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 |
|---|---|---|---|---|---|---|---|---|---|
| 2624 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6537 | 0.8118 | 0.8053 | [M:[1.0604, 0.8224, 1.0586, 0.8242, 1.1758, 0.7051, 1.1776], q:[0.5284, 0.4112], qb:[0.413, 0.7647], phi:[0.4707]] | [M:[[-30], [22], [4], [-12], [12], [14], [-22]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.115 + t^2.472 + t^2.824 + t^3.176 + t^3.181 + t^3.528 + t^3.533 + 2*t^3.879 + t^3.89 + 2*t^4.231 + t^4.236 + t^4.583 + t^4.588 + t^4.94 + t^4.945 + t^5.291 + 2*t^5.297 + t^5.643 + 2*t^5.648 + t^5.995 - t^6. + 2*t^6.005 + t^6.346 + 2*t^6.352 + t^6.357 + 2*t^6.362 + t^6.698 + 3*t^6.703 + t^6.709 + 2*t^6.714 + 3*t^7.055 + 2*t^7.06 + t^7.071 + 3*t^7.407 + 2*t^7.412 + t^7.417 + t^7.423 + 3*t^7.758 + 2*t^7.764 + 2*t^7.769 + t^7.78 + 3*t^8.11 - t^8.115 + 2*t^8.121 + t^8.126 + 3*t^8.462 + t^8.472 + 2*t^8.478 + 2*t^8.813 + 2*t^8.819 - t^8.824 + 2*t^8.83 + t^8.835 - t^4.412/y - t^6.528/y + t^7.231/y + t^7.588/y - t^7.593/y + t^7.94/y + t^8.291/y + (3*t^8.297)/y + (2*t^8.648)/y + t^8.654/y + (2*t^8.995)/y - t^4.412*y - t^6.528*y + t^7.231*y + t^7.588*y - t^7.593*y + t^7.94*y + t^8.291*y + 3*t^8.297*y + 2*t^8.648*y + t^8.654*y + 2*t^8.995*y | g1^14*t^2.115 + t^2.472/g1^12 + t^2.824/g1^4 + g1^4*t^3.176 + t^3.181/g1^30 + g1^12*t^3.528 + t^3.533/g1^22 + 2*g1^20*t^3.879 + t^3.89/g1^48 + 2*g1^28*t^4.231 + t^4.236/g1^6 + g1^36*t^4.583 + g1^2*t^4.588 + g1^10*t^4.94 + t^4.945/g1^24 + g1^18*t^5.291 + (2*t^5.297)/g1^16 + g1^26*t^5.643 + (2*t^5.648)/g1^8 + g1^34*t^5.995 - t^6. + (2*t^6.005)/g1^34 + g1^42*t^6.346 + 2*g1^8*t^6.352 + t^6.357/g1^26 + (2*t^6.362)/g1^60 + g1^50*t^6.698 + 3*g1^16*t^6.703 + t^6.709/g1^18 + (2*t^6.714)/g1^52 + 3*g1^24*t^7.055 + (2*t^7.06)/g1^10 + t^7.071/g1^78 + 3*g1^32*t^7.407 + (2*t^7.412)/g1^2 + t^7.417/g1^36 + t^7.423/g1^70 + 3*g1^40*t^7.758 + 2*g1^6*t^7.764 + (2*t^7.769)/g1^28 + t^7.78/g1^96 + 3*g1^48*t^8.11 - g1^14*t^8.115 + (2*t^8.121)/g1^20 + t^8.126/g1^54 + 3*g1^56*t^8.462 + t^8.472/g1^12 + (2*t^8.478)/g1^46 + 2*g1^64*t^8.813 + 2*g1^30*t^8.819 - t^8.824/g1^4 + (2*t^8.83)/g1^38 + t^8.835/g1^72 - t^4.412/(g1^2*y) - (g1^12*t^6.528)/y + (g1^28*t^7.231)/y + (g1^2*t^7.588)/y - t^7.593/(g1^32*y) + (g1^10*t^7.94)/y + (g1^18*t^8.291)/y + (3*t^8.297)/(g1^16*y) + (2*t^8.648)/(g1^8*y) + t^8.654/(g1^42*y) + (2*g1^34*t^8.995)/y - (t^4.412*y)/g1^2 - g1^12*t^6.528*y + g1^28*t^7.231*y + g1^2*t^7.588*y - (t^7.593*y)/g1^32 + g1^10*t^7.94*y + g1^18*t^8.291*y + (3*t^8.297*y)/g1^16 + (2*t^8.648*y)/g1^8 + (t^8.654*y)/g1^42 + 2*g1^34*t^8.995*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 |
|---|---|---|---|---|---|---|---|---|
| 4736 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6743 | 0.8518 | 0.7916 | [M:[1.0696, 0.8156, 1.0574, 0.8278, 1.1722, 0.7009, 1.1844, 0.6886], q:[0.5226, 0.4078], qb:[0.42, 0.7643], phi:[0.4713]] | t^2.066 + t^2.103 + t^2.484 + t^2.828 + t^3.172 + t^3.209 + t^3.516 + t^3.553 + 2*t^3.861 + t^4.132 + t^4.168 + 2*t^4.205 + t^4.242 + 2*t^4.549 + t^4.586 + t^4.894 + t^4.93 + t^4.967 + t^5.238 + 2*t^5.275 + 2*t^5.311 + t^5.582 + 2*t^5.619 + 2*t^5.656 + 2*t^5.927 + t^5.963 - t^6. - t^4.414/y - t^4.414*y | detail | |
| 4730 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6483 | 0.8028 | 0.8076 | [M:[1.0662, 0.8181, 1.0578, 0.8265, 1.1735, 0.7024, 1.1819, 1.0578], q:[0.5247, 0.4091], qb:[0.4174, 0.7645], phi:[0.4711]] | t^2.107 + t^2.479 + 2*t^3.174 + t^3.199 + t^3.521 + t^3.546 + 2*t^3.868 + t^3.918 + 2*t^4.215 + t^4.24 + t^4.562 + t^4.587 + t^4.959 + 2*t^5.281 + t^5.306 + t^5.628 + 2*t^5.653 + t^5.975 - 2*t^6. - t^4.413/y - t^4.413*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1526 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6693 | 0.8394 | 0.7974 | [M:[1.0824, 0.8062, 1.0557, 0.833, 1.167, 0.6949], q:[0.5145, 0.4031], qb:[0.4299, 0.7639], phi:[0.4722]] | t^2.085 + t^2.419 + t^2.499 + t^2.833 + t^3.167 + t^3.247 + t^3.501 + 2*t^3.835 + t^3.996 + 2*t^4.169 + t^4.249 + 2*t^4.503 + t^4.584 + t^4.837 + 2*t^4.918 + t^4.998 + 2*t^5.252 + 2*t^5.332 + 2*t^5.586 + 2*t^5.666 + 2*t^5.92 - t^6. - t^4.416/y - t^4.416*y | detail |