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 |
|---|---|---|---|---|---|---|---|---|---|
| 870 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.567 | 0.7423 | 0.7639 | [X:[], M:[1.0488, 0.8535, 1.1465, 0.8535, 0.6709], q:[0.7622, 0.189], qb:[0.4819, 0.6646], phi:[0.4756]] | [X:[], M:[[-4], [12], [-12], [12], [-14]], q:[[-1], [5]], qb:[[-19], [7]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ M_4$, $ \phi_1q_2^2$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_5$, $ M_5\phi_1q_2^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4\phi_1q_2^2$, $ \phi_1^2q_2^4$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1^2$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$ | $M_3\phi_1q_2^2$, $ M_3q_2\tilde{q}_2$ | -1 | 2*t^2.01 + 3*t^2.56 + t^2.85 + t^3.15 + t^3.44 + t^3.73 + 3*t^4.03 + t^4.28 + t^4.32 + 5*t^4.57 + 3*t^4.87 + 5*t^5.12 + 2*t^5.16 + 4*t^5.41 + t^5.45 + 2*t^5.71 + 2*t^5.75 - t^6. + 4*t^6.04 + 4*t^6.29 + 2*t^6.33 - 2*t^6.55 + 7*t^6.59 + t^6.84 + 6*t^6.88 + 6*t^7.13 + 4*t^7.17 + 5*t^7.43 + 2*t^7.46 + 7*t^7.68 + 2*t^7.72 + 4*t^7.76 + 6*t^7.97 - 3*t^8.01 + 6*t^8.05 + 2*t^8.27 + 4*t^8.31 + 3*t^8.34 - 8*t^8.56 + 9*t^8.6 + t^8.64 - t^8.85 + 8*t^8.89 - t^4.43/y - t^6.44/y - t^6.99/y + t^7.03/y + (6*t^7.57)/y + (3*t^7.87)/y + (3*t^8.12)/y + (2*t^8.16)/y + (4*t^8.41)/y + t^8.45/y + (3*t^8.71)/y + (2*t^8.75)/y - t^4.43*y - t^6.44*y - t^6.99*y + t^7.03*y + 6*t^7.57*y + 3*t^7.87*y + 3*t^8.12*y + 2*t^8.16*y + 4*t^8.41*y + t^8.45*y + 3*t^8.71*y + 2*t^8.75*y | (2*t^2.01)/g1^14 + 3*g1^12*t^2.56 + g1^4*t^2.85 + t^3.15/g1^4 + t^3.44/g1^12 + t^3.73/g1^20 + (3*t^4.03)/g1^28 + g1^6*t^4.28 + t^4.32/g1^36 + (5*t^4.57)/g1^2 + (3*t^4.87)/g1^10 + 5*g1^24*t^5.12 + (2*t^5.16)/g1^18 + 4*g1^16*t^5.41 + t^5.45/g1^26 + 2*g1^8*t^5.71 + (2*t^5.75)/g1^34 - t^6. + (4*t^6.04)/g1^42 + (4*t^6.29)/g1^8 + (2*t^6.33)/g1^50 - 2*g1^26*t^6.55 + (7*t^6.59)/g1^16 + g1^18*t^6.84 + (6*t^6.88)/g1^24 + 6*g1^10*t^7.13 + (4*t^7.17)/g1^32 + 5*g1^2*t^7.43 + (2*t^7.46)/g1^40 + 7*g1^36*t^7.68 + (2*t^7.72)/g1^6 + (4*t^7.76)/g1^48 + 6*g1^28*t^7.97 - (3*t^8.01)/g1^14 + (6*t^8.05)/g1^56 + 2*g1^20*t^8.27 + (4*t^8.31)/g1^22 + (3*t^8.34)/g1^64 - 8*g1^12*t^8.56 + (9*t^8.6)/g1^30 + t^8.64/g1^72 - g1^4*t^8.85 + (8*t^8.89)/g1^38 - (g1^2*t^4.43)/y - t^6.44/(g1^12*y) - (g1^14*t^6.99)/y + t^7.03/(g1^28*y) + (6*t^7.57)/(g1^2*y) + (3*t^7.87)/(g1^10*y) + (3*g1^24*t^8.12)/y + (2*t^8.16)/(g1^18*y) + (4*g1^16*t^8.41)/y + t^8.45/(g1^26*y) + (3*g1^8*t^8.71)/y + (2*t^8.75)/(g1^34*y) - g1^2*t^4.43*y - (t^6.44*y)/g1^12 - g1^14*t^6.99*y + (t^7.03*y)/g1^28 + (6*t^7.57*y)/g1^2 + (3*t^7.87*y)/g1^10 + 3*g1^24*t^8.12*y + (2*t^8.16*y)/g1^18 + 4*g1^16*t^8.41*y + (t^8.45*y)/g1^26 + 3*g1^8*t^8.71*y + (2*t^8.75*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1363 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_5$ | 0.5459 | 0.7142 | 0.7644 | [X:[], M:[1.0769, 0.7692, 1.2308, 0.7692, 0.7692], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]] | 5*t^2.31 + t^2.77 + t^3.23 + t^3.69 + 2*t^4.15 + 13*t^4.62 + 8*t^5.08 + 4*t^5.54 - 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 19191/35152, c: 12553/17576, M1: 14/13, M2: 10/13, M3: 16/13, M4: 10/13, M5: 10/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13} |
| 2044 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ | 0.5643 | 0.737 | 0.7656 | [X:[], M:[1.0588, 0.8235, 1.1765, 0.8235, 0.7059], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | 2*t^2.12 + 3*t^2.47 + t^2.82 + t^3.18 + t^3.53 + t^3.88 + 4*t^4.24 + 6*t^4.59 + 8*t^4.94 + 6*t^5.29 + 3*t^5.65 + t^6. - t^4.41/y - t^4.41*y | detail | {a: 44355/78608, c: 28969/39304, M1: 18/17, M2: 14/17, M3: 20/17, M4: 14/17, M5: 12/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
| 2045 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.5862 | 0.7769 | 0.7545 | [X:[], M:[1.0521, 0.8438, 1.1562, 0.8438, 0.6823, 0.7396], q:[0.763, 0.1849], qb:[0.4974, 0.6589], phi:[0.474]] | 2*t^2.05 + t^2.22 + 3*t^2.53 + t^2.84 + t^3.16 + t^3.47 + 3*t^4.09 + 3*t^4.27 + t^4.41 + t^4.44 + 5*t^4.58 + 3*t^4.75 + 3*t^4.89 + 6*t^5.06 + 2*t^5.2 + 5*t^5.38 + t^5.52 + 3*t^5.69 - t^6. - t^4.42/y - t^4.42*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 555 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_4$ | 0.5462 | 0.7009 | 0.7793 | [X:[], M:[1.049, 0.853, 1.147, 0.853], q:[0.7622, 0.1888], qb:[0.4827, 0.6643], phi:[0.4755]] | t^2.01 + 3*t^2.56 + t^2.85 + t^3.15 + t^3.44 + t^3.73 + t^3.99 + t^4.03 + t^4.28 + t^4.32 + 2*t^4.57 + 2*t^4.87 + 5*t^5.12 + t^5.16 + 4*t^5.41 + 2*t^5.71 + t^5.75 - t^4.43/y - t^4.43*y | detail |