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 |
|---|---|---|---|---|---|---|---|---|---|
| 1977 | 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_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.6827 | 0.8615 | 0.7925 | [X:[], M:[0.9635, 1.0882, 1.1398, 0.8602, 0.6839, 0.6839], q:[0.772, 0.5441], qb:[0.4924, 0.3678], phi:[0.4559]] | [X:[], M:[[13], [-4], [5], [-5], [3], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_4M_6$, $ \phi_1q_2^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_5$, $ M_1M_6$, $ M_4^2$, $ M_2M_5$, $ M_2M_6$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_3M_5$, $ M_3M_6$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_6\phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_2M_4$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$ | . | -1 | 2*t^2.05 + t^2.58 + t^2.74 + t^2.89 + t^3.26 + t^3.42 + t^3.57 + t^3.79 + 4*t^4.1 + t^4.32 + t^4.48 + 3*t^4.63 + 2*t^4.79 + 2*t^4.94 + t^5.16 + 3*t^5.32 + 3*t^5.47 + 2*t^5.63 + t^5.78 + 2*t^5.85 - t^6. + 7*t^6.15 + 2*t^6.31 + 2*t^6.37 + t^6.46 + t^6.53 + 5*t^6.68 + 3*t^6.84 + t^6.9 + 4*t^6.99 + 2*t^7.06 + t^7.15 + 2*t^7.21 + 5*t^7.37 + 5*t^7.52 + t^7.59 + 4*t^7.68 + 2*t^7.83 + 3*t^7.9 - 2*t^8.05 + t^8.12 + 11*t^8.21 + 4*t^8.36 + 2*t^8.43 + 2*t^8.52 - 2*t^8.58 + t^8.64 + t^8.67 + 6*t^8.74 + t^8.8 + 2*t^8.89 + 3*t^8.95 - t^4.37/y - (2*t^6.42)/y + t^7.1/y - t^7.26/y + t^7.48/y + (2*t^7.63)/y + (2*t^7.79)/y + (2*t^7.94)/y + (5*t^8.32)/y + (3*t^8.63)/y + (3*t^8.85)/y - t^4.37*y - 2*t^6.42*y + t^7.1*y - t^7.26*y + t^7.48*y + 2*t^7.63*y + 2*t^7.79*y + 2*t^7.94*y + 5*t^8.32*y + 3*t^8.63*y + 3*t^8.85*y | 2*g1^3*t^2.05 + t^2.58/g1^5 + g1^4*t^2.74 + g1^13*t^2.89 + t^3.26/g1^4 + g1^5*t^3.42 + g1^14*t^3.57 + t^3.79/g1^12 + 4*g1^6*t^4.1 + t^4.32/g1^20 + t^4.48/g1^11 + (3*t^4.63)/g1^2 + 2*g1^7*t^4.79 + 2*g1^16*t^4.94 + t^5.16/g1^10 + (3*t^5.32)/g1 + 3*g1^8*t^5.47 + 2*g1^17*t^5.63 + g1^26*t^5.78 + (2*t^5.85)/g1^9 - t^6. + 7*g1^9*t^6.15 + 2*g1^18*t^6.31 + (2*t^6.37)/g1^17 + g1^27*t^6.46 + t^6.53/g1^8 + 5*g1*t^6.68 + 3*g1^10*t^6.84 + t^6.9/g1^25 + 4*g1^19*t^6.99 + (2*t^7.06)/g1^16 + g1^28*t^7.15 + (2*t^7.21)/g1^7 + 5*g1^2*t^7.37 + 5*g1^11*t^7.52 + t^7.59/g1^24 + 4*g1^20*t^7.68 + 2*g1^29*t^7.83 + (3*t^7.9)/g1^6 - 2*g1^3*t^8.05 + t^8.12/g1^32 + 11*g1^12*t^8.21 + 4*g1^21*t^8.36 + (2*t^8.43)/g1^14 + 2*g1^30*t^8.52 - (2*t^8.58)/g1^5 + t^8.64/g1^40 + g1^39*t^8.67 + 6*g1^4*t^8.74 + t^8.8/g1^31 + 2*g1^13*t^8.89 + (3*t^8.95)/g1^22 - (g1^2*t^4.37)/y - (2*g1^5*t^6.42)/y + (g1^6*t^7.1)/y - (g1^15*t^7.26)/y + t^7.48/(g1^11*y) + (2*t^7.63)/(g1^2*y) + (2*g1^7*t^7.79)/y + (2*g1^16*t^7.94)/y + (5*t^8.32)/(g1*y) + (3*g1^17*t^8.63)/y + (3*t^8.85)/(g1^9*y) - g1^2*t^4.37*y - 2*g1^5*t^6.42*y + g1^6*t^7.1*y - g1^15*t^7.26*y + (t^7.48*y)/g1^11 + (2*t^7.63*y)/g1^2 + 2*g1^7*t^7.79*y + 2*g1^16*t^7.94*y + (5*t^8.32*y)/g1 + 3*g1^17*t^8.63*y + (3*t^8.85*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3026 | $\phi_1q_1^2$ + $ 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_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_1^2$ | 0.6815 | 0.8594 | 0.793 | [X:[], M:[1.0, 1.0769, 1.1538, 0.8462, 0.6923, 0.6923], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | 2*t^2.08 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + 2*t^3.69 + 5*t^4.15 + t^4.38 + 3*t^4.62 + 2*t^4.85 + 3*t^5.08 + 3*t^5.31 + 3*t^5.54 + 4*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 23955/35152, c: 1888/2197, M1: 1, M2: 14/13, M3: 15/13, M4: 11/13, M5: 9/13, M6: 9/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
| 3027 | $\phi_1q_1^2$ + $ 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_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_1$ | 0.7025 | 0.899 | 0.7815 | [X:[], M:[0.9494, 1.0925, 1.1344, 0.8656, 0.6806, 0.6806, 0.7226], q:[0.7731, 0.5462], qb:[0.5043, 0.3613], phi:[0.4538]] | 2*t^2.04 + t^2.17 + t^2.6 + t^2.72 + t^2.85 + t^3.28 + t^3.4 + t^3.53 + 4*t^4.08 + 2*t^4.21 + t^4.34 + t^4.39 + t^4.51 + 3*t^4.64 + 3*t^4.76 + 3*t^4.89 + t^5.02 + t^5.19 + 3*t^5.32 + 4*t^5.45 + 3*t^5.57 + 2*t^5.7 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 700 | 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_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.662 | 0.821 | 0.8063 | [X:[], M:[0.9647, 1.0878, 1.1403, 0.8597, 0.6842], q:[0.7719, 0.5439], qb:[0.4914, 0.3683], phi:[0.4561]] | t^2.05 + t^2.58 + t^2.74 + t^2.89 + t^3.26 + t^3.42 + t^3.58 + t^3.79 + t^3.95 + 2*t^4.1 + t^4.32 + t^4.47 + 2*t^4.63 + t^4.79 + t^4.95 + t^5.16 + 2*t^5.32 + 2*t^5.47 + t^5.63 + t^5.79 + t^5.84 - t^4.37/y - t^4.37*y | detail |