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 |
|---|---|---|---|---|---|---|---|---|---|
| 383 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ | 0.5874 | 0.7124 | 0.8245 | [X:[1.5], M:[0.875, 0.5, 1.0], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | [X:[[0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1203/2048, c: 1459/2048, X1: 3/2, M1: 7/8, M2: 1/2, M3: 1, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, 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_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1^4$, $ X_1$, $ M_1\phi_1^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_3$, $ M_3\tilde{q}_1\tilde{q}_2$ | $M_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 1 | t^2.25 + 2*t^2.62 + t^3. + t^3.38 + t^3.75 + 2*t^4.12 + 2*t^4.5 + 3*t^4.88 + 3*t^5.25 + t^5.62 + t^6. + 2*t^6.38 + 4*t^6.75 + 4*t^7.12 + 4*t^7.5 + 3*t^7.88 + 2*t^8.25 - t^4.12/y - t^6.38/y - t^6.75/y + t^7.5/y + (3*t^7.88)/y + (2*t^8.25)/y + (2*t^8.62)/y - t^4.12*y - t^6.38*y - t^6.75*y + t^7.5*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 + 2*t^4.12 + 2*t^4.5 + 3*t^4.88 + 3*t^5.25 + t^5.62 + t^6. + 2*t^6.38 + 4*t^6.75 + 4*t^7.12 + 4*t^7.5 + 3*t^7.88 + 2*t^8.25 - t^4.12/y - t^6.38/y - t^6.75/y + t^7.5/y + (3*t^7.88)/y + (2*t^8.25)/y + (2*t^8.62)/y - t^4.12*y - t^6.38*y - t^6.75*y + t^7.5*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 |
|---|---|---|---|---|---|---|---|---|
| 621 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_4\phi_1^2$ | 0.5684 | 0.6777 | 0.8386 | [X:[1.5], M:[0.875, 0.5, 1.0, 1.25], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | 2*t^2.62 + t^3. + t^3.38 + 2*t^3.75 + 2*t^4.12 + t^4.5 + t^4.88 + 2*t^5.25 - t^4.12/y - t^4.12*y | detail | {a: 291/512, c: 347/512, X1: 3/2, M1: 7/8, M2: 1/2, M3: 1, M4: 5/4, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |
| 625 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ | 0.5986 | 0.7314 | 0.8184 | [X:[1.5], M:[0.875, 0.5, 1.0, 0.875], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | t^2.25 + 3*t^2.62 + t^3. + t^3.75 + 2*t^4.12 + 2*t^4.5 + 4*t^4.88 + 6*t^5.25 + t^5.62 - t^6. - t^4.12/y - t^4.12*y | detail | {a: 9807/16384, c: 11983/16384, X1: 3/2, M1: 7/8, M2: 1/2, M3: 1, M4: 7/8, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 240 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_2X_1$ | 0.5879 | 0.7149 | 0.8223 | [X:[1.4675], M:[0.8831, 0.5325, 1.0], q:[0.8084, 0.8084], qb:[0.3084, 0.5422], phi:[0.3831]] | t^2.3 + t^2.55 + t^2.65 + t^3. + t^3.35 + t^3.7 + 2*t^4.05 + t^4.4 + t^4.6 + 2*t^4.85 + t^4.95 + t^5.1 + t^5.2 + t^5.3 + t^5.55 + t^5.9 - t^4.15/y - t^4.15*y | detail |