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 |
|---|---|---|---|---|---|---|---|---|---|
| 52636 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.7015 | 0.8773 | 0.7996 | [M:[0.9436, 1.0088, 1.1217, 0.7478, 0.8131, 0.7478], q:[0.5847, 0.4718], qb:[0.4065, 0.7804], phi:[0.4392]] | [M:[[-22], [-32], [12], [8], [-2], [8]], q:[[33], [-11]], qb:[[-1], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$ | ${}$ | -2 | 2*t^2.243 + t^2.439 + t^2.635 + t^2.831 + t^3.026 + t^3.365 + t^3.952 + t^4.095 + t^4.148 + t^4.291 + 4*t^4.487 + 2*t^4.683 + t^4.825 + 3*t^4.878 + 3*t^5.074 + 4*t^5.27 + t^5.466 + 2*t^5.608 + t^5.661 + t^5.857 - 2*t^6. + t^6.053 + t^6.196 + t^6.339 + 3*t^6.392 + 2*t^6.534 + t^6.587 + 7*t^6.73 + t^6.783 + 4*t^6.926 + t^6.979 + 2*t^7.069 + 4*t^7.122 + t^7.175 + t^7.265 + 6*t^7.317 + t^7.46 + 7*t^7.513 + 3*t^7.709 + 2*t^7.852 + 4*t^7.905 - t^8.048 + 4*t^8.1 + t^8.191 - 5*t^8.243 + 4*t^8.296 - 2*t^8.439 + 2*t^8.492 + t^8.582 + 2*t^8.635 + t^8.688 + 2*t^8.778 - 2*t^8.831 + t^8.883 + t^8.921 + 10*t^8.974 - t^4.317/y - (2*t^6.561)/y - t^6.757/y - t^7.148/y + t^7.291/y - t^7.344/y + (2*t^7.487)/y + (2*t^7.683)/y + (3*t^7.878)/y + (5*t^8.074)/y + (3*t^8.27)/y + (2*t^8.466)/y + (2*t^8.608)/y + t^8.661/y - (2*t^8.804)/y + t^8.857/y - t^4.317*y - 2*t^6.561*y - t^6.757*y - t^7.148*y + t^7.291*y - t^7.344*y + 2*t^7.487*y + 2*t^7.683*y + 3*t^7.878*y + 5*t^8.074*y + 3*t^8.27*y + 2*t^8.466*y + 2*t^8.608*y + t^8.661*y - 2*t^8.804*y + t^8.857*y | 2*g1^8*t^2.243 + t^2.439/g1^2 + t^2.635/g1^12 + t^2.831/g1^22 + t^3.026/g1^32 + g1^12*t^3.365 + t^3.952/g1^18 + g1^36*t^4.095 + t^4.148/g1^28 + g1^26*t^4.291 + 4*g1^16*t^4.487 + 2*g1^6*t^4.683 + g1^60*t^4.825 + (3*t^4.878)/g1^4 + (3*t^5.074)/g1^14 + (4*t^5.27)/g1^24 + t^5.466/g1^34 + 2*g1^20*t^5.608 + t^5.661/g1^44 + t^5.857/g1^54 - 2*t^6. + t^6.053/g1^64 + t^6.196/g1^10 + g1^44*t^6.339 + (3*t^6.392)/g1^20 + 2*g1^34*t^6.534 + t^6.587/g1^30 + 7*g1^24*t^6.73 + t^6.783/g1^40 + 4*g1^14*t^6.926 + t^6.979/g1^50 + 2*g1^68*t^7.069 + 4*g1^4*t^7.122 + t^7.175/g1^60 + g1^58*t^7.265 + (6*t^7.317)/g1^6 + g1^48*t^7.46 + (7*t^7.513)/g1^16 + (3*t^7.709)/g1^26 + 2*g1^28*t^7.852 + (4*t^7.905)/g1^36 - g1^18*t^8.048 + (4*t^8.1)/g1^46 + g1^72*t^8.191 - 5*g1^8*t^8.243 + (4*t^8.296)/g1^56 - (2*t^8.439)/g1^2 + (2*t^8.492)/g1^66 + g1^52*t^8.582 + (2*t^8.635)/g1^12 + t^8.688/g1^76 + 2*g1^42*t^8.778 - (2*t^8.831)/g1^22 + t^8.883/g1^86 + g1^96*t^8.921 + 10*g1^32*t^8.974 - t^4.317/(g1^6*y) - (2*g1^2*t^6.561)/y - t^6.757/(g1^8*y) - t^7.148/(g1^28*y) + (g1^26*t^7.291)/y - t^7.344/(g1^38*y) + (2*g1^16*t^7.487)/y + (2*g1^6*t^7.683)/y + (3*t^7.878)/(g1^4*y) + (5*t^8.074)/(g1^14*y) + (3*t^8.27)/(g1^24*y) + (2*t^8.466)/(g1^34*y) + (2*g1^20*t^8.608)/y + t^8.661/(g1^44*y) - (2*g1^10*t^8.804)/y + t^8.857/(g1^54*y) - (t^4.317*y)/g1^6 - 2*g1^2*t^6.561*y - (t^6.757*y)/g1^8 - (t^7.148*y)/g1^28 + g1^26*t^7.291*y - (t^7.344*y)/g1^38 + 2*g1^16*t^7.487*y + 2*g1^6*t^7.683*y + (3*t^7.878*y)/g1^4 + (5*t^8.074*y)/g1^14 + (3*t^8.27*y)/g1^24 + (2*t^8.466*y)/g1^34 + 2*g1^20*t^8.608*y + (t^8.661*y)/g1^44 - 2*g1^10*t^8.804*y + (t^8.857*y)/g1^54 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56432 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 0.7007 | 0.8767 | 0.7993 | [M:[0.963, 1.037, 1.1111, 0.7407, 0.8148, 0.7407], q:[0.5556, 0.4815], qb:[0.4074, 0.7778], phi:[0.4444]] | 2*t^2.222 + t^2.444 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + 2*t^4. + 2*t^4.222 + 4*t^4.444 + 3*t^4.667 + 3*t^4.889 + 3*t^5.111 + 4*t^5.333 + 3*t^5.556 + t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 3065/4374, c: 7669/8748, M1: 26/27, M2: 28/27, M3: 10/9, M4: 20/27, M5: 22/27, M6: 20/27, q1: 5/9, q2: 13/27, qb1: 11/27, qb2: 7/9, phi1: 4/9} |
| 56433 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.6973 | 0.8712 | 0.8004 | [M:[0.9668, 1.0426, 1.109, 0.7394, 0.8152, 0.7394, 1.0332], q:[0.5498, 0.4834], qb:[0.4076, 0.7773], phi:[0.4455]] | 2*t^2.218 + t^2.445 + t^2.673 + t^3.1 + t^3.128 + t^3.327 + t^3.981 + t^4.009 + t^4.209 + t^4.237 + 4*t^4.436 + t^4.636 + 2*t^4.664 + 3*t^4.891 + t^5.118 + 2*t^5.318 + 3*t^5.346 + 3*t^5.545 + t^5.773 - 2*t^6. - t^4.336/y - t^4.336*y | detail | |
| 56434 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.7046 | 0.8841 | 0.7969 | [M:[0.9765, 1.0567, 1.1037, 0.7358, 0.816, 0.7358, 0.9433], q:[0.5353, 0.4882], qb:[0.408, 0.7759], phi:[0.4481]] | 2*t^2.207 + t^2.448 + t^2.689 + t^2.83 + t^2.929 + t^3.311 + t^3.934 + t^4.033 + t^4.174 + t^4.274 + 4*t^4.415 + t^4.556 + 2*t^4.656 + 3*t^4.896 + 2*t^5.037 + 3*t^5.137 + t^5.278 + 2*t^5.378 + 3*t^5.519 + t^5.66 + t^5.759 - 2*t^6. - t^4.344/y - t^4.344*y | detail | |
| 56435 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.7222 | 0.918 | 0.7868 | [M:[0.9452, 1.0112, 1.1208, 0.7472, 0.8132, 0.7472, 0.6812], q:[0.5822, 0.4726], qb:[0.4066, 0.7802], phi:[0.4396]] | t^2.044 + 2*t^2.242 + t^2.44 + t^2.638 + t^2.836 + t^3.034 + t^3.362 + 2*t^4.087 + t^4.154 + 3*t^4.285 + 5*t^4.483 + 3*t^4.681 + t^4.812 + 4*t^4.879 + 4*t^5.077 + 4*t^5.275 + t^5.406 + t^5.473 + 2*t^5.604 + t^5.671 + t^5.869 - 2*t^6. - t^4.319/y - t^4.319*y | detail | {a: 154491721/213903408, c: 98181703/106951704, M1: 5986/6333, M2: 6404/6333, M3: 2366/2111, M4: 4732/6333, M5: 5150/6333, M6: 4732/6333, M7: 1438/2111, q1: 1229/2111, q2: 2993/6333, qb1: 2575/6333, qb2: 1647/2111, phi1: 928/2111} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48185 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6824 | 0.8425 | 0.8099 | [M:[0.9398, 1.0033, 1.1237, 0.7492, 0.8127], q:[0.5903, 0.4699], qb:[0.4064, 0.7809], phi:[0.4381]] | t^2.247 + t^2.438 + t^2.629 + t^2.819 + t^3.01 + t^3.371 + t^3.753 + t^3.943 + t^4.114 + t^4.134 + t^4.304 + 2*t^4.495 + t^4.686 + t^4.856 + 2*t^4.876 + 2*t^5.067 + 3*t^5.258 + t^5.448 + t^5.619 + t^5.639 + t^5.829 - t^6. - t^4.314/y - t^4.314*y | detail |