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 |
|---|---|---|---|---|---|---|---|---|---|
| 1476 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ | 0.6458 | 0.7917 | 0.8158 | [X:[1.3333], M:[1.1111, 0.6667, 0.8889, 0.8889, 1.1111, 0.8889], q:[0.5556, 0.3333], qb:[0.5556, 0.7778], phi:[0.4444]] | [X:[[6]], M:[[2], [-6], [-11], [7], [-7], [7]], q:[[1], [-3]], qb:[[10], [-4]], phi:[[-1]]] | 1 | {a: 31/48, c: 19/24, X1: 4/3, M1: 10/9, M2: 2/3, M3: 8/9, M4: 8/9, M5: 10/9, M6: 8/9, q1: 5/9, q2: 1/3, qb1: 5/9, qb2: 7/9, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$ | ${}M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 2 | 4*t^2.667 + 2*t^3.333 + 4*t^4. + 3*t^4.667 + 8*t^5.333 + 2*t^6. + 8*t^6.667 + 9*t^7.333 + 15*t^8. + t^8.667 - t^4.333/y - (2*t^7.)/y + (2*t^7.667)/y + (6*t^8.333)/y - t^4.333*y - 2*t^7.*y + 2*t^7.667*y + 6*t^8.333*y | t^2.667/g1^11 + t^2.667/g1^2 + 2*g1^7*t^2.667 + t^3.333/g1^7 + g1^2*t^3.333 + (2*t^4.)/g1^3 + 2*g1^6*t^4. + t^4.667/g1^8 + g1^10*t^4.667 + g1^19*t^4.667 + t^5.333/g1^22 + (3*t^5.333)/g1^4 + 2*g1^5*t^5.333 + 2*g1^14*t^5.333 - 2*t^6. + t^6./g1^18 + (2*t^6.)/g1^9 + g1^9*t^6. + t^6.667/g1^14 + (2*t^6.667)/g1^5 + 3*g1^4*t^6.667 + 2*g1^13*t^6.667 + t^7.333/g1^19 + t^7.333/g1^10 + t^7.333/g1 + 2*g1^8*t^7.333 + 2*g1^17*t^7.333 + 2*g1^26*t^7.333 + t^8./g1^33 + (2*t^8.)/g1^15 + (2*t^8.)/g1^6 + 4*g1^3*t^8. + 4*g1^12*t^8. + 2*g1^21*t^8. + t^8.667/g1^29 + (2*t^8.667)/g1^20 - t^8.667/g1^11 - 5*g1^7*t^8.667 + 2*g1^16*t^8.667 + 2*g1^25*t^8.667 - t^4.333/(g1*y) - t^7./(g1^12*y) - (g1^6*t^7.)/y + t^7.667/(g1^8*y) + (g1^10*t^7.667)/y + t^8.333/(g1^13*y) + (2*t^8.333)/(g1^4*y) + (2*g1^5*t^8.333)/y + (g1^14*t^8.333)/y - (t^4.333*y)/g1 - (t^7.*y)/g1^12 - g1^6*t^7.*y + (t^7.667*y)/g1^8 + g1^10*t^7.667*y + (t^8.333*y)/g1^13 + (2*t^8.333*y)/g1^4 + 2*g1^5*t^8.333*y + g1^14*t^8.333*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 |
|---|---|---|---|---|---|---|---|---|
| 2567 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ | 0.6559 | 0.8087 | 0.8111 | [X:[1.3379], M:[1.1126, 0.6621, 0.8805, 0.8942, 1.1058, 0.8942, 0.8874], q:[0.5563, 0.331], qb:[0.5632, 0.7747], phi:[0.4437]] | t^2.641 + 2*t^2.662 + 2*t^2.683 + t^3.317 + 2*t^3.993 + 2*t^4.014 + t^4.648 + t^4.69 + t^4.71 + t^5.283 + t^5.304 + 5*t^5.324 + 4*t^5.345 + 2*t^5.365 + t^5.959 + 2*t^5.979 - 3*t^6. - t^4.331/y - t^4.331*y | detail | |
| 2564 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ | 0.6366 | 0.7762 | 0.8202 | [X:[1.3502], M:[1.1167, 0.6498, 0.8579, 0.9086, 1.0914, 0.9086, 1.0914], q:[0.5584, 0.3249], qb:[0.5837, 0.7665], phi:[0.4416]] | t^2.574 + t^2.65 + t^2.726 + 2*t^3.274 + t^3.35 + 2*t^3.975 + 2*t^4.051 + t^4.599 + t^4.751 + t^4.827 + t^5.148 + 2*t^5.3 + t^5.376 + 2*t^5.848 + 3*t^5.924 - 2*t^6. - t^4.325/y - t^4.325*y | detail | |
| 2570 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ | 0.6566 | 0.811 | 0.8097 | [X:[1.3181], M:[1.106, 0.6819, 0.9169, 0.8711, 1.1289, 0.8711, 0.8711], q:[0.553, 0.341], qb:[0.5301, 0.7879], phi:[0.447]] | 3*t^2.613 + t^2.682 + t^2.751 + t^3.318 + 2*t^3.954 + 2*t^4.023 + t^4.522 + t^4.59 + t^4.728 + 5*t^5.227 + 3*t^5.295 + 4*t^5.364 + t^5.501 + 2*t^5.931 - 4*t^6. - t^4.341/y - t^4.341*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 |
|---|---|---|---|---|---|---|---|---|---|
| 955 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7303 | 0.9135 | 0.7995 | [M:[1.0484, 0.8548, 0.8753, 1.0279, 0.9721, 0.6693], q:[0.5242, 0.4274], qb:[0.6005, 0.5446], phi:[0.4758]] | t^2.008 + t^2.565 + t^2.626 + t^2.855 + t^2.916 + t^3.084 + t^3.145 + t^3.206 + t^4.016 + t^4.282 + t^4.344 + t^4.511 + 2*t^4.573 + 2*t^4.634 + t^4.695 + t^4.802 + 2*t^4.863 + t^4.924 + t^5.031 + t^5.092 + t^5.129 + t^5.153 + t^5.19 + t^5.215 + t^5.252 + t^5.419 + t^5.481 + t^5.542 + 2*t^5.71 + 2*t^5.771 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |