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 |
|---|---|---|---|---|---|---|---|---|---|
| 699 | 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_2M_5$ + $ M_1\phi_1^2$ | 0.6682 | 0.8218 | 0.813 | [X:[], M:[1.0917, 1.0917, 0.9959, 0.725, 0.9083], q:[0.7729, 0.4063], qb:[0.502, 0.502], phi:[0.4542]] | [X:[], M:[[4], [4], [-22], [-12], [-4]], q:[[1], [-15]], qb:[[11], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_1M_4$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_4q_1q_2$, $ M_3^2$, $ M_4\phi_1q_2^2$ | $M_1M_5$, $ M_4q_1\tilde{q}_1$ | -2 | t^2.18 + 2*t^2.73 + t^2.99 + t^3.27 + t^3.54 + t^3.8 + t^3.82 + 2*t^4.09 + t^4.35 + 3*t^4.37 + 2*t^4.9 + t^5.16 + 4*t^5.45 + t^5.71 + 2*t^5.98 - 2*t^6. + 4*t^6.26 - 2*t^6.29 + 4*t^6.53 + 3*t^6.55 + t^6.79 + 3*t^6.81 + 3*t^7.08 + 4*t^7.1 + 2*t^7.34 + t^7.6 + 5*t^7.63 - t^7.65 + 3*t^7.89 + t^7.91 + 2*t^8.15 + 4*t^8.18 + t^8.2 + 3*t^8.44 + 4*t^8.7 - 4*t^8.73 + 5*t^8.75 + 2*t^8.96 + 2*t^8.99 - t^4.36/y - t^6.54/y - t^7.35/y + t^7.37/y + (2*t^7.9)/y + t^8.16/y + t^8.19/y + (2*t^8.45)/y + (2*t^8.71)/y + t^8.98/y - t^4.36*y - t^6.54*y - t^7.35*y + t^7.37*y + 2*t^7.9*y + t^8.16*y + t^8.19*y + 2*t^8.45*y + 2*t^8.71*y + t^8.98*y | t^2.18/g1^12 + (2*t^2.73)/g1^4 + t^2.99/g1^22 + g1^4*t^3.27 + t^3.54/g1^14 + t^3.8/g1^32 + g1^12*t^3.82 + (2*t^4.09)/g1^6 + t^4.35/g1^24 + 3*g1^20*t^4.37 + (2*t^4.9)/g1^16 + t^5.16/g1^34 + (4*t^5.45)/g1^8 + t^5.71/g1^26 + (2*t^5.98)/g1^44 - 2*t^6. + (4*t^6.26)/g1^18 - 2*g1^26*t^6.29 + (4*t^6.53)/g1^36 + 3*g1^8*t^6.55 + t^6.79/g1^54 + (3*t^6.81)/g1^10 + (3*t^7.08)/g1^28 + 4*g1^16*t^7.1 + (2*t^7.34)/g1^46 + t^7.6/g1^64 + (5*t^7.63)/g1^20 - g1^24*t^7.65 + (3*t^7.89)/g1^38 + g1^6*t^7.91 + (2*t^8.15)/g1^56 + (4*t^8.18)/g1^12 + g1^32*t^8.2 + (3*t^8.44)/g1^30 + (4*t^8.7)/g1^48 - (4*t^8.73)/g1^4 + 5*g1^40*t^8.75 + (2*t^8.96)/g1^66 + (2*t^8.99)/g1^22 - t^4.36/(g1^2*y) - t^6.54/(g1^14*y) - t^7.35/(g1^24*y) + (g1^20*t^7.37)/y + (2*t^7.9)/(g1^16*y) + t^8.16/(g1^34*y) + (g1^10*t^8.19)/y + (2*t^8.45)/(g1^8*y) + (2*t^8.71)/(g1^26*y) + t^8.98/(g1^44*y) - (t^4.36*y)/g1^2 - (t^6.54*y)/g1^14 - (t^7.35*y)/g1^24 + g1^20*t^7.37*y + (2*t^7.9*y)/g1^16 + (t^8.16*y)/g1^34 + g1^10*t^8.19*y + (2*t^8.45*y)/g1^8 + (2*t^8.71*y)/g1^26 + (t^8.98*y)/g1^44 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1128 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_1\phi_1^2$ + $ M_1M_6$ | 0.6766 | 0.8365 | 0.8088 | [X:[], M:[1.0931, 1.0931, 0.9878, 0.7206, 0.9069, 0.9069], q:[0.7733, 0.4008], qb:[0.5061, 0.5061], phi:[0.4534]] | t^2.16 + 3*t^2.72 + t^2.96 + t^3.52 + t^3.77 + t^3.84 + 2*t^4.08 + t^4.32 + 3*t^4.4 + 3*t^4.88 + t^5.13 + 6*t^5.44 + 2*t^5.68 + 2*t^5.93 - 4*t^6. - t^4.36/y - t^4.36*y | detail | |
| 1131 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_1\phi_1^2$ + $ M_3M_4$ | 0.6388 | 0.7821 | 0.8167 | [X:[], M:[1.0588, 1.0588, 1.1765, 0.8235, 0.9412], q:[0.7647, 0.5294], qb:[0.4118, 0.4118], phi:[0.4706]] | t^2.47 + 2*t^2.82 + t^3.18 + 2*t^3.53 + 4*t^3.88 + 2*t^4.24 + t^4.59 + t^4.94 + 2*t^5.29 + 2*t^5.65 - t^6. - t^4.41/y - t^4.41*y | detail | {a: 50211/78608, c: 30741/39304, M1: 18/17, M2: 18/17, M3: 20/17, M4: 14/17, M5: 16/17, q1: 13/17, q2: 9/17, qb1: 7/17, qb2: 7/17, phi1: 8/17} |
| 1130 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_1\phi_1^2$ + $ M_3M_5$ | 0.662 | 0.811 | 0.8162 | [X:[], M:[1.0769, 1.0769, 1.0769, 0.7692, 0.9231], q:[0.7692, 0.4615], qb:[0.4615, 0.4615], phi:[0.4615]] | t^2.31 + 2*t^2.77 + 2*t^3.23 + 2*t^3.69 + 6*t^4.15 + t^4.62 + 2*t^5.08 + 5*t^5.54 - 3*t^6. - t^4.38/y - t^4.38*y | detail | {a: 23271/35152, c: 14255/17576, M1: 14/13, M2: 14/13, M3: 14/13, M4: 10/13, M5: 12/13, q1: 10/13, q2: 6/13, qb1: 6/13, qb2: 6/13, phi1: 6/13} |
| 1129 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_1\phi_1^2$ + $ M_5M_6$ | 0.6599 | 0.8074 | 0.8173 | [X:[], M:[1.0902, 1.0902, 1.0041, 0.7295, 0.9098, 1.0902], q:[0.7725, 0.4119], qb:[0.4979, 0.4979], phi:[0.4549]] | t^2.19 + t^2.73 + t^3.01 + 2*t^3.27 + t^3.55 + t^3.81 + t^3.84 + 2*t^4.09 + 3*t^4.35 + t^4.38 + t^4.92 + t^5.2 + 3*t^5.46 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 1132 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_1\phi_1^2$ + $ M_6\phi_1q_2^2$ | 0.6883 | 0.8591 | 0.8011 | [X:[], M:[1.0886, 1.0886, 1.0127, 0.7342, 0.9114, 0.7087], q:[0.7721, 0.4178], qb:[0.4936, 0.4936], phi:[0.4557]] | t^2.13 + t^2.2 + 2*t^2.73 + t^3.04 + t^3.27 + t^3.57 + t^3.8 + 2*t^4.1 + t^4.25 + 4*t^4.33 + t^4.41 + 2*t^4.86 + 2*t^4.94 + t^5.16 + t^5.24 + t^5.39 + 4*t^5.47 + t^5.7 + t^5.77 + t^5.92 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 1981 | $\phi_1q_1^2$ + $ 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_2M_5$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_1$ | 0.6882 | 0.8597 | 0.8005 | [X:[], M:[1.0931, 1.0931, 0.9881, 0.7208, 0.9069, 0.7208], q:[0.7733, 0.401], qb:[0.506, 0.506], phi:[0.4535]] | 2*t^2.16 + 2*t^2.72 + t^2.96 + t^3.28 + t^3.52 + t^3.77 + 2*t^4.08 + 3*t^4.32 + 3*t^4.4 + 4*t^4.88 + 2*t^5.13 + 5*t^5.44 + 2*t^5.68 + 3*t^5.93 - 3*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 422 | 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_2M_5$ | 0.6786 | 0.8339 | 0.8138 | [X:[], M:[0.9772, 1.1268, 0.9523, 0.7692, 0.8732], q:[0.7817, 0.4242], qb:[0.5987, 0.4491], phi:[0.4366]] | t^2.31 + 2*t^2.62 + t^2.86 + t^2.93 + t^3.62 + t^3.85 + t^3.93 + t^4. + t^4.14 + t^4.38 + t^4.45 + t^4.62 + t^4.9 + 2*t^4.93 + t^5.16 + 4*t^5.24 + t^5.48 + t^5.55 + t^5.71 + t^5.79 + t^5.86 - 3*t^6. - t^4.31/y - t^4.31*y | detail |