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 |
|---|---|---|---|---|---|---|---|---|---|
| 2902 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6388 | 0.7919 | 0.8066 | [X:[1.6177], M:[0.7844, 1.2353, 0.7449, 1.147, 0.3823, 0.853, 0.696], q:[0.4608, 0.7548], qb:[0.3922, 0.8629], phi:[0.3823]] | [X:[[0, 1]], M:[[2, -8], [0, 2], [-2, 4], [0, -3], [0, -1], [0, 3], [2, -13]], q:[[-1, 7], [-1, 1]], qb:[[1, -4], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$ | ${}$ | -2 | t^2.088 + t^2.235 + t^2.353 + t^2.559 + t^3.441 + t^3.5 + 2*t^3.706 + t^3.971 + t^4.176 + t^4.323 + t^4.441 + t^4.469 + t^4.588 + t^4.647 + t^4.707 + t^4.794 + t^4.853 + t^4.912 + t^5.118 + t^5.529 + t^5.588 + t^5.676 + 2*t^5.794 + t^5.854 + t^5.941 - 2*t^6. + 3*t^6.059 + t^6.264 + t^6.265 + t^6.324 + t^6.411 + 2*t^6.53 + t^6.557 + t^6.676 + t^6.704 + t^6.735 + t^6.795 + t^6.823 + t^6.882 + 2*t^6.941 + 2*t^7. + t^7.028 + t^7.06 + 2*t^7.206 + t^7.266 - t^7.353 + t^7.412 + t^7.471 + t^7.617 - t^7.618 + 3*t^7.677 + t^7.764 + 2*t^7.882 + t^7.91 + 2*t^7.942 + t^8.029 - 2*t^8.088 + 3*t^8.147 + t^8.175 + t^8.207 - 2*t^8.235 + t^8.294 - t^8.353 + 3*t^8.413 + t^8.499 - t^8.5 - 2*t^8.559 + 2*t^8.618 + t^8.646 + t^8.678 + t^8.764 - t^8.765 + t^8.792 + 2*t^8.824 + t^8.883 + t^8.884 + t^8.911 + t^8.939 + t^8.97 - t^4.147/y - t^6.235/y - t^6.382/y - t^6.5/y + t^7.323/y + t^7.441/y + t^7.588/y + t^7.647/y + (2*t^7.794)/y + (2*t^7.912)/y + t^8.059/y - t^8.323/y - t^8.47/y + t^8.529/y - t^8.616/y + t^8.676/y + (3*t^8.794)/y + (2*t^8.941)/y - t^4.147*y - t^6.235*y - t^6.382*y - t^6.5*y + t^7.323*y + t^7.441*y + t^7.588*y + t^7.647*y + 2*t^7.794*y + 2*t^7.912*y + t^8.059*y - t^8.323*y - t^8.47*y + t^8.529*y - t^8.616*y + t^8.676*y + 3*t^8.794*y + 2*t^8.941*y | (g1^2*t^2.088)/g2^13 + (g2^4*t^2.235)/g1^2 + (g1^2*t^2.353)/g2^8 + g2^3*t^2.559 + t^3.441/g2^3 + (g1^2*t^3.5)/g2^9 + 2*g2^2*t^3.706 + g2^7*t^3.971 + (g1^4*t^4.176)/g2^26 + t^4.323/g2^9 + (g1^4*t^4.441)/g2^21 + (g2^8*t^4.469)/g1^4 + t^4.588/g2^4 + (g1^2*t^4.647)/g2^10 + (g1^4*t^4.707)/g2^16 + (g2^7*t^4.794)/g1^2 + g2*t^4.853 + (g1^2*t^4.912)/g2^5 + g2^6*t^5.118 + (g1^2*t^5.529)/g2^16 + (g1^4*t^5.588)/g2^22 + (g2*t^5.676)/g1^2 + (2*g1^2*t^5.794)/g2^11 + (g1^4*t^5.854)/g2^17 + (g2^6*t^5.941)/g1^2 - 2*t^6. + (3*g1^2*t^6.059)/g2^6 + (g1^6*t^6.264)/g2^39 + g2^5*t^6.265 + (g1^2*t^6.324)/g2 + (g1^2*t^6.411)/g2^22 + (g1^6*t^6.53)/g2^34 + g2^10*t^6.53 + t^6.557/(g1^2*g2^5) + (g1^2*t^6.676)/g2^17 + (g2^12*t^6.704)/g1^6 + (g1^4*t^6.735)/g2^23 + (g1^6*t^6.795)/g2^29 + t^6.823/g1^2 + t^6.882/g2^6 + (2*g1^2*t^6.941)/g2^12 + (2*g1^4*t^7.)/g2^18 + (g2^11*t^7.028)/g1^4 + (g1^6*t^7.06)/g2^24 + (2*g1^2*t^7.206)/g2^7 + (g1^4*t^7.266)/g2^13 - (g2^10*t^7.353)/g1^2 + g2^4*t^7.412 + (g1^2*t^7.471)/g2^2 + (g1^4*t^7.617)/g2^29 - (g2^15*t^7.618)/g1^2 + (g1^6*t^7.677)/g2^35 + 2*g2^9*t^7.677 + t^7.764/g2^12 + (2*g1^4*t^7.882)/g2^24 + (g2^5*t^7.91)/g1^4 + (g1^6*t^7.942)/g2^30 + g2^14*t^7.942 + t^8.029/g2^7 - (2*g1^2*t^8.088)/g2^13 + (3*g1^4*t^8.147)/g2^19 + (g2^10*t^8.175)/g1^4 + (g1^6*t^8.207)/g2^25 - (2*g2^4*t^8.235)/g1^2 + t^8.294/g2^2 + (g1^8*t^8.353)/g2^52 - (2*g1^2*t^8.353)/g2^8 + (3*g1^4*t^8.413)/g2^14 + (g1^4*t^8.499)/g2^35 - (g2^9*t^8.5)/g1^2 - 2*g2^3*t^8.559 + (g1^8*t^8.618)/g2^47 + (g1^2*t^8.618)/g2^3 + t^8.646/g2^18 + (g1^4*t^8.678)/g2^9 + (g1^4*t^8.764)/g2^30 - (g2^14*t^8.765)/g1^2 + t^8.792/(g1^4*g2) + (g1^6*t^8.824)/g2^36 + g2^8*t^8.824 + (g1^8*t^8.883)/g2^42 + g1^2*g2^2*t^8.884 + t^8.911/g2^13 + (g2^16*t^8.939)/g1^8 + (g1^2*t^8.97)/g2^19 - t^4.147/(g2*y) - (g1^2*t^6.235)/(g2^14*y) - (g2^3*t^6.382)/(g1^2*y) - (g1^2*t^6.5)/(g2^9*y) + t^7.323/(g2^9*y) + (g1^4*t^7.441)/(g2^21*y) + t^7.588/(g2^4*y) + (g1^2*t^7.647)/(g2^10*y) + (2*g2^7*t^7.794)/(g1^2*y) + (2*g1^2*t^7.912)/(g2^5*y) + (g2^12*t^8.059)/(g1^2*y) - (g1^4*t^8.323)/(g2^27*y) - t^8.47/(g2^10*y) + (g1^2*t^8.529)/(g2^16*y) - (g2^7*t^8.616)/(g1^4*y) + (g2*t^8.676)/(g1^2*y) + (3*g1^2*t^8.794)/(g2^11*y) + (2*g2^6*t^8.941)/(g1^2*y) - (t^4.147*y)/g2 - (g1^2*t^6.235*y)/g2^14 - (g2^3*t^6.382*y)/g1^2 - (g1^2*t^6.5*y)/g2^9 + (t^7.323*y)/g2^9 + (g1^4*t^7.441*y)/g2^21 + (t^7.588*y)/g2^4 + (g1^2*t^7.647*y)/g2^10 + (2*g2^7*t^7.794*y)/g1^2 + (2*g1^2*t^7.912*y)/g2^5 + (g2^12*t^8.059*y)/g1^2 - (g1^4*t^8.323*y)/g2^27 - (t^8.47*y)/g2^10 + (g1^2*t^8.529*y)/g2^16 - (g2^7*t^8.616*y)/g1^4 + (g2*t^8.676*y)/g1^2 + (3*g1^2*t^8.794*y)/g2^11 + (2*g2^6*t^8.941*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3489 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{8}$ | 0.622 | 0.7618 | 0.8165 | [X:[1.6183], M:[0.8091, 1.2365, 0.7178, 1.1452, 0.3817, 0.8548, 0.7178, 1.1909], q:[0.4502, 0.7406], qb:[0.4046, 0.8777], phi:[0.3817]] | 2*t^2.153 + t^2.564 + t^3.436 + 2*t^3.573 + 2*t^3.71 + t^3.984 + 3*t^4.307 + 2*t^4.718 + t^4.855 + t^5.129 + 2*t^5.589 + 3*t^5.726 + 2*t^5.863 - 2*t^6. - t^4.145/y - t^4.145*y | detail | |
| 3488 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}X_{2}$ | 0.5788 | 0.715 | 0.8095 | [X:[1.5896, 1.3583], M:[0.6417, 1.1791, 1.0, 1.2313, 0.4104, 0.7687, 0.6939], q:[0.4478, 0.9104], qb:[0.3209, 0.6791], phi:[0.4104]] | t^2.082 + t^2.306 + t^3. + t^3.156 + t^3.381 + 2*t^3.537 + t^3.694 + t^4.075 + t^4.163 + t^4.388 + t^4.612 + t^4.769 + t^5.082 + t^5.238 + t^5.306 + t^5.463 + t^5.619 + t^5.687 + t^5.776 + t^5.844 - t^6. - t^4.231/y - t^4.231*y | detail | |
| 3486 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6305 | 0.7796 | 0.8088 | [X:[1.6024], M:[0.8192, 1.2048, 0.7711, 1.1928, 0.3976, 0.8072, 0.8072], q:[0.3976, 0.7832], qb:[0.4096, 0.8192], phi:[0.3976]] | t^2.313 + 2*t^2.422 + t^2.458 + t^3.578 + 2*t^3.614 + 2*t^3.651 + t^4.627 + 2*t^4.735 + t^4.771 + t^4.807 + 3*t^4.843 + 2*t^4.879 + t^4.915 + t^5.892 + t^5.928 - t^6. - t^4.193/y - t^4.193*y | detail | |
| 3490 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{8}$ | 0.6521 | 0.8149 | 0.8003 | [X:[1.6135], M:[0.7821, 1.2269, 0.764, 1.1596, 0.3865, 0.8404, 0.7148, 0.8404], q:[0.4493, 0.7685], qb:[0.3911, 0.8449], phi:[0.3865]] | t^2.144 + t^2.292 + t^2.346 + 2*t^2.521 + t^3.506 + 2*t^3.681 + t^3.883 + t^4.289 + t^4.436 + t^4.491 + t^4.584 + t^4.638 + 2*t^4.666 + t^4.693 + 2*t^4.813 + t^4.84 + 2*t^4.868 + 3*t^5.042 + t^5.65 + t^5.825 + t^5.852 + t^5.973 - 3*t^6. - t^4.16/y - t^4.16*y | detail | |
| 3487 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{7}^{2}$ | 0.5847 | 0.7249 | 0.8065 | [X:[1.5852], M:[0.926, 1.1704, 0.7331, 1.2444, 0.4148, 0.7556, 1.0], q:[0.2926, 0.7813], qb:[0.463, 0.8039], phi:[0.4148]] | t^2.199 + t^2.267 + t^2.778 + t^3. + t^3.289 + 2*t^3.511 + t^3.733 + t^4.023 + t^4.399 + t^4.466 + t^4.534 + t^4.756 + t^4.977 + t^5.045 + t^5.199 + t^5.267 + 2*t^5.556 + t^5.711 + 2*t^5.778 + t^5.932 - t^6. - t^4.244/y - t^4.244*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1884 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ | 0.6183 | 0.7529 | 0.8212 | [X:[1.6154], M:[0.7932, 1.2309, 0.745, 1.1537, 0.3846, 0.8463], q:[0.4497, 0.757], qb:[0.3966, 0.8584], phi:[0.3846]] | t^2.235 + t^2.38 + t^2.539 + t^3.461 + t^3.533 + 2*t^3.693 + t^3.852 + t^3.924 + t^4.47 + t^4.615 + t^4.759 + t^4.774 + t^4.846 + t^4.919 + t^5.078 + t^5.696 + t^5.913 + t^5.928 - 2*t^6. - t^4.154/y - t^4.154*y | detail |