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 |
|---|---|---|---|---|---|---|---|---|---|
| 55537 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.576 | 0.7183 | 0.8019 | [X:[1.5743], M:[0.4257, 0.9801, 1.2772, 0.7228, 1.0199, 0.8515], q:[0.6386, 0.9357], qb:[0.3813, 0.3415], phi:[0.4257]] | [X:[[2]], M:[[-2], [-14], [-6], [6], [14], [-4]], q:[[-3], [5]], qb:[[17], [-11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | ${}$ | -1 | t^2.168 + 2*t^2.554 + t^2.94 + t^3.06 + t^3.326 + t^3.565 + t^3.832 + t^3.951 + t^4.337 + 3*t^4.723 + 4*t^5.109 + t^5.228 + 2*t^5.495 + t^5.614 + t^5.733 + 2*t^5.881 - t^6. + 3*t^6.119 + t^6.267 + t^6.386 + 2*t^6.505 + t^6.625 + t^6.653 - t^6.772 + 2*t^6.891 + t^7.13 + 4*t^7.277 + t^7.516 + 6*t^7.663 + t^7.782 + 2*t^7.902 + 3*t^8.049 - 2*t^8.168 + 3*t^8.288 + 3*t^8.435 - 4*t^8.554 + 4*t^8.674 + t^8.793 + 2*t^8.821 - 2*t^8.94 - t^4.277/y - (2*t^6.832)/y + (4*t^7.723)/y + (2*t^8.109)/y + t^8.228/y + (3*t^8.495)/y + (2*t^8.614)/y + t^8.733/y + (2*t^8.881)/y - t^4.277*y - 2*t^6.832*y + 4*t^7.723*y + 2*t^8.109*y + t^8.228*y + 3*t^8.495*y + 2*t^8.614*y + t^8.733*y + 2*t^8.881*y | g1^6*t^2.168 + (2*t^2.554)/g1^4 + t^2.94/g1^14 + g1^14*t^3.06 + t^3.326/g1^24 + g1^32*t^3.565 + t^3.832/g1^6 + g1^22*t^3.951 + g1^12*t^4.337 + 3*g1^2*t^4.723 + (4*t^5.109)/g1^8 + g1^20*t^5.228 + (2*t^5.495)/g1^18 + g1^10*t^5.614 + g1^38*t^5.733 + (2*t^5.881)/g1^28 - t^6. + 3*g1^28*t^6.119 + t^6.267/g1^38 + t^6.386/g1^10 + 2*g1^18*t^6.505 + g1^46*t^6.625 + t^6.653/g1^48 - t^6.772/g1^20 + 2*g1^8*t^6.891 + g1^64*t^7.13 + (4*t^7.277)/g1^2 + g1^54*t^7.516 + (6*t^7.663)/g1^12 + g1^16*t^7.782 + 2*g1^44*t^7.902 + (3*t^8.049)/g1^22 - 2*g1^6*t^8.168 + 3*g1^34*t^8.288 + (3*t^8.435)/g1^32 - (4*t^8.554)/g1^4 + 4*g1^24*t^8.674 + g1^52*t^8.793 + (2*t^8.821)/g1^42 - (2*t^8.94)/g1^14 - t^4.277/(g1^2*y) - (2*t^6.832)/(g1^6*y) + (4*g1^2*t^7.723)/y + (2*t^8.109)/(g1^8*y) + (g1^20*t^8.228)/y + (3*t^8.495)/(g1^18*y) + (2*g1^10*t^8.614)/y + (g1^38*t^8.733)/y + (2*t^8.881)/(g1^28*y) - (t^4.277*y)/g1^2 - (2*t^6.832*y)/g1^6 + 4*g1^2*t^7.723*y + (2*t^8.109*y)/g1^8 + g1^20*t^8.228*y + (3*t^8.495*y)/g1^18 + 2*g1^10*t^8.614*y + g1^38*t^8.733*y + (2*t^8.881*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57093 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.5751 | 0.718 | 0.801 | [X:[1.5714], M:[0.4286, 1.0002, 1.2858, 0.7142, 0.9998, 0.8572, 0.9998], q:[0.6429, 0.9285], qb:[0.3569, 0.3573], phi:[0.4286]] | t^2.143 + 2*t^2.572 + 2*t^2.999 + t^3.427 + t^3.43 + t^3.856 + t^3.857 + t^4.285 + 3*t^4.714 + 2*t^5.142 + 3*t^5.143 + t^5.57 + 3*t^5.571 + 5*t^5.999 - 2*t^6. - t^4.286/y - t^4.286*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48117 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.563 | 0.6963 | 0.8086 | [X:[1.5736], M:[0.4264, 0.9848, 1.2792, 0.7208, 1.0152], q:[0.6396, 0.934], qb:[0.3756, 0.3452], phi:[0.4264]] | t^2.162 + t^2.558 + t^2.954 + t^3.046 + t^3.35 + t^3.442 + t^3.533 + t^3.838 + t^3.929 + t^4.325 + 2*t^4.721 + 2*t^5.117 + t^5.208 + t^5.513 + t^5.604 + t^5.695 + t^5.909 - t^4.279/y - t^4.279*y | detail |