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 |
|---|---|---|---|---|---|---|---|---|---|
| 47286 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ | 0.6995 | 0.856 | 0.8172 | [M:[1.0123, 0.8913, 0.9877, 1.0302, 1.0482, 0.9518], q:[0.5241, 0.4636], qb:[0.5846, 0.4881], phi:[0.4849]] | [M:[[4, 12], [-20, 4], [-4, -12], [6, 2], [8, -8], [-8, 8]], q:[[4, -4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-3, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$ | ${}$ | -2 | t^2.674 + t^2.855 + t^2.963 + t^3.037 + t^3.091 + t^3.145 + t^3.218 + t^4.236 + t^4.31 + t^4.383 + t^4.418 + t^4.491 + 2*t^4.599 + t^4.673 + t^4.781 + t^4.962 + t^5.348 + t^5.529 + t^5.711 + t^5.765 + t^5.892 + t^5.946 - 2*t^6. + t^6.054 + t^6.074 + t^6.128 + t^6.235 + t^6.255 + t^6.309 + t^6.436 + t^6.91 + t^6.984 + t^7.057 + t^7.092 + t^7.165 + t^7.2 + t^7.239 + 2*t^7.273 + 2*t^7.347 + t^7.381 + t^7.42 + 2*t^7.455 + 2*t^7.528 + t^7.563 + t^7.602 + 2*t^7.636 + t^7.71 + t^7.744 + 2*t^7.818 + t^7.891 + t^7.926 + t^7.999 + t^8.021 + t^8.107 + t^8.181 + t^8.203 + t^8.384 + t^8.438 + t^8.473 + t^8.546 + t^8.566 - t^8.6 + 2*t^8.62 + t^8.654 - 3*t^8.674 + t^8.693 + t^8.728 + t^8.767 - 2*t^8.782 + 2*t^8.801 + 2*t^8.836 - 4*t^8.855 + t^8.875 + 2*t^8.909 - 4*t^8.963 + 3*t^8.983 - t^4.455/y - t^7.128/y + t^7.781/y + t^8.529/y + t^8.637/y + t^8.711/y + t^8.765/y + (2*t^8.819)/y + (2*t^8.892)/y + t^8.946/y - t^4.455*y - t^7.128*y + t^7.781*y + t^8.529*y + t^8.637*y + t^8.711*y + t^8.765*y + 2*t^8.819*y + 2*t^8.892*y + t^8.946*y | (g2^4*t^2.674)/g1^20 + (g2^8*t^2.855)/g1^8 + t^2.963/(g1^4*g2^12) + g1^4*g2^12*t^3.037 + g1^6*g2^2*t^3.091 + (g1^8*t^3.145)/g2^8 + g1^16*g2^16*t^3.218 + t^4.236/(g1^19*g2^17) + (g2^7*t^4.31)/g1^11 + (g2^31*t^4.383)/g1^3 + t^4.418/(g1^7*g2^13) + g1*g2^11*t^4.491 + (2*g1^5*t^4.599)/g2^9 + g1^13*g2^15*t^4.673 + (g1^17*t^4.781)/g2^5 + (g1^29*t^4.962)/g2 + (g2^8*t^5.348)/g1^40 + (g2^12*t^5.529)/g1^28 + (g2^16*t^5.711)/g1^16 + (g2^6*t^5.765)/g1^14 + (g2^20*t^5.892)/g1^4 + (g2^10*t^5.946)/g1^2 - 2*t^6. + (g1^2*t^6.054)/g2^10 + g1^8*g2^24*t^6.074 + g1^10*g2^14*t^6.128 + (g1^14*t^6.235)/g2^6 + g1^20*g2^28*t^6.255 + g1^22*g2^18*t^6.309 + g1^32*g2^32*t^6.436 + t^6.91/(g1^39*g2^13) + (g2^11*t^6.984)/g1^31 + (g2^35*t^7.057)/g1^23 + t^7.092/(g1^27*g2^9) + (g2^15*t^7.165)/g1^19 + t^7.2/(g1^23*g2^29) + (g2^39*t^7.239)/g1^11 + (2*t^7.273)/(g1^15*g2^5) + (2*g2^19*t^7.347)/g1^7 + t^7.381/(g1^11*g2^25) + g1*g2^43*t^7.42 + (2*t^7.455)/(g1^3*g2) + 2*g1^5*g2^23*t^7.528 + (g1*t^7.563)/g2^21 + g1^13*g2^47*t^7.602 + 2*g1^9*g2^3*t^7.636 + g1^17*g2^27*t^7.71 + (g1^13*t^7.744)/g2^17 + 2*g1^21*g2^7*t^7.818 + g1^29*g2^31*t^7.891 + (g1^25*t^7.926)/g2^13 + g1^33*g2^11*t^7.999 + (g2^12*t^8.021)/g1^60 + (g1^37*t^8.107)/g2^9 + g1^45*g2^15*t^8.181 + (g2^16*t^8.203)/g1^48 + (g2^20*t^8.384)/g1^36 + (g2^10*t^8.438)/g1^34 + t^8.473/(g1^38*g2^34) + t^8.546/(g1^30*g2^10) + (g2^24*t^8.566)/g1^24 - t^8.6/(g1^28*g2^20) + (2*g2^14*t^8.62)/g1^22 + t^8.654/(g1^26*g2^30) - (3*g2^4*t^8.674)/g1^20 + (g2^38*t^8.693)/g1^14 + t^8.728/(g1^18*g2^6) + (g2^62*t^8.767)/g1^6 - (2*t^8.782)/(g1^16*g2^16) + (2*g2^18*t^8.801)/g1^10 + (2*t^8.836)/(g1^14*g2^26) - (4*g2^8*t^8.855)/g1^8 + (g2^42*t^8.875)/g1^2 + (2*t^8.909)/(g1^6*g2^2) - (4*t^8.963)/(g1^4*g2^12) + 3*g1^2*g2^22*t^8.983 - t^4.455/(g1^3*g2*y) - (g2^3*t^7.128)/(g1^23*y) + (g1^17*t^7.781)/(g2^5*y) + (g2^12*t^8.529)/(g1^28*y) + t^8.637/(g1^24*g2^8*y) + (g2^16*t^8.711)/(g1^16*y) + (g2^6*t^8.765)/(g1^14*y) + (2*t^8.819)/(g1^12*g2^4*y) + (2*g2^20*t^8.892)/(g1^4*y) + (g2^10*t^8.946)/(g1^2*y) - (t^4.455*y)/(g1^3*g2) - (g2^3*t^7.128*y)/g1^23 + (g1^17*t^7.781*y)/g2^5 + (g2^12*t^8.529*y)/g1^28 + (t^8.637*y)/(g1^24*g2^8) + (g2^16*t^8.711*y)/g1^16 + (g2^6*t^8.765*y)/g1^14 + (2*t^8.819*y)/(g1^12*g2^4) + (2*g2^20*t^8.892*y)/g1^4 + (g2^10*t^8.946*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55589 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ | 0.7018 | 0.8592 | 0.8168 | [M:[1.0361, 0.8916, 0.9639, 1.0361, 1.0361, 0.9639, 0.9639], q:[0.5181, 0.4458], qb:[0.5903, 0.5181], phi:[0.4819]] | t^2.675 + 3*t^2.892 + 2*t^3.108 + t^3.325 + t^4.121 + 2*t^4.337 + 4*t^4.554 + 2*t^4.771 + t^4.988 + t^5.35 + 2*t^5.566 + 4*t^5.783 + t^6. - t^4.446/y - t^4.446*y | detail | |
| 52728 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}^{2}$ | 0.6917 | 0.8473 | 0.8164 | [M:[1.0131, 1.0, 0.9869, 1.0033, 0.9935, 1.0065], q:[0.4967, 0.4902], qb:[0.5033, 0.5164], phi:[0.4984]] | t^2.961 + t^2.98 + t^3. + t^3.01 + t^3.02 + t^3.039 + t^3.059 + t^4.436 + t^4.456 + 2*t^4.475 + t^4.495 + 2*t^4.515 + t^4.534 + t^4.554 + t^4.593 + t^5.971 + t^5.99 - t^6. - t^4.495/y - t^4.495*y | detail | |
| 55616 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ | 0.705 | 0.8667 | 0.8134 | [M:[1.0012, 0.858, 0.9988, 1.0358, 1.0704, 0.9296, 0.9296], q:[0.5352, 0.4636], qb:[0.6068, 0.466], phi:[0.4821]] | t^2.574 + 2*t^2.789 + t^2.996 + t^3.004 + t^3.107 + t^3.218 + t^4.228 + t^4.235 + t^4.242 + t^4.443 + t^4.45 + 2*t^4.658 + t^4.665 + t^4.872 + t^5.087 + t^5.148 + 2*t^5.363 + 3*t^5.578 + t^5.681 + 2*t^5.792 + 2*t^5.896 - 3*t^6. - t^4.446/y - t^4.446*y | detail | |
| 55456 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}X_{1}$ | 0.5502 | 0.6745 | 0.8157 | [X:[1.5729], M:[1.0105, 0.4271, 0.9895, 1.1459, 1.2812, 0.7188], q:[0.6406, 0.3489], qb:[0.9323, 0.3699], phi:[0.4271]] | t^2.156 + t^2.968 + t^3.032 + t^3.374 + 2*t^3.438 + t^3.501 + t^3.844 + t^3.907 + t^4.313 + t^4.719 + t^5.125 + t^5.188 + t^5.594 + t^5.657 - t^6. - t^4.281/y - t^4.281*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46410 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9817, 0.896, 1.0183, 1.0959, 0.9121, 0.7898], q:[0.4561, 0.5623], qb:[0.648, 0.5256], phi:[0.452]] | t^2.369 + t^2.688 + t^2.736 + t^2.945 + t^3.055 + t^3.288 + t^3.521 + t^4.093 + t^4.301 + t^4.411 + t^4.51 + t^4.62 + t^4.668 + t^4.73 + t^4.739 + t^4.877 + t^4.987 + t^5.057 + t^5.106 + t^5.244 + t^5.314 + t^5.376 + t^5.424 + t^5.473 + t^5.657 + t^5.89 + t^5.976 - 3*t^6. - t^4.356/y - t^4.356*y | detail |