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 |
|---|---|---|---|---|---|---|---|---|---|
| 50873 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.661 | 0.8142 | 0.8118 | [M:[1.1599, 1.0344, 0.8401, 0.7713, 0.9656, 1.0344], q:[0.3856, 0.4544], qb:[0.58, 0.7743], phi:[0.4514]] | [M:[[-14], [22], [14], [-30], [-22], [22]], q:[[-15], [29]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}$ | -2 | t^2.314 + t^2.52 + t^2.709 + 2*t^3.103 + t^3.48 + t^3.668 + t^3.874 + t^4.063 + t^4.081 + t^4.251 + t^4.457 + t^4.628 + 2*t^4.834 + t^5.022 + t^5.04 + t^5.229 + 2*t^5.417 + t^5.623 + 2*t^5.812 + t^5.982 - 2*t^6. + 2*t^6.188 + 2*t^6.206 + t^6.377 + t^6.395 + t^6.565 + t^6.583 + t^6.601 + 2*t^6.771 + t^6.789 + t^6.941 + t^6.978 + 2*t^7.148 + t^7.166 + 2*t^7.184 + 2*t^7.336 + t^7.354 - t^7.372 + 3*t^7.543 + 2*t^7.561 + 2*t^7.731 + t^7.749 + t^7.919 + 2*t^7.937 + t^7.955 + 2*t^8.126 + t^8.144 + t^8.162 + t^8.296 - 2*t^8.314 + t^8.332 + 2*t^8.502 + t^8.52 + t^8.538 + t^8.69 - t^8.709 + t^8.879 + 4*t^8.915 - t^4.354/y - t^6.668/y - t^7.063/y + t^7.251/y - t^7.457/y + t^7.646/y + t^7.834/y + t^8.022/y + t^8.04/y + t^8.229/y + (2*t^8.417)/y + (2*t^8.623)/y + t^8.794/y + (2*t^8.812)/y - t^4.354*y - t^6.668*y - t^7.063*y + t^7.251*y - t^7.457*y + t^7.646*y + t^7.834*y + t^8.022*y + t^8.04*y + t^8.229*y + 2*t^8.417*y + 2*t^8.623*y + t^8.794*y + 2*t^8.812*y | t^2.314/g1^30 + g1^14*t^2.52 + t^2.709/g1^4 + 2*g1^22*t^3.103 + t^3.48/g1^14 + t^3.668/g1^32 + g1^12*t^3.874 + t^4.063/g1^6 + g1^56*t^4.081 + t^4.251/g1^24 + g1^20*t^4.457 + t^4.628/g1^60 + (2*t^4.834)/g1^16 + t^5.022/g1^34 + g1^28*t^5.04 + g1^10*t^5.229 + (2*t^5.417)/g1^8 + g1^36*t^5.623 + 2*g1^18*t^5.812 + t^5.982/g1^62 - 2*t^6. + (2*t^6.188)/g1^18 + 2*g1^44*t^6.206 + t^6.377/g1^36 + g1^26*t^6.395 + t^6.565/g1^54 + g1^8*t^6.583 + g1^70*t^6.601 + (2*t^6.771)/g1^10 + g1^52*t^6.789 + t^6.941/g1^90 + g1^34*t^6.978 + (2*t^7.148)/g1^46 + g1^16*t^7.166 + 2*g1^78*t^7.184 + (2*t^7.336)/g1^64 + t^7.354/g1^2 - g1^60*t^7.372 + (3*t^7.543)/g1^20 + 2*g1^42*t^7.561 + (2*t^7.731)/g1^38 + g1^24*t^7.749 + t^7.919/g1^56 + 2*g1^6*t^7.937 + g1^68*t^7.955 + (2*t^8.126)/g1^12 + g1^50*t^8.144 + g1^112*t^8.162 + t^8.296/g1^92 - (2*t^8.314)/g1^30 + g1^32*t^8.332 + (2*t^8.502)/g1^48 + g1^14*t^8.52 + g1^76*t^8.538 + t^8.69/g1^66 - t^8.709/g1^4 + t^8.879/g1^84 + 4*g1^40*t^8.915 - t^4.354/(g1^2*y) - t^6.668/(g1^32*y) - t^7.063/(g1^6*y) + t^7.251/(g1^24*y) - (g1^20*t^7.457)/y + (g1^2*t^7.646)/y + t^7.834/(g1^16*y) + t^8.022/(g1^34*y) + (g1^28*t^8.04)/y + (g1^10*t^8.229)/y + (2*t^8.417)/(g1^8*y) + (2*g1^36*t^8.623)/y + t^8.794/(g1^44*y) + (2*g1^18*t^8.812)/y - (t^4.354*y)/g1^2 - (t^6.668*y)/g1^32 - (t^7.063*y)/g1^6 + (t^7.251*y)/g1^24 - g1^20*t^7.457*y + g1^2*t^7.646*y + (t^7.834*y)/g1^16 + (t^8.022*y)/g1^34 + g1^28*t^8.04*y + g1^10*t^8.229*y + (2*t^8.417*y)/g1^8 + 2*g1^36*t^8.623*y + (t^8.794*y)/g1^44 + 2*g1^18*t^8.812*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 |
|---|---|---|---|---|---|---|---|---|
| 56129 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.661 | 0.8142 | 0.8118 | [M:[1.1613, 1.0323, 0.8387, 0.7742, 0.9677, 1.0323], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] | t^2.323 + t^2.516 + t^2.71 + 2*t^3.097 + t^3.484 + t^3.677 + t^3.871 + 2*t^4.065 + t^4.258 + t^4.452 + t^4.645 + 2*t^4.839 + 2*t^5.032 + t^5.226 + 2*t^5.419 + t^5.613 + 2*t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 78765/119164, c: 24256/29791, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 30/31, M6: 32/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31} |
| 56128 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}^{2}$ | 0.5877 | 0.7418 | 0.7922 | [M:[1.2667, 0.8667, 0.7333, 1.0, 1.1333, 0.8667], q:[0.5, 0.2333], qb:[0.6333, 0.7667], phi:[0.4667]] | t^2.2 + 2*t^2.6 + 2*t^2.8 + t^3. + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + 2*t^4.8 + 2*t^5. + 4*t^5.2 + 4*t^5.4 + 4*t^5.6 + 2*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y | detail | {a: 1763/3000, c: 4451/6000, M1: 19/15, M2: 13/15, M3: 11/15, M4: 1, M5: 17/15, M6: 13/15, q1: 1/2, q2: 7/30, qb1: 19/30, qb2: 23/30, phi1: 7/15} |
| 56132 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6814 | 0.8529 | 0.7989 | [M:[1.1584, 1.0367, 0.8416, 0.7681, 0.9633, 1.0367, 0.7072], q:[0.384, 0.4575], qb:[0.5792, 0.7744], phi:[0.4512]] | t^2.122 + t^2.304 + t^2.525 + t^2.707 + 2*t^3.11 + t^3.475 + t^3.658 + t^4.061 + t^4.099 + 2*t^4.243 + t^4.426 + t^4.464 + t^4.608 + t^4.646 + 3*t^4.829 + t^5.011 + t^5.049 + 3*t^5.232 + 2*t^5.414 + t^5.597 + t^5.635 + t^5.78 + 2*t^5.817 + t^5.962 - 2*t^6. - t^4.354/y - t^4.354*y | detail | |
| 56131 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6793 | 0.8476 | 0.8014 | [M:[1.1681, 1.0215, 0.8319, 0.7889, 0.9785, 1.0215, 0.7585], q:[0.3944, 0.4374], qb:[0.5841, 0.7737], phi:[0.4526]] | t^2.276 + t^2.367 + t^2.496 + t^2.716 + 2*t^3.064 + t^3.504 + t^3.853 + t^3.982 + t^4.073 + t^4.293 + t^4.422 + t^4.551 + t^4.642 + t^4.733 + t^4.771 + 2*t^4.862 + 2*t^4.991 + t^5.082 + t^5.211 + 2*t^5.34 + 2*t^5.431 + t^5.56 + 3*t^5.78 - 2*t^6. - t^4.358/y - t^4.358*y | detail | |
| 56130 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6522 | 0.7994 | 0.8159 | [M:[1.1619, 1.0313, 0.8381, 0.7755, 0.9687, 1.0313, 1.0966], q:[0.3878, 0.4503], qb:[0.581, 0.7741], phi:[0.4517]] | t^2.327 + t^2.514 + 2*t^3.094 + t^3.29 + t^3.486 + t^3.682 + t^3.869 + t^4.057 + t^4.065 + t^4.261 + t^4.449 + t^4.653 + 2*t^4.841 + t^5.029 + t^5.42 + t^5.608 + t^5.616 + t^5.804 - 2*t^6. - t^4.355/y - t^4.355*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48229 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ | 0.6987 | 0.854 | 0.8182 | [M:[1.0329, 1.0279, 0.9671, 0.9112, 0.9721, 1.0279], q:[0.4556, 0.5115], qb:[0.5165, 0.5773], phi:[0.4848]] | t^2.734 + t^2.901 + t^2.909 + 2*t^3.084 + t^3.099 + t^3.281 + t^4.188 + t^4.356 + t^4.371 + t^4.523 + t^4.538 + 2*t^4.553 + t^4.721 + t^4.736 + t^4.918 + t^5.467 + t^5.642 + t^5.81 + t^5.817 + t^5.985 + 2*t^5.993 - 3*t^6. - t^4.454/y - t^4.454*y | detail |