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 |
---|---|---|---|---|---|---|---|---|---|
1069 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_1M_6$ | 0.6315 | 0.7847 | 0.8048 | [X:[], M:[0.8252, 1.2, 0.7748, 0.8, 0.7748, 1.1748], q:[0.8, 0.3748], qb:[0.8, 0.4252], phi:[0.4]] | [X:[], M:[[1], [0], [-1], [0], [-1], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_5$, $ M_4$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_6$, $ q_1q_2$, $ M_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_3M_4$, $ M_4M_5$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ M_3\phi_1q_2^2$, $ M_5\phi_1q_2^2$, $ M_3M_6$, $ M_5M_6$, $ M_3q_1q_2$, $ M_5q_1q_2$, $ M_4\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_2M_3$, $ M_2M_5$, $ M_4M_6$, $ M_6\phi_1^2$, $ M_4q_1q_2$ | $\phi_1\tilde{q}_1^2$ | -1 | 2*t^2.32 + 2*t^2.4 + t^3.45 + 2*t^3.52 + t^3.6 + t^3.75 + 3*t^4.65 + 4*t^4.72 + 4*t^4.8 + 2*t^5.77 + 5*t^5.85 + 4*t^5.92 - t^6. + t^6.15 + t^6.9 + 6*t^6.97 + 8*t^7.05 + 6*t^7.12 + 3*t^7.2 - 2*t^7.28 - t^7.35 + t^7.5 + 3*t^8.1 + 8*t^8.17 + 8*t^8.25 - 4*t^8.4 - 4*t^8.48 + t^8.55 - t^4.2/y - (2*t^6.52)/y - t^6.6/y + t^7.65/y + (4*t^7.72)/y + (2*t^7.8)/y + (2*t^7.88)/y + (2*t^8.77)/y + (3*t^8.85)/y + (4*t^8.92)/y - t^4.2*y - 2*t^6.52*y - t^6.6*y + t^7.65*y + 4*t^7.72*y + 2*t^7.8*y + 2*t^7.88*y + 2*t^8.77*y + 3*t^8.85*y + 4*t^8.92*y | (2*t^2.32)/g1 + 2*t^2.4 + t^3.45/g1^2 + (2*t^3.52)/g1 + t^3.6 + g1^2*t^3.75 + (3*t^4.65)/g1^2 + (4*t^4.72)/g1 + 4*t^4.8 + (2*t^5.77)/g1^3 + (5*t^5.85)/g1^2 + (4*t^5.92)/g1 - t^6. + g1^2*t^6.15 + t^6.9/g1^4 + (6*t^6.97)/g1^3 + (8*t^7.05)/g1^2 + (6*t^7.12)/g1 + 3*t^7.2 - 2*g1*t^7.28 - g1^2*t^7.35 + g1^4*t^7.5 + (3*t^8.1)/g1^4 + (8*t^8.17)/g1^3 + (8*t^8.25)/g1^2 - 4*t^8.4 - 4*g1*t^8.48 + g1^2*t^8.55 - t^4.2/y - (2*t^6.52)/(g1*y) - t^6.6/y + t^7.65/(g1^2*y) + (4*t^7.72)/(g1*y) + (2*t^7.8)/y + (2*g1*t^7.88)/y + (2*t^8.77)/(g1^3*y) + (3*t^8.85)/(g1^2*y) + (4*t^8.92)/(g1*y) - t^4.2*y - (2*t^6.52*y)/g1 - t^6.6*y + (t^7.65*y)/g1^2 + (4*t^7.72*y)/g1 + 2*t^7.8*y + 2*g1*t^7.88*y + (2*t^8.77*y)/g1^3 + (3*t^8.85*y)/g1^2 + (4*t^8.92*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
1663 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_1M_6$ + $ M_2M_7$ | 0.648 | 0.8137 | 0.7964 | [X:[], M:[0.8252, 1.2, 0.7748, 0.8, 0.7748, 1.1748, 0.8], q:[0.8, 0.3748], qb:[0.8, 0.4252], phi:[0.4]] | 2*t^2.32 + 3*t^2.4 + t^3.45 + 2*t^3.52 + t^3.75 + 3*t^4.65 + 6*t^4.72 + 7*t^4.8 + 2*t^5.77 + 6*t^5.85 + 4*t^5.92 - 3*t^6. - t^4.2/y - t^4.2*y | detail | |
2127 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_1M_6$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6511 | 0.823 | 0.7911 | [X:[], M:[0.8375, 1.2, 0.7625, 0.8, 0.7625, 1.1625, 0.7249], q:[0.8, 0.3625], qb:[0.8, 0.4375], phi:[0.4]] | t^2.17 + 2*t^2.29 + 2*t^2.4 + t^3.37 + 2*t^3.49 + t^3.6 + t^4.35 + 2*t^4.46 + 5*t^4.57 + 4*t^4.69 + 4*t^4.8 + t^5.55 + 4*t^5.66 + 6*t^5.77 + 4*t^5.89 - t^6. - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
666 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ | 0.6469 | 0.8101 | 0.7985 | [X:[], M:[0.8118, 1.2, 0.7882, 0.8, 0.7882], q:[0.8, 0.3882], qb:[0.8, 0.4118], phi:[0.4]] | 2*t^2.36 + 2*t^2.4 + t^2.44 + t^3.53 + t^3.56 + t^3.6 + t^3.67 + 3*t^4.73 + 4*t^4.76 + 6*t^4.8 + 2*t^4.84 + t^4.87 + 2*t^5.89 + 3*t^5.93 + 3*t^5.96 - t^4.2/y - t^4.2*y | detail |