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 |
|---|---|---|---|---|---|---|---|---|---|
| 48238 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6768 | 0.8462 | 0.7998 | [M:[1.1595, 1.0724, 0.8405, 0.7827, 0.7535], q:[0.3914, 0.4492], qb:[0.5362, 0.7681], phi:[0.4638]] | [M:[[-5], [4], [5], [-12], [14]], q:[[-6], [11]], qb:[[2], [1]], phi:[[-2]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -1 | t^2.26 + t^2.348 + t^2.522 + t^2.783 + t^2.956 + t^3.217 + t^3.478 + 2*t^3.913 + t^4.086 + t^4.174 + t^4.348 + t^4.521 + 2*t^4.609 + t^4.696 + t^4.782 + t^4.87 + 2*t^5.043 + t^5.131 + t^5.217 + 2*t^5.304 + 2*t^5.478 + t^5.565 + 2*t^5.739 + t^5.912 - t^6. + 2*t^6.173 + t^6.261 + t^6.347 + 3*t^6.435 + t^6.522 + 2*t^6.608 + 2*t^6.696 + t^6.781 + 5*t^6.869 + t^6.957 + 2*t^7.043 + t^7.045 + 2*t^7.13 + 3*t^7.304 + 2*t^7.391 + t^7.477 + t^7.479 + 3*t^7.565 + t^7.652 + 2*t^7.738 + 3*t^7.826 + t^7.914 + 4*t^7.999 + t^8.087 + 2*t^8.173 + t^8.26 - 2*t^8.348 + 4*t^8.434 + t^8.607 + 4*t^8.695 + 3*t^8.868 + t^8.87 + t^8.956 - t^4.391/y - t^6.652/y - t^6.74/y + t^7.609/y + t^7.782/y + t^7.87/y + (2*t^8.043)/y + (2*t^8.131)/y + t^8.217/y + (2*t^8.304)/y + (2*t^8.478)/y + t^8.565/y + (3*t^8.739)/y + t^8.827/y - t^8.912/y - t^4.391*y - t^6.652*y - t^6.74*y + t^7.609*y + t^7.782*y + t^7.87*y + 2*t^8.043*y + 2*t^8.131*y + t^8.217*y + 2*t^8.304*y + 2*t^8.478*y + t^8.565*y + 3*t^8.739*y + t^8.827*y - t^8.912*y | g1^14*t^2.26 + t^2.348/g1^12 + g1^5*t^2.522 + t^2.783/g1^4 + g1^13*t^2.956 + g1^4*t^3.217 + t^3.478/g1^5 + 2*g1^3*t^3.913 + g1^20*t^4.086 + t^4.174/g1^6 + g1^11*t^4.348 + g1^28*t^4.521 + 2*g1^2*t^4.609 + t^4.696/g1^24 + g1^19*t^4.782 + t^4.87/g1^7 + 2*g1^10*t^5.043 + t^5.131/g1^16 + g1^27*t^5.217 + 2*g1*t^5.304 + 2*g1^18*t^5.478 + t^5.565/g1^8 + 2*g1^9*t^5.739 + g1^26*t^5.912 - t^6. + 2*g1^17*t^6.173 + t^6.261/g1^9 + g1^34*t^6.347 + 3*g1^8*t^6.435 + t^6.522/g1^18 + 2*g1^25*t^6.608 + (2*t^6.696)/g1 + g1^42*t^6.781 + 5*g1^16*t^6.869 + t^6.957/g1^10 + 2*g1^33*t^7.043 + t^7.045/g1^36 + 2*g1^7*t^7.13 + 3*g1^24*t^7.304 + (2*t^7.391)/g1^2 + g1^41*t^7.477 + t^7.479/g1^28 + 3*g1^15*t^7.565 + t^7.652/g1^11 + 2*g1^32*t^7.738 + 3*g1^6*t^7.826 + t^7.914/g1^20 + 4*g1^23*t^7.999 + t^8.087/g1^3 + 2*g1^40*t^8.173 + g1^14*t^8.26 - (2*t^8.348)/g1^12 + 4*g1^31*t^8.434 + g1^48*t^8.607 + 4*g1^22*t^8.695 + 3*g1^39*t^8.868 + t^8.87/g1^30 + g1^13*t^8.956 - t^4.391/(g1^2*y) - (g1^12*t^6.652)/y - t^6.74/(g1^14*y) + (g1^2*t^7.609)/y + (g1^19*t^7.782)/y + t^7.87/(g1^7*y) + (2*g1^10*t^8.043)/y + (2*t^8.131)/(g1^16*y) + (g1^27*t^8.217)/y + (2*g1*t^8.304)/y + (2*g1^18*t^8.478)/y + t^8.565/(g1^8*y) + (3*g1^9*t^8.739)/y + t^8.827/(g1^17*y) - (g1^26*t^8.912)/y - (t^4.391*y)/g1^2 - g1^12*t^6.652*y - (t^6.74*y)/g1^14 + g1^2*t^7.609*y + g1^19*t^7.782*y + (t^7.87*y)/g1^7 + 2*g1^10*t^8.043*y + (2*t^8.131*y)/g1^16 + g1^27*t^8.217*y + 2*g1*t^8.304*y + 2*g1^18*t^8.478*y + (t^8.565*y)/g1^8 + 3*g1^9*t^8.739*y + (t^8.827*y)/g1^17 - g1^26*t^8.912*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 |
|---|---|---|---|---|---|---|---|---|
| 50881 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}X_{1}$ | 0.5688 | 0.6872 | 0.8277 | [X:[1.4737], M:[1.0526, 1.1579, 0.9474, 0.5263, 1.0526], q:[0.2632, 0.6842], qb:[0.5789, 0.7895], phi:[0.4211]] | t^2.526 + t^2.842 + 2*t^3.158 + t^3.474 + 2*t^3.789 + 2*t^4.105 + t^4.421 + t^5.053 + 2*t^5.368 + t^5.684 - t^6. - t^4.263/y - t^4.263*y | detail | {a: 7803/13718, c: 18855/27436, X1: 28/19, M1: 20/19, M2: 22/19, M3: 18/19, M4: 10/19, M5: 20/19, q1: 5/19, q2: 13/19, qb1: 11/19, qb2: 15/19, phi1: 8/19} |
| 55976 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ | 0.5942 | 0.7192 | 0.8262 | [X:[1.4286], M:[1.0714, 1.1429, 0.9286, 0.5714, 1.0], q:[0.2857, 0.6429], qb:[0.5714, 0.7857], phi:[0.4286]] | t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.643 + t^3.857 + 2*t^4.071 + t^4.286 + t^4.714 + t^5.143 + t^5.357 + 2*t^5.571 - t^4.286/y - t^4.286*y | detail | {a: 3261/5488, c: 3947/5488, X1: 10/7, M1: 15/14, M2: 8/7, M3: 13/14, M4: 4/7, M5: 1, q1: 2/7, q2: 9/14, qb1: 4/7, qb2: 11/14, phi1: 3/7} |
| 52344 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6974 | 0.8857 | 0.7874 | [M:[1.159, 1.0728, 0.841, 0.7815, 0.7549, 0.6954], q:[0.3907, 0.4503], qb:[0.5364, 0.7682], phi:[0.4636]] | t^2.086 + t^2.265 + t^2.344 + t^2.523 + t^2.781 + t^2.96 + t^3.219 + t^3.477 + t^3.914 + t^4.093 + 2*t^4.172 + 2*t^4.351 + t^4.431 + t^4.53 + 3*t^4.609 + t^4.689 + t^4.788 + 2*t^4.868 + 3*t^5.046 + t^5.126 + t^5.225 + 3*t^5.305 + 2*t^5.483 + 2*t^5.563 + 2*t^5.742 + t^5.92 - t^4.391/y - t^4.391*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46743 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6793 | 0.8474 | 0.8016 | [M:[1.1687, 1.0148, 0.8313, 0.788, 0.7613], q:[0.394, 0.4373], qb:[0.5912, 0.7746], phi:[0.4507]] | t^2.284 + t^2.364 + t^2.494 + t^2.704 + t^3.044 + t^3.086 + t^3.506 + t^3.846 + t^3.976 + t^4.097 + t^4.308 + t^4.438 + t^4.568 + t^4.648 + t^4.728 + t^4.778 + t^4.858 + t^4.899 + 2*t^4.988 + t^5.068 + t^5.198 + t^5.328 + t^5.369 + t^5.408 + t^5.45 + t^5.58 + t^5.749 + 2*t^5.79 - 2*t^6. - t^4.352/y - t^4.352*y | detail |