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 |
|---|---|---|---|---|---|---|---|---|---|
| 46963 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.648 | 0.7954 | 0.8147 | [M:[0.931, 1.1448, 1.0943, 0.8552, 0.8805], q:[0.5093, 0.5598], qb:[0.346, 0.7736], phi:[0.4529]] | [M:[[-10], [-8], [4], [8], [2]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$ | ${}$ | -1 | t^2.566 + t^2.641 + t^2.717 + t^2.793 + t^3.283 + t^3.434 + t^3.849 + t^3.924 + t^4. + t^4.076 + t^4.414 + t^4.566 + t^4.717 + t^5.131 + t^5.207 + 2*t^5.283 + t^5.359 + 2*t^5.434 + t^5.586 + t^5.924 - t^6. + t^6.076 + t^6.227 + t^6.414 + t^6.49 + 2*t^6.566 + t^6.641 + t^6.717 + t^6.793 + t^6.869 + t^6.98 + t^7.056 + 2*t^7.131 + t^7.207 + t^7.283 + t^7.359 + t^7.434 + t^7.51 + 2*t^7.697 + t^7.773 + 3*t^7.849 + 2*t^7.924 + 2*t^8. + t^8.076 + 2*t^8.151 + t^8.227 + t^8.263 + t^8.338 + t^8.379 + t^8.414 - 2*t^8.641 - 2*t^8.793 + t^8.828 + t^8.869 + 2*t^8.98 - t^4.359/y - t^7./y - t^7.151/y + t^7.566/y + t^7.717/y + t^8.207/y + t^8.283/y + (2*t^8.359)/y + t^8.434/y + t^8.51/y + t^8.849/y + t^8.924/y - t^4.359*y - t^7.*y - t^7.151*y + t^7.566*y + t^7.717*y + t^8.207*y + t^8.283*y + 2*t^8.359*y + t^8.434*y + t^8.51*y + t^8.849*y + t^8.924*y | g1^8*t^2.566 + g1^2*t^2.641 + t^2.717/g1^4 + t^2.793/g1^10 + g1^4*t^3.283 + t^3.434/g1^8 + g1^12*t^3.849 + g1^6*t^3.924 + t^4. + t^4.076/g1^6 + g1^20*t^4.414 + g1^8*t^4.566 + t^4.717/g1^4 + g1^16*t^5.131 + g1^10*t^5.207 + 2*g1^4*t^5.283 + t^5.359/g1^2 + (2*t^5.434)/g1^8 + t^5.586/g1^20 + g1^6*t^5.924 - t^6. + t^6.076/g1^6 + t^6.227/g1^18 + g1^20*t^6.414 + g1^14*t^6.49 + 2*g1^8*t^6.566 + g1^2*t^6.641 + t^6.717/g1^4 + t^6.793/g1^10 + t^6.869/g1^16 + g1^28*t^6.98 + g1^22*t^7.056 + 2*g1^16*t^7.131 + g1^10*t^7.207 + g1^4*t^7.283 + t^7.359/g1^2 + t^7.434/g1^8 + t^7.51/g1^14 + 2*g1^24*t^7.697 + g1^18*t^7.773 + 3*g1^12*t^7.849 + 2*g1^6*t^7.924 + 2*t^8. + t^8.076/g1^6 + (2*t^8.151)/g1^12 + t^8.227/g1^18 + g1^32*t^8.263 + g1^26*t^8.338 + t^8.379/g1^30 + g1^20*t^8.414 - 2*g1^2*t^8.641 - (2*t^8.793)/g1^10 + g1^40*t^8.828 + t^8.869/g1^16 + 2*g1^28*t^8.98 - t^4.359/(g1^2*y) - t^7./y - t^7.151/(g1^12*y) + (g1^8*t^7.566)/y + t^7.717/(g1^4*y) + (g1^10*t^8.207)/y + (g1^4*t^8.283)/y + (2*t^8.359)/(g1^2*y) + t^8.434/(g1^8*y) + t^8.51/(g1^14*y) + (g1^12*t^8.849)/y + (g1^6*t^8.924)/y - (t^4.359*y)/g1^2 - t^7.*y - (t^7.151*y)/g1^12 + g1^8*t^7.566*y + (t^7.717*y)/g1^4 + g1^10*t^8.207*y + g1^4*t^8.283*y + (2*t^8.359*y)/g1^2 + (t^8.434*y)/g1^8 + (t^8.51*y)/g1^14 + g1^12*t^8.849*y + g1^6*t^8.924*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 |
|---|---|---|---|---|---|---|---|---|
| 55239 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.6614 | 0.8199 | 0.8067 | [M:[0.9541, 1.1633, 1.085, 0.8367, 0.8759, 0.8367], q:[0.4838, 0.5621], qb:[0.3529, 0.7713], phi:[0.4575]] | 2*t^2.51 + t^2.628 + t^2.745 + t^2.862 + t^3.255 + t^3.765 + t^3.883 + t^4. + t^4.117 + t^4.276 + t^4.51 + t^4.745 + 3*t^5.02 + 2*t^5.138 + 3*t^5.255 + 2*t^5.372 + 2*t^5.49 + t^5.724 + t^5.765 + t^5.883 - 2*t^6. - t^4.372/y - t^4.372*y | detail | |
| 55246 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.6108 | 0.7515 | 0.8129 | [M:[0.75, 1.0, 1.1667, 1.0, 0.9167], q:[0.7083, 0.5417], qb:[0.2917, 0.7917], phi:[0.4167]] | t^2.25 + t^2.5 + t^2.75 + 2*t^3. + t^3.5 + t^3.75 + t^4. + t^4.25 + 3*t^4.5 + 3*t^5. + 2*t^5.25 + 3*t^5.5 + 2*t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 1251/2048, c: 1539/2048, M1: 3/4, M2: 1, M3: 7/6, M4: 1, M5: 11/12, q1: 17/24, q2: 13/24, qb1: 7/24, qb2: 19/24, phi1: 5/12} |
| 55375 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6686 | 0.8353 | 0.8005 | [M:[0.9278, 1.1423, 1.0955, 0.8577, 0.8811, 0.69], q:[0.5127, 0.5595], qb:[0.345, 0.7739], phi:[0.4522]] | t^2.07 + t^2.573 + t^2.643 + t^2.713 + t^2.784 + t^3.287 + t^3.427 + t^3.86 + t^4. + t^4.07 + t^4.14 + t^4.433 + t^4.573 + t^4.643 + 2*t^4.713 + t^4.784 + t^4.854 + t^5.146 + t^5.216 + 2*t^5.287 + 2*t^5.357 + 2*t^5.427 + t^5.497 + t^5.567 + 2*t^5.93 - t^6. - t^4.357/y - t^4.357*y | detail | |
| 55342 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6683 | 0.8337 | 0.8015 | [M:[0.9209, 1.1367, 1.0983, 0.8633, 0.8825, 0.7051], q:[0.5204, 0.5588], qb:[0.3429, 0.7746], phi:[0.4508]] | t^2.115 + t^2.59 + t^2.647 + t^2.705 + t^2.763 + t^3.295 + t^3.41 + t^3.942 + t^4. + t^4.058 + t^4.23 + t^4.475 + t^4.59 + 2*t^4.705 + t^4.763 + t^4.82 + t^4.878 + t^5.18 + t^5.237 + 2*t^5.295 + t^5.353 + 3*t^5.41 + 2*t^5.525 + t^5.942 - t^6. - t^4.353/y - t^4.353*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46699 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.6373 | 0.7771 | 0.8201 | [M:[0.9242, 1.1394, 1.097, 0.8606], q:[0.5167, 0.5591], qb:[0.3439, 0.7742], phi:[0.4515]] | t^2.582 + t^2.709 + t^2.773 + t^3.291 + t^3.355 + t^3.418 + t^3.873 + t^3.936 + t^4. + t^4.064 + t^4.455 + t^4.582 + t^4.709 + t^5.164 + t^5.291 + t^5.418 + t^5.545 + t^5.936 - t^6. - t^4.355/y - t^4.355*y | detail |