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 |
|---|---|---|---|---|---|---|---|---|---|
| 2918 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ | 0.6264 | 0.8129 | 0.7706 | [X:[], M:[0.9842, 1.0474, 1.0158, 0.9526, 0.7618, 0.7934], q:[0.7461, 0.2697], qb:[0.4605, 0.4921], phi:[0.5079]] | [X:[], M:[[4], [-12], [-4], [12], [-3], [-11]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ M_5$, $ q_2\tilde{q}_2$, $ M_6$, $ M_4$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_6$, $ M_6q_2\tilde{q}_2$, $ M_6^2$, $ M_4q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_4M_6$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_6$, $ M_6\phi_1^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_6\phi_1q_2^2$, $ M_4^2$, $ M_3M_4$, $ M_4\phi_1^2$ | $M_4\phi_1q_2^2$, $ M_5q_1\tilde{q}_2$ | 0 | t^2.19 + 2*t^2.29 + t^2.38 + t^2.86 + 2*t^3.05 + t^3.14 + t^3.71 + t^3.81 + t^4.29 + 2*t^4.38 + 3*t^4.48 + 4*t^4.57 + 2*t^4.67 + t^4.76 + t^5.05 + 2*t^5.14 + 3*t^5.24 + 4*t^5.33 + 3*t^5.43 + t^5.52 + t^5.72 + t^5.91 + 3*t^6.09 + 3*t^6.19 + t^6.28 + t^6.48 + 3*t^6.57 + 3*t^6.67 + 5*t^6.76 + 7*t^6.86 + 4*t^6.95 + 2*t^7.05 + 2*t^7.14 + t^7.24 + 3*t^7.33 + 4*t^7.43 + 5*t^7.52 + 8*t^7.62 + 5*t^7.71 + 3*t^7.81 + t^7.9 + t^7.91 + 2*t^8. - 2*t^8.19 + 3*t^8.38 + 5*t^8.47 + 6*t^8.57 + t^8.66 + 2*t^8.67 + 4*t^8.76 + 2*t^8.86 + 2*t^8.95 - t^4.52/y - t^6.81/y - t^6.9/y + (3*t^7.48)/y + t^7.57/y + (2*t^7.67)/y + t^8.05/y + (3*t^8.14)/y + (4*t^8.24)/y + (5*t^8.33)/y + (4*t^8.43)/y + t^8.52/y + (3*t^8.91)/y - t^4.52*y - t^6.81*y - t^6.9*y + 3*t^7.48*y + t^7.57*y + 2*t^7.67*y + t^8.05*y + 3*t^8.14*y + 4*t^8.24*y + 5*t^8.33*y + 4*t^8.43*y + t^8.52*y + 3*t^8.91*y | g1^5*t^2.19 + (2*t^2.29)/g1^3 + t^2.38/g1^11 + g1^12*t^2.86 + (2*t^3.05)/g1^4 + t^3.14/g1^12 + g1^3*t^3.71 + t^3.81/g1^5 + g1^18*t^4.29 + 2*g1^10*t^4.38 + 3*g1^2*t^4.48 + (4*t^4.57)/g1^6 + (2*t^4.67)/g1^14 + t^4.76/g1^22 + g1^17*t^5.05 + 2*g1^9*t^5.14 + 3*g1*t^5.24 + (4*t^5.33)/g1^7 + (3*t^5.43)/g1^15 + t^5.52/g1^23 + g1^24*t^5.72 + g1^8*t^5.91 + (3*t^6.09)/g1^8 + (3*t^6.19)/g1^16 + t^6.28/g1^24 + g1^23*t^6.48 + 3*g1^15*t^6.57 + 3*g1^7*t^6.67 + (5*t^6.76)/g1 + (7*t^6.86)/g1^9 + (4*t^6.95)/g1^17 + (2*t^7.05)/g1^25 + t^7.14/g1^33 + g1^30*t^7.14 + g1^22*t^7.24 + 3*g1^14*t^7.33 + 4*g1^6*t^7.43 + (5*t^7.52)/g1^2 + (8*t^7.62)/g1^10 + (5*t^7.71)/g1^18 + (3*t^7.81)/g1^26 + t^7.9/g1^34 + g1^29*t^7.91 + 2*g1^21*t^8. - 2*g1^5*t^8.19 + (3*t^8.38)/g1^11 + (5*t^8.47)/g1^19 + (4*t^8.57)/g1^27 + 2*g1^36*t^8.57 + t^8.66/g1^35 + 2*g1^28*t^8.67 + 4*g1^20*t^8.76 + 2*g1^12*t^8.86 + 2*g1^4*t^8.95 - t^4.52/(g1^2*y) - t^6.81/(g1^5*y) - t^6.9/(g1^13*y) + (3*g1^2*t^7.48)/y + t^7.57/(g1^6*y) + (2*t^7.67)/(g1^14*y) + (g1^17*t^8.05)/y + (3*g1^9*t^8.14)/y + (4*g1*t^8.24)/y + (5*t^8.33)/(g1^7*y) + (4*t^8.43)/(g1^15*y) + t^8.52/(g1^23*y) + (3*g1^8*t^8.91)/y - (t^4.52*y)/g1^2 - (t^6.81*y)/g1^5 - (t^6.9*y)/g1^13 + 3*g1^2*t^7.48*y + (t^7.57*y)/g1^6 + (2*t^7.67*y)/g1^14 + g1^17*t^8.05*y + 3*g1^9*t^8.14*y + 4*g1*t^8.24*y + (5*t^8.33*y)/g1^7 + (4*t^8.43*y)/g1^15 + (t^8.52*y)/g1^23 + 3*g1^8*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 3504 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ | 0.619 | 0.8038 | 0.7701 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.09 + 2*t^2.35 + 2*t^2.61 + 2*t^3.13 + t^3.39 + t^3.65 + 2*t^3.91 + 2*t^4.17 + 3*t^4.43 + 5*t^4.7 + 4*t^4.96 + 5*t^5.22 + 4*t^5.48 + 4*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 15063/24334, c: 39119/48668, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
| 3505 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ | 0.6327 | 0.8239 | 0.768 | [X:[], M:[0.9706, 1.0881, 1.0294, 0.9119, 0.772, 0.8307, 0.9119], q:[0.7427, 0.2867], qb:[0.4266, 0.4853], phi:[0.5147]] | t^2.14 + 2*t^2.32 + t^2.49 + 2*t^2.74 + 2*t^3.09 + t^3.68 + t^3.86 + t^4.1 + 2*t^4.28 + 3*t^4.46 + 4*t^4.63 + 2*t^4.81 + 2*t^4.88 + t^4.98 + 4*t^5.05 + 4*t^5.23 + 3*t^5.4 + 3*t^5.47 + t^5.58 + 3*t^5.82 - t^6. - t^4.54/y - t^4.54*y | detail | |
| 3506 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.645 | 0.8466 | 0.7619 | [X:[], M:[0.986, 1.042, 1.014, 0.958, 0.7605, 0.7885, 0.7605], q:[0.7465, 0.2675], qb:[0.465, 0.493], phi:[0.507]] | t^2.2 + 3*t^2.28 + t^2.37 + t^2.87 + 2*t^3.04 + t^3.13 + t^3.8 + t^4.31 + 2*t^4.39 + 4*t^4.48 + 7*t^4.56 + 3*t^4.65 + t^4.73 + t^5.07 + 3*t^5.16 + 3*t^5.24 + 6*t^5.32 + 4*t^5.41 + t^5.49 + t^5.75 - 2*t^6. - t^4.52/y - t^4.52*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1894 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.6305 | 0.8225 | 0.7665 | [X:[], M:[0.9712, 1.0863, 1.0288, 0.9137, 0.7209, 0.7784], q:[0.7428, 0.286], qb:[0.4788, 0.4349], phi:[0.5144]] | 2*t^2.16 + t^2.29 + t^2.34 + t^2.74 + 2*t^3.09 + t^3.26 + t^3.53 + t^3.71 + t^4.15 + t^4.28 + 3*t^4.33 + t^4.42 + 2*t^4.46 + 2*t^4.5 + t^4.59 + t^4.63 + t^4.67 + 2*t^4.9 + t^5.04 + t^5.08 + 4*t^5.25 + 2*t^5.38 + 3*t^5.42 + t^5.48 + t^5.59 + 2*t^5.7 + 2*t^5.83 + 2*t^5.87 - 2*t^6. - t^4.54/y - t^4.54*y | detail |