1^22 + g1^2*t^8.52*y + (2*t^8.6*y)/g1^48 + (3*t^8.8*y)/g1^24 + g1^50*t^8.91*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
4426 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1^2$ 0.6396 0.7967 0.8028 [X:[], M:[0.7568, 1.027, 1.1892, 1.1351, 0.8108, 0.8649, 1.1351], q:[0.4865, 0.7568], qb:[0.3784, 0.4324], phi:[0.4865]] t^2.27 + t^2.43 + t^2.76 + t^3.08 + 2*t^3.41 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + t^4.86 + t^5.03 + t^5.19 + t^5.35 + 2*t^5.51 + t^5.68 + 2*t^5.84 - t^6. - t^4.46/y - t^4.46*y detail {a: 518337/810448, c: 322827/405224, M1: 28/37, M2: 38/37, M3: 44/37, M4: 42/37, M5: 30/37, M6: 32/37, M7: 42/37, q1: 18/37, q2: 28/37, qb1: 14/37, qb2: 16/37, phi1: 18/37}
4432 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ 0.6603 0.8357 0.7901 [X:[], M:[0.7437, 1.0316, 1.193, 1.1298, 0.807, 0.8702, 1.1298, 0.7089], q:[0.4984, 0.7579], qb:[0.3718, 0.4351], phi:[0.4842]] t^2.13 + t^2.23 + t^2.42 + t^2.8 + t^3.09 + 2*t^3.39 + t^3.58 + t^3.68 + 2*t^4.06 + 2*t^4.25 + t^4.36 + t^4.44 + t^4.46 + t^4.55 + t^4.65 + t^4.84 + t^4.93 + t^5.03 + 2*t^5.22 + t^5.33 + 3*t^5.52 + t^5.6 + t^5.62 + t^5.71 + 2*t^5.81 + t^5.9 + t^5.91 - 2*t^6. - t^4.45/y - t^4.45*y detail
4430 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ 0.6583 0.8308 0.7924 [X:[], M:[0.7595, 1.0261, 1.1884, 1.1363, 0.8116, 0.8637, 1.1363, 0.7535], q:[0.484, 0.7565], qb:[0.3798, 0.4319], phi:[0.487]] t^2.26 + t^2.28 + t^2.43 + t^2.75 + t^3.08 + 2*t^3.41 + t^3.57 + t^3.9 + 2*t^4.05 + t^4.21 + t^4.36 + t^4.52 + t^4.54 + t^4.56 + t^4.7 + t^4.71 + t^4.87 + t^5.01 + t^5.03 + t^5.18 + t^5.34 + t^5.36 + t^5.5 + t^5.51 + 2*t^5.67 + t^5.69 + 2*t^5.83 + t^5.84 - 2*t^6. - t^4.46/y - t^4.46*y detail
4424 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_2^2$ + $ q_1^2\tilde{q}_2^2$ 0.6361 0.794 0.8011 [X:[], M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 1.1053], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] t^2.05 + t^2.37 + t^3. + t^3.16 + 2*t^3.32 + t^3.47 + t^3.63 + t^3.79 + 3*t^4.11 + 2*t^4.42 + 2*t^4.74 + t^5.05 + t^5.21 + 2*t^5.37 + 2*t^5.53 + t^5.68 + 2*t^5.84 - t^6. - t^4.42/y - t^4.42*y detail {a: 69813/109744, c: 87141/109744, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 21/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19}


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
1329 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_6M_7$ 0.7018 0.8592 0.8168 [X:[], M:[0.8944, 1.0363, 1.0329, 0.9602, 0.9671, 1.0398, 0.9602], q:[0.5926, 0.513], qb:[0.4472, 0.5199], phi:[0.4818]] t^2.68 + 2*t^2.88 + t^2.9 + t^3.1 + t^3.11 + t^3.34 + t^4.13 + t^4.33 + t^4.35 + t^4.52 + t^4.54 + 2*t^4.56 + t^4.76 + t^4.78 + t^5. + t^5.37 + t^5.56 + t^5.58 + 2*t^5.76 + t^5.78 + t^5.79 + t^5.98 + 2*t^5.99 - 3*t^6. - t^4.45/y - t^4.45*y detail