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 |
---|---|---|---|---|---|---|---|---|---|
51859 | 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$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_4M_6$ | 0.6941 | 0.85 | 0.8166 | [X:[], M:[1.0333, 0.9667, 0.9667, 1.0111, 1.0111, 0.9889], q:[0.5056, 0.4611], qb:[0.5278, 0.5278], phi:[0.4944]] | [X:[], M:[[6], [-6], [-6], [2], [2], [-2]], q:[[1], [-7]], qb:[[5], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_6$, $ M_3M_6$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_2M_5$, $ M_3M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$ | $M_1M_2$, $ M_5M_6$ | -2 | 2*t^2.9 + 2*t^2.97 + t^3.03 + t^3.1 + t^3.17 + t^4.25 + t^4.38 + 2*t^4.45 + t^4.52 + 2*t^4.58 + 3*t^4.65 + t^5.8 + 3*t^5.87 + 3*t^5.93 - 2*t^6. + 2*t^6.07 + 2*t^6.13 + t^6.27 + t^6.33 + 2*t^7.15 + 2*t^7.22 + 4*t^7.35 + 4*t^7.42 + 6*t^7.55 + 6*t^7.62 + 3*t^7.75 + 3*t^7.82 + t^8.5 + t^8.63 + 2*t^8.7 + t^8.77 + 6*t^8.83 + t^8.9 - 6*t^8.97 - t^4.48/y - t^7.38/y + t^7.58/y + t^8.8/y + (4*t^8.87)/y + (3*t^8.93)/y - t^4.48*y - t^7.38*y + t^7.58*y + t^8.8*y + 4*t^8.87*y + 3*t^8.93*y | (2*t^2.9)/g1^6 + (2*t^2.97)/g1^2 + g1^2*t^3.03 + g1^6*t^3.1 + g1^10*t^3.17 + t^4.25/g1^15 + t^4.38/g1^7 + (2*t^4.45)/g1^3 + g1*t^4.52 + 2*g1^5*t^4.58 + 3*g1^9*t^4.65 + t^5.8/g1^12 + (3*t^5.87)/g1^8 + (3*t^5.93)/g1^4 - 2*t^6. + 2*g1^4*t^6.07 + 2*g1^8*t^6.13 + g1^16*t^6.27 + g1^20*t^6.33 + (2*t^7.15)/g1^21 + (2*t^7.22)/g1^17 + (4*t^7.35)/g1^9 + (4*t^7.42)/g1^5 + 6*g1^3*t^7.55 + 6*g1^7*t^7.62 + 3*g1^15*t^7.75 + 3*g1^19*t^7.82 + t^8.5/g1^30 + t^8.63/g1^22 + (2*t^8.7)/g1^18 + t^8.77/g1^14 + (6*t^8.83)/g1^10 + t^8.9/g1^6 - (6*t^8.97)/g1^2 - t^4.48/(g1*y) - t^7.38/(g1^7*y) + (g1^5*t^7.58)/y + t^8.8/(g1^12*y) + (4*t^8.87)/(g1^8*y) + (3*t^8.93)/(g1^4*y) - (t^4.48*y)/g1 - (t^7.38*y)/g1^7 + g1^5*t^7.58*y + (t^8.8*y)/g1^12 + (4*t^8.87*y)/g1^8 + (3*t^8.93*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
56345 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_4M_6$ + $ M_1M_7$ | 0.6981 | 0.857 | 0.8145 | [X:[], M:[1.052, 0.948, 0.948, 1.0173, 1.0173, 0.9827, 0.948], q:[0.5087, 0.4393], qb:[0.5433, 0.5433], phi:[0.4913]] | 3*t^2.84 + 2*t^2.95 + t^3.05 + t^3.26 + t^4.11 + t^4.32 + 2*t^4.42 + t^4.53 + 2*t^4.63 + 3*t^4.73 + 4*t^5.69 + 5*t^5.79 + 4*t^5.9 - 4*t^6. - t^4.47/y - t^4.47*y | detail | |
56343 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_4M_6$ + $ M_5M_7$ | 0.6952 | 0.8519 | 0.8161 | [X:[], M:[1.0397, 0.9603, 0.9603, 1.0132, 1.0132, 0.9868, 0.9868], q:[0.5066, 0.4537], qb:[0.5331, 0.5331], phi:[0.4934]] | 2*t^2.88 + 3*t^2.96 + t^3.12 + t^3.2 + t^4.2 + t^4.36 + 2*t^4.44 + t^4.52 + 2*t^4.6 + 3*t^4.68 + t^5.76 + 5*t^5.84 + 4*t^5.92 - 4*t^6. - t^4.48/y - t^4.48*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 |
---|---|---|---|---|---|---|---|---|---|
47244 | 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$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ | 0.6931 | 0.8486 | 0.8169 | [X:[], M:[1.0269, 0.9731, 0.9731, 1.009, 1.009], q:[0.5045, 0.4687], qb:[0.5224, 0.5224], phi:[0.4955]] | 2*t^2.92 + t^2.97 + 2*t^3.03 + t^3.08 + t^3.13 + t^4.3 + t^4.41 + 2*t^4.46 + t^4.51 + 2*t^4.57 + 3*t^4.62 + t^5.84 + t^5.89 + 3*t^5.95 - 2*t^6. - t^4.49/y - t^4.49*y | detail |