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 |
|---|---|---|---|---|---|---|---|---|---|
| 4343 | 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_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_3M_4$ | 0.6987 | 0.8593 | 0.8131 | [X:[], M:[1.0307, 1.0154, 0.9385, 1.0615, 0.9078, 1.0, 0.9693, 0.9693], q:[0.4539, 0.5154], qb:[0.4846, 0.5769], phi:[0.4923]] | [X:[], M:[[4], [2], [-8], [8], [-12], [0], [-4], [-4]], q:[[-6], [2]], qb:[[-2], [10]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_7$, $ M_8$, $ M_6$, $ M_2$, $ M_4$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_3M_5$, $ M_3^2$, $ M_5M_7$, $ M_5M_8$, $ M_5M_6$, $ M_3M_7$, $ M_3M_8$, $ M_2M_5$, $ M_3M_6$, $ M_7^2$, $ M_7M_8$, $ M_8^2$, $ M_2M_3$, $ M_4M_5$, $ M_6M_7$, $ M_6M_8$, $ M_2M_7$, $ M_2M_8$ | . | -2 | t^2.72 + t^2.82 + 2*t^2.91 + t^3. + t^3.05 + t^3.18 + t^4.2 + t^4.29 + 2*t^4.38 + t^4.48 + 2*t^4.57 + t^4.66 + t^4.75 + t^4.94 + t^5.45 + t^5.54 + 2*t^5.63 + 2*t^5.72 + t^5.77 + 2*t^5.82 + t^5.86 + t^5.91 + 2*t^5.95 - 2*t^6. + t^6.05 - t^6.18 + t^6.23 - t^6.28 + t^6.92 + 2*t^7.02 + 4*t^7.11 + 4*t^7.2 + 5*t^7.29 + 4*t^7.38 + 3*t^7.48 + 2*t^7.57 + t^7.66 + t^7.75 + t^7.85 + t^7.94 + t^8.12 + t^8.17 + t^8.26 + 2*t^8.35 + t^8.4 + 2*t^8.45 + 2*t^8.49 + 2*t^8.54 + 3*t^8.58 + t^8.63 + 4*t^8.68 - 2*t^8.72 + 6*t^8.77 - 4*t^8.82 + 5*t^8.86 - 7*t^8.91 + 5*t^8.95 - t^4.48/y - t^7.2/y - t^7.38/y + t^7.57/y + t^7.75/y + t^8.54/y + (2*t^8.63)/y + (3*t^8.72)/y + t^8.77/y + (2*t^8.82)/y + t^8.86/y + (3*t^8.91)/y + (2*t^8.95)/y - t^4.48*y - t^7.2*y - t^7.38*y + t^7.57*y + t^7.75*y + t^8.54*y + 2*t^8.63*y + 3*t^8.72*y + t^8.77*y + 2*t^8.82*y + t^8.86*y + 3*t^8.91*y + 2*t^8.95*y | t^2.72/g1^12 + t^2.82/g1^8 + (2*t^2.91)/g1^4 + t^3. + g1^2*t^3.05 + g1^8*t^3.18 + t^4.2/g1^13 + t^4.29/g1^9 + (2*t^4.38)/g1^5 + t^4.48/g1 + 2*g1^3*t^4.57 + g1^7*t^4.66 + g1^11*t^4.75 + g1^19*t^4.94 + t^5.45/g1^24 + t^5.54/g1^20 + (2*t^5.63)/g1^16 + (2*t^5.72)/g1^12 + t^5.77/g1^10 + (2*t^5.82)/g1^8 + t^5.86/g1^6 + t^5.91/g1^4 + (2*t^5.95)/g1^2 - 2*t^6. + g1^2*t^6.05 - g1^8*t^6.18 + g1^10*t^6.23 - g1^12*t^6.28 + t^6.92/g1^25 + (2*t^7.02)/g1^21 + (4*t^7.11)/g1^17 + (4*t^7.2)/g1^13 + (5*t^7.29)/g1^9 + (4*t^7.38)/g1^5 + (3*t^7.48)/g1 + 2*g1^3*t^7.57 + g1^7*t^7.66 + g1^11*t^7.75 + g1^15*t^7.85 + g1^19*t^7.94 + g1^27*t^8.12 + t^8.17/g1^36 + t^8.26/g1^32 + (2*t^8.35)/g1^28 + t^8.4/g1^26 + (2*t^8.45)/g1^24 + (2*t^8.49)/g1^22 + (2*t^8.54)/g1^20 + (3*t^8.58)/g1^18 + t^8.63/g1^16 + (4*t^8.68)/g1^14 - (2*t^8.72)/g1^12 + (6*t^8.77)/g1^10 - (4*t^8.82)/g1^8 + (5*t^8.86)/g1^6 - (7*t^8.91)/g1^4 + (5*t^8.95)/g1^2 - t^4.48/(g1*y) - t^7.2/(g1^13*y) - t^7.38/(g1^5*y) + (g1^3*t^7.57)/y + (g1^11*t^7.75)/y + t^8.54/(g1^20*y) + (2*t^8.63)/(g1^16*y) + (3*t^8.72)/(g1^12*y) + t^8.77/(g1^10*y) + (2*t^8.82)/(g1^8*y) + t^8.86/(g1^6*y) + (3*t^8.91)/(g1^4*y) + (2*t^8.95)/(g1^2*y) - (t^4.48*y)/g1 - (t^7.2*y)/g1^13 - (t^7.38*y)/g1^5 + g1^3*t^7.57*y + g1^11*t^7.75*y + (t^8.54*y)/g1^20 + (2*t^8.63*y)/g1^16 + (3*t^8.72*y)/g1^12 + (t^8.77*y)/g1^10 + (2*t^8.82*y)/g1^8 + (t^8.86*y)/g1^6 + (3*t^8.91*y)/g1^4 + (2*t^8.95*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5788 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_3M_4$ + $ M_3M_9$ | 0.6941 | 0.8506 | 0.816 | [X:[], M:[1.0188, 1.0094, 0.9624, 1.0376, 0.9436, 1.0, 0.9812, 0.9812, 1.0376], q:[0.4718, 0.5094], qb:[0.4906, 0.547], phi:[0.4953]] | t^2.83 + 2*t^2.94 + t^3. + t^3.03 + 2*t^3.11 + t^4.32 + t^4.37 + 2*t^4.43 + t^4.49 + 2*t^4.54 + t^4.6 + t^4.66 + t^4.77 + t^5.66 + t^5.77 + t^5.86 + t^5.89 + 2*t^5.94 + 2*t^5.97 - 3*t^6. - t^4.49/y - t^4.49*y | detail | |
| 5790 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_3M_4$ + $ M_4M_9$ | 0.7054 | 0.8729 | 0.8082 | [X:[], M:[1.042, 1.021, 0.9159, 1.0841, 0.8739, 1.0, 0.958, 0.958, 0.9159], q:[0.4369, 0.521], qb:[0.479, 0.6051], phi:[0.4895]] | t^2.62 + 2*t^2.75 + 2*t^2.87 + t^3. + t^3.06 + t^4.09 + t^4.22 + 2*t^4.34 + t^4.47 + 2*t^4.59 + t^4.72 + t^4.85 + t^5.1 + t^5.24 + 2*t^5.37 + 4*t^5.5 + 4*t^5.62 + t^5.68 + 3*t^5.75 + 2*t^5.81 + 2*t^5.94 - 3*t^6. - t^4.47/y - t^4.47*y | detail | |
| 5789 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_3M_4$ + $ M_7M_9$ | 0.6961 | 0.8543 | 0.8148 | [X:[], M:[1.0247, 1.0124, 0.9505, 1.0495, 0.9258, 1.0, 0.9753, 0.9753, 1.0247], q:[0.4629, 0.5124], qb:[0.4876, 0.5618], phi:[0.4938]] | t^2.78 + t^2.85 + t^2.93 + t^3. + t^3.04 + t^3.07 + t^3.15 + t^4.26 + t^4.33 + 2*t^4.41 + t^4.48 + 2*t^4.56 + t^4.63 + t^4.7 + t^4.85 + t^5.55 + t^5.63 + t^5.7 + t^5.78 + t^5.81 + t^5.85 + t^5.89 + t^5.93 + t^5.96 - 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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2349 | 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_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ | 0.7136 | 0.8827 | 0.8084 | [X:[], M:[1.0914, 1.0457, 0.8172, 0.9603, 0.9483, 1.0, 0.9086, 0.9086], q:[0.4742, 0.4344], qb:[0.5656, 0.6173], phi:[0.4771]] | t^2.45 + 2*t^2.73 + t^2.84 + t^2.88 + t^3. + t^3.14 + t^4.04 + t^4.16 + t^4.28 + t^4.43 + t^4.55 + t^4.59 + t^4.71 + t^4.82 + t^4.9 + t^4.98 + t^5.13 + 2*t^5.18 + t^5.3 + t^5.33 + 3*t^5.45 + t^5.57 + t^5.59 + t^5.61 + t^5.69 + 2*t^5.73 + t^5.76 + 2*t^5.86 + t^5.98 - 3*t^6. - t^4.43/y - t^4.43*y | detail |