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 |
|---|---|---|---|---|---|---|---|---|---|
| 2556 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.7194 | 0.9002 | 0.7992 | [M:[1.087, 0.739, 0.8475, 0.9785, 1.0215, 0.8045, 0.913], q:[0.5435, 0.3695], qb:[0.609, 0.652], phi:[0.4565]] | [M:[[-2], [6], [15], [-11], [11], [-7], [2]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 | {a: 1723997/2396304, c: 1078525/1198152, M1: 1262/1161, M2: 286/387, M3: 328/387, M4: 1136/1161, M5: 1186/1161, M6: 934/1161, M7: 1060/1161, q1: 631/1161, q2: 143/387, qb1: 707/1161, qb2: 757/1161, phi1: 530/1161} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.217 + t^2.413 + t^2.543 + 2*t^2.739 + t^2.935 + t^3.065 + t^3.587 + t^4.109 + t^4.305 + 2*t^4.434 + 2*t^4.63 + t^4.76 + 2*t^4.827 + 4*t^4.956 + t^5.023 + t^5.085 + 3*t^5.152 + 3*t^5.282 + t^5.349 + 4*t^5.478 + t^5.607 + t^5.674 + 2*t^5.804 - 2*t^6. + t^6.129 - t^6.196 + 2*t^6.326 + 3*t^6.651 + 3*t^6.848 + 2*t^6.977 + 4*t^7.044 + 7*t^7.173 + 3*t^7.24 + t^7.302 + 5*t^7.37 + t^7.437 + 5*t^7.499 + 4*t^7.566 + t^7.628 + 7*t^7.695 + 3*t^7.762 + 3*t^7.824 + 3*t^7.891 + t^7.959 + 7*t^8.021 + t^8.15 + t^8.217 - t^8.284 + 3*t^8.346 - 3*t^8.413 + t^8.543 - t^8.61 + t^8.672 - 6*t^8.739 + 4*t^8.868 - 4*t^8.935 - t^4.37/y - t^6.587/y - t^6.783/y - t^6.912/y - t^7.109/y + (2*t^7.63)/y + t^7.76/y + t^7.827/y + (4*t^7.956)/y + (4*t^8.152)/y + (3*t^8.282)/y + t^8.349/y + (3*t^8.478)/y + t^8.607/y + (2*t^8.674)/y + (2*t^8.804)/y - t^4.37*y - t^6.587*y - t^6.783*y - t^6.912*y - t^7.109*y + 2*t^7.63*y + t^7.76*y + t^7.827*y + 4*t^7.956*y + 4*t^8.152*y + 3*t^8.282*y + t^8.349*y + 3*t^8.478*y + t^8.607*y + 2*t^8.674*y + 2*t^8.804*y | g1^6*t^2.217 + t^2.413/g1^7 + g1^15*t^2.543 + 2*g1^2*t^2.739 + t^2.935/g1^11 + g1^11*t^3.065 + g1^7*t^3.587 + g1^3*t^4.109 + t^4.305/g1^10 + 2*g1^12*t^4.434 + (2*t^4.63)/g1 + g1^21*t^4.76 + (2*t^4.827)/g1^14 + 4*g1^8*t^4.956 + t^5.023/g1^27 + g1^30*t^5.085 + (3*t^5.152)/g1^5 + 3*g1^17*t^5.282 + t^5.349/g1^18 + 4*g1^4*t^5.478 + g1^26*t^5.607 + t^5.674/g1^9 + 2*g1^13*t^5.804 - 2*t^6. + g1^22*t^6.129 - t^6.196/g1^13 + 2*g1^9*t^6.326 + 3*g1^18*t^6.651 + 3*g1^5*t^6.848 + 2*g1^27*t^6.977 + (4*t^7.044)/g1^8 + 7*g1^14*t^7.173 + (3*t^7.24)/g1^21 + g1^36*t^7.302 + 5*g1*t^7.37 + t^7.437/g1^34 + 5*g1^23*t^7.499 + (4*t^7.566)/g1^12 + g1^45*t^7.628 + 7*g1^10*t^7.695 + (3*t^7.762)/g1^25 + 3*g1^32*t^7.824 + (3*t^7.891)/g1^3 + t^7.959/g1^38 + 7*g1^19*t^8.021 + g1^41*t^8.15 + g1^6*t^8.217 - t^8.284/g1^29 + 3*g1^28*t^8.346 - (3*t^8.413)/g1^7 + g1^15*t^8.543 - t^8.61/g1^20 + g1^37*t^8.672 - 6*g1^2*t^8.739 + 4*g1^24*t^8.868 - (4*t^8.935)/g1^11 - (g1*t^4.37)/y - (g1^7*t^6.587)/y - t^6.783/(g1^6*y) - (g1^16*t^6.912)/y - (g1^3*t^7.109)/y + (2*t^7.63)/(g1*y) + (g1^21*t^7.76)/y + t^7.827/(g1^14*y) + (4*g1^8*t^7.956)/y + (4*t^8.152)/(g1^5*y) + (3*g1^17*t^8.282)/y + t^8.349/(g1^18*y) + (3*g1^4*t^8.478)/y + (g1^26*t^8.607)/y + (2*t^8.674)/(g1^9*y) + (2*g1^13*t^8.804)/y - g1*t^4.37*y - g1^7*t^6.587*y - (t^6.783*y)/g1^6 - g1^16*t^6.912*y - g1^3*t^7.109*y + (2*t^7.63*y)/g1 + g1^21*t^7.76*y + (t^7.827*y)/g1^14 + 4*g1^8*t^7.956*y + (4*t^8.152*y)/g1^5 + 3*g1^17*t^8.282*y + (t^8.349*y)/g1^18 + 3*g1^4*t^8.478*y + g1^26*t^8.607*y + (2*t^8.674*y)/g1^9 + 2*g1^13*t^8.804*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 |
|---|---|---|---|---|---|---|---|---|
| 4623 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}X_{1}$ | 0.6095 | 0.7583 | 0.8037 | [X:[1.3333], M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 0.9524], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]] | t^2.286 + t^2.571 + 2*t^2.857 + 2*t^3.429 + 2*t^3.714 + 3*t^4. + t^4.286 + t^4.571 + t^4.857 + 3*t^5.143 + 2*t^5.429 + 3*t^5.714 - t^6. - t^4.429/y - t^4.429*y | detail | {a: 5017/8232, c: 3121/4116, X1: 4/3, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 20/21, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21} |
| 4628 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}^{2}$ | 0.696 | 0.871 | 0.7991 | [M:[1.0667, 0.8, 1.0, 0.8667, 1.1333, 0.7333, 0.9333], q:[0.5333, 0.4], qb:[0.4667, 0.7333], phi:[0.4667]] | t^2.2 + t^2.4 + t^2.6 + 2*t^2.8 + t^3. + t^3.4 + t^3.8 + t^4. + 2*t^4.2 + 2*t^4.4 + 2*t^4.6 + 3*t^4.8 + 3*t^5. + 4*t^5.2 + 2*t^5.4 + 4*t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 87/125, c: 871/1000, M1: 16/15, M2: 4/5, M3: 1, M4: 13/15, M5: 17/15, M6: 11/15, M7: 14/15, q1: 8/15, q2: 2/5, qb1: 7/15, qb2: 11/15, phi1: 7/15} |
| 4633 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}M_{8}$ | 0.7034 | 0.8729 | 0.8058 | [M:[1.089, 0.733, 0.8325, 0.9895, 1.0105, 0.8115, 0.911, 1.1885], q:[0.5445, 0.3665], qb:[0.623, 0.644], phi:[0.4555]] | t^2.199 + t^2.498 + 2*t^2.733 + t^2.968 + t^3.032 + 2*t^3.566 + t^4.1 + t^4.335 + 2*t^4.398 + t^4.633 + t^4.697 + t^4.869 + 3*t^4.932 + t^4.995 + t^5.104 + t^5.167 + 3*t^5.231 + 3*t^5.466 + t^5.529 + t^5.701 + 3*t^5.765 - 3*t^6. - t^4.367/y - t^4.367*y | detail | |
| 4638 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7359 | 0.9287 | 0.7924 | [M:[1.0851, 0.7446, 0.8614, 0.9683, 1.0317, 0.798, 0.9149, 0.798], q:[0.5426, 0.3723], qb:[0.596, 0.6594], phi:[0.4574]] | t^2.234 + 2*t^2.394 + t^2.584 + 2*t^2.745 + t^2.905 + t^3.095 + t^4.117 + t^4.277 + 2*t^4.467 + 3*t^4.628 + 4*t^4.788 + t^4.818 + t^4.948 + 5*t^4.978 + 5*t^5.139 + t^5.169 + 2*t^5.299 + 3*t^5.329 + 5*t^5.489 + t^5.649 + t^5.68 + t^5.84 - 3*t^6. - t^4.372/y - t^4.372*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1475 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7115 | 0.8866 | 0.8025 | [M:[1.0862, 0.7414, 0.8534, 0.9742, 1.0258, 0.8017], q:[0.5431, 0.3707], qb:[0.6035, 0.6552], phi:[0.4569]] | t^2.224 + t^2.405 + t^2.56 + t^2.741 + t^2.923 + t^3.077 + t^3.259 + t^3.595 + t^4.112 + t^4.293 + 2*t^4.448 + 2*t^4.629 + t^4.784 + 2*t^4.81 + 3*t^4.965 + t^4.992 + t^5.12 + 2*t^5.147 + 2*t^5.302 + t^5.328 + 3*t^5.483 + t^5.638 + t^5.664 + 2*t^5.819 - t^6. - t^4.371/y - t^4.371*y | detail |