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 |
|---|---|---|---|---|---|---|---|---|---|
| 4129 | 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_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1^2$ + $ M_1M_7$ + $ M_8q_1q_2$ | 0.6959 | 0.8686 | 0.8011 | [X:[], M:[1.0141, 1.1111, 0.9859, 0.7637, 0.6948, 1.1111, 0.9859, 0.7918], q:[0.7778, 0.4304], qb:[0.5556, 0.4585], phi:[0.4444]] | [X:[], M:[[1], [0], [-1], [-1], [2], [0], [-1], [1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_8$, $ M_3$, $ M_7$, $ M_2$, $ M_6$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_8$, $ M_4^2$, $ M_4M_8$, $ \phi_1\tilde{q}_1^2$, $ M_8^2$, $ M_3M_5$, $ M_5M_7$, $ M_3M_4$, $ M_4M_7$, $ M_3M_8$, $ M_7M_8$, $ M_2M_5$, $ M_5M_6$, $ M_2M_4$, $ M_4M_6$, $ M_2M_8$, $ M_6M_8$, $ M_3^2$, $ M_3M_7$, $ M_7^2$ | . | -3 | t^2.08 + t^2.29 + t^2.38 + 2*t^2.96 + 2*t^3.33 + 2*t^4. + t^4.08 + t^4.17 + t^4.29 + 2*t^4.38 + t^4.46 + t^4.58 + 2*t^4.67 + t^4.75 + 2*t^5.04 + 2*t^5.25 + 2*t^5.33 + 2*t^5.42 + t^5.62 + t^5.71 + 2*t^5.92 - 3*t^6. + t^6.08 + t^6.17 + t^6.25 + 4*t^6.29 + 2*t^6.38 + 3*t^6.46 + t^6.54 + t^6.58 + 3*t^6.67 + 3*t^6.75 + t^6.84 + t^6.87 + 3*t^6.96 + t^7.04 + 3*t^7.13 + 4*t^7.33 + 2*t^7.42 + 2*t^7.5 + 2*t^7.54 + 3*t^7.62 + 2*t^7.71 + t^7.79 + 3*t^8. - t^8.08 + 2*t^8.17 + 2*t^8.21 + t^8.25 - 2*t^8.29 + t^8.34 + 2*t^8.46 + 3*t^8.54 + 2*t^8.58 + t^8.63 + 4*t^8.67 + 5*t^8.75 + 4*t^8.84 + 3*t^8.87 + t^8.92 - 3*t^8.96 - t^4.33/y - t^6.42/y - t^6.62/y - t^6.71/y + t^7./y - t^7.29/y + (2*t^7.38)/y + t^7.46/y + t^7.96/y + (3*t^8.04)/y + (3*t^8.25)/y + (2*t^8.33)/y + (2*t^8.42)/y - t^8.5/y + (2*t^8.62)/y + t^8.71/y - t^8.79/y - t^4.33*y - t^6.42*y - t^6.62*y - t^6.71*y + t^7.*y - t^7.29*y + 2*t^7.38*y + t^7.46*y + t^7.96*y + 3*t^8.04*y + 3*t^8.25*y + 2*t^8.33*y + 2*t^8.42*y - t^8.5*y + 2*t^8.62*y + t^8.71*y - t^8.79*y | g1^2*t^2.08 + t^2.29/g1 + g1*t^2.38 + (2*t^2.96)/g1 + 2*t^3.33 + 2*t^4. + g1^2*t^4.08 + g1^4*t^4.17 + t^4.29/g1 + 2*g1*t^4.38 + g1^3*t^4.46 + t^4.58/g1^2 + 2*t^4.67 + g1^2*t^4.75 + 2*g1*t^5.04 + (2*t^5.25)/g1^2 + 2*t^5.33 + 2*g1^2*t^5.42 + t^5.62/g1 + g1*t^5.71 + (2*t^5.92)/g1^2 - 3*t^6. + g1^2*t^6.08 + g1^4*t^6.17 + g1^6*t^6.25 + (4*t^6.29)/g1 + 2*g1*t^6.38 + 3*g1^3*t^6.46 + g1^5*t^6.54 + t^6.58/g1^2 + 3*t^6.67 + 3*g1^2*t^6.75 + g1^4*t^6.84 + t^6.87/g1^3 + (3*t^6.96)/g1 + g1*t^7.04 + 3*g1^3*t^7.13 + 4*t^7.33 + 2*g1^2*t^7.42 + 2*g1^4*t^7.5 + (2*t^7.54)/g1^3 + (3*t^7.62)/g1 + 2*g1*t^7.71 + g1^3*t^7.79 + 3*t^8. - g1^2*t^8.08 + 2*g1^4*t^8.17 + (2*t^8.21)/g1^3 + g1^6*t^8.25 - (2*t^8.29)/g1 + g1^8*t^8.34 + 2*g1^3*t^8.46 + 3*g1^5*t^8.54 + (2*t^8.58)/g1^2 + g1^7*t^8.63 + 4*t^8.67 + 5*g1^2*t^8.75 + 4*g1^4*t^8.84 + (3*t^8.87)/g1^3 + g1^6*t^8.92 - (3*t^8.96)/g1 - t^4.33/y - (g1^2*t^6.42)/y - t^6.62/(g1*y) - (g1*t^6.71)/y + t^7./y - t^7.29/(g1*y) + (2*g1*t^7.38)/y + (g1^3*t^7.46)/y + t^7.96/(g1*y) + (3*g1*t^8.04)/y + (3*t^8.25)/(g1^2*y) + (2*t^8.33)/y + (2*g1^2*t^8.42)/y - (g1^4*t^8.5)/y + (2*t^8.62)/(g1*y) + (g1*t^8.71)/y - (g1^3*t^8.79)/y - t^4.33*y - g1^2*t^6.42*y - (t^6.62*y)/g1 - g1*t^6.71*y + t^7.*y - (t^7.29*y)/g1 + 2*g1*t^7.38*y + g1^3*t^7.46*y + (t^7.96*y)/g1 + 3*g1*t^8.04*y + (3*t^8.25*y)/g1^2 + 2*t^8.33*y + 2*g1^2*t^8.42*y - g1^4*t^8.5*y + (2*t^8.62*y)/g1 + g1*t^8.71*y - g1^3*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 5642 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1^2$ + $ M_1M_7$ + $ M_8q_1q_2$ + $ M_2M_9$ | 0.7059 | 0.8856 | 0.7971 | [X:[], M:[1.0141, 1.1111, 0.9859, 0.7637, 0.6948, 1.1111, 0.9859, 0.7918, 0.8889], q:[0.7778, 0.4304], qb:[0.5556, 0.4585], phi:[0.4444]] | t^2.08 + t^2.29 + t^2.38 + t^2.67 + 2*t^2.96 + t^3.33 + 2*t^4. + t^4.08 + t^4.17 + t^4.29 + 2*t^4.38 + t^4.46 + t^4.58 + 2*t^4.67 + 2*t^4.75 + t^4.96 + 3*t^5.04 + 2*t^5.25 + 3*t^5.33 + t^5.42 + 2*t^5.62 + 2*t^5.92 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 5634 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1^2$ + $ M_1M_7$ + $ M_8q_1q_2$ + $ M_5M_8$ + $ M_4X_1$ | 0.5902 | 0.7267 | 0.8121 | [X:[1.4074], M:[1.1852, 1.1111, 0.8148, 0.5926, 1.037, 1.1111, 0.8148, 0.963], q:[0.7778, 0.2593], qb:[0.5556, 0.6296], phi:[0.4444]] | 2*t^2.44 + t^2.89 + t^3.11 + 2*t^3.33 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + 3*t^4.89 + 2*t^5.33 + 2*t^5.56 + 3*t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 20651/34992, c: 12715/17496, X1: 38/27, M1: 32/27, M2: 10/9, M3: 22/27, M4: 16/27, M5: 28/27, M6: 10/9, M7: 22/27, M8: 26/27, q1: 7/9, q2: 7/27, qb1: 5/9, qb2: 17/27, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2154 | 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_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1^2$ + $ M_1M_7$ | 0.6792 | 0.8389 | 0.8096 | [X:[], M:[1.0233, 1.1111, 0.9767, 0.7545, 0.7133, 1.1111, 0.9767], q:[0.7778, 0.4211], qb:[0.5556, 0.4678], phi:[0.4444]] | t^2.14 + t^2.26 + 2*t^2.93 + 2*t^3.33 + t^3.6 + 2*t^4. + t^4.14 + t^4.26 + t^4.28 + 2*t^4.4 + t^4.53 + t^4.67 + 2*t^5.07 + 2*t^5.19 + 2*t^5.47 + t^5.6 + 3*t^5.86 - 3*t^6. - t^4.33/y - t^4.33*y | detail |