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 |
---|---|---|---|---|---|---|---|---|---|
1868 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_3X_1$ | 0.6359 | 0.7849 | 0.8102 | [X:[1.616], M:[0.7681, 1.1521, 0.384, 0.8479, 0.7681], q:[0.4639, 0.7681], qb:[0.384, 0.8479], phi:[0.384]] | [X:[[1]], M:[[-2], [-3], [-1], [3], [-2]], q:[[4], [-2]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_5$, $ \phi_1^2$, $ M_4$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_4$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_2\phi_1^2$, $ \phi_1q_2^2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$ | $M_5\phi_1q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$ | 0 | 3*t^2.3 + t^2.54 + 2*t^3.46 + t^3.7 + 2*t^3.94 + 6*t^4.61 + 4*t^4.85 + t^5.09 + 4*t^5.76 + 5*t^6.24 + 2*t^6.48 + 11*t^6.91 + 5*t^7.15 + 2*t^7.39 + t^7.63 + 3*t^7.87 + 6*t^8.06 - 4*t^8.3 + 3*t^8.54 + 5*t^8.78 - t^4.15/y - (3*t^6.46)/y + (3*t^7.61)/y + (6*t^7.85)/y - t^4.15*y - 3*t^6.46*y + 3*t^7.61*y + 6*t^7.85*y | (3*t^2.3)/g1^2 + g1^3*t^2.54 + (2*t^3.46)/g1^3 + g1^2*t^3.7 + 2*g1^7*t^3.94 + (6*t^4.61)/g1^4 + 4*g1*t^4.85 + g1^6*t^5.09 + (4*t^5.76)/g1^5 + 5*g1^5*t^6.24 + 2*g1^10*t^6.48 + (11*t^6.91)/g1^6 + (5*t^7.15)/g1 + 2*g1^4*t^7.39 + g1^9*t^7.63 + 3*g1^14*t^7.87 + (6*t^8.06)/g1^7 - (4*t^8.3)/g1^2 + 3*g1^3*t^8.54 + 5*g1^8*t^8.78 - t^4.15/(g1*y) - (3*t^6.46)/(g1^3*y) + (3*t^7.61)/(g1^4*y) + (6*g1*t^7.85)/y - (t^4.15*y)/g1 - (3*t^6.46*y)/g1^3 + (3*t^7.61*y)/g1^4 + 6*g1*t^7.85*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 |
---|---|---|---|---|---|---|---|---|
2881 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_3X_1$ + $ M_2M_6$ | 0.6497 | 0.8094 | 0.8027 | [X:[1.6113], M:[0.7774, 1.166, 0.3887, 0.834, 0.7774, 0.834], q:[0.4453, 0.7774], qb:[0.3887, 0.834], phi:[0.3887]] | 3*t^2.33 + 2*t^2.5 + t^3.5 + t^3.67 + 2*t^3.84 + 6*t^4.66 + 7*t^4.83 + 3*t^5. + t^5.83 - t^4.17/y - t^4.17*y | detail | |
2880 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_3X_1$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6542 | 0.8179 | 0.7999 | [X:[1.618], M:[0.7639, 1.1459, 0.382, 0.8541, 0.7639, 0.7639], q:[0.4722, 0.7639], qb:[0.382, 0.8541], phi:[0.382]] | 4*t^2.29 + t^2.56 + 2*t^3.44 + 2*t^3.98 + 10*t^4.58 + 5*t^4.85 + t^5.12 + 6*t^5.73 - 3*t^6. - t^4.15/y - t^4.15*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 |
---|---|---|---|---|---|---|---|---|---|
515 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.7296 | 0.8971 | 0.8133 | [X:[], M:[0.8907, 1.0158, 0.7657, 0.9842, 0.8907], q:[0.5389, 0.5704], qb:[0.4454, 0.6639], phi:[0.4454]] | t^2.3 + 3*t^2.67 + t^2.95 + t^3.05 + t^3.61 + t^4.01 + t^4.29 + t^4.38 + t^4.57 + t^4.59 + 2*t^4.66 + t^4.76 + t^4.94 + 3*t^4.97 + t^5.04 + t^5.25 + t^5.32 + 6*t^5.34 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |