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 |
|---|---|---|---|---|---|---|---|---|---|
| 3175 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.6294 | 0.8148 | 0.7724 | [X:[], M:[0.8901, 0.8242, 1.0, 0.7143, 1.2857, 0.7143, 0.7472], q:[0.6978, 0.4121], qb:[0.3022, 0.8736], phi:[0.4286]] | [X:[], M:[[2], [-2], [0], [0], [0], [0], [2]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_7$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ M_6M_7$, $ M_7^2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_2M_7$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_6$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ M_2^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_7$, $ M_1\phi_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_2M_3$, $ \phi_1q_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_1M_3$, $ M_7\phi_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ M_1\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | 2*t^2.14 + t^2.24 + t^2.47 + t^2.57 + t^2.67 + t^3. + t^3.1 + t^3.43 + 3*t^4.29 + 2*t^4.38 + t^4.48 + 2*t^4.62 + 4*t^4.71 + 3*t^4.81 + t^4.91 + t^4.95 + t^5.04 + 4*t^5.14 + 4*t^5.24 + 2*t^5.34 + t^5.47 + 3*t^5.57 + 2*t^5.67 + t^5.77 - t^6. + t^6.1 + t^6.2 - t^6.33 + 3*t^6.43 + 3*t^6.53 + 2*t^6.63 + t^6.72 + 2*t^6.76 + 4*t^6.86 + 5*t^6.96 + 3*t^7.05 + 2*t^7.09 + t^7.15 + 2*t^7.19 + 6*t^7.29 + 9*t^7.38 + t^7.42 + 6*t^7.48 + t^7.52 + 2*t^7.58 + 3*t^7.62 + 7*t^7.71 + 7*t^7.81 + 5*t^7.91 + t^7.95 + 2*t^8.01 - 2*t^8.14 + t^8.24 + 4*t^8.34 + 2*t^8.44 - 5*t^8.47 + t^8.67 + 4*t^8.77 - t^8.8 + 3*t^8.87 - t^8.9 + t^8.97 - t^4.29/y - t^6.43/y - t^6.53/y - t^6.76/y - t^6.86/y - t^6.96/y + t^7.29/y + (2*t^7.38)/y + (3*t^7.62)/y + (4*t^7.71)/y + (4*t^7.81)/y + t^7.91/y + (2*t^8.04)/y + (4*t^8.14)/y + (4*t^8.24)/y + t^8.34/y + t^8.47/y + (3*t^8.57)/y + (2*t^8.67)/y - t^4.29*y - t^6.43*y - t^6.53*y - t^6.76*y - t^6.86*y - t^6.96*y + t^7.29*y + 2*t^7.38*y + 3*t^7.62*y + 4*t^7.71*y + 4*t^7.81*y + t^7.91*y + 2*t^8.04*y + 4*t^8.14*y + 4*t^8.24*y + t^8.34*y + t^8.47*y + 3*t^8.57*y + 2*t^8.67*y | 2*t^2.14 + g1^2*t^2.24 + t^2.47/g1^2 + t^2.57 + g1^2*t^2.67 + t^3. + g1^2*t^3.1 + t^3.43 + 3*t^4.29 + 2*g1^2*t^4.38 + g1^4*t^4.48 + (2*t^4.62)/g1^2 + 4*t^4.71 + 3*g1^2*t^4.81 + g1^4*t^4.91 + t^4.95/g1^4 + t^5.04/g1^2 + 4*t^5.14 + 4*g1^2*t^5.24 + 2*g1^4*t^5.34 + t^5.47/g1^2 + 3*t^5.57 + 2*g1^2*t^5.67 + g1^4*t^5.77 - t^6. + g1^2*t^6.1 + g1^4*t^6.2 - t^6.33/g1^2 + 3*t^6.43 + 3*g1^2*t^6.53 + 2*g1^4*t^6.63 + g1^6*t^6.72 + (2*t^6.76)/g1^2 + 4*t^6.86 + 5*g1^2*t^6.96 + 3*g1^4*t^7.05 + (2*t^7.09)/g1^4 + g1^6*t^7.15 + (2*t^7.19)/g1^2 + 6*t^7.29 + 9*g1^2*t^7.38 + t^7.42/g1^6 + 6*g1^4*t^7.48 + t^7.52/g1^4 + 2*g1^6*t^7.58 + (3*t^7.62)/g1^2 + 7*t^7.71 + 7*g1^2*t^7.81 + 5*g1^4*t^7.91 + t^7.95/g1^4 + 2*g1^6*t^8.01 - 2*t^8.14 + g1^2*t^8.24 + 4*g1^4*t^8.34 + 2*g1^6*t^8.44 - (5*t^8.47)/g1^2 + g1^2*t^8.67 + 4*g1^4*t^8.77 - t^8.8/g1^4 + 3*g1^6*t^8.87 - t^8.9/g1^2 + g1^8*t^8.97 - t^4.29/y - t^6.43/y - (g1^2*t^6.53)/y - t^6.76/(g1^2*y) - t^6.86/y - (g1^2*t^6.96)/y + t^7.29/y + (2*g1^2*t^7.38)/y + (3*t^7.62)/(g1^2*y) + (4*t^7.71)/y + (4*g1^2*t^7.81)/y + (g1^4*t^7.91)/y + (2*t^8.04)/(g1^2*y) + (4*t^8.14)/y + (4*g1^2*t^8.24)/y + (g1^4*t^8.34)/y + t^8.47/(g1^2*y) + (3*t^8.57)/y + (2*g1^2*t^8.67)/y - t^4.29*y - t^6.43*y - g1^2*t^6.53*y - (t^6.76*y)/g1^2 - t^6.86*y - g1^2*t^6.96*y + t^7.29*y + 2*g1^2*t^7.38*y + (3*t^7.62*y)/g1^2 + 4*t^7.71*y + 4*g1^2*t^7.81*y + g1^4*t^7.91*y + (2*t^8.04*y)/g1^2 + 4*t^8.14*y + 4*g1^2*t^8.24*y + g1^4*t^8.34*y + (t^8.47*y)/g1^2 + 3*t^8.57*y + 2*g1^2*t^8.67*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 |
|---|---|---|---|---|---|---|---|---|
| 5050 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_1M_7$ + $ M_2X_1$ | 0.5717 | 0.7234 | 0.7902 | [X:[1.3571], M:[1.0714, 0.6429, 1.0, 0.7143, 1.2857, 0.7143, 0.9286], q:[0.6071, 0.3214], qb:[0.3929, 0.9643], phi:[0.4286]] | 2*t^2.14 + t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.43 + t^3.64 + t^4.07 + 3*t^4.29 + 3*t^4.71 + 2*t^4.93 + 3*t^5.14 + 2*t^5.36 + 3*t^5.57 + 3*t^5.79 - t^4.29/y - t^4.29*y | detail | {a: 12549/21952, c: 15881/21952, X1: 19/14, M1: 15/14, M2: 9/14, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, M7: 13/14, q1: 17/28, q2: 9/28, qb1: 11/28, qb2: 27/28, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2100 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.6106 | 0.7803 | 0.7826 | [X:[], M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857, 0.7143], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], phi:[0.4286]] | 2*t^2.14 + t^2.41 + t^2.57 + t^2.73 + t^3. + t^3.16 + t^3.43 + t^3.7 + 3*t^4.29 + 2*t^4.55 + 3*t^4.71 + t^4.82 + 2*t^4.88 + t^4.98 + 4*t^5.14 + 3*t^5.3 + t^5.41 + t^5.46 + 3*t^5.57 + t^5.73 + 2*t^5.84 + t^5.89 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 53619/87808, c: 68515/87808, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, q1: 11/16, q2: 45/112, qb1: 5/16, qb2: 99/112, phi1: 3/7} |