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 |
|---|---|---|---|---|---|---|---|---|---|
| 2828 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ | 0.6407 | 0.8088 | 0.7921 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 125001/195112, c: 19725/24389, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_4$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_1\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_4q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_2$, $ \phi_1^4$, $ M_4\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_2^2$ | 1 | t^2.07 + t^2.28 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + 2*t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + t^4.55 + 2*t^4.76 + 2*t^4.97 + 2*t^5.17 + 2*t^5.38 + 3*t^5.59 + 4*t^5.79 + t^6. + 4*t^6.21 + 4*t^6.41 + 3*t^6.62 + 5*t^6.83 + 5*t^7.03 + 4*t^7.24 + 4*t^7.45 + 6*t^7.66 + 5*t^7.86 + 3*t^8.07 + 5*t^8.28 + 5*t^8.48 + 4*t^8.69 + 4*t^8.9 - t^4.45/y - t^6.52/y + t^7.34/y + t^7.76/y + (2*t^7.97)/y + (2*t^8.17)/y + (3*t^8.38)/y + (3*t^8.59)/y + (4*t^8.79)/y - t^4.45*y - t^6.52*y + t^7.34*y + t^7.76*y + 2*t^7.97*y + 2*t^8.17*y + 3*t^8.38*y + 3*t^8.59*y + 4*t^8.79*y | t^2.07 + t^2.28 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + 2*t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + t^4.55 + 2*t^4.76 + 2*t^4.97 + 2*t^5.17 + 2*t^5.38 + 3*t^5.59 + 4*t^5.79 + t^6. + 4*t^6.21 + 4*t^6.41 + 3*t^6.62 + 5*t^6.83 + 5*t^7.03 + 4*t^7.24 + 4*t^7.45 + 6*t^7.66 + 5*t^7.86 + 3*t^8.07 + 5*t^8.28 + 5*t^8.48 + 4*t^8.69 + 4*t^8.9 - t^4.45/y - t^6.52/y + t^7.34/y + t^7.76/y + (2*t^7.97)/y + (2*t^8.17)/y + (3*t^8.38)/y + (3*t^8.59)/y + (4*t^8.79)/y - t^4.45*y - t^6.52*y + t^7.34*y + t^7.76*y + 2*t^7.97*y + 2*t^8.17*y + 3*t^8.38*y + 3*t^8.59*y + 4*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 3362 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_1M_5$ | 0.6313 | 0.7929 | 0.7961 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 1.1034], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + t^2.28 + t^2.9 + t^3.1 + 2*t^3.31 + 2*t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + t^4.55 + t^4.76 + t^4.97 + 2*t^5.17 + 2*t^5.38 + 3*t^5.59 + 3*t^5.79 - t^4.45/y - t^4.45*y | detail | {a: 246339/390224, c: 154707/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 32/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 3366 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_2M_5$ | 0.6439 | 0.8141 | 0.7909 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 0.9655], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + t^2.28 + t^2.69 + 2*t^2.9 + t^3.31 + 2*t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + t^4.55 + 2*t^4.76 + 3*t^4.97 + 2*t^5.17 + t^5.38 + 4*t^5.59 + 5*t^5.79 - t^4.45/y - t^4.45*y | detail | {a: 251259/390224, c: 158849/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 28/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 3369 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_3M_5$ | 0.65 | 0.8246 | 0.7883 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 0.8966], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + t^2.28 + 2*t^2.69 + t^2.9 + t^3.1 + 2*t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + t^4.55 + 3*t^4.76 + 3*t^4.97 + 2*t^5.17 + 3*t^5.38 + 3*t^5.59 + 5*t^5.79 - t^4.45/y - t^4.45*y | detail | {a: 253665/390224, c: 160893/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 26/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 3360 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_4M_5$ | 0.62 | 0.7687 | 0.8065 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 1.3103], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.28 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + 2*t^3.52 + t^3.72 + 2*t^3.93 + t^4.14 + t^4.34 + t^4.55 + t^4.76 + t^4.97 + t^5.17 + t^5.38 + t^5.59 + 3*t^5.79 - t^4.45/y - t^4.45*y | detail | {a: 241929/390224, c: 149979/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 38/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 3365 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6593 | 0.8425 | 0.7826 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 0.7586], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + 2*t^2.28 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + 2*t^3.52 + t^3.93 + 2*t^4.14 + 3*t^4.34 + 3*t^4.55 + 2*t^4.76 + 3*t^4.97 + 3*t^5.17 + 3*t^5.38 + 4*t^5.59 + 5*t^5.79 - t^4.45/y - t^4.45*y | detail | {a: 257289/390224, c: 164387/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 22/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 3370 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_5\phi_1q_2^2$ | 0.6554 | 0.8343 | 0.7856 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 0.8276], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + t^2.28 + t^2.48 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + 2*t^4.55 + 3*t^4.76 + 3*t^4.97 + 3*t^5.17 + 3*t^5.38 + 3*t^5.59 + 4*t^5.79 + 2*t^6. - t^4.45/y - t^4.45*y | detail | {a: 255747/390224, c: 162775/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 24/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 3367 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_3$ + $ M_5q_1\tilde{q}_1$ | 0.6614 | 0.8489 | 0.7791 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 0.6897], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | 2*t^2.07 + t^2.28 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + 2*t^3.52 + t^3.72 + 4*t^4.14 + 3*t^4.34 + t^4.55 + 3*t^4.76 + 3*t^4.97 + 3*t^5.17 + 3*t^5.38 + 5*t^5.59 + 5*t^5.79 - t^4.45/y - t^4.45*y | detail | {a: 258075/390224, c: 165621/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 20/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1813 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_1$ | 0.6903 | 0.8614 | 0.8014 | [X:[], M:[0.6811, 1.1063, 0.9718, 0.7375], q:[0.7766, 0.5423], qb:[0.4859, 0.4078], phi:[0.4469]] | t^2.04 + t^2.21 + t^2.68 + t^2.85 + t^2.92 + t^3.32 + t^3.55 + t^3.79 + t^4.02 + t^4.09 + t^4.19 + 2*t^4.26 + 2*t^4.43 + t^4.59 + t^4.72 + 2*t^4.89 + t^4.96 + t^5.06 + t^5.13 + 2*t^5.36 + 2*t^5.53 + t^5.6 + t^5.7 + t^5.77 + t^5.83 - t^6. - t^4.34/y - t^4.34*y | detail |