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 |
|---|---|---|---|---|---|---|---|---|---|
| 55342 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6683 | 0.8337 | 0.8015 | [M:[0.9209, 1.1367, 1.0983, 0.8633, 0.8825, 0.7051], q:[0.5204, 0.5588], qb:[0.3429, 0.7746], phi:[0.4508]] | [M:[[-10], [-8], [4], [8], [2], [-12]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{5}$ | ${}$ | -1 | t^2.115 + t^2.59 + t^2.647 + t^2.705 + t^2.763 + t^3.295 + t^3.41 + t^3.942 + t^4. + t^4.058 + t^4.23 + t^4.475 + t^4.59 + 2*t^4.705 + t^4.763 + t^4.82 + t^4.878 + t^5.18 + t^5.237 + 2*t^5.295 + t^5.353 + 3*t^5.41 + 2*t^5.525 + t^5.942 - t^6. + 2*t^6.058 + t^6.115 + 2*t^6.173 + t^6.346 + 2*t^6.59 + 2*t^6.705 + t^6.763 + 3*t^6.82 + t^6.878 + t^6.935 + t^6.993 + t^7.065 + t^7.122 + t^7.18 + t^7.237 + t^7.295 + 2*t^7.353 + 3*t^7.41 + 2*t^7.468 + 3*t^7.525 + 2*t^7.64 + t^7.77 + 2*t^7.885 + t^7.942 + 2*t^8. + 2*t^8.058 + t^8.115 + 3*t^8.173 + t^8.23 + 3*t^8.288 + t^8.417 + t^8.461 - t^8.59 - 2*t^8.647 + 2*t^8.705 - 2*t^8.763 + 3*t^8.82 + t^8.878 + 4*t^8.935 + t^8.949 + t^8.993 - t^4.353/y - t^6.468/y - t^7./y - t^7.115/y + t^7.59/y + (2*t^7.705)/y + t^7.763/y + t^7.82/y + t^7.878/y + (2*t^8.237)/y + t^8.295/y + (2*t^8.353)/y + (2*t^8.41)/y + t^8.468/y + t^8.525/y - t^8.583/y + t^8.885/y + t^8.942/y - t^4.353*y - t^6.468*y - t^7.*y - t^7.115*y + t^7.59*y + 2*t^7.705*y + t^7.763*y + t^7.82*y + t^7.878*y + 2*t^8.237*y + t^8.295*y + 2*t^8.353*y + 2*t^8.41*y + t^8.468*y + t^8.525*y - t^8.583*y + t^8.885*y + t^8.942*y | t^2.115/g1^12 + g1^8*t^2.59 + g1^2*t^2.647 + t^2.705/g1^4 + t^2.763/g1^10 + g1^4*t^3.295 + t^3.41/g1^8 + g1^6*t^3.942 + t^4. + t^4.058/g1^6 + t^4.23/g1^24 + g1^20*t^4.475 + g1^8*t^4.59 + (2*t^4.705)/g1^4 + t^4.763/g1^10 + t^4.82/g1^16 + t^4.878/g1^22 + g1^16*t^5.18 + g1^10*t^5.237 + 2*g1^4*t^5.295 + t^5.353/g1^2 + (3*t^5.41)/g1^8 + (2*t^5.525)/g1^20 + g1^6*t^5.942 - t^6. + (2*t^6.058)/g1^6 + t^6.115/g1^12 + (2*t^6.173)/g1^18 + t^6.346/g1^36 + 2*g1^8*t^6.59 + (2*t^6.705)/g1^4 + t^6.763/g1^10 + (3*t^6.82)/g1^16 + t^6.878/g1^22 + t^6.935/g1^28 + t^6.993/g1^34 + g1^28*t^7.065 + g1^22*t^7.122 + g1^16*t^7.18 + g1^10*t^7.237 + g1^4*t^7.295 + (2*t^7.353)/g1^2 + (3*t^7.41)/g1^8 + (2*t^7.468)/g1^14 + (3*t^7.525)/g1^20 + (2*t^7.64)/g1^32 + g1^24*t^7.77 + 2*g1^12*t^7.885 + g1^6*t^7.942 + 2*t^8. + (2*t^8.058)/g1^6 + t^8.115/g1^12 + (3*t^8.173)/g1^18 + t^8.23/g1^24 + (3*t^8.288)/g1^30 + g1^26*t^8.417 + t^8.461/g1^48 - g1^8*t^8.59 - 2*g1^2*t^8.647 + (2*t^8.705)/g1^4 - (2*t^8.763)/g1^10 + (3*t^8.82)/g1^16 + t^8.878/g1^22 + (4*t^8.935)/g1^28 + g1^40*t^8.949 + t^8.993/g1^34 - t^4.353/(g1^2*y) - t^6.468/(g1^14*y) - t^7./y - t^7.115/(g1^12*y) + (g1^8*t^7.59)/y + (2*t^7.705)/(g1^4*y) + t^7.763/(g1^10*y) + t^7.82/(g1^16*y) + t^7.878/(g1^22*y) + (2*g1^10*t^8.237)/y + (g1^4*t^8.295)/y + (2*t^8.353)/(g1^2*y) + (2*t^8.41)/(g1^8*y) + t^8.468/(g1^14*y) + t^8.525/(g1^20*y) - t^8.583/(g1^26*y) + (g1^12*t^8.885)/y + (g1^6*t^8.942)/y - (t^4.353*y)/g1^2 - (t^6.468*y)/g1^14 - t^7.*y - (t^7.115*y)/g1^12 + g1^8*t^7.59*y + (2*t^7.705*y)/g1^4 + (t^7.763*y)/g1^10 + (t^7.82*y)/g1^16 + (t^7.878*y)/g1^22 + 2*g1^10*t^8.237*y + g1^4*t^8.295*y + (2*t^8.353*y)/g1^2 + (2*t^8.41*y)/g1^8 + (t^8.468*y)/g1^14 + (t^8.525*y)/g1^20 - (t^8.583*y)/g1^26 + g1^12*t^8.885*y + g1^6*t^8.942*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 |
|---|---|---|---|---|---|---|---|---|
| 56972 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6232 | 0.7823 | 0.7966 | [M:[1.0909, 1.2727, 1.0303, 0.7273, 0.8485, 0.9091], q:[0.3333, 0.5758], qb:[0.3939, 0.7576], phi:[0.4848]] | t^2.182 + t^2.545 + t^2.727 + t^2.909 + t^3.091 + t^3.273 + t^3.455 + t^3.636 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.727 + 2*t^4.909 + 2*t^5.091 + t^5.273 + 2*t^5.455 + 3*t^5.636 + 3*t^5.818 + t^6. - t^4.455/y - t^4.455*y | detail | {a: 1659/2662, c: 4165/5324, M1: 12/11, M2: 14/11, M3: 34/33, M4: 8/11, M5: 28/33, M6: 10/11, q1: 1/3, q2: 19/33, qb1: 13/33, qb2: 25/33, phi1: 16/33} |
| 56973 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.689 | 0.8742 | 0.7881 | [M:[0.919, 1.1352, 1.0991, 0.8648, 0.8829, 0.7028, 0.6847], q:[0.5224, 0.5586], qb:[0.3424, 0.7748], phi:[0.4505]] | t^2.054 + t^2.108 + t^2.594 + t^2.649 + t^2.703 + t^2.757 + t^3.297 + t^3.406 + t^4. + t^4.054 + t^4.108 + t^4.163 + t^4.217 + t^4.486 + t^4.594 + t^4.649 + 3*t^4.703 + 2*t^4.757 + 2*t^4.811 + t^4.865 + t^5.189 + t^5.243 + 2*t^5.297 + 2*t^5.351 + 3*t^5.406 + t^5.46 + 2*t^5.514 + t^5.946 - t^6. - t^4.351/y - t^4.351*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46963 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.648 | 0.7954 | 0.8147 | [M:[0.931, 1.1448, 1.0943, 0.8552, 0.8805], q:[0.5093, 0.5598], qb:[0.346, 0.7736], phi:[0.4529]] | t^2.566 + t^2.641 + t^2.717 + t^2.793 + t^3.283 + t^3.434 + t^3.849 + t^3.924 + t^4. + t^4.076 + t^4.414 + t^4.566 + t^4.717 + t^5.131 + t^5.207 + 2*t^5.283 + t^5.359 + 2*t^5.434 + t^5.586 + t^5.924 - t^6. - t^4.359/y - t^4.359*y | detail |