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 |
|---|---|---|---|---|---|---|---|---|---|
| 3060 | 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.5829 | 0.7337 | 0.7945 | [X:[1.5714], M:[0.7143, 1.1429, 1.0, 1.2857, 0.4286, 0.7143, 0.8731], q:[0.3651, 0.9206], qb:[0.3491, 0.6509], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [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 |
|---|---|---|---|---|
| $M_1$, $ M_6$, $ M_7$, $ M_3$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_6$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_1M_7$, $ M_6M_7$, $ M_1M_3$, $ M_3M_6$, $ \phi_1q_1q_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_7^2$, $ M_1M_2$, $ M_2M_6$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_3M_7$, $ M_6\phi_1q_1^2$, $ M_7q_1\tilde{q}_2$, $ M_6q_2\tilde{q}_1$ | . | -2 | 2*t^2.14 + t^2.62 + t^3. + t^3.05 + 2*t^3.43 + t^3.48 + t^3.81 + 3*t^4.29 + t^4.71 + 2*t^4.76 + 2*t^5.14 + 2*t^5.19 + t^5.24 + 3*t^5.57 + 2*t^5.62 + t^5.67 + t^5.95 - 2*t^6. + 2*t^6.05 + 2*t^6.1 - t^6.38 + 5*t^6.43 + 2*t^6.48 + t^6.52 + 2*t^6.86 + 3*t^6.91 + t^6.95 + t^7.29 + 3*t^7.33 + 2*t^7.38 + t^7.62 - t^7.67 + 3*t^7.71 + 3*t^7.76 + 2*t^7.81 + t^7.86 - 4*t^8.14 + 3*t^8.19 + 4*t^8.24 + t^8.29 - 2*t^8.52 + 5*t^8.57 + 3*t^8.67 + 2*t^8.72 - t^8.95 - t^4.29/y - t^6.43/y - t^6.91/y + t^7.29/y + t^7.67/y + (2*t^7.76)/y + (3*t^8.14)/y + (2*t^8.19)/y + (3*t^8.57)/y + (3*t^8.62)/y + t^8.67/y + (2*t^8.95)/y - t^4.29*y - t^6.43*y - t^6.91*y + t^7.29*y + t^7.67*y + 2*t^7.76*y + 3*t^8.14*y + 2*t^8.19*y + 3*t^8.57*y + 3*t^8.62*y + t^8.67*y + 2*t^8.95*y | 2*t^2.14 + g1^2*t^2.62 + t^3. + g1^2*t^3.05 + 2*t^3.43 + g1^2*t^3.48 + t^3.81/g1^2 + 3*t^4.29 + t^4.71 + 2*g1^2*t^4.76 + 2*t^5.14 + 2*g1^2*t^5.19 + g1^4*t^5.24 + 3*t^5.57 + 2*g1^2*t^5.62 + g1^4*t^5.67 + t^5.95/g1^2 - 2*t^6. + 2*g1^2*t^6.05 + 2*g1^4*t^6.1 - t^6.38/g1^2 + 5*t^6.43 + 2*g1^2*t^6.48 + g1^4*t^6.52 + 2*t^6.86 + 3*g1^2*t^6.91 + g1^4*t^6.95 + t^7.29 + 3*g1^2*t^7.33 + 2*g1^4*t^7.38 + t^7.62/g1^4 - t^7.67/g1^2 + 3*t^7.71 + 3*g1^2*t^7.76 + 2*g1^4*t^7.81 + g1^6*t^7.86 - 4*t^8.14 + 3*g1^2*t^8.19 + 4*g1^4*t^8.24 + g1^6*t^8.29 - (2*t^8.52)/g1^2 + 5*t^8.57 + 3*g1^4*t^8.67 + 2*g1^6*t^8.72 - t^8.95/g1^2 - t^4.29/y - t^6.43/y - (g1^2*t^6.91)/y + t^7.29/y + t^7.67/(g1^2*y) + (2*g1^2*t^7.76)/y + (3*t^8.14)/y + (2*g1^2*t^8.19)/y + (3*t^8.57)/y + (3*g1^2*t^8.62)/y + (g1^4*t^8.67)/y + (2*t^8.95)/(g1^2*y) - t^4.29*y - t^6.43*y - g1^2*t^6.91*y + t^7.29*y + (t^7.67*y)/g1^2 + 2*g1^2*t^7.76*y + 3*t^8.14*y + 2*g1^2*t^8.19*y + 3*t^8.57*y + 3*g1^2*t^8.62*y + g1^4*t^8.67*y + (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 |
|---|---|---|---|---|---|---|---|---|
| 4940 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.5804 | 0.7278 | 0.7976 | [X:[1.5714], M:[0.7143, 1.1429, 1.0, 1.2857, 0.4286, 0.7143, 0.9286], q:[0.3929, 0.8929], qb:[0.3214, 0.6786], phi:[0.4286]] | 2*t^2.14 + t^2.79 + t^3. + t^3.21 + 2*t^3.43 + 2*t^3.64 + 3*t^4.29 + t^4.71 + 2*t^4.93 + 2*t^5.14 + 2*t^5.36 + 4*t^5.57 + 3*t^5.79 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 7281/12544, c: 9129/12544, X1: 11/7, M1: 5/7, M2: 8/7, M3: 1, M4: 9/7, M5: 3/7, M6: 5/7, M7: 13/14, q1: 11/28, q2: 25/28, qb1: 9/28, qb2: 19/28, phi1: 3/7} |
| 4943 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_1^2$ | 0.5981 | 0.7588 | 0.7882 | [X:[1.5714], M:[0.7143, 1.1429, 1.0, 1.2857, 0.4286, 0.7143, 0.9107, 0.8036], q:[0.3839, 0.9018], qb:[0.3304, 0.6696], phi:[0.4286]] | 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^4.29/y - t^4.29*y | detail | {a: 52515/87808, c: 66627/87808, X1: 11/7, M1: 5/7, M2: 8/7, M3: 1, M4: 9/7, M5: 3/7, M6: 5/7, M7: 51/56, M8: 45/56, q1: 43/112, q2: 101/112, qb1: 37/112, qb2: 75/112, phi1: 3/7} |
| 4941 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8q_1\tilde{q}_2$ | 0.587 | 0.7388 | 0.7946 | [X:[1.5714], M:[0.7143, 1.1429, 1.0, 1.2857, 0.4286, 0.7143, 0.9286, 0.9286], q:[0.3929, 0.8929], qb:[0.3214, 0.6786], phi:[0.4286]] | 2*t^2.14 + 2*t^2.79 + t^3. + 2*t^3.43 + 2*t^3.64 + 3*t^4.29 + t^4.71 + 4*t^4.93 + 2*t^5.14 + 6*t^5.57 + 4*t^5.79 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 25773/43904, c: 32437/43904, X1: 11/7, M1: 5/7, M2: 8/7, M3: 1, M4: 9/7, M5: 3/7, M6: 5/7, M7: 13/14, M8: 13/14, q1: 11/28, q2: 25/28, qb1: 9/28, qb2: 19/28, phi1: 3/7} |
| 4944 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8q_2\tilde{q}_1$ | 0.603 | 0.7725 | 0.7805 | [X:[1.5714], M:[0.7143, 1.1429, 1.0, 1.2857, 0.4286, 0.7143, 0.858, 0.7152], q:[0.3576, 0.9281], qb:[0.3567, 0.6433], phi:[0.4286]] | 2*t^2.14 + t^2.15 + t^2.57 + 2*t^3. + 3*t^3.43 + 6*t^4.29 + t^4.71 + 3*t^4.72 + 2*t^5.14 + 5*t^5.15 + 7*t^5.57 + 2*t^5.58 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2013 | 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ | 0.5738 | 0.7167 | 0.8007 | [X:[1.5714], M:[0.7143, 1.1429, 1.0, 1.2857, 0.4286, 0.7143], q:[0.3929, 0.8929], qb:[0.3214, 0.6786], phi:[0.4286]] | 2*t^2.14 + t^3. + 2*t^3.21 + 2*t^3.43 + 2*t^3.64 + 3*t^4.29 + t^4.71 + 2*t^5.14 + 4*t^5.36 + 3*t^5.57 + 2*t^5.79 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 12597/21952, c: 15733/21952, X1: 11/7, M1: 5/7, M2: 8/7, M3: 1, M4: 9/7, M5: 3/7, M6: 5/7, q1: 11/28, q2: 25/28, qb1: 9/28, qb2: 19/28, phi1: 3/7} |