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 |
|---|---|---|---|---|---|---|---|---|---|
| 2242 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6803 | 0.8497 | 0.8007 | [X:[1.3548], M:[1.0325, 1.1611, 0.9675, 0.6452, 0.8389, 0.7096, 0.8389], q:[0.7742, 0.3869], qb:[0.5806, 0.4519], phi:[0.4516]] | [X:[[6]], M:[[-22], [14], [22], [-6], [-14], [12], [-14]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.129 + 2*t^2.517 + t^2.71 + t^2.903 + t^3.097 + t^3.676 + t^3.678 + t^4.064 + t^4.066 + 2*t^4.257 + t^4.452 + 2*t^4.645 + 2*t^4.838 + t^5.031 + 3*t^5.033 + 3*t^5.226 + 2*t^5.419 + t^5.612 + t^5.614 + t^5.805 + 2*t^5.807 - 2*t^6. + 2*t^6.193 + 3*t^6.195 + 2*t^6.386 + t^6.579 + t^6.581 + 2*t^6.583 + 3*t^6.774 + 2*t^6.776 + 2*t^6.967 + t^6.969 + t^7.16 + 3*t^7.162 + t^7.164 + t^7.353 + 4*t^7.355 + 2*t^7.548 + 3*t^7.55 + t^7.741 + 4*t^7.743 + t^7.745 + 2*t^7.934 + 4*t^7.936 - t^8.129 + 2*t^8.131 + t^8.133 + 2*t^8.322 + 3*t^8.324 + 3*t^8.515 - 3*t^8.517 + t^8.519 + t^8.708 - t^8.71 + 4*t^8.712 + t^8.903 + 3*t^8.904 - t^4.355/y - t^6.483/y - t^6.871/y - t^7.064/y + (3*t^7.645)/y + (2*t^7.838)/y + t^8.031/y + t^8.033/y + (4*t^8.226)/y + (2*t^8.419)/y + (2*t^8.614)/y + t^8.805/y + (2*t^8.807)/y - t^4.355*y - t^6.483*y - t^6.871*y - t^7.064*y + 3*t^7.645*y + 2*t^7.838*y + t^8.031*y + t^8.033*y + 4*t^8.226*y + 2*t^8.419*y + 2*t^8.614*y + t^8.805*y + 2*t^8.807*y | g1^12*t^2.129 + (2*t^2.517)/g1^14 + g1^4*t^2.71 + g1^22*t^2.903 + t^3.097/g1^22 + g1^32*t^3.676 + t^3.678/g1^30 + g1^6*t^4.064 + t^4.066/g1^56 + 2*g1^24*t^4.257 + t^4.452/g1^20 + (2*t^4.645)/g1^2 + 2*g1^16*t^4.838 + g1^34*t^5.031 + (3*t^5.033)/g1^28 + (3*t^5.226)/g1^10 + 2*g1^8*t^5.419 + g1^26*t^5.612 + t^5.614/g1^36 + g1^44*t^5.805 + (2*t^5.807)/g1^18 - 2*t^6. + 2*g1^18*t^6.193 + (3*t^6.195)/g1^44 + 2*g1^36*t^6.386 + g1^54*t^6.579 + t^6.581/g1^8 + (2*t^6.583)/g1^70 + 3*g1^10*t^6.774 + (2*t^6.776)/g1^52 + 2*g1^28*t^6.967 + t^6.969/g1^34 + g1^46*t^7.16 + (3*t^7.162)/g1^16 + t^7.164/g1^78 + g1^64*t^7.353 + 4*g1^2*t^7.355 + 2*g1^20*t^7.548 + (3*t^7.55)/g1^42 + g1^38*t^7.741 + (4*t^7.743)/g1^24 + t^7.745/g1^86 + 2*g1^56*t^7.934 + (4*t^7.936)/g1^6 - g1^12*t^8.129 + (2*t^8.131)/g1^50 + t^8.133/g1^112 + 2*g1^30*t^8.322 + (3*t^8.324)/g1^32 + 3*g1^48*t^8.515 - (3*t^8.517)/g1^14 + t^8.519/g1^76 + g1^66*t^8.708 - g1^4*t^8.71 + (4*t^8.712)/g1^58 + g1^22*t^8.903 + (3*t^8.904)/g1^40 - (g1^2*t^4.355)/y - (g1^14*t^6.483)/y - t^6.871/(g1^12*y) - (g1^6*t^7.064)/y + (3*t^7.645)/(g1^2*y) + (2*g1^16*t^7.838)/y + (g1^34*t^8.031)/y + t^8.033/(g1^28*y) + (4*t^8.226)/(g1^10*y) + (2*g1^8*t^8.419)/y + (2*t^8.614)/(g1^36*y) + (g1^44*t^8.805)/y + (2*t^8.807)/(g1^18*y) - g1^2*t^4.355*y - g1^14*t^6.483*y - (t^6.871*y)/g1^12 - g1^6*t^7.064*y + (3*t^7.645*y)/g1^2 + 2*g1^16*t^7.838*y + g1^34*t^8.031*y + (t^8.033*y)/g1^28 + (4*t^8.226*y)/g1^10 + 2*g1^8*t^8.419*y + (2*t^8.614*y)/g1^36 + g1^44*t^8.805*y + (2*t^8.807*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4238 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6988 | 0.8839 | 0.7906 | [X:[1.3585], M:[1.019, 1.1697, 0.981, 0.6415, 0.8303, 0.7169, 0.8303, 0.7549], q:[0.7736, 0.3961], qb:[0.5849, 0.4341], phi:[0.4528]] | t^2.151 + t^2.265 + 2*t^2.491 + t^2.717 + t^2.943 + t^3.057 + t^3.623 + t^3.963 + t^4.075 + 2*t^4.301 + 2*t^4.415 + t^4.529 + 2*t^4.642 + 2*t^4.756 + 2*t^4.868 + 4*t^4.982 + t^5.094 + 4*t^5.208 + t^5.322 + 2*t^5.434 + t^5.548 + t^5.66 + 2*t^5.774 + t^5.888 - 2*t^6. - t^4.358/y - t^4.358*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1200 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6666 | 0.826 | 0.8071 | [X:[1.352], M:[1.0427, 1.1546, 0.9573, 0.648, 0.8454, 0.704], q:[0.7747, 0.3799], qb:[0.5773, 0.4654], phi:[0.4507]] | t^2.112 + t^2.536 + t^2.704 + t^2.872 + t^3.128 + t^3.464 + t^3.632 + t^3.72 + t^4.056 + t^4.145 + 2*t^4.224 + t^4.48 + t^4.648 + 2*t^4.816 + t^4.984 + t^5.072 + 2*t^5.24 + t^5.408 + 2*t^5.576 + t^5.744 + 2*t^5.832 - t^6. - t^4.352/y - t^4.352*y | detail |