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 |
|---|---|---|---|---|---|---|---|---|---|
| 55040 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.5627 | 0.6956 | 0.8089 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429, 0.8731], q:[0.7063, 0.8651], qb:[0.2937, 0.4206], phi:[0.4286]] | [X:[[0]], M:[[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 |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_4M_5$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_6$, $ M_4q_2\tilde{q}_1$, $ M_6\phi_1\tilde{q}_1^2$ | . | -1 | t^2.14 + t^2.62 + t^3. + t^3.05 + 2*t^3.43 + t^3.48 + t^3.81 + t^3.86 + t^4.29 + t^4.71 + t^4.76 + t^5.14 + t^5.19 + t^5.24 + t^5.57 + t^5.62 + t^5.67 - t^6. + 2*t^6.05 + 2*t^6.1 - t^6.38 + 2*t^6.43 + 3*t^6.48 + t^6.52 + 2*t^6.86 + 2*t^6.91 + t^6.95 + t^7.29 + 2*t^7.33 + t^7.38 + t^7.62 + t^7.71 + t^7.76 + t^7.81 + t^7.86 - t^8.09 - t^8.14 + t^8.19 + 2*t^8.24 + t^8.29 - t^8.52 + t^8.57 - t^8.62 + 2*t^8.67 + 2*t^8.72 - t^8.95 - t^4.29/y - t^6.91/y + t^7.67/y + t^7.76/y + t^8.14/y + t^8.19/y + (2*t^8.57)/y + (2*t^8.62)/y + t^8.67/y + t^8.95/y - t^4.29*y - t^6.91*y + t^7.67*y + t^7.76*y + t^8.14*y + t^8.19*y + 2*t^8.57*y + 2*t^8.62*y + t^8.67*y + t^8.95*y | t^2.14 + t^2.62/g1^2 + t^3. + t^3.05/g1^2 + 2*t^3.43 + t^3.48/g1^2 + g1^2*t^3.81 + t^3.86 + t^4.29 + t^4.71 + t^4.76/g1^2 + t^5.14 + t^5.19/g1^2 + t^5.24/g1^4 + t^5.57 + t^5.62/g1^2 + t^5.67/g1^4 - t^6. + (2*t^6.05)/g1^2 + (2*t^6.1)/g1^4 - g1^2*t^6.38 + 2*t^6.43 + (3*t^6.48)/g1^2 + t^6.52/g1^4 + 2*t^6.86 + (2*t^6.91)/g1^2 + t^6.95/g1^4 + t^7.29 + (2*t^7.33)/g1^2 + t^7.38/g1^4 + g1^4*t^7.62 + t^7.71 + t^7.76/g1^2 + t^7.81/g1^4 + t^7.86/g1^6 - g1^2*t^8.09 - t^8.14 + t^8.19/g1^2 + (2*t^8.24)/g1^4 + t^8.29/g1^6 - g1^2*t^8.52 + t^8.57 - t^8.62/g1^2 + (2*t^8.67)/g1^4 + (2*t^8.72)/g1^6 - g1^2*t^8.95 - t^4.29/y - t^6.91/(g1^2*y) + (g1^2*t^7.67)/y + t^7.76/(g1^2*y) + t^8.14/y + t^8.19/(g1^2*y) + (2*t^8.57)/y + (2*t^8.62)/(g1^2*y) + t^8.67/(g1^4*y) + (g1^2*t^8.95)/y - t^4.29*y - (t^6.91*y)/g1^2 + g1^2*t^7.67*y + (t^7.76*y)/g1^2 + t^8.14*y + (t^8.19*y)/g1^2 + 2*t^8.57*y + (2*t^8.62*y)/g1^2 + (t^8.67*y)/g1^4 + g1^2*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 56687 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.5668 | 0.7007 | 0.8089 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429, 0.9286, 0.9286], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | t^2.14 + 2*t^2.79 + t^3. + 2*t^3.43 + 2*t^3.64 + t^3.86 + t^4.29 + t^4.71 + 2*t^4.93 + t^5.14 + 4*t^5.57 + 2*t^5.79 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 3555/6272, c: 4395/6272, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 8/7, M6: 13/14, M7: 13/14, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
| 56689 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.5827 | 0.7344 | 0.7935 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429, 0.858, 0.7152], q:[0.7138, 0.8576], qb:[0.2862, 0.4281], phi:[0.4286]] | t^2.14 + t^2.15 + t^2.57 + 2*t^3. + 3*t^3.43 + t^3.86 + 3*t^4.29 + t^4.71 + 2*t^4.72 + t^5.14 + 4*t^5.15 + 4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46800 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_2^2$ | 0.5536 | 0.6786 | 0.8158 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | t^2.14 + t^3. + 2*t^3.21 + 2*t^3.43 + 2*t^3.64 + t^3.86 + t^4.29 + t^4.71 + t^5.14 + 2*t^5.36 + t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 12153/21952, c: 14897/21952, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 8/7, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |