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 |
|---|---|---|---|---|---|---|---|---|---|
| 1697 | 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_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_5$ | 0.6679 | 0.8314 | 0.8034 | [X:[], M:[1.0, 1.0769, 1.1538, 0.9231, 0.8462, 0.6923], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 903/1352, c: 281/338, M1: 1, M2: 14/13, M3: 15/13, M4: 12/13, M5: 11/13, M6: 9/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_6$, $ \phi_1q_2^2$, $ M_4M_6$, $ M_6\phi_1^2$, $ M_5^2$, $ M_1M_6$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_4^2$, $ M_1M_5$, $ M_3M_6$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_6q_1\tilde{q}_1$, $ M_6\phi_1\tilde{q}_2^2$ | $M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0 | t^2.08 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + 2*t^3.69 + t^3.92 + 3*t^4.15 + t^4.38 + 2*t^4.62 + 2*t^4.85 + 2*t^5.08 + 2*t^5.31 + 4*t^5.54 + 2*t^5.77 + 4*t^6.23 + 4*t^6.46 + 5*t^6.69 + 5*t^6.92 + 4*t^7.15 + 4*t^7.38 + 5*t^7.62 + 5*t^7.85 + 4*t^8.08 + 8*t^8.31 + 2*t^8.54 + 3*t^8.77 - t^4.38/y - t^6.46/y - t^7.15/y + (2*t^7.62)/y + (2*t^7.85)/y + t^8.08/y + (3*t^8.31)/y + (2*t^8.54)/y + (4*t^8.77)/y - t^4.38*y - t^6.46*y - t^7.15*y + 2*t^7.62*y + 2*t^7.85*y + t^8.08*y + 3*t^8.31*y + 2*t^8.54*y + 4*t^8.77*y | t^2.08 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + 2*t^3.69 + t^3.92 + 3*t^4.15 + t^4.38 + 2*t^4.62 + 2*t^4.85 + 2*t^5.08 + 2*t^5.31 + 4*t^5.54 + 2*t^5.77 + 4*t^6.23 + 4*t^6.46 + 5*t^6.69 + 5*t^6.92 + 4*t^7.15 + 4*t^7.38 + 5*t^7.62 + 5*t^7.85 + 4*t^8.08 + 8*t^8.31 + 2*t^8.54 + 3*t^8.77 - t^4.38/y - t^6.46/y - t^7.15/y + (2*t^7.62)/y + (2*t^7.85)/y + t^8.08/y + (3*t^8.31)/y + (2*t^8.54)/y + (4*t^8.77)/y - t^4.38*y - t^6.46*y - t^7.15*y + 2*t^7.62*y + 2*t^7.85*y + t^8.08*y + 3*t^8.31*y + 2*t^8.54*y + 4*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 |
|---|---|---|---|---|---|---|---|---|
| 4083 | $\phi_1q_1^2$ + $ 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_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_5$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6886 | 0.8712 | 0.7903 | [X:[], M:[1.0, 1.0769, 1.1538, 0.9231, 0.8462, 0.6923, 0.6923], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | 2*t^2.08 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + 2*t^3.69 + 5*t^4.15 + t^4.38 + 3*t^4.62 + 4*t^4.85 + 3*t^5.08 + 2*t^5.31 + 5*t^5.54 + 4*t^5.77 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 6051/8788, c: 15313/17576, M1: 1, M2: 14/13, M3: 15/13, M4: 12/13, M5: 11/13, M6: 9/13, M7: 9/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1093 | 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_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.6949 | 0.8621 | 0.8061 | [X:[], M:[1.0, 1.1163, 0.9767, 0.8837, 0.7674, 0.7907], q:[0.7791, 0.4302], qb:[0.5698, 0.4535], phi:[0.4419]] | t^2.3 + t^2.37 + 2*t^2.65 + t^2.93 + t^3. + t^3.91 + t^3.98 + 2*t^4.05 + t^4.33 + t^4.4 + t^4.6 + t^4.67 + 2*t^4.74 + 2*t^4.95 + 2*t^5.02 + t^5.23 + 5*t^5.3 + t^5.37 + t^5.58 + t^5.65 + t^5.86 - 2*t^6. - t^4.33/y - t^4.33*y | detail |