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 |
|---|---|---|---|---|---|---|---|---|---|
| 45784 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ + $ M_2\phi_1^2q_1\tilde{q}_1$ + $ M_1M_2$ + $ q_1\tilde{q}_1X_3$ | 0.8542 | 0.9167 | 0.9318 | [X:[1.5556, 1.3333, 1.3333], M:[1.1111, 0.8889], q:[0.3333], qb:[0.3333], phi:[0.2222]] | [X:[[0], [0], [0]], M:[[0], [0]], q:[[-1]], qb:[[1]], phi:[[0]]] | 1 | {a: 41/48, c: 11/12, X1: 14/9, X2: 4/3, X3: 4/3, M1: 10/9, M2: 8/9, q1: 1/3, qb1: 1/3, phi1: 2/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ X_2$, $ X_3$, $ X_1$, $ \phi_1^3q_1^3$, $ \phi_1^3\tilde{q}_1^3$, $ M_2^2$ | . | -1 | t^2.67 + t^3.33 + 2*t^4. + t^4.67 + 2*t^5. + t^5.33 - t^6. + 2*t^6.67 + 2*t^7.33 + 5*t^8. + t^8.67 + t^8./y^2 - t^3.67/y - t^4.33/y - t^7./y - (2*t^7.67)/y - (2*t^8.33)/y - t^3.67*y - t^4.33*y - t^7.*y - 2*t^7.67*y - 2*t^8.33*y + t^8.*y^2 | t^2.67 + t^3.33 + 2*t^4. + t^4.67 + t^5./g1^3 + g1^3*t^5. + t^5.33 - t^6. + 2*t^6.67 + 2*t^7.33 + 5*t^8. + t^8.67 + t^8./y^2 - t^3.67/y - t^4.33/y - t^7./y - (2*t^7.67)/y - (2*t^8.33)/y - t^3.67*y - t^4.33*y - t^7.*y - 2*t^7.67*y - 2*t^8.33*y + t^8.*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45792 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ + $ M_2\phi_1^2q_1\tilde{q}_1$ + $ M_1M_2$ + $ q_1\tilde{q}_1X_3$ + $ M_1M_3$ | 0.8642 | 0.9336 | 0.9256 | [X:[1.5556, 1.3333, 1.3333], M:[1.1111, 0.8889, 0.8889], q:[0.3333], qb:[0.3333], phi:[0.2222]] | 2*t^2.67 + 2*t^4. + t^4.67 + 2*t^5. + 3*t^5.33 - 2*t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 70/81, c: 605/648, X1: 14/9, X2: 4/3, X3: 4/3, M1: 10/9, M2: 8/9, M3: 8/9, q1: 1/3, qb1: 1/3, phi1: 2/9} |
| 45791 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ + $ M_2\phi_1^2q_1\tilde{q}_1$ + $ M_1M_2$ + $ q_1\tilde{q}_1X_3$ + $ \phi_1^3q_1^3$ | 0.8125 | 0.875 | 0.9286 | [X:[1.5556, 1.3333, 1.3333], M:[1.1111, 0.8889], q:[0.4444], qb:[0.2222], phi:[0.2222]] | t^2.67 + t^3.33 + 3*t^4. + t^4.67 + t^5.33 - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 13/16, c: 7/8, X1: 14/9, X2: 4/3, X3: 4/3, M1: 10/9, M2: 8/9, q1: 4/9, qb1: 2/9, phi1: 2/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45771 | SU3adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^3X_2$ + $ M_1\phi_1q_1\tilde{q}_1$ + $ M_2\phi_1^2q_1\tilde{q}_1$ | 0.9401 | 1.0061 | 0.9344 | [X:[1.6481, 1.4722], M:[0.8796, 0.7037], q:[0.4722], qb:[0.4722], phi:[0.1759]] | t^2.11 + t^2.64 + t^2.83 + t^4.22 + t^4.42 + t^4.75 + 2*t^4.94 + t^5.28 + t^5.47 + t^5.67 + 2*t^5.83 - 2*t^6. - t^3.53/y - t^4.06/y - t^5.64/y - t^3.53*y - t^4.06*y - t^5.64*y | detail | {a: 361/384, c: 1159/1152, X1: 89/54, X2: 53/36, M1: 95/108, M2: 19/27, q1: 17/36, qb1: 17/36, phi1: 19/108} |