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 |
|---|---|---|---|---|---|---|---|---|---|
| 2813 | 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_1^2$ + $ M_2M_3$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1\tilde{q}_1$ | 0.5988 | 0.7622 | 0.7855 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2631/4394, c: 13397/17576, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_1^2$, $ M_1$, $ M_3$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_4\phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1q_1^3\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2\phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1^3q_1^2$, $ \phi_1^2q_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ M_4\phi_1q_1\tilde{q}_2$ | $\phi_1q_1^2\tilde{q}_2^2$ | 0 | t^2.08 + t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + t^3.92 + 2*t^4.15 + t^4.38 + 3*t^4.62 + 3*t^4.85 + 4*t^5.08 + 3*t^5.31 + 5*t^5.54 + 2*t^5.77 + 3*t^6.23 + 3*t^6.46 + 4*t^6.69 + 5*t^6.92 + 4*t^7.15 + 6*t^7.38 + 7*t^7.62 + 6*t^7.85 + 5*t^8.08 + 7*t^8.31 + t^8.54 - t^4.38/y - t^6.46/y - t^7.15/y + t^7.38/y + (2*t^7.62)/y + (3*t^7.85)/y + (3*t^8.08)/y + (4*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 + t^7.38*y + 2*t^7.62*y + 3*t^7.85*y + 3*t^8.08*y + 4*t^8.31*y + 2*t^8.54*y + 4*t^8.77*y | t^2.08 + t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + t^3.92 + 2*t^4.15 + t^4.38 + 3*t^4.62 + 3*t^4.85 + 4*t^5.08 + 3*t^5.31 + 5*t^5.54 + 2*t^5.77 + 3*t^6.23 + 3*t^6.46 + 4*t^6.69 + 5*t^6.92 + 4*t^7.15 + 6*t^7.38 + 7*t^7.62 + 6*t^7.85 + 5*t^8.08 + 7*t^8.31 + t^8.54 - t^4.38/y - t^6.46/y - t^7.15/y + t^7.38/y + (2*t^7.62)/y + (3*t^7.85)/y + (3*t^8.08)/y + (4*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 + t^7.38*y + 2*t^7.62*y + 3*t^7.85*y + 3*t^8.08*y + 4*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 |
|---|---|---|---|---|---|---|---|---|
| 3341 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1\tilde{q}_1$ + $ M_3M_5$ | 0.6122 | 0.7852 | 0.7796 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]] | t^2.08 + t^2.31 + 2*t^2.54 + 2*t^2.77 + t^3. + t^3.69 + t^3.92 + 2*t^4.15 + t^4.38 + 4*t^4.62 + 4*t^4.85 + 6*t^5.08 + 5*t^5.31 + 5*t^5.54 + t^5.77 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 21519/35152, c: 27603/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13} |
| 3340 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1\tilde{q}_1$ + $ M_4M_5$ | 0.5781 | 0.7223 | 0.8003 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923, 1.3077], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]] | t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + 2*t^3.92 + t^4.15 + 2*t^4.62 + t^4.85 + 3*t^5.08 + 3*t^5.31 + 4*t^5.54 + t^5.77 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 10161/17576, c: 1587/2197, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 17/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13} |
| 3343 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1\tilde{q}_1$ + $ M_5\phi_1q_1\tilde{q}_1$ | 0.6194 | 0.8021 | 0.7722 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923, 0.6923], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]] | 2*t^2.08 + t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + 4*t^4.15 + 2*t^4.38 + 4*t^4.62 + 5*t^4.85 + 5*t^5.08 + 3*t^5.31 + 6*t^5.54 + 3*t^5.77 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 10887/17576, c: 7049/8788, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 9/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13} |
| 3342 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1\tilde{q}_1$ + $ M_5\phi_1q_1\tilde{q}_2$ | 0.6169 | 0.7948 | 0.7762 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923, 0.7692], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]] | t^2.08 + 2*t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.92 + 2*t^4.15 + 2*t^4.38 + 5*t^4.62 + 4*t^4.85 + 6*t^5.08 + 4*t^5.31 + 5*t^5.54 + 2*t^5.77 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 21687/35152, c: 6985/8788, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 10/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1799 | 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_1^2$ + $ M_2M_3$ + $ \phi_1q_2^2$ | 0.599 | 0.7629 | 0.7852 | [X:[], M:[1.0, 0.8383, 1.1617, 0.6765], q:[0.2298, 0.7702], qb:[0.6085, 0.5533], phi:[0.4596]] | t^2.03 + t^2.35 + t^2.51 + 2*t^2.76 + t^3. + t^3.49 + t^3.73 + t^3.89 + t^4.06 + t^4.14 + t^4.38 + t^4.54 + 2*t^4.7 + 2*t^4.79 + t^4.86 + 2*t^5.03 + 2*t^5.11 + 2*t^5.27 + t^5.35 + 5*t^5.51 + 2*t^5.76 + t^5.92 - 2*t^6. - t^4.38/y - t^4.38*y | detail |