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 |
|---|---|---|---|---|---|---|---|---|---|
| 4169 | 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6632 | 0.8357 | 0.7936 | [X:[], M:[1.12, 1.04, 1.2, 0.8, 0.88, 0.8, 0.8], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 165789/250000, c: 104457/125000, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 22/25, M6: 4/5, M7: 4/5, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_7$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_1$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_4M_7$, $ M_6M_7$, $ M_7^2$, $ M_4M_5$, $ M_5M_6$, $ M_5M_7$, $ M_5^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_2M_4$, $ M_2M_6$, $ M_2M_7$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_2M_5$, $ M_1M_6$, $ M_1M_7$, $ \phi_1^4$ | . | -1 | 3*t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 6*t^4.8 + 3*t^5.04 + 4*t^5.28 + 3*t^5.52 + 3*t^5.76 - t^6. + 4*t^6.24 + 6*t^6.48 + 4*t^6.72 + 4*t^6.96 + 10*t^7.2 + 5*t^7.44 + 8*t^7.68 + 7*t^7.92 + 7*t^8.16 - 2*t^8.4 + 5*t^8.64 + 7*t^8.88 - t^4.44/y - (2*t^6.84)/y + (3*t^7.8)/y + (5*t^8.04)/y + (3*t^8.28)/y + (4*t^8.52)/y + (4*t^8.76)/y - t^4.44*y - 2*t^6.84*y + 3*t^7.8*y + 5*t^8.04*y + 3*t^8.28*y + 4*t^8.52*y + 4*t^8.76*y | 3*t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 6*t^4.8 + 3*t^5.04 + 4*t^5.28 + 3*t^5.52 + 3*t^5.76 - t^6. + 4*t^6.24 + 6*t^6.48 + 4*t^6.72 + 4*t^6.96 + 10*t^7.2 + 5*t^7.44 + 8*t^7.68 + 7*t^7.92 + 7*t^8.16 - 2*t^8.4 + 5*t^8.64 + 7*t^8.88 - t^4.44/y - (2*t^6.84)/y + (3*t^7.8)/y + (5*t^8.04)/y + (3*t^8.28)/y + (4*t^8.52)/y + (4*t^8.76)/y - t^4.44*y - 2*t^6.84*y + 3*t^7.8*y + 5*t^8.04*y + 3*t^8.28*y + 4*t^8.52*y + 4*t^8.76*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 |
|---|---|---|---|---|---|---|---|---|
| 5670 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1^2$ | 0.6594 | 0.8294 | 0.795 | [X:[], M:[1.12, 1.04, 1.2, 0.8, 0.88, 0.8, 0.8, 1.04], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | 3*t^2.4 + t^2.64 + 2*t^3.12 + t^3.36 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 6*t^4.8 + 3*t^5.04 + t^5.28 + 5*t^5.52 + 3*t^5.76 - 2*t^6. - t^4.44/y - t^4.44*y | detail | {a: 20607/31250, c: 51839/62500, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 22/25, M6: 4/5, M7: 4/5, M8: 26/25, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2181 | 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_3M_6$ | 0.6467 | 0.8067 | 0.8017 | [X:[], M:[1.12, 1.04, 1.2, 0.8, 0.88, 0.8], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | 2*t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 3*t^4.8 + 2*t^5.04 + 3*t^5.28 + 2*t^5.52 + 2*t^5.76 + t^6. - t^4.44/y - t^4.44*y | detail | {a: 10104/15625, c: 12604/15625, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 22/25, M6: 4/5, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |