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.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
859 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4M_5$ | 0.5911 | 0.7501 | 0.788 | [X:[], M:[0.9703, 1.0891, 0.9703, 0.7426, 1.2574], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]] | [X:[], M:[[4], [-12], [4], [1], [-1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_5$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ q_1q_2\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_5q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -2 | 2*t^2.23 + 2*t^2.91 + 2*t^3.27 + 2*t^3.59 + 2*t^3.77 + 3*t^4.28 + 3*t^4.46 + 4*t^5.14 + 2*t^5.49 + 6*t^5.82 - 2*t^6. + 2*t^6.18 + 6*t^6.51 + 3*t^6.53 + 4*t^6.68 + 2*t^7.04 + 6*t^7.19 + 5*t^7.37 + t^7.54 + 2*t^7.72 + 4*t^7.87 + 10*t^8.05 - 6*t^8.23 + 5*t^8.55 + 11*t^8.73 + 2*t^8.76 - 6*t^8.91 - t^4.54/y + t^7.28/y + t^7.63/y - t^7.81/y + (4*t^8.14)/y + (4*t^8.49)/y + (5*t^8.82)/y - t^4.54*y + t^7.28*y + t^7.63*y - t^7.81*y + 4*t^8.14*y + 4*t^8.49*y + 5*t^8.82*y | 2*g1*t^2.23 + 2*g1^4*t^2.91 + (2*t^3.27)/g1^12 + 2*g1^7*t^3.59 + (2*t^3.77)/g1 + 3*g1^10*t^4.28 + 3*g1^2*t^4.46 + 4*g1^5*t^5.14 + (2*t^5.49)/g1^11 + 6*g1^8*t^5.82 - 2*t^6. + (2*t^6.18)/g1^8 + 6*g1^11*t^6.51 + (3*t^6.53)/g1^24 + 4*g1^3*t^6.68 + (2*t^7.04)/g1^13 + 6*g1^14*t^7.19 + 5*g1^6*t^7.37 + t^7.54/g1^2 + (2*t^7.72)/g1^10 + 4*g1^17*t^7.87 + 10*g1^9*t^8.05 - 6*g1*t^8.23 + 5*g1^20*t^8.55 + 11*g1^12*t^8.73 + (2*t^8.76)/g1^23 - 6*g1^4*t^8.91 - t^4.54/(g1^2*y) + (g1^10*t^7.28)/y + t^7.63/(g1^6*y) - t^7.81/(g1^14*y) + (4*g1^5*t^8.14)/y + (4*t^8.49)/(g1^11*y) + (5*g1^8*t^8.82)/y - (t^4.54*y)/g1^2 + g1^10*t^7.28*y + (t^7.63*y)/g1^6 - (t^7.81*y)/g1^14 + 4*g1^5*t^8.14*y + (4*t^8.49*y)/g1^11 + 5*g1^8*t^8.82*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
2040 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6079 | 0.7795 | 0.7799 | [X:[], M:[0.9787, 1.0638, 0.9787, 0.7447, 1.2553, 0.7872], q:[0.7447, 0.2766], qb:[0.4681, 0.4681], phi:[0.5106]] | 2*t^2.23 + t^2.36 + 2*t^2.94 + 2*t^3.19 + t^3.64 + 2*t^3.77 + 3*t^4.34 + 3*t^4.47 + 2*t^4.6 + t^4.72 + 4*t^5.17 + 2*t^5.3 + 2*t^5.43 + 2*t^5.55 + 4*t^5.87 - t^6. - t^4.53/y - t^4.53*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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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 |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
547 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6104 | 0.7857 | 0.777 | [X:[], M:[0.9695, 1.0916, 0.9695, 0.7424], q:[0.7424, 0.2881], qb:[0.4542, 0.4542], phi:[0.5153]] | 3*t^2.23 + 2*t^2.91 + 2*t^3.27 + 2*t^3.59 + t^3.77 + 3*t^4.27 + 6*t^4.45 + 6*t^5.14 + 4*t^5.5 + 8*t^5.82 - 3*t^6. - t^4.55/y - t^4.55*y | detail |