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 |
|---|---|---|---|---|---|---|---|---|---|
| 1112 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ | 0.613 | 0.7537 | 0.8134 | [X:[], M:[1.125, 1.125, 0.8125, 0.875, 1.0], q:[0.7812, 0.2812], qb:[0.5938, 0.5938], phi:[0.4375]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2511/4096, c: 3087/4096, M1: 9/8, M2: 9/8, M3: 13/16, M4: 7/8, M5: 1, q1: 25/32, q2: 9/32, qb1: 19/32, qb2: 19/32, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ \phi_1^2$, $ M_5$, $ q_1q_2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_3q_1q_2$, $ M_1M_3$, $ M_4q_1q_2$ | $M_1\phi_1^2$ | -2 | t^2.44 + 2*t^2.62 + t^3. + t^3.19 + t^3.38 + 2*t^3.94 + 2*t^4.12 + 4*t^4.88 + 3*t^5.25 + t^5.44 + 3*t^5.62 + 2*t^5.81 - 2*t^6. + t^6.19 + t^6.38 + 4*t^6.56 + 2*t^6.75 + 2*t^7.12 + 2*t^7.31 + 5*t^7.5 - t^7.69 + 7*t^7.88 + 4*t^8.06 + 4*t^8.25 - 4*t^8.62 + 4*t^8.81 - t^4.31/y - t^6.75/y + t^7.88/y + (2*t^8.06)/y + t^8.25/y + t^8.44/y + (3*t^8.62)/y + (3*t^8.81)/y - t^4.31*y - t^6.75*y + t^7.88*y + 2*t^8.06*y + t^8.25*y + t^8.44*y + 3*t^8.62*y + 3*t^8.81*y | t^2.44 + 2*t^2.62 + t^3. + t^3.19 + t^3.38 + 2*t^3.94 + 2*t^4.12 + 4*t^4.88 + 3*t^5.25 + t^5.44 + 3*t^5.62 + 2*t^5.81 - 2*t^6. + t^6.19 + t^6.38 + 4*t^6.56 + 2*t^6.75 + 2*t^7.12 + 2*t^7.31 + 5*t^7.5 - t^7.69 + 7*t^7.88 + 4*t^8.06 + 4*t^8.25 - 4*t^8.62 + 4*t^8.81 - t^4.31/y - t^6.75/y + t^7.88/y + (2*t^8.06)/y + t^8.25/y + t^8.44/y + (3*t^8.62)/y + (3*t^8.81)/y - t^4.31*y - t^6.75*y + t^7.88*y + 2*t^8.06*y + t^8.25*y + t^8.44*y + 3*t^8.62*y + 3*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 2141 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ + $ M_1M_6$ | 0.6242 | 0.7726 | 0.8079 | [X:[], M:[1.125, 1.125, 0.8125, 0.875, 1.0, 0.875], q:[0.7812, 0.2812], qb:[0.5938, 0.5938], phi:[0.4375]] | t^2.44 + 3*t^2.62 + t^3. + t^3.19 + 2*t^3.94 + 2*t^4.12 + 4*t^4.88 + t^5.06 + 6*t^5.25 + t^5.44 + 4*t^5.62 + 2*t^5.81 - 4*t^6. - t^4.31/y - t^4.31*y | detail | {a: 10227/16384, c: 12659/16384, M1: 9/8, M2: 9/8, M3: 13/16, M4: 7/8, M5: 1, M6: 7/8, q1: 25/32, q2: 9/32, qb1: 19/32, qb2: 19/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 691 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ | 0.6687 | 0.8234 | 0.8121 | [X:[], M:[1.0874, 1.0874, 1.0193, 0.9126, 0.6991], q:[0.7718, 0.4223], qb:[0.4903, 0.4903], phi:[0.4563]] | t^2.1 + 2*t^2.74 + t^3.06 + t^3.26 + t^3.58 + 2*t^3.79 + 2*t^4.11 + t^4.19 + 3*t^4.31 + 2*t^4.84 + t^5.16 + t^5.36 + 3*t^5.48 + t^5.68 + 2*t^5.88 - 3*t^6. - t^4.37/y - t^4.37*y | detail |