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 |
|---|---|---|---|---|---|---|---|---|---|
| 48278 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6779 | 0.8345 | 0.8124 | [M:[0.9891, 0.93, 1.1291, 0.8709, 0.7527], q:[0.605, 0.4059], qb:[0.465, 0.7823], phi:[0.4355]] | [M:[[-32], [-22], [12], [-12], [8]], q:[[33], [-1]], qb:[[-11], [3]], phi:[[-6]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.258 + 2*t^2.613 + t^2.79 + t^2.967 + t^3.565 + t^3.742 + t^3.919 + t^4.096 + t^4.162 + t^4.339 + 2*t^4.516 + 2*t^4.871 + t^4.936 + t^5.048 + 4*t^5.226 + t^5.403 + 2*t^5.58 + t^5.757 + t^5.935 - 2*t^6. + t^6.177 + 3*t^6.355 + 3*t^6.532 + 3*t^6.709 + 2*t^6.774 + t^6.887 + t^6.952 + t^7.064 + 3*t^7.129 + t^7.194 + t^7.306 + 4*t^7.484 + t^7.549 + 2*t^7.661 + 7*t^7.838 + 3*t^8.016 + t^8.081 + 4*t^8.193 - 2*t^8.258 + 2*t^8.37 - t^8.435 + t^8.501 + 2*t^8.548 - 3*t^8.613 + t^8.678 + t^8.725 - t^8.79 + t^8.902 + t^8.967 - t^4.306/y - t^6.565/y - t^6.919/y - t^7.096/y - t^7.274/y + t^7.339/y + t^7.516/y + t^7.694/y + (2*t^7.871)/y + (2*t^8.048)/y + (2*t^8.226)/y + (2*t^8.403)/y + (2*t^8.58)/y + t^8.757/y - t^4.306*y - t^6.565*y - t^6.919*y - t^7.096*y - t^7.274*y + t^7.339*y + t^7.516*y + t^7.694*y + 2*t^7.871*y + 2*t^8.048*y + 2*t^8.226*y + 2*t^8.403*y + 2*t^8.58*y + t^8.757*y | g1^8*t^2.258 + (2*t^2.613)/g1^12 + t^2.79/g1^22 + t^2.967/g1^32 + g1^2*t^3.565 + t^3.742/g1^8 + t^3.919/g1^18 + t^4.096/g1^28 + g1^36*t^4.162 + g1^26*t^4.339 + 2*g1^16*t^4.516 + (2*t^4.871)/g1^4 + g1^60*t^4.936 + t^5.048/g1^14 + (4*t^5.226)/g1^24 + t^5.403/g1^34 + (2*t^5.58)/g1^44 + t^5.757/g1^54 + t^5.935/g1^64 - 2*t^6. + t^6.177/g1^10 + (3*t^6.355)/g1^20 + (3*t^6.532)/g1^30 + (3*t^6.709)/g1^40 + 2*g1^24*t^6.774 + t^6.887/g1^50 + g1^14*t^6.952 + t^7.064/g1^60 + 3*g1^4*t^7.129 + g1^68*t^7.194 + t^7.306/g1^6 + (4*t^7.484)/g1^16 + g1^48*t^7.549 + (2*t^7.661)/g1^26 + (7*t^7.838)/g1^36 + (3*t^8.016)/g1^46 + g1^18*t^8.081 + (4*t^8.193)/g1^56 - 2*g1^8*t^8.258 + (2*t^8.37)/g1^66 - t^8.435/g1^2 + g1^62*t^8.501 + (2*t^8.548)/g1^76 - (3*t^8.613)/g1^12 + g1^52*t^8.678 + t^8.725/g1^86 - t^8.79/g1^22 + t^8.902/g1^96 + t^8.967/g1^32 - t^4.306/(g1^6*y) - (g1^2*t^6.565)/y - t^6.919/(g1^18*y) - t^7.096/(g1^28*y) - t^7.274/(g1^38*y) + (g1^26*t^7.339)/y + (g1^16*t^7.516)/y + (g1^6*t^7.694)/y + (2*t^7.871)/(g1^4*y) + (2*t^8.048)/(g1^14*y) + (2*t^8.226)/(g1^24*y) + (2*t^8.403)/(g1^34*y) + (2*t^8.58)/(g1^44*y) + t^8.757/(g1^54*y) - (t^4.306*y)/g1^6 - g1^2*t^6.565*y - (t^6.919*y)/g1^18 - (t^7.096*y)/g1^28 - (t^7.274*y)/g1^38 + g1^26*t^7.339*y + g1^16*t^7.516*y + g1^6*t^7.694*y + (2*t^7.871*y)/g1^4 + (2*t^8.048*y)/g1^14 + (2*t^8.226*y)/g1^24 + (2*t^8.403*y)/g1^34 + (2*t^8.58*y)/g1^44 + (t^8.757*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 |
|---|---|---|---|---|---|---|---|---|
| 51977 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 0.6758 | 0.8309 | 0.8133 | [M:[1.037, 0.963, 1.1111, 0.8889, 0.7407], q:[0.5556, 0.4074], qb:[0.4815, 0.7778], phi:[0.4444]] | t^2.222 + 2*t^2.667 + t^2.889 + t^3.111 + t^3.556 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + t^4.667 + 2*t^4.889 + t^5.111 + 4*t^5.333 + t^5.556 + 2*t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 23647/34992, c: 14537/17496, M1: 28/27, M2: 26/27, M3: 10/9, M4: 8/9, M5: 20/27, q1: 5/9, q2: 11/27, qb1: 13/27, qb2: 7/9, phi1: 4/9} |
| 54922 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6986 | 0.8743 | 0.799 | [M:[0.9932, 0.9328, 1.1276, 0.8724, 0.7517, 0.6913], q:[0.6008, 0.406], qb:[0.4664, 0.7819], phi:[0.4362]] | t^2.074 + t^2.255 + 2*t^2.617 + t^2.798 + t^2.98 + t^3.564 + t^3.745 + t^4.107 + 2*t^4.148 + 2*t^4.329 + 2*t^4.51 + 2*t^4.691 + 3*t^4.872 + t^4.913 + 2*t^5.054 + 4*t^5.235 + t^5.416 + 2*t^5.597 + t^5.638 + t^5.778 + t^5.819 + t^5.959 - 2*t^6. - t^4.309/y - t^4.309*y | detail | |
| 55985 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6969 | 0.8688 | 0.8021 | [M:[0.9948, 0.9339, 1.127, 0.873, 0.7513, 0.7513], q:[0.5992, 0.4061], qb:[0.4669, 0.7817], phi:[0.4365]] | 2*t^2.254 + 2*t^2.619 + t^2.802 + t^2.984 + t^3.563 + t^3.929 + t^4.111 + t^4.143 + t^4.325 + 4*t^4.508 + 4*t^4.873 + t^4.904 + 2*t^5.056 + 5*t^5.238 + t^5.421 + 2*t^5.603 + t^5.786 + t^5.817 + t^5.969 - 3*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46352 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6815 | 0.8422 | 0.8091 | [M:[0.9604, 0.9689, 1.1268, 0.8732, 0.6818], q:[0.5988, 0.4408], qb:[0.4324, 0.7817], phi:[0.4366]] | t^2.045 + 2*t^2.62 + t^2.881 + t^2.907 + t^3.642 + t^3.668 + t^3.904 + t^3.929 + t^4.091 + t^4.141 + t^4.403 + t^4.429 + 2*t^4.665 + t^4.902 + t^4.927 + t^4.952 + 3*t^5.239 + t^5.501 + t^5.526 + t^5.687 + t^5.713 + t^5.763 + t^5.788 + t^5.813 + t^5.949 - 3*t^6. - t^4.31/y - t^4.31*y | detail |