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 |
|---|---|---|---|---|---|---|---|---|---|
| 3977 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6701 | 0.8325 | 0.8049 | [X:[1.36], M:[1.0135, 1.0934, 1.1732, 0.9865, 0.64, 0.8268, 0.8268, 0.7469], q:[0.7733, 0.3999], qb:[0.5866, 0.4269], phi:[0.4533]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [-14], [-32]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{8}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.241 + 2*t^2.48 + t^2.959 + t^3.041 + t^3.28 + t^3.601 + t^3.84 + t^3.921 + t^4.08 + t^4.319 + t^4.4 + t^4.482 + 2*t^4.721 + t^4.88 + 3*t^4.961 + t^5.2 + t^5.281 + t^5.44 + 2*t^5.521 + 2*t^5.76 + t^5.842 - 2*t^6. + 3*t^6.081 + t^6.162 + 3*t^6.321 + 2*t^6.402 - t^6.479 + 2*t^6.56 + 2*t^6.641 + t^6.722 + 3*t^6.881 + 3*t^6.962 - t^7.039 + t^7.12 + 4*t^7.201 + t^7.36 + 5*t^7.441 + 2*t^7.522 + 2*t^7.681 + 3*t^7.762 - t^7.839 + t^7.843 + t^7.92 + 4*t^8.001 + t^8.082 + t^8.241 + 4*t^8.322 - t^8.399 + t^8.403 - 4*t^8.48 + 5*t^8.561 + 2*t^8.642 - 2*t^8.72 + 5*t^8.801 + 5*t^8.882 - 3*t^8.959 + t^8.963 - t^4.36/y - t^6.601/y - t^6.84/y + (2*t^7.721)/y + t^7.88/y + t^7.961/y + t^8.119/y + t^8.2/y + t^8.281/y + (2*t^8.44)/y + (3*t^8.521)/y + (2*t^8.76)/y - t^4.36*y - t^6.601*y - t^6.84*y + 2*t^7.721*y + t^7.88*y + t^7.961*y + t^8.119*y + t^8.2*y + t^8.281*y + 2*t^8.44*y + 3*t^8.521*y + 2*t^8.76*y | t^2.241/g1^32 + (2*t^2.48)/g1^14 + g1^22*t^2.959 + t^3.041/g1^22 + t^3.28/g1^4 + t^3.601/g1^30 + t^3.84/g1^12 + t^3.921/g1^56 + g1^6*t^4.08 + g1^24*t^4.319 + t^4.4/g1^20 + t^4.482/g1^64 + (2*t^4.721)/g1^46 + g1^16*t^4.88 + (3*t^4.961)/g1^28 + t^5.2/g1^10 + t^5.281/g1^54 + g1^8*t^5.44 + (2*t^5.521)/g1^36 + (2*t^5.76)/g1^18 + t^5.842/g1^62 - 2*t^6. + (3*t^6.081)/g1^44 + t^6.162/g1^88 + (3*t^6.321)/g1^26 + (2*t^6.402)/g1^70 - g1^36*t^6.479 + (2*t^6.56)/g1^8 + (2*t^6.641)/g1^52 + t^6.722/g1^96 + (3*t^6.881)/g1^34 + (3*t^6.962)/g1^78 - g1^28*t^7.039 + t^7.12/g1^16 + (4*t^7.201)/g1^60 + g1^2*t^7.36 + (5*t^7.441)/g1^42 + (2*t^7.522)/g1^86 + (2*t^7.681)/g1^24 + (3*t^7.762)/g1^68 - g1^38*t^7.839 + t^7.843/g1^112 + t^7.92/g1^6 + (4*t^8.001)/g1^50 + t^8.082/g1^94 + t^8.241/g1^32 + (4*t^8.322)/g1^76 - g1^30*t^8.399 + t^8.403/g1^120 - (4*t^8.48)/g1^14 + (5*t^8.561)/g1^58 + (2*t^8.642)/g1^102 - 2*g1^4*t^8.72 + (5*t^8.801)/g1^40 + (5*t^8.882)/g1^84 - 3*g1^22*t^8.959 + t^8.963/g1^128 - (g1^2*t^4.36)/y - t^6.601/(g1^30*y) - t^6.84/(g1^12*y) + (2*t^7.721)/(g1^46*y) + (g1^16*t^7.88)/y + t^7.961/(g1^28*y) + (g1^34*t^8.119)/y + t^8.2/(g1^10*y) + t^8.281/(g1^54*y) + (2*g1^8*t^8.44)/y + (3*t^8.521)/(g1^36*y) + (2*t^8.76)/(g1^18*y) - g1^2*t^4.36*y - (t^6.601*y)/g1^30 - (t^6.84*y)/g1^12 + (2*t^7.721*y)/g1^46 + g1^16*t^7.88*y + (t^7.961*y)/g1^28 + g1^34*t^8.119*y + (t^8.2*y)/g1^10 + (t^8.281*y)/g1^54 + 2*g1^8*t^8.44*y + (3*t^8.521*y)/g1^36 + (2*t^8.76*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5514 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{8}$ | 0.5733 | 0.701 | 0.8178 | [X:[1.3043], M:[1.2174, 1.1304, 1.0435, 0.7826, 0.6957, 0.9565, 0.9565, 1.0435], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | t^2.348 + 2*t^2.87 + t^3.13 + t^3.391 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.435 + t^4.957 + t^5.217 + t^5.478 + 3*t^5.739 - t^4.304/y - t^4.304*y | detail | {a: 111603/194672, c: 68233/97336, X1: 30/23, M1: 28/23, M2: 26/23, M3: 24/23, M4: 18/23, M5: 16/23, M6: 22/23, M7: 22/23, M8: 24/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
| 5522 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6902 | 0.8698 | 0.7935 | [X:[1.3592], M:[1.0162, 1.0939, 1.1715, 0.9838, 0.6408, 0.8285, 0.8285, 0.7508, 0.7184], q:[0.7735, 0.3981], qb:[0.5858, 0.4304], phi:[0.4531]] | t^2.155 + t^2.252 + 2*t^2.485 + t^2.951 + t^3.049 + t^3.282 + t^3.612 + t^3.942 + t^4.078 + 2*t^4.311 + 2*t^4.408 + t^4.505 + 2*t^4.641 + 2*t^4.738 + t^4.874 + 3*t^4.971 + t^5.107 + 2*t^5.204 + t^5.301 + 2*t^5.437 + 2*t^5.534 + 3*t^5.767 + t^5.864 - 2*t^6. - t^4.359/y - t^4.359*y | detail | |
| 5523 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6908 | 0.8724 | 0.7918 | [X:[1.3588], M:[1.0176, 1.0941, 1.1706, 0.9824, 0.6412, 0.8294, 0.8294, 0.7528, 0.6825], q:[0.7735, 0.3971], qb:[0.5853, 0.4323], phi:[0.4529]] | t^2.048 + t^2.259 + 2*t^2.488 + t^2.947 + t^3.053 + t^3.282 + t^3.617 + t^3.847 + t^4.077 + t^4.095 + 2*t^4.306 + t^4.412 + t^4.517 + 2*t^4.536 + 2*t^4.747 + t^4.871 + 3*t^4.976 + t^4.995 + t^5.1 + t^5.206 + t^5.311 + t^5.33 + t^5.435 + 2*t^5.541 + t^5.665 + 2*t^5.77 + t^5.876 + t^5.895 - 2*t^6. - t^4.359/y - t^4.359*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1595 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{3}M_{7}$ | 0.6513 | 0.7969 | 0.8172 | [X:[1.3565], M:[1.0262, 1.0957, 1.1651, 0.9738, 0.6435, 0.8349, 0.8349], q:[0.7739, 0.3912], qb:[0.5826, 0.4437], phi:[0.4522]] | 2*t^2.505 + t^2.921 + t^3.079 + t^3.287 + t^3.653 + t^3.704 + t^3.861 + t^4.019 + t^4.069 + t^4.278 + t^4.435 + t^4.852 + 3*t^5.009 + t^5.426 + t^5.583 + 2*t^5.792 - 2*t^6. - t^4.356/y - t^4.356*y | detail |