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 |
|---|---|---|---|---|---|---|---|---|---|
| 55061 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_6$ | 0.6723 | 0.8258 | 0.8141 | [X:[], M:[1.0184, 1.0876, 1.0876, 0.9124, 0.8064, 0.9124], q:[0.4908, 0.4908], qb:[0.4217, 0.7719], phi:[0.4562]] | [X:[], M:[[-22], [4], [4], [-4], [14], [-4]], q:[[11], [11]], qb:[[-15], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_5^2$, $ M_4M_5$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_4^2$, $ M_1M_5$, $ M_4M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_1M_6$, $ M_1\phi_1^2$ | . | -5 | t^2.42 + 3*t^2.74 + t^3.06 + 2*t^3.79 + t^3.9 + 2*t^4.11 + 3*t^4.31 + t^4.84 + 3*t^5.16 + 7*t^5.47 + t^5.79 - 5*t^6. + t^6.11 + 5*t^6.53 + 3*t^6.64 + 3*t^6.73 + 5*t^6.84 + t^6.95 + 6*t^7.05 - t^7.16 + t^7.26 - 3*t^7.37 + t^7.58 + t^7.8 + 7*t^7.89 + 2*t^8. + 4*t^8.1 + 13*t^8.21 - 3*t^8.42 + t^8.53 + 5*t^8.63 - 15*t^8.74 + t^8.85 - t^8.94 - t^4.37/y - t^6.79/y - t^7.11/y + t^7.31/y - t^7.42/y + t^7.63/y + t^7.95/y + (3*t^8.16)/y + (4*t^8.47)/y + (3*t^8.79)/y - t^4.37*y - t^6.79*y - t^7.11*y + t^7.31*y - t^7.42*y + t^7.63*y + t^7.95*y + 3*t^8.16*y + 4*t^8.47*y + 3*t^8.79*y | g1^14*t^2.42 + (3*t^2.74)/g1^4 + t^3.06/g1^22 + 2*g1^12*t^3.79 + t^3.9/g1^32 + (2*t^4.11)/g1^6 + 3*g1^20*t^4.31 + g1^28*t^4.84 + 3*g1^10*t^5.16 + (7*t^5.47)/g1^8 + t^5.79/g1^26 - 5*t^6. + t^6.11/g1^44 + 5*g1^8*t^6.53 + (3*t^6.64)/g1^36 + 3*g1^34*t^6.73 + (5*t^6.84)/g1^10 + t^6.95/g1^54 + 6*g1^16*t^7.05 - t^7.16/g1^28 + g1^42*t^7.26 - (3*t^7.37)/g1^2 + g1^24*t^7.58 + t^7.8/g1^64 + 7*g1^6*t^7.89 + (2*t^8.)/g1^38 + 4*g1^32*t^8.1 + (13*t^8.21)/g1^12 - 3*g1^14*t^8.42 + t^8.53/g1^30 + 5*g1^40*t^8.63 - (15*t^8.74)/g1^4 + t^8.85/g1^48 - g1^22*t^8.94 - t^4.37/(g1^2*y) - (g1^12*t^6.79)/y - t^7.11/(g1^6*y) + (g1^20*t^7.31)/y - t^7.42/(g1^24*y) + (g1^2*t^7.63)/y + t^7.95/(g1^16*y) + (3*g1^10*t^8.16)/y + (4*t^8.47)/(g1^8*y) + (3*t^8.79)/(g1^26*y) - (t^4.37*y)/g1^2 - g1^12*t^6.79*y - (t^7.11*y)/g1^6 + g1^20*t^7.31*y - (t^7.42*y)/g1^24 + g1^2*t^7.63*y + (t^7.95*y)/g1^16 + 3*g1^10*t^8.16*y + (4*t^8.47*y)/g1^8 + (3*t^8.79*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56653 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_6$ + $ M_5^2$ | 0.5778 | 0.7296 | 0.792 | [X:[], M:[0.7143, 1.1429, 1.1429, 0.8571, 1.0, 0.8571], q:[0.6429, 0.6429], qb:[0.2143, 0.7857], phi:[0.4286]] | t^2.14 + 4*t^2.57 + t^3. + 2*t^3.86 + 3*t^4.29 + 2*t^4.71 + 14*t^5.14 + 3*t^5.57 - 5*t^6. - t^4.29/y - t^4.29*y | detail | {a: 453/784, c: 143/196, M1: 5/7, M2: 8/7, M3: 8/7, M4: 6/7, M5: 1, M6: 6/7, q1: 9/14, q2: 9/14, qb1: 3/14, qb2: 11/14, phi1: 3/7} |
| 56657 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_6$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6929 | 0.866 | 0.8001 | [X:[], M:[1.0273, 1.086, 1.086, 0.914, 0.8008, 0.914, 0.6876], q:[0.4864, 0.4864], qb:[0.4277, 0.7715], phi:[0.457]] | t^2.06 + t^2.4 + 3*t^2.74 + t^3.08 + 2*t^3.77 + 2*t^4.11 + t^4.13 + 3*t^4.29 + t^4.47 + 4*t^4.81 + 4*t^5.14 + 7*t^5.48 + t^5.82 + 2*t^5.84 - 5*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46846 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ | 0.6643 | 0.8125 | 0.8176 | [X:[], M:[1.0269, 1.086, 1.086, 0.914, 0.8011], q:[0.4866, 0.4866], qb:[0.4274, 0.7715], phi:[0.457]] | t^2.4 + 2*t^2.74 + t^3.08 + t^3.26 + 2*t^3.77 + t^3.94 + 2*t^4.11 + 3*t^4.29 + t^4.81 + 2*t^5.15 + 4*t^5.48 + t^5.66 - 3*t^6. - t^4.37/y - t^4.37*y | detail |