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 |
|---|---|---|---|---|---|---|---|---|---|
| 2645 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7 | 0.8875 | 0.7887 | [M:[0.9506, 0.8137, 0.9506, 0.8137, 1.1863, 0.7452, 0.7452], q:[0.6426, 0.4068], qb:[0.4068, 0.7795], phi:[0.4411]] | [M:[[-22], [-2], [-22], [-2], [2], [8], [8]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$ | ${}M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$ | -1 | 2*t^2.236 + 2*t^2.441 + t^2.646 + 2*t^2.852 + t^3.559 + t^3.764 + t^4.266 + 5*t^4.471 + 4*t^4.677 + 5*t^4.882 + 6*t^5.087 + t^5.179 + 3*t^5.293 + 2*t^5.498 + 3*t^5.704 + 2*t^5.795 - t^6. + t^6.205 + 2*t^6.411 + 2*t^6.502 + 7*t^6.707 + 8*t^6.913 + 9*t^7.118 + 13*t^7.323 + 2*t^7.414 + 9*t^7.529 + t^7.62 + 8*t^7.734 + 9*t^7.939 + 2*t^8.03 + 5*t^8.145 - 5*t^8.236 + 3*t^8.35 - 5*t^8.441 + 4*t^8.555 + 4*t^8.738 - 6*t^8.852 + 9*t^8.943 - t^4.323/y - (2*t^6.559)/y - t^6.764/y - t^6.97/y - (2*t^7.175)/y + (3*t^7.471)/y + (5*t^7.677)/y + (4*t^7.882)/y + (8*t^8.087)/y + (4*t^8.293)/y + (2*t^8.498)/y + t^8.704/y - t^8.795/y - t^4.323*y - 2*t^6.559*y - t^6.764*y - t^6.97*y - 2*t^7.175*y + 3*t^7.471*y + 5*t^7.677*y + 4*t^7.882*y + 8*t^8.087*y + 4*t^8.293*y + 2*t^8.498*y + t^8.704*y - t^8.795*y | 2*g1^8*t^2.236 + (2*t^2.441)/g1^2 + t^2.646/g1^12 + (2*t^2.852)/g1^22 + g1^2*t^3.559 + t^3.764/g1^8 + g1^26*t^4.266 + 5*g1^16*t^4.471 + 4*g1^6*t^4.677 + (5*t^4.882)/g1^4 + (6*t^5.087)/g1^14 + g1^40*t^5.179 + (3*t^5.293)/g1^24 + (2*t^5.498)/g1^34 + (3*t^5.704)/g1^44 + 2*g1^10*t^5.795 - t^6. + t^6.205/g1^10 + (2*t^6.411)/g1^20 + 2*g1^34*t^6.502 + 7*g1^24*t^6.707 + 8*g1^14*t^6.913 + 9*g1^4*t^7.118 + (13*t^7.323)/g1^6 + 2*g1^48*t^7.414 + (9*t^7.529)/g1^16 + g1^38*t^7.62 + (8*t^7.734)/g1^26 + (9*t^7.939)/g1^36 + 2*g1^18*t^8.03 + (5*t^8.145)/g1^46 - 5*g1^8*t^8.236 + (3*t^8.35)/g1^56 - (5*t^8.441)/g1^2 + (4*t^8.555)/g1^66 + 4*g1^42*t^8.738 - (6*t^8.852)/g1^22 + 9*g1^32*t^8.943 - t^4.323/(g1^6*y) - (2*g1^2*t^6.559)/y - t^6.764/(g1^8*y) - t^6.97/(g1^18*y) - (2*t^7.175)/(g1^28*y) + (3*g1^16*t^7.471)/y + (5*g1^6*t^7.677)/y + (4*t^7.882)/(g1^4*y) + (8*t^8.087)/(g1^14*y) + (4*t^8.293)/(g1^24*y) + (2*t^8.498)/(g1^34*y) + t^8.704/(g1^44*y) - (g1^10*t^8.795)/y - (t^4.323*y)/g1^6 - 2*g1^2*t^6.559*y - (t^6.764*y)/g1^8 - (t^6.97*y)/g1^18 - (2*t^7.175*y)/g1^28 + 3*g1^16*t^7.471*y + 5*g1^6*t^7.677*y + (4*t^7.882*y)/g1^4 + (8*t^8.087*y)/g1^14 + (4*t^8.293*y)/g1^24 + (2*t^8.498*y)/g1^34 + (t^8.704*y)/g1^44 - g1^10*t^8.795*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 |
|---|---|---|---|---|---|---|---|---|
| 4772 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{8}$ | 0.6977 | 0.8853 | 0.7881 | [M:[1.0013, 0.8183, 1.0013, 0.8183, 1.1817, 0.7268, 0.7268, 0.9987], q:[0.5895, 0.4092], qb:[0.4092, 0.7725], phi:[0.4549]] | 2*t^2.18 + 2*t^2.455 + t^2.729 + t^2.996 + t^3.004 + t^3.545 + t^3.82 + t^4.086 + 5*t^4.361 + 4*t^4.635 + t^4.902 + 5*t^4.91 + 2*t^5.176 + 4*t^5.184 + 2*t^5.451 + t^5.459 + 3*t^5.725 + t^5.733 + t^5.992 - t^4.365/y - t^4.365*y | detail | {a: 52048525/74596056, c: 8255182/9324507, M1: 5296/5289, M2: 4328/5289, M3: 5296/5289, M4: 4328/5289, M5: 6250/5289, M6: 3844/5289, M7: 3844/5289, M8: 5282/5289, q1: 3118/5289, q2: 2164/5289, qb1: 2164/5289, qb2: 1362/1763, phi1: 802/1763} |
| 4767 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6843 | 0.8602 | 0.7955 | [M:[0.9538, 0.814, 0.9538, 0.814, 1.186, 0.7441, 0.7441, 1.186], q:[0.6392, 0.407], qb:[0.407, 0.779], phi:[0.4419]] | 2*t^2.232 + t^2.442 + t^2.652 + 2*t^2.861 + 2*t^3.558 + t^3.768 + t^4.255 + 5*t^4.464 + 2*t^4.674 + 3*t^4.884 + 5*t^5.094 + t^5.161 + t^5.303 + 2*t^5.513 + 3*t^5.723 + 4*t^5.79 - t^6. - t^4.326/y - t^4.326*y | detail | |
| 4773 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.7156 | 0.9148 | 0.7823 | [M:[0.9474, 0.8134, 0.9474, 0.8134, 1.1866, 0.7464, 0.7464, 0.8134], q:[0.6459, 0.4067], qb:[0.4067, 0.7799], phi:[0.4402]] | 2*t^2.239 + 3*t^2.44 + t^2.641 + 2*t^2.842 + t^3.761 + t^4.277 + 5*t^4.478 + 6*t^4.679 + 8*t^4.88 + 7*t^5.081 + t^5.196 + 5*t^5.282 + 2*t^5.483 + 3*t^5.684 - 3*t^6. - t^4.321/y - t^4.321*y | detail | |
| 4774 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7193 | 0.9229 | 0.7794 | [M:[0.9581, 0.8144, 0.9581, 0.8144, 1.1856, 0.7425, 0.7425, 0.7425], q:[0.6347, 0.4072], qb:[0.4072, 0.7784], phi:[0.4431]] | 3*t^2.228 + 2*t^2.443 + t^2.659 + 2*t^2.874 + t^3.557 + t^4.24 + 8*t^4.455 + 6*t^4.671 + 6*t^4.886 + 8*t^5.102 + t^5.138 + 3*t^5.317 + 2*t^5.533 + 3*t^5.748 + 3*t^5.784 - 3*t^6. - t^4.329/y - t^4.329*y | detail | |
| 4771 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.69 | 0.8709 | 0.7922 | [M:[0.9757, 0.816, 0.9757, 0.816, 1.184, 0.7361, 0.7361, 1.1042], q:[0.6164, 0.408], qb:[0.408, 0.776], phi:[0.4479]] | 2*t^2.208 + 2*t^2.448 + 2*t^2.927 + t^3.313 + t^3.552 + t^3.792 + t^4.177 + 5*t^4.417 + 4*t^4.656 + 3*t^4.896 + t^5.042 + 4*t^5.135 + 2*t^5.375 + 2*t^5.521 + 4*t^5.76 + 3*t^5.854 - t^6. - t^4.344/y - t^4.344*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1551 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ | 0.6808 | 0.8526 | 0.7985 | [M:[0.9426, 0.813, 0.9426, 0.813, 1.187, 0.7481], q:[0.6509, 0.4065], qb:[0.4065, 0.7806], phi:[0.4389]] | t^2.244 + 2*t^2.439 + t^2.633 + 2*t^2.828 + t^3.561 + 2*t^3.756 + t^4.294 + 3*t^4.489 + 2*t^4.683 + 4*t^4.878 + 4*t^5.072 + t^5.222 + 3*t^5.267 + 2*t^5.461 + 3*t^5.656 + t^5.806 - t^6. - t^4.317/y - t^4.317*y | detail |