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 |
|---|---|---|---|---|---|---|---|---|---|
| 765 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.5367 | 0.6539 | 0.8208 | [X:[1.625], M:[0.875, 0.375, 1.125, 1.0], q:[0.875, 0.75], qb:[0.25, 0.625], phi:[0.375]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 8793/16384, c: 10713/16384, X1: 13/8, M1: 7/8, M2: 3/8, M3: 9/8, M4: 1, q1: 7/8, q2: 3/4, qb1: 1/4, qb2: 5/8, phi1: 3/8} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_1^2$, $ M_4\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_4$, $ M_3\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.25 + 2*t^2.62 + t^3. + t^3.38 + t^3.75 + t^4.12 + 2*t^4.5 + 3*t^4.88 + 3*t^5.25 + 2*t^5.62 + t^6.38 + 3*t^6.75 + 3*t^7.12 + 3*t^7.5 + 4*t^7.88 + 2*t^8.25 - 2*t^8.62 - t^4.12/y - t^6.38/y + (3*t^7.88)/y + (2*t^8.25)/y + (2*t^8.62)/y - t^4.12*y - t^6.38*y + 3*t^7.88*y + 2*t^8.25*y + 2*t^8.62*y | t^2.25 + 2*t^2.62 + t^3. + t^3.38 + t^3.75 + t^4.12 + 2*t^4.5 + 3*t^4.88 + 3*t^5.25 + 2*t^5.62 + t^6.38 + 3*t^6.75 + 3*t^7.12 + 3*t^7.5 + 4*t^7.88 + 2*t^8.25 - 2*t^8.62 - t^4.12/y - t^6.38/y + (3*t^7.88)/y + (2*t^8.25)/y + (2*t^8.62)/y - t^4.12*y - t^6.38*y + 3*t^7.88*y + 2*t^8.25*y + 2*t^8.62*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 |
|---|---|---|---|---|---|---|---|---|
| 1249 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_3M_5$ | 0.5479 | 0.6729 | 0.8142 | [X:[1.625], M:[0.875, 0.375, 1.125, 1.0, 0.875], q:[0.875, 0.75], qb:[0.25, 0.625], phi:[0.375]] | t^2.25 + 3*t^2.62 + t^3. + t^3.75 + t^4.12 + 2*t^4.5 + 4*t^4.88 + 6*t^5.25 + 2*t^5.62 - 2*t^6. - t^4.12/y - t^4.12*y | detail | {a: 561/1024, c: 689/1024, X1: 13/8, M1: 7/8, M2: 3/8, M3: 9/8, M4: 1, M5: 7/8, q1: 7/8, q2: 3/4, qb1: 1/4, qb2: 5/8, phi1: 3/8} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 479 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ | 0.5526 | 0.6831 | 0.809 | [X:[1.412], M:[0.9176, 0.588, 1.0824, 1.0], q:[0.8324, 0.75], qb:[0.25, 0.4972], phi:[0.4176]] | t^2.24 + t^2.51 + t^2.75 + t^3. + t^3.25 + t^3.49 + t^3.74 + t^3.99 + t^4.24 + t^4.48 + 2*t^4.75 + t^4.99 + t^5.01 + t^5.24 + t^5.49 + t^5.51 + t^5.74 + t^5.75 + t^5.98 - t^4.25/y - t^4.25*y | detail |