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 |
|---|---|---|---|---|---|---|---|---|---|
| 4286 | 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_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_2M_7$ + $ M_4M_5$ + $ M_3X_1$ | 0.5902 | 0.7297 | 0.8089 | [X:[1.3846], M:[1.0, 1.0769, 0.6154, 0.9231, 1.0769, 0.6923, 0.9231], q:[0.8077, 0.2692], qb:[0.7308, 0.6538], phi:[0.3846]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 399/676, c: 1973/2704, X1: 18/13, M1: 1, M2: 14/13, M3: 8/13, M4: 12/13, M5: 14/13, M6: 9/13, M7: 12/13, q1: 21/26, q2: 7/26, qb1: 19/26, qb2: 17/26, phi1: 5/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \phi_1^2$, $ M_4$, $ M_7$, $ M_1$, $ M_5$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ M_4M_6$, $ M_6M_7$, $ M_1M_6$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_5M_6$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_1^2$ | $M_5M_7$ | -1 | t^2.08 + t^2.31 + 2*t^2.77 + t^3. + t^3.23 + 3*t^4.15 + 2*t^4.38 + t^4.62 + t^4.85 + 4*t^5.08 + 3*t^5.31 + 4*t^5.54 - t^6. + 2*t^6.23 + 3*t^6.46 + t^6.69 + 3*t^6.92 + 3*t^7.15 + 5*t^7.38 + 4*t^7.62 + 4*t^7.85 - t^8.08 + 6*t^8.31 + 3*t^8.54 - t^8.77 - t^4.15/y - t^6.23/y - t^6.46/y + t^7.38/y + (3*t^7.85)/y + (4*t^8.08)/y + t^8.31/y + t^8.54/y + t^8.77/y - t^4.15*y - t^6.23*y - t^6.46*y + t^7.38*y + 3*t^7.85*y + 4*t^8.08*y + t^8.31*y + t^8.54*y + t^8.77*y | t^2.08 + t^2.31 + 2*t^2.77 + t^3. + t^3.23 + 3*t^4.15 + 2*t^4.38 + t^4.62 + t^4.85 + 4*t^5.08 + 3*t^5.31 + 4*t^5.54 - t^6. + 2*t^6.23 + 3*t^6.46 + t^6.69 + 3*t^6.92 + 3*t^7.15 + 5*t^7.38 + 4*t^7.62 + 4*t^7.85 - t^8.08 + 6*t^8.31 + 3*t^8.54 - t^8.77 - t^4.15/y - t^6.23/y - t^6.46/y + t^7.38/y + (3*t^7.85)/y + (4*t^8.08)/y + t^8.31/y + t^8.54/y + t^8.77/y - t^4.15*y - t^6.23*y - t^6.46*y + t^7.38*y + 3*t^7.85*y + 4*t^8.08*y + t^8.31*y + t^8.54*y + t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 5758 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_2M_7$ + $ M_4M_5$ + $ M_3X_1$ + $ M_5M_8$ | 0.5973 | 0.7416 | 0.8055 | [X:[1.3846], M:[1.0, 1.0769, 0.6154, 0.9231, 1.0769, 0.6923, 0.9231, 0.9231], q:[0.8077, 0.2692], qb:[0.7308, 0.6538], phi:[0.3846]] | t^2.08 + t^2.31 + 3*t^2.77 + t^3. + 3*t^4.15 + 2*t^4.38 + t^4.62 + 2*t^4.85 + 5*t^5.08 + 2*t^5.31 + 6*t^5.54 + t^5.77 - 3*t^6. - t^4.15/y - t^4.15*y | detail | {a: 20997/35152, c: 26067/35152, X1: 18/13, M1: 1, M2: 14/13, M3: 8/13, M4: 12/13, M5: 14/13, M6: 9/13, M7: 12/13, M8: 12/13, q1: 21/26, q2: 7/26, qb1: 19/26, qb2: 17/26, phi1: 5/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2273 | 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_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_2M_7$ | 0.7006 | 0.8845 | 0.792 | [X:[], M:[1.0, 1.1663, 0.9429, 0.8337, 0.7791, 0.7221, 0.8337], q:[0.7779, 0.3883], qb:[0.6117, 0.4454], phi:[0.4442]] | t^2.17 + t^2.34 + 2*t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.67 + t^4. + t^4.17 + 2*t^4.33 + 2*t^4.5 + 3*t^4.67 + t^4.83 + 2*t^4.84 + 6*t^5. + 4*t^5.17 + 2*t^5.33 + t^5.34 + t^5.49 + t^5.5 + t^5.66 + t^5.67 + t^5.84 - 2*t^6. - t^4.33/y - t^4.33*y | detail |