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 |
|---|---|---|---|---|---|---|---|---|---|
| 47025 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6388 | 0.7919 | 0.8066 | [M:[1.147, 0.7449, 0.853, 0.7844, 1.2353, 0.696], q:[0.3922, 0.4608], qb:[0.8629, 0.7548], phi:[0.3823]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [2, 2], [-11, -13]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$ | ${}$ | -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 | t^2.088/(g1^11*g2^13) + g1^2*g2^4*t^2.235 + t^2.353/(g1^6*g2^8) + g1^3*g2^3*t^2.559 + t^3.441/(g1^3*g2^3) + t^3.5/(g1^7*g2^9) + 2*g1^2*g2^2*t^3.706 + g1^7*g2^7*t^3.971 + t^4.176/(g1^22*g2^26) + t^4.323/(g1^9*g2^9) + t^4.441/(g1^17*g2^21) + g1^4*g2^8*t^4.469 + t^4.588/(g1^4*g2^4) + t^4.647/(g1^8*g2^10) + t^4.707/(g1^12*g2^16) + g1^5*g2^7*t^4.794 + g1*g2*t^4.853 + t^4.912/(g1^3*g2^5) + g1^6*g2^6*t^5.118 + t^5.529/(g1^14*g2^16) + t^5.588/(g1^18*g2^22) + (g2*t^5.676)/g1 + (2*t^5.794)/(g1^9*g2^11) + t^5.854/(g1^13*g2^17) + g1^4*g2^6*t^5.941 - 2*t^6. + (3*t^6.059)/(g1^4*g2^6) + t^6.264/(g1^33*g2^39) + g1^5*g2^5*t^6.265 + (g1*t^6.324)/g2 + t^6.411/(g1^20*g2^22) + t^6.53/(g1^28*g2^34) + g1^10*g2^10*t^6.53 + t^6.557/(g1^7*g2^5) + t^6.676/(g1^15*g2^17) + g1^6*g2^12*t^6.704 + t^6.735/(g1^19*g2^23) + t^6.795/(g1^23*g2^29) + t^6.823/g1^2 + t^6.882/(g1^6*g2^6) + (2*t^6.941)/(g1^10*g2^12) + (2*t^7.)/(g1^14*g2^18) + g1^7*g2^11*t^7.028 + t^7.06/(g1^18*g2^24) + (2*t^7.206)/(g1^5*g2^7) + t^7.266/(g1^9*g2^13) - g1^8*g2^10*t^7.353 + g1^4*g2^4*t^7.412 + t^7.471/g2^2 + t^7.617/(g1^25*g2^29) - g1^13*g2^15*t^7.618 + t^7.677/(g1^29*g2^35) + 2*g1^9*g2^9*t^7.677 + t^7.764/(g1^12*g2^12) + (2*t^7.882)/(g1^20*g2^24) + g1*g2^5*t^7.91 + t^7.942/(g1^24*g2^30) + g1^14*g2^14*t^7.942 + t^8.029/(g1^7*g2^7) - (2*t^8.088)/(g1^11*g2^13) + (3*t^8.147)/(g1^15*g2^19) + g1^6*g2^10*t^8.175 + t^8.207/(g1^19*g2^25) - 2*g1^2*g2^4*t^8.235 + t^8.294/(g1^2*g2^2) + t^8.353/(g1^44*g2^52) - (2*t^8.353)/(g1^6*g2^8) + (3*t^8.413)/(g1^10*g2^14) + t^8.499/(g1^31*g2^35) - g1^7*g2^9*t^8.5 - 2*g1^3*g2^3*t^8.559 + t^8.618/(g1^39*g2^47) + t^8.618/(g1*g2^3) + t^8.646/(g1^18*g2^18) + t^8.678/(g1^5*g2^9) + t^8.764/(g1^26*g2^30) - g1^12*g2^14*t^8.765 + t^8.792/(g1^5*g2) + t^8.824/(g1^30*g2^36) + g1^8*g2^8*t^8.824 + t^8.883/(g1^34*g2^42) + g1^4*g2^2*t^8.884 + t^8.911/(g1^13*g2^13) + g1^8*g2^16*t^8.939 + t^8.97/(g1^17*g2^19) - t^4.147/(g1*g2*y) - t^6.235/(g1^12*g2^14*y) - (g1*g2^3*t^6.382)/y - t^6.5/(g1^7*g2^9*y) + t^7.323/(g1^9*g2^9*y) + t^7.441/(g1^17*g2^21*y) + t^7.588/(g1^4*g2^4*y) + t^7.647/(g1^8*g2^10*y) + (2*g1^5*g2^7*t^7.794)/y + (2*t^7.912)/(g1^3*g2^5*y) + (g1^10*g2^12*t^8.059)/y - t^8.323/(g1^23*g2^27*y) - t^8.47/(g1^10*g2^10*y) + t^8.529/(g1^14*g2^16*y) - (g1^3*g2^7*t^8.616)/y + (g2*t^8.676)/(g1*y) + (3*t^8.794)/(g1^9*g2^11*y) + (2*g1^4*g2^6*t^8.941)/y - (t^4.147*y)/(g1*g2) - (t^6.235*y)/(g1^12*g2^14) - g1*g2^3*t^6.382*y - (t^6.5*y)/(g1^7*g2^9) + (t^7.323*y)/(g1^9*g2^9) + (t^7.441*y)/(g1^17*g2^21) + (t^7.588*y)/(g1^4*g2^4) + (t^7.647*y)/(g1^8*g2^10) + 2*g1^5*g2^7*t^7.794*y + (2*t^7.912*y)/(g1^3*g2^5) + g1^10*g2^12*t^8.059*y - (t^8.323*y)/(g1^23*g2^27) - (t^8.47*y)/(g1^10*g2^10) + (t^8.529*y)/(g1^14*g2^16) - g1^3*g2^7*t^8.616*y + (g2*t^8.676*y)/g1 + (3*t^8.794*y)/(g1^9*g2^11) + 2*g1^4*g2^6*t^8.941*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 |
|---|---|---|---|---|---|---|---|---|
| 50851 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6305 | 0.7796 | 0.8088 | [M:[1.1928, 0.7711, 0.8072, 0.8192, 1.2048, 0.8072], q:[0.4096, 0.3976], qb:[0.8192, 0.7832], 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 | |
| 52586 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6521 | 0.8149 | 0.8003 | [M:[1.1596, 0.764, 0.8404, 0.7821, 1.2269, 0.7148, 0.8404], q:[0.3911, 0.4493], qb:[0.8449, 0.7685], 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 | |
| 50965 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.622 | 0.7618 | 0.8165 | [M:[1.1452, 0.7178, 0.8548, 0.8091, 1.2365, 0.7178, 1.1909], q:[0.4046, 0.4502], qb:[0.8777, 0.7406], 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 | |
| 55348 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.638 | 0.7896 | 0.8079 | [M:[1.147, 0.7205, 0.853, 0.8088, 1.2353, 0.7205], q:[0.4044, 0.4486], qb:[0.8751, 0.7426], phi:[0.3823]] | 2*t^2.162 + t^2.426 + t^2.559 + t^3.441 + t^3.574 + 2*t^3.706 + t^3.971 + 3*t^4.323 + 2*t^4.588 + 2*t^4.721 + 2*t^4.853 + t^4.985 + t^5.118 + 2*t^5.603 + t^5.735 + 3*t^5.868 - t^6. - t^4.147/y - t^4.147*y | detail | |
| 50917 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ | 0.5847 | 0.7249 | 0.8065 | [M:[1.2444, 0.7331, 0.7556, 0.926, 1.1704, 1.0], q:[0.463, 0.2926], qb:[0.8039, 0.7813], 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 | |
| 55365 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6596 | 0.8332 | 0.7916 | [M:[1.1456, 0.7427, 0.8544, 0.7847, 1.2363, 0.6939, 0.673], q:[0.3923, 0.4621], qb:[0.8649, 0.7532], phi:[0.3819]] | t^2.019 + t^2.082 + t^2.228 + t^2.354 + t^2.563 + t^3.437 + t^3.5 + 2*t^3.709 + t^4.038 + t^4.101 + t^4.164 + t^4.247 + t^4.31 + t^4.373 + t^4.436 + t^4.456 + 2*t^4.582 + t^4.645 + t^4.708 + t^4.792 + t^4.854 + t^4.917 + t^5.127 + t^5.456 + 2*t^5.518 + t^5.581 + t^5.665 + 2*t^5.728 + 2*t^5.791 + t^5.854 + t^5.937 - 2*t^6. - t^4.146/y - t^4.146*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46470 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6183 | 0.7529 | 0.8212 | [M:[1.1537, 0.745, 0.8463, 0.7932, 1.2309], q:[0.3966, 0.4497], qb:[0.8584, 0.757], 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 |