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 |
|---|---|---|---|---|---|---|---|---|---|
| 2904 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ | 0.6303 | 0.8194 | 0.7692 | [X:[], M:[0.9745, 1.0764, 0.9745, 0.9236, 0.7691, 0.82], q:[0.7436, 0.2818], qb:[0.4363, 0.4873], phi:[0.5127]] | [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_1$, $ M_3$, $ \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_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_6$, $ M_3M_6$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_4^2$, $ M_6\phi_1q_2^2$, $ M_1M_4$, $ M_3M_4$, $ M_1^2$, $ M_1M_3$, $ M_3^2$ | $M_4\phi_1q_2^2$, $ M_5q_1\tilde{q}_2$ | 0 | t^2.15 + 2*t^2.31 + t^2.46 + t^2.77 + 2*t^2.92 + t^3.23 + t^3.69 + t^3.85 + t^4.16 + 2*t^4.31 + 3*t^4.46 + 4*t^4.61 + 2*t^4.77 + t^4.92 + t^4.93 + 4*t^5.08 + 5*t^5.23 + 2*t^5.38 + 2*t^5.54 + 3*t^5.69 + 2*t^5.85 + 2*t^6.15 + 2*t^6.31 + 4*t^6.46 + 5*t^6.62 + 5*t^6.77 + 5*t^6.92 + t^6.93 + 4*t^7.07 + 3*t^7.08 + 7*t^7.23 + t^7.38 + 6*t^7.39 + 7*t^7.54 + 4*t^7.69 + t^7.7 + 3*t^7.84 + 4*t^7.85 + 6*t^8. + 3*t^8.15 - t^8.46 + 4*t^8.47 + 2*t^8.61 + 5*t^8.62 + 6*t^8.77 + 2*t^8.92 - t^4.54/y - t^6.85/y - t^7./y + t^7.46/y + (3*t^7.61)/y + (2*t^7.77)/y + t^7.93/y + (5*t^8.08)/y + (6*t^8.23)/y + (3*t^8.38)/y + (2*t^8.54)/y + (3*t^8.69)/y + (2*t^8.85)/y - t^4.54*y - t^6.85*y - t^7.*y + t^7.46*y + 3*t^7.61*y + 2*t^7.77*y + t^7.93*y + 5*t^8.08*y + 6*t^8.23*y + 3*t^8.38*y + 2*t^8.54*y + 3*t^8.69*y + 2*t^8.85*y | g1^5*t^2.15 + (2*t^2.31)/g1^3 + t^2.46/g1^11 + g1^12*t^2.77 + 2*g1^4*t^2.92 + t^3.23/g1^12 + g1^3*t^3.69 + t^3.85/g1^5 + g1^18*t^4.16 + 2*g1^10*t^4.31 + 3*g1^2*t^4.46 + (4*t^4.61)/g1^6 + (2*t^4.77)/g1^14 + t^4.92/g1^22 + g1^17*t^4.93 + 4*g1^9*t^5.08 + 5*g1*t^5.23 + (2*t^5.38)/g1^7 + t^5.54/g1^15 + g1^24*t^5.54 + t^5.69/g1^23 + 2*g1^16*t^5.69 + 2*g1^8*t^5.85 + (2*t^6.15)/g1^8 + t^6.31/g1^16 + g1^23*t^6.31 + t^6.46/g1^24 + 3*g1^15*t^6.46 + 5*g1^7*t^6.62 + (5*t^6.77)/g1 + (5*t^6.92)/g1^9 + g1^30*t^6.93 + (4*t^7.07)/g1^17 + 3*g1^22*t^7.08 + (2*t^7.23)/g1^25 + 5*g1^14*t^7.23 + t^7.38/g1^33 + 6*g1^6*t^7.39 + (7*t^7.54)/g1^2 + (4*t^7.69)/g1^10 + g1^29*t^7.7 + (3*t^7.84)/g1^18 + 4*g1^21*t^7.85 + t^8./g1^26 + 5*g1^13*t^8. + t^8.15/g1^34 + 2*g1^5*t^8.15 - (2*t^8.31)/g1^3 + 2*g1^36*t^8.31 - t^8.46/g1^11 + 4*g1^28*t^8.47 + (2*t^8.61)/g1^19 + 5*g1^20*t^8.62 + (2*t^8.77)/g1^27 + 4*g1^12*t^8.77 + t^8.92/g1^35 + g1^4*t^8.92 - t^4.54/(g1^2*y) - t^6.85/(g1^5*y) - t^7./(g1^13*y) + (g1^2*t^7.46)/y + (3*t^7.61)/(g1^6*y) + (2*t^7.77)/(g1^14*y) + (g1^17*t^7.93)/y + (5*g1^9*t^8.08)/y + (6*g1*t^8.23)/y + (3*t^8.38)/(g1^7*y) + (2*t^8.54)/(g1^15*y) + t^8.69/(g1^23*y) + (2*g1^16*t^8.69)/y + (2*g1^8*t^8.85)/y - (t^4.54*y)/g1^2 - (t^6.85*y)/g1^5 - (t^7.*y)/g1^13 + g1^2*t^7.46*y + (3*t^7.61*y)/g1^6 + (2*t^7.77*y)/g1^14 + g1^17*t^7.93*y + 5*g1^9*t^8.08*y + 6*g1*t^8.23*y + (3*t^8.38*y)/g1^7 + (2*t^8.54*y)/g1^15 + (t^8.69*y)/g1^23 + 2*g1^16*t^8.69*y + 2*g1^8*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 3492 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2^2$ | 0.6271 | 0.8173 | 0.7673 | [X:[], M:[0.9565, 1.1304, 0.9565, 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^2.87 + t^3.39 + t^3.65 + 2*t^3.91 + 2*t^4.17 + 3*t^4.43 + 5*t^4.7 + 6*t^4.96 + 7*t^5.22 + 4*t^5.48 + 3*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 61041/97336, c: 19889/24334, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 18/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
| 3493 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.6485 | 0.852 | 0.7612 | [X:[], M:[0.9764, 1.0708, 0.9764, 0.9292, 0.7677, 0.8149, 0.7677], q:[0.7441, 0.2795], qb:[0.441, 0.4882], phi:[0.5118]] | t^2.16 + 3*t^2.3 + t^2.44 + t^2.79 + 2*t^2.93 + t^3.21 + t^3.84 + t^4.18 + 2*t^4.32 + 4*t^4.46 + 7*t^4.61 + 3*t^4.75 + t^4.89 + t^4.95 + 5*t^5.09 + 7*t^5.23 + 2*t^5.37 + 2*t^5.52 + t^5.58 + t^5.66 + 2*t^5.72 + t^5.86 - 2*t^6. - t^4.54/y - t^4.54*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1885 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ | 0.616 | 0.7963 | 0.7736 | [X:[], M:[0.964, 1.108, 0.964, 0.892, 0.777], q:[0.741, 0.295], qb:[0.41, 0.482], phi:[0.518]] | t^2.11 + 2*t^2.33 + t^2.68 + 2*t^2.89 + t^3.32 + t^3.45 + t^3.67 + t^3.89 + t^4.01 + 2*t^4.23 + 3*t^4.45 + 3*t^4.66 + t^4.79 + 4*t^5.01 + 4*t^5.22 + t^5.35 + 3*t^5.57 + t^5.66 + 4*t^5.78 - t^4.55/y - t^4.55*y | detail |