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 |
|---|---|---|---|---|---|---|---|---|---|
| 57571 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ | 0.684 | 0.8481 | 0.8065 | [M:[1.0011, 0.9383, 1.1246, 0.6869, 0.7497, 1.2503, 0.8126], q:[0.5926, 0.4063], qb:[0.4691, 0.7811], phi:[0.4377]] | [M:[[-32], [-22], [12], [18], [8], [-8], [-2]], q:[[33], [-1]], qb:[[-11], [3]], phi:[[-6]]] | 1 | {a: 137580491/201130032, c: 85290089/100565016, M1: 6148/6141, M2: 5762/6141, M3: 2302/2047, M4: 1406/2047, M5: 4604/6141, M6: 7678/6141, M7: 4990/6141, q1: 1213/2047, q2: 2495/6141, qb1: 2881/6141, qb2: 1599/2047, phi1: 896/2047} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$ | ${}$ | -2 | t^2.061 + t^2.438 + t^2.626 + t^2.815 + t^3.003 + t^3.374 + 2*t^3.751 + 2*t^4.121 + t^4.128 + t^4.31 + 2*t^4.498 + t^4.687 + t^4.869 + 2*t^4.875 + 2*t^5.064 + 2*t^5.253 + t^5.434 + t^5.441 + t^5.63 + 2*t^5.811 + t^5.818 - 2*t^6. + t^6.007 + 2*t^6.182 + 2*t^6.189 + 2*t^6.377 + 2*t^6.559 + 2*t^6.566 + 2*t^6.747 + 2*t^6.754 + t^6.929 + 3*t^6.936 + 3*t^7.125 + t^7.131 + t^7.306 + 2*t^7.313 + 2*t^7.495 + 4*t^7.502 + 2*t^7.69 + 3*t^7.872 + 4*t^7.879 - 2*t^8.061 + 2*t^8.067 + 3*t^8.242 + 2*t^8.249 + 2*t^8.256 - 2*t^8.438 + 2*t^8.445 + 4*t^8.619 + t^8.626 + t^8.633 - t^8.815 + t^8.822 + 2*t^8.99 + 3*t^8.997 - t^4.313/y - t^6.374/y - t^6.751/y - t^7.128/y + t^7.31/y - t^7.317/y + (2*t^7.498)/y + t^7.687/y + (2*t^7.875)/y + (2*t^8.064)/y + (2*t^8.253)/y + (2*t^8.441)/y + t^8.63/y + (2*t^8.811)/y + t^8.818/y - t^4.313*y - t^6.374*y - t^6.751*y - t^7.128*y + t^7.31*y - t^7.317*y + 2*t^7.498*y + t^7.687*y + 2*t^7.875*y + 2*t^8.064*y + 2*t^8.253*y + 2*t^8.441*y + t^8.63*y + 2*t^8.811*y + t^8.818*y | g1^18*t^2.061 + t^2.438/g1^2 + t^2.626/g1^12 + t^2.815/g1^22 + t^3.003/g1^32 + g1^12*t^3.374 + (2*t^3.751)/g1^8 + 2*g1^36*t^4.121 + t^4.128/g1^28 + g1^26*t^4.31 + 2*g1^16*t^4.498 + g1^6*t^4.687 + g1^60*t^4.869 + (2*t^4.875)/g1^4 + (2*t^5.064)/g1^14 + (2*t^5.253)/g1^24 + g1^30*t^5.434 + t^5.441/g1^34 + t^5.63/g1^44 + 2*g1^10*t^5.811 + t^5.818/g1^54 - 2*t^6. + t^6.007/g1^64 + 2*g1^54*t^6.182 + (2*t^6.189)/g1^10 + (2*t^6.377)/g1^20 + 2*g1^34*t^6.559 + (2*t^6.566)/g1^30 + 2*g1^24*t^6.747 + (2*t^6.754)/g1^40 + g1^78*t^6.929 + 3*g1^14*t^6.936 + 3*g1^4*t^7.125 + t^7.131/g1^60 + g1^58*t^7.306 + (2*t^7.313)/g1^6 + 2*g1^48*t^7.495 + (4*t^7.502)/g1^16 + (2*t^7.69)/g1^26 + 3*g1^28*t^7.872 + (4*t^7.879)/g1^36 - 2*g1^18*t^8.061 + (2*t^8.067)/g1^46 + 3*g1^72*t^8.242 + 2*g1^8*t^8.249 + (2*t^8.256)/g1^56 - (2*t^8.438)/g1^2 + (2*t^8.445)/g1^66 + 4*g1^52*t^8.619 + t^8.626/g1^12 + t^8.633/g1^76 - t^8.815/g1^22 + t^8.822/g1^86 + 2*g1^96*t^8.99 + 3*g1^32*t^8.997 - t^4.313/(g1^6*y) - (g1^12*t^6.374)/y - t^6.751/(g1^8*y) - t^7.128/(g1^28*y) + (g1^26*t^7.31)/y - t^7.317/(g1^38*y) + (2*g1^16*t^7.498)/y + (g1^6*t^7.687)/y + (2*t^7.875)/(g1^4*y) + (2*t^8.064)/(g1^14*y) + (2*t^8.253)/(g1^24*y) + (2*t^8.441)/(g1^34*y) + t^8.63/(g1^44*y) + (2*g1^10*t^8.811)/y + t^8.818/(g1^54*y) - (t^4.313*y)/g1^6 - g1^12*t^6.374*y - (t^6.751*y)/g1^8 - (t^7.128*y)/g1^28 + g1^26*t^7.31*y - (t^7.317*y)/g1^38 + 2*g1^16*t^7.498*y + g1^6*t^7.687*y + (2*t^7.875*y)/g1^4 + (2*t^8.064*y)/g1^14 + (2*t^8.253*y)/g1^24 + (2*t^8.441*y)/g1^34 + (t^8.63*y)/g1^44 + 2*g1^10*t^8.811*y + (t^8.818*y)/g1^54 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58663 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{8}$ | 0.6793 | 0.8411 | 0.8076 | [M:[1.033, 0.9602, 1.1126, 0.669, 0.7418, 1.2582, 0.8146, 1.0398], q:[0.5597, 0.4073], qb:[0.4801, 0.7782], phi:[0.4437]] | t^2.007 + t^2.444 + t^2.662 + t^3.099 + t^3.119 + t^3.338 + 2*t^3.775 + 2*t^4.014 + t^4.212 + t^4.232 + 2*t^4.451 + t^4.669 + t^4.69 + t^4.887 + 2*t^5.106 + t^5.126 + t^5.324 + t^5.345 + t^5.563 + 3*t^5.782 - 2*t^6. - t^4.331/y - t^4.331*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55909 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ | 0.6683 | 0.8207 | 0.8143 | [M:[1.0032, 0.9397, 1.1238, 0.6857, 0.7492, 1.2508], q:[0.5905, 0.4063], qb:[0.4698, 0.781], phi:[0.4381]] | t^2.057 + t^2.629 + t^2.819 + t^3.01 + t^3.371 + t^3.562 + 2*t^3.752 + 2*t^4.114 + t^4.133 + t^4.305 + t^4.495 + t^4.686 + t^4.857 + t^4.876 + t^5.067 + t^5.257 + t^5.429 + t^5.619 + t^5.638 + t^5.81 + t^5.829 - 2*t^6. - t^4.314/y - t^4.314*y | detail | {a: 29473/44100, c: 36193/44100, M1: 316/315, M2: 296/315, M3: 118/105, M4: 24/35, M5: 236/315, M6: 394/315, q1: 62/105, q2: 128/315, qb1: 148/315, qb2: 82/105, phi1: 46/105} |