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 |
|---|---|---|---|---|---|---|---|---|---|
| 1089 | 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.7031 | 0.883 | 0.7963 | [X:[], M:[1.0063, 1.1227, 0.9418, 0.684, 0.7484, 0.8129], q:[0.7807, 0.4064], qb:[0.5873, 0.4709], phi:[0.4387]] | [X:[], M:[[32], [-12], [22], [-18], [-8], [2]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 | {a: 2701375/3841992, c: 424037/480249, M1: 2092/2079, M2: 778/693, M3: 178/189, M4: 158/231, M5: 1556/2079, M6: 1690/2079, q1: 541/693, q2: 845/2079, qb1: 37/63, qb2: 89/189, phi1: 304/693} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_6^2$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_3M_5$, $ M_6\phi_1^2$, $ M_1M_5$, $ M_3M_6$, $ \phi_1^4$, $ M_2M_4$, $ M_1M_6$, $ M_3\phi_1^2$, $ M_2M_5$, $ M_3^2$, $ M_1\phi_1^2$, $ M_2M_6$, $ M_4q_1\tilde{q}_2$, $ M_1M_3$ | . | -1 | t^2.05 + t^2.25 + t^2.44 + t^2.63 + t^2.83 + t^3.02 + t^3.37 + t^3.75 + 2*t^4.1 + t^4.14 + 2*t^4.3 + 3*t^4.49 + 2*t^4.68 + t^4.84 + 3*t^4.88 + 3*t^5.07 + 3*t^5.26 + t^5.42 + t^5.46 + t^5.61 + t^5.65 + t^5.81 + t^5.84 - t^6. + t^6.04 + 2*t^6.16 + t^6.19 + 2*t^6.35 + 2*t^6.39 + 4*t^6.54 + t^6.58 + 5*t^6.74 + t^6.77 + t^6.89 + 5*t^6.93 + t^7.09 + 5*t^7.12 + t^7.16 + t^7.28 + 5*t^7.32 + 2*t^7.47 + 5*t^7.51 + t^7.67 + 3*t^7.7 + 2*t^7.86 + 4*t^7.9 - 2*t^8.05 + 3*t^8.09 + 3*t^8.21 - t^8.25 + 3*t^8.28 + 2*t^8.4 - 2*t^8.44 + 2*t^8.48 + 5*t^8.59 + t^8.63 + t^8.67 + 4*t^8.79 - 2*t^8.83 + t^8.86 + 2*t^8.94 + 8*t^8.98 - t^4.32/y - t^6.37/y - t^6.56/y - t^6.75/y - t^7.14/y + (2*t^7.3)/y - t^7.33/y + (2*t^7.49)/y + (2*t^7.68)/y + (3*t^7.88)/y + (4*t^8.07)/y + (3*t^8.26)/y + (2*t^8.46)/y + t^8.65/y + t^8.84/y - t^4.32*y - t^6.37*y - t^6.56*y - t^6.75*y - t^7.14*y + 2*t^7.3*y - t^7.33*y + 2*t^7.49*y + 2*t^7.68*y + 3*t^7.88*y + 4*t^8.07*y + 3*t^8.26*y + 2*t^8.46*y + t^8.65*y + t^8.84*y | t^2.05/g1^18 + t^2.25/g1^8 + g1^2*t^2.44 + g1^12*t^2.63 + g1^22*t^2.83 + g1^32*t^3.02 + t^3.37/g1^12 + g1^8*t^3.75 + (2*t^4.1)/g1^36 + g1^28*t^4.14 + (2*t^4.3)/g1^26 + (3*t^4.49)/g1^16 + (2*t^4.68)/g1^6 + t^4.84/g1^60 + 3*g1^4*t^4.88 + 3*g1^14*t^5.07 + 3*g1^24*t^5.26 + t^5.42/g1^30 + g1^34*t^5.46 + t^5.61/g1^20 + g1^44*t^5.65 + t^5.81/g1^10 + g1^54*t^5.84 - t^6. + g1^64*t^6.04 + (2*t^6.16)/g1^54 + g1^10*t^6.19 + (2*t^6.35)/g1^44 + 2*g1^20*t^6.39 + (4*t^6.54)/g1^34 + g1^30*t^6.58 + (5*t^6.74)/g1^24 + g1^40*t^6.77 + t^6.89/g1^78 + (5*t^6.93)/g1^14 + t^7.09/g1^68 + (5*t^7.12)/g1^4 + g1^60*t^7.16 + t^7.28/g1^58 + 5*g1^6*t^7.32 + (2*t^7.47)/g1^48 + 5*g1^16*t^7.51 + t^7.67/g1^38 + 3*g1^26*t^7.7 + (2*t^7.86)/g1^28 + 4*g1^36*t^7.9 - (2*t^8.05)/g1^18 + 3*g1^46*t^8.09 + (3*t^8.21)/g1^72 - t^8.25/g1^8 + 3*g1^56*t^8.28 + (2*t^8.4)/g1^62 - 2*g1^2*t^8.44 + 2*g1^66*t^8.48 + (5*t^8.59)/g1^52 + g1^12*t^8.63 + g1^76*t^8.67 + (4*t^8.79)/g1^42 - 2*g1^22*t^8.83 + g1^86*t^8.86 + (2*t^8.94)/g1^96 + (8*t^8.98)/g1^32 - (g1^6*t^4.32)/y - t^6.37/(g1^12*y) - t^6.56/(g1^2*y) - (g1^8*t^6.75)/y - (g1^28*t^7.14)/y + (2*t^7.3)/(g1^26*y) - (g1^38*t^7.33)/y + (2*t^7.49)/(g1^16*y) + (2*t^7.68)/(g1^6*y) + (3*g1^4*t^7.88)/y + (4*g1^14*t^8.07)/y + (3*g1^24*t^8.26)/y + (2*g1^34*t^8.46)/y + (g1^44*t^8.65)/y + (g1^54*t^8.84)/y - g1^6*t^4.32*y - (t^6.37*y)/g1^12 - (t^6.56*y)/g1^2 - g1^8*t^6.75*y - g1^28*t^7.14*y + (2*t^7.3*y)/g1^26 - g1^38*t^7.33*y + (2*t^7.49*y)/g1^16 + (2*t^7.68*y)/g1^6 + 3*g1^4*t^7.88*y + 4*g1^14*t^8.07*y + 3*g1^24*t^8.26*y + 2*g1^34*t^8.46*y + g1^44*t^8.65*y + g1^54*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 1691 | $\phi_1q_1^2$ + $ 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_4X_1$ | 0.6779 | 0.8353 | 0.8115 | [X:[1.3337], M:[1.0377, 1.1109, 0.9634, 0.6663, 0.7406, 0.8149, 1.0366], q:[0.7777, 0.4074], qb:[0.5549, 0.4817], phi:[0.4446]] | t^2.22 + t^2.44 + t^2.67 + 2*t^3.11 + t^3.33 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + t^4.66 + t^4.67 + 2*t^4.89 + t^5.11 + 3*t^5.33 + 2*t^5.55 + t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 1692 | $\phi_1q_1^2$ + $ 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_4M_7$ | 0.6824 | 0.8425 | 0.8099 | [X:[], M:[1.0033, 1.1237, 0.9398, 0.6856, 0.7492, 0.8127, 1.3144], q:[0.7809, 0.4064], qb:[0.5903, 0.4699], phi:[0.4381]] | t^2.25 + t^2.44 + t^2.63 + t^2.82 + t^3.01 + t^3.37 + t^3.75 + t^3.94 + t^4.11 + t^4.13 + t^4.3 + 2*t^4.49 + t^4.69 + t^4.86 + 2*t^4.88 + 2*t^5.07 + 3*t^5.26 + t^5.45 + t^5.62 + t^5.64 + t^5.83 - t^6. - t^4.31/y - t^4.31*y | detail | |
| 1693 | $\phi_1q_1^2$ + $ 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ | 0.7222 | 0.918 | 0.7868 | [X:[], M:[1.0112, 1.1208, 0.9452, 0.6812, 0.7472, 0.8132, 0.7472], q:[0.7802, 0.4066], qb:[0.5822, 0.4726], phi:[0.4396]] | t^2.04 + 2*t^2.24 + t^2.44 + t^2.64 + t^2.84 + t^3.03 + t^3.36 + 2*t^4.09 + t^4.15 + 3*t^4.29 + 5*t^4.48 + 3*t^4.68 + t^4.81 + 4*t^4.88 + 4*t^5.08 + 4*t^5.28 + t^5.41 + t^5.47 + 2*t^5.6 + t^5.67 + t^5.87 - 2*t^6. - t^4.32/y - t^4.32*y | detail | {a: 154491721/213903408, c: 98181703/106951704, M1: 6404/6333, M2: 2366/2111, M3: 5986/6333, M4: 1438/2111, M5: 4732/6333, M6: 5150/6333, M7: 4732/6333, q1: 1647/2111, q2: 2575/6333, qb1: 1229/2111, qb2: 2993/6333, phi1: 928/2111} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 677 | 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.6874 | 0.8556 | 0.8034 | [X:[], M:[1.0083, 1.1219, 0.9432, 0.6829, 0.7479], q:[0.7805, 0.4065], qb:[0.5852, 0.4716], phi:[0.439]] | t^2.05 + t^2.24 + t^2.63 + t^2.83 + t^3.02 + t^3.37 + t^3.56 + t^3.76 + 2*t^4.1 + t^4.15 + 2*t^4.29 + 2*t^4.49 + t^4.68 + t^4.83 + 2*t^4.88 + 2*t^5.07 + 2*t^5.27 + t^5.41 + 2*t^5.61 + t^5.66 + t^5.8 + t^5.85 - t^6. - t^4.32/y - t^4.32*y | detail | {a: 570746539/830269488, c: 355196641/415134744, M1: 12580/12477, M2: 4666/4159, M3: 11768/12477, M4: 2840/4159, M5: 9332/12477, q1: 3246/4159, q2: 5072/12477, qb1: 2434/4159, qb2: 5884/12477, phi1: 1826/4159} |