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 |
|---|---|---|---|---|---|---|---|---|---|
| 47135 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.5917 | 0.7503 | 0.7886 | [X:[1.3846], M:[0.6923, 0.6154, 1.0, 1.0769], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 20799/35152, c: 3297/4394, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, M4: 14/13, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, phi1: 6/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_3$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ X_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_1M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_4$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$ | $M_4\phi_1^2$, $ \phi_1q_2^2\tilde{q}_2^2$ | 1 | t^2.08 + t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + t^3.92 + 2*t^4.15 + t^4.38 + 3*t^4.62 + 2*t^4.85 + 3*t^5.08 + 3*t^5.31 + 4*t^5.54 + 2*t^5.77 + t^6. + 3*t^6.23 + 3*t^6.46 + 4*t^6.69 + 4*t^6.92 + 4*t^7.15 + 5*t^7.38 + 5*t^7.62 + 5*t^7.85 + 4*t^8.08 + 5*t^8.31 + 2*t^8.54 + 4*t^8.77 - t^4.38/y - t^6.46/y + t^7.38/y + t^7.62/y + (2*t^7.85)/y + (2*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^7.38*y + t^7.62*y + 2*t^7.85*y + 2*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 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + t^3.92 + 2*t^4.15 + t^4.38 + 3*t^4.62 + 2*t^4.85 + 3*t^5.08 + 3*t^5.31 + 4*t^5.54 + 2*t^5.77 + t^6. + 3*t^6.23 + 3*t^6.46 + 4*t^6.69 + 4*t^6.92 + 4*t^7.15 + 5*t^7.38 + 5*t^7.62 + 5*t^7.85 + 4*t^8.08 + 5*t^8.31 + 2*t^8.54 + 4*t^8.77 - t^4.38/y - t^6.46/y + t^7.38/y + t^7.62/y + (2*t^7.85)/y + (2*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^7.38*y + t^7.62*y + 2*t^7.85*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 50858 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_1M_5$ | 0.571 | 0.7105 | 0.8038 | [X:[1.3846], M:[0.6923, 0.6154, 1.0, 1.0769, 1.3077], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]] | t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + 2*t^3.92 + t^4.15 + 2*t^4.62 + t^4.85 + 2*t^5.08 + 2*t^5.31 + 3*t^5.54 + t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 20073/35152, c: 12487/17576, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, M4: 14/13, M5: 17/13, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, phi1: 6/13} |
| 53799 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6099 | 0.7829 | 0.7789 | [X:[1.3846], M:[0.6923, 0.6154, 1.0, 1.0769, 0.7692], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]] | t^2.08 + 2*t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.92 + 2*t^4.15 + 2*t^4.38 + 5*t^4.62 + 3*t^4.85 + 4*t^5.08 + 4*t^5.31 + 5*t^5.54 + 2*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 10719/17576, c: 13761/17576, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, M4: 14/13, M5: 10/13, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, phi1: 6/13} |
| 50808 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_2\tilde{q}_1$ | 0.6051 | 0.7734 | 0.7824 | [X:[1.3846], M:[0.6923, 0.6154, 1.0, 1.0769, 0.8462], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]] | t^2.08 + t^2.31 + 2*t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.69 + t^3.92 + 2*t^4.15 + t^4.38 + 4*t^4.62 + 3*t^4.85 + 5*t^5.08 + 4*t^5.31 + 4*t^5.54 + 2*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 10635/17576, c: 27185/35152, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, M4: 14/13, M5: 11/13, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46416 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ | 0.5988 | 0.7622 | 0.7855 | [X:[1.3846], M:[0.6923, 0.6154, 1.0], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]] | 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 - t^4.38/y - t^4.38*y | detail | {a: 2631/4394, c: 13397/17576, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, phi1: 6/13} |