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 |
|---|---|---|---|---|---|---|---|---|---|
| 2364 | 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_5^2$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5981 | 0.7588 | 0.7882 | [X:[], M:[0.8036, 1.1429, 0.9107, 0.7143, 1.0, 1.2857, 0.7143], q:[0.8839, 0.3125], qb:[0.4018, 0.6875], phi:[0.4286]] | [X:[], M:[[2], [0], [-2], [0], [0], [0], [0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 52515/87808, c: 66627/87808, M1: 45/56, M2: 8/7, M3: 51/56, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, q1: 99/112, q2: 5/16, qb1: 45/112, qb2: 11/16, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_1$, $ M_3$, $ M_5$, $ \phi_1q_2^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_1M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_3M_4$, $ M_3M_7$, $ \phi_1q_1q_2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ M_1M_5$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_2M_4$, $ M_2M_7$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_3\phi_1q_2^2$ | . | -2 | 2*t^2.14 + t^2.41 + t^2.73 + t^3. + t^3.16 + 2*t^3.43 + t^3.7 + 3*t^4.29 + 2*t^4.55 + t^4.71 + t^4.82 + 2*t^4.88 + 3*t^5.14 + 2*t^5.3 + t^5.41 + t^5.46 + 4*t^5.57 + 3*t^5.84 + t^5.89 - 2*t^6. + t^6.11 + 2*t^6.16 - t^6.27 + t^6.32 + 5*t^6.43 + t^6.59 + 3*t^6.7 + 2*t^6.86 + 2*t^6.96 + t^7.02 - 3*t^7.12 + 4*t^7.13 + t^7.23 + 2*t^7.29 + t^7.39 + 3*t^7.45 + 2*t^7.55 + 2*t^7.61 + 5*t^7.71 + t^7.82 + t^7.88 + 4*t^7.98 + 2*t^8.04 - 4*t^8.14 + t^8.2 + 3*t^8.25 + 3*t^8.3 - 4*t^8.41 + 2*t^8.46 + t^8.52 + 7*t^8.57 + t^8.62 - t^8.68 - t^8.73 + 4*t^8.84 + t^8.89 - t^4.29/y - t^6.43/y - t^6.7/y - t^7.02/y + t^7.29/y + (3*t^7.55)/y + (3*t^7.88)/y + (4*t^8.14)/y + (2*t^8.3)/y + t^8.41/y + (4*t^8.57)/y + t^8.73/y + (3*t^8.84)/y + t^8.89/y - t^4.29*y - t^6.43*y - t^6.7*y - t^7.02*y + t^7.29*y + 3*t^7.55*y + 3*t^7.88*y + 4*t^8.14*y + 2*t^8.3*y + t^8.41*y + 4*t^8.57*y + t^8.73*y + 3*t^8.84*y + t^8.89*y | 2*t^2.14 + g1^2*t^2.41 + t^2.73/g1^2 + t^3. + t^3.16/g1^2 + 2*t^3.43 + g1^2*t^3.7 + 3*t^4.29 + 2*g1^2*t^4.55 + t^4.71 + g1^4*t^4.82 + (2*t^4.88)/g1^2 + 3*t^5.14 + (2*t^5.3)/g1^2 + g1^2*t^5.41 + t^5.46/g1^4 + 4*t^5.57 + 3*g1^2*t^5.84 + t^5.89/g1^4 - 2*t^6. + g1^4*t^6.11 + (2*t^6.16)/g1^2 - g1^2*t^6.27 + t^6.32/g1^4 + 5*t^6.43 + t^6.59/g1^2 + 3*g1^2*t^6.7 + 2*t^6.86 + 2*g1^4*t^6.96 + t^7.02/g1^2 - 3*g1^2*t^7.12 + 4*g1^2*t^7.13 + g1^6*t^7.23 + 2*t^7.29 + g1^4*t^7.39 + (3*t^7.45)/g1^2 + 2*g1^2*t^7.55 + (2*t^7.61)/g1^4 + 5*t^7.71 + g1^4*t^7.82 + t^7.88/g1^2 + 4*g1^2*t^7.98 + (2*t^8.04)/g1^4 - 4*t^8.14 + t^8.2/g1^6 + 3*g1^4*t^8.25 + (3*t^8.3)/g1^2 - 4*g1^2*t^8.41 + (2*t^8.46)/g1^4 + g1^6*t^8.52 + 7*t^8.57 + t^8.62/g1^6 - g1^4*t^8.68 - t^8.73/g1^2 + 4*g1^2*t^8.84 + t^8.89/g1^4 - t^4.29/y - t^6.43/y - (g1^2*t^6.7)/y - t^7.02/(g1^2*y) + t^7.29/y + (3*g1^2*t^7.55)/y + (3*t^7.88)/(g1^2*y) + (4*t^8.14)/y + (2*t^8.3)/(g1^2*y) + (g1^2*t^8.41)/y + (4*t^8.57)/y + t^8.73/(g1^2*y) + (3*g1^2*t^8.84)/y + t^8.89/(g1^4*y) - t^4.29*y - t^6.43*y - g1^2*t^6.7*y - (t^7.02*y)/g1^2 + t^7.29*y + 3*g1^2*t^7.55*y + (3*t^7.88*y)/g1^2 + 4*t^8.14*y + (2*t^8.3*y)/g1^2 + g1^2*t^8.41*y + 4*t^8.57*y + (t^8.73*y)/g1^2 + 3*g1^2*t^8.84*y + (t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 4371 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_3\phi_1q_2^2$ | 0.5978 | 0.7585 | 0.7881 | [X:[], M:[0.7857, 1.1429, 0.9286, 0.7143, 1.0, 1.2857, 0.7143], q:[0.8929, 0.3214], qb:[0.3929, 0.6786], phi:[0.4286]] | 2*t^2.14 + t^2.36 + t^2.79 + t^3. + t^3.21 + 2*t^3.43 + t^3.64 + 3*t^4.29 + 2*t^4.5 + 2*t^4.71 + 2*t^4.93 + 3*t^5.14 + 3*t^5.36 + 5*t^5.57 + 3*t^5.79 - t^4.29/y - t^4.29*y | detail | {a: 6561/10976, c: 8325/10976, M1: 11/14, M2: 8/7, M3: 13/14, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, q1: 25/28, q2: 9/28, qb1: 11/28, qb2: 19/28, phi1: 3/7} |
| 4373 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.6051 | 0.7719 | 0.7839 | [X:[], M:[0.7592, 1.1429, 0.9551, 0.7143, 1.0, 1.2857, 0.7143, 0.902], q:[0.9061, 0.3347], qb:[0.3796, 0.6653], phi:[0.4286]] | 2*t^2.14 + t^2.28 + t^2.71 + t^2.87 + t^3. + 2*t^3.43 + t^3.56 + 3*t^4.29 + 2*t^4.42 + t^4.55 + t^4.71 + 2*t^4.85 + t^4.98 + 2*t^5.01 + 3*t^5.14 + t^5.28 + t^5.41 + 4*t^5.57 + 4*t^5.71 + t^5.73 + t^5.84 - 2*t^6. - t^4.29/y - t^4.29*y | detail | |
| 4375 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6168 | 0.7933 | 0.7775 | [X:[], M:[0.8242, 1.1429, 0.8901, 0.7143, 1.0, 1.2857, 0.7143, 0.7472], q:[0.8736, 0.3022], qb:[0.4121, 0.6978], phi:[0.4286]] | 2*t^2.14 + t^2.24 + t^2.47 + t^2.67 + t^3. + t^3.1 + 2*t^3.43 + 3*t^4.29 + 2*t^4.38 + t^4.48 + 2*t^4.62 + 2*t^4.71 + 2*t^4.81 + t^4.91 + t^4.95 + 3*t^5.14 + 3*t^5.24 + 2*t^5.34 + t^5.47 + 4*t^5.57 + 2*t^5.67 + t^5.77 + t^5.9 - 2*t^6. - t^4.29/y - t^4.29*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 |
|---|
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.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 1330 | 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_5^2$ + $ M_6M_7$ | 0.7002 | 0.8574 | 0.8166 | [X:[], M:[0.9664, 1.0309, 0.9719, 0.9383, 1.0, 1.0617, 0.9383], q:[0.5785, 0.4551], qb:[0.4832, 0.5449], phi:[0.4846]] | 2*t^2.81 + t^2.9 + t^2.92 + t^3. + t^3.09 + t^3.37 + t^4.18 + t^4.27 + t^4.35 + t^4.45 + t^4.54 + t^4.55 + t^4.64 + t^4.72 + t^4.82 + t^4.92 + 2*t^5.63 + t^5.71 + t^5.73 + t^5.8 + 2*t^5.81 + t^5.83 + 2*t^5.91 + t^5.99 - 3*t^6. - t^4.45/y - t^4.45*y | detail |