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 |
|---|---|---|---|---|---|---|---|---|---|
| 55555 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4X_1$ | 0.6028 | 0.7512 | 0.8024 | [X:[1.5], M:[0.75, 1.25, 1.0, 0.5, 0.8125], q:[0.4688, 0.7812], qb:[0.2812, 0.7188], phi:[0.4375]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2469/4096, c: 3077/4096, X1: 3/2, M1: 3/4, M2: 5/4, M3: 1, M4: 1/2, M5: 13/16, q1: 15/32, q2: 25/32, qb1: 9/32, qb2: 23/32, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_5^2$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ \phi_1q_1q_2$, $ M_1M_3$, $ \phi_1^4$, $ M_1\phi_1\tilde{q}_1^2$, $ M_3M_5$, $ M_5\phi_1\tilde{q}_1^2$, $ M_3\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$ | $\phi_1^2\tilde{q}_1^4$ | 1 | t^2.25 + t^2.44 + t^2.62 + 2*t^3. + t^3.19 + t^3.56 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + 3*t^4.88 + t^5.06 + 2*t^5.25 + 2*t^5.44 + 4*t^5.62 + t^5.81 + t^6. + 3*t^6.19 + t^6.38 + t^6.56 + 3*t^6.75 + t^6.94 + 3*t^7.12 + 2*t^7.31 + 5*t^7.5 + 2*t^7.69 + 4*t^7.88 + 4*t^8.06 + 3*t^8.25 + t^8.44 + 4*t^8.62 + 2*t^8.81 - t^4.31/y - t^6.75/y - t^6.94/y + (2*t^7.69)/y + (2*t^7.88)/y + t^8.06/y + (2*t^8.25)/y + (3*t^8.44)/y + (3*t^8.62)/y + (2*t^8.81)/y - t^4.31*y - t^6.75*y - t^6.94*y + 2*t^7.69*y + 2*t^7.88*y + t^8.06*y + 2*t^8.25*y + 3*t^8.44*y + 3*t^8.62*y + 2*t^8.81*y | t^2.25 + t^2.44 + t^2.62 + 2*t^3. + t^3.19 + t^3.56 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + 3*t^4.88 + t^5.06 + 2*t^5.25 + 2*t^5.44 + 4*t^5.62 + t^5.81 + t^6. + 3*t^6.19 + t^6.38 + t^6.56 + 3*t^6.75 + t^6.94 + 3*t^7.12 + 2*t^7.31 + 5*t^7.5 + 2*t^7.69 + 4*t^7.88 + 4*t^8.06 + 3*t^8.25 + t^8.44 + 4*t^8.62 + 2*t^8.81 - t^4.31/y - t^6.75/y - t^6.94/y + (2*t^7.69)/y + (2*t^7.88)/y + t^8.06/y + (2*t^8.25)/y + (3*t^8.44)/y + (3*t^8.62)/y + (2*t^8.81)/y - t^4.31*y - t^6.75*y - t^6.94*y + 2*t^7.69*y + 2*t^7.88*y + t^8.06*y + 2*t^8.25*y + 3*t^8.44*y + 3*t^8.62*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 57129 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4X_1$ + $ M_2M_6$ | 0.6218 | 0.7859 | 0.7912 | [X:[1.5], M:[0.75, 1.25, 1.0, 0.5, 0.8125, 0.75], q:[0.4688, 0.7812], qb:[0.2812, 0.7188], phi:[0.4375]] | 2*t^2.25 + t^2.44 + t^2.62 + 2*t^3. + t^3.19 + t^3.56 + t^4.12 + t^4.31 + 4*t^4.5 + t^4.69 + 4*t^4.88 + t^5.06 + 4*t^5.25 + 3*t^5.44 + 4*t^5.62 + 2*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 2547/4096, c: 3219/4096, X1: 3/2, M1: 3/4, M2: 5/4, M3: 1, M4: 1/2, M5: 13/16, M6: 3/4, q1: 15/32, q2: 25/32, qb1: 9/32, qb2: 23/32, phi1: 7/16} |
| 57128 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4X_1$ + $ M_6q_1\tilde{q}_2$ | 0.6185 | 0.7787 | 0.7943 | [X:[1.5], M:[0.75, 1.25, 1.0, 0.5, 0.8125, 0.8125], q:[0.4688, 0.7812], qb:[0.2812, 0.7188], phi:[0.4375]] | t^2.25 + 2*t^2.44 + t^2.62 + 2*t^3. + t^3.19 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + t^4.69 + 5*t^4.88 + 2*t^5.06 + 2*t^5.25 + 4*t^5.44 + 5*t^5.62 - t^4.31/y - t^4.31*y | detail | {a: 81069/131072, c: 102061/131072, X1: 3/2, M1: 3/4, M2: 5/4, M3: 1, M4: 1/2, M5: 13/16, M6: 13/16, q1: 15/32, q2: 25/32, qb1: 9/32, qb2: 23/32, phi1: 7/16} |
| 57127 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4X_1$ + $ M_6q_2\tilde{q}_1$ | 0.6086 | 0.7609 | 0.7998 | [X:[1.5], M:[0.75, 1.25, 1.0, 0.5, 0.8125, 0.9375], q:[0.4688, 0.7812], qb:[0.2812, 0.7188], phi:[0.4375]] | t^2.25 + t^2.44 + t^2.62 + t^2.81 + 2*t^3. + t^3.56 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + 3*t^4.88 + 2*t^5.06 + 3*t^5.25 + 2*t^5.44 + 4*t^5.62 + 2*t^5.81 + t^6. - t^4.31/y - t^4.31*y | detail | {a: 79767/131072, c: 99735/131072, X1: 3/2, M1: 3/4, M2: 5/4, M3: 1, M4: 1/2, M5: 13/16, M6: 15/16, q1: 15/32, q2: 25/32, qb1: 9/32, qb2: 23/32, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 47180 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ | 0.6886 | 0.8712 | 0.7904 | [X:[], M:[0.8439, 1.1561, 1.0, 0.6879, 0.6951], q:[0.3866, 0.7695], qb:[0.4574, 0.5426], phi:[0.461]] | t^2.06 + t^2.09 + t^2.53 + t^2.77 + t^2.79 + t^3. + t^3.47 + t^3.68 + t^3.7 + 2*t^4.13 + t^4.15 + 2*t^4.17 + t^4.38 + t^4.6 + t^4.62 + t^4.64 + t^4.83 + 2*t^4.85 + t^4.87 + 2*t^5.06 + t^5.09 + t^5.3 + t^5.32 + 2*t^5.53 + 2*t^5.55 + t^5.58 + 3*t^5.77 + t^5.79 - t^6. - t^4.38/y - t^4.38*y | detail |