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 |
|---|---|---|---|---|---|---|---|---|---|
| 2105 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6038 | 0.7739 | 0.7802 | [M:[1.0166, 0.6882, 0.9834, 0.7214, 1.2786, 0.7214], q:[0.6393, 0.3441], qb:[0.3773, 0.9345], phi:[0.4262]] | [M:[[14], [-22], [-14], [6], [-6], [6]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -1 | t^2.065 + 2*t^2.164 + t^2.557 + t^2.95 + t^3.05 + t^3.343 + t^3.443 + t^3.542 + t^4.129 + 2*t^4.229 + 3*t^4.328 + t^4.622 + 3*t^4.721 + t^5.015 + 4*t^5.114 + 2*t^5.214 + t^5.408 + 3*t^5.507 + 3*t^5.607 + 2*t^5.707 + t^5.9 - t^6. + t^6.1 + t^6.194 + 3*t^6.293 + 3*t^6.393 + 4*t^6.493 + t^6.592 + 2*t^6.686 + 2*t^6.786 + 3*t^6.886 + t^7.079 + t^7.085 + 3*t^7.179 + 5*t^7.279 + t^7.378 + t^7.472 + 3*t^7.572 + 6*t^7.672 + 4*t^7.771 + 3*t^7.871 + t^7.965 + t^8.065 - 2*t^8.164 + t^8.258 + 2*t^8.264 + 3*t^8.358 + 5*t^8.458 + t^8.557 + 5*t^8.657 + 2*t^8.751 + 2*t^8.756 + 4*t^8.851 - 2*t^8.95 - t^4.279/y - t^6.343/y - t^6.443/y - t^6.836/y + (2*t^7.229)/y + t^7.328/y + t^7.622/y + (3*t^7.721)/y + t^8.015/y + (4*t^8.114)/y + (3*t^8.214)/y + (3*t^8.507)/y + (3*t^8.607)/y + (2*t^8.707)/y - t^4.279*y - t^6.343*y - t^6.443*y - t^6.836*y + 2*t^7.229*y + t^7.328*y + t^7.622*y + 3*t^7.721*y + t^8.015*y + 4*t^8.114*y + 3*t^8.214*y + 3*t^8.507*y + 3*t^8.607*y + 2*t^8.707*y | t^2.065/g1^22 + 2*g1^6*t^2.164 + t^2.557/g1^4 + t^2.95/g1^14 + g1^14*t^3.05 + t^3.343/g1^24 + g1^4*t^3.443 + g1^32*t^3.542 + t^4.129/g1^44 + (2*t^4.229)/g1^16 + 3*g1^12*t^4.328 + t^4.622/g1^26 + 3*g1^2*t^4.721 + t^5.015/g1^36 + (4*t^5.114)/g1^8 + 2*g1^20*t^5.214 + t^5.408/g1^46 + (3*t^5.507)/g1^18 + 3*g1^10*t^5.607 + 2*g1^38*t^5.707 + t^5.9/g1^28 - t^6. + g1^28*t^6.1 + t^6.194/g1^66 + (3*t^6.293)/g1^38 + (3*t^6.393)/g1^10 + 4*g1^18*t^6.493 + g1^46*t^6.592 + (2*t^6.686)/g1^48 + (2*t^6.786)/g1^20 + 3*g1^8*t^6.886 + t^7.079/g1^58 + g1^64*t^7.085 + (3*t^7.179)/g1^30 + (5*t^7.279)/g1^2 + g1^26*t^7.378 + t^7.472/g1^68 + (3*t^7.572)/g1^40 + (6*t^7.672)/g1^12 + 4*g1^16*t^7.771 + 3*g1^44*t^7.871 + t^7.965/g1^50 + t^8.065/g1^22 - 2*g1^6*t^8.164 + t^8.258/g1^88 + 2*g1^34*t^8.264 + (3*t^8.358)/g1^60 + (5*t^8.458)/g1^32 + t^8.557/g1^4 + 5*g1^24*t^8.657 + (2*t^8.751)/g1^70 + 2*g1^52*t^8.756 + (4*t^8.851)/g1^42 - (2*t^8.95)/g1^14 - t^4.279/(g1^2*y) - t^6.343/(g1^24*y) - (g1^4*t^6.443)/y - t^6.836/(g1^6*y) + (2*t^7.229)/(g1^16*y) + (g1^12*t^7.328)/y + t^7.622/(g1^26*y) + (3*g1^2*t^7.721)/y + t^8.015/(g1^36*y) + (4*t^8.114)/(g1^8*y) + (3*g1^20*t^8.214)/y + (3*t^8.507)/(g1^18*y) + (3*g1^10*t^8.607)/y + (2*g1^38*t^8.707)/y - (t^4.279*y)/g1^2 - (t^6.343*y)/g1^24 - g1^4*t^6.443*y - (t^6.836*y)/g1^6 + (2*t^7.229*y)/g1^16 + g1^12*t^7.328*y + (t^7.622*y)/g1^26 + 3*g1^2*t^7.721*y + (t^8.015*y)/g1^36 + (4*t^8.114*y)/g1^8 + 3*g1^20*t^8.214*y + (3*t^8.507*y)/g1^18 + 3*g1^10*t^8.607*y + 2*g1^38*t^8.707*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 |
|---|---|---|---|---|---|---|---|---|
| 3197 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.593 | 0.7615 | 0.7788 | [M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043, 0.6957], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | 2*t^2.087 + t^2.348 + t^2.609 + t^2.87 + 2*t^3.13 + t^3.391 + t^3.652 + 3*t^4.174 + 2*t^4.435 + 4*t^4.696 + 3*t^4.957 + 6*t^5.217 + 4*t^5.478 + 4*t^5.739 + t^6. - t^4.304/y - t^4.304*y | detail | {a: 57723/97336, c: 37061/48668, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, M6: 16/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, phi1: 10/23} |
| 3198 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6167 | 0.7962 | 0.7746 | [M:[1.0202, 0.6826, 0.9798, 0.7229, 1.2771, 0.7229, 0.8514], q:[0.6385, 0.3413], qb:[0.3816, 0.9358], phi:[0.4257]] | t^2.048 + 2*t^2.169 + 2*t^2.554 + t^2.939 + t^3.061 + t^3.325 + t^3.567 + t^4.096 + 2*t^4.217 + 3*t^4.338 + 2*t^4.602 + 5*t^4.723 + t^4.987 + 6*t^5.108 + 2*t^5.229 + t^5.373 + 3*t^5.494 + 2*t^5.615 + 2*t^5.736 + 2*t^5.879 - 2*t^6. - t^4.277/y - t^4.277*y | detail | |
| 3199 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6156 | 0.7946 | 0.7748 | [M:[0.9952, 0.7218, 1.0048, 0.7122, 1.2878, 0.7122, 0.8489], q:[0.6439, 0.3609], qb:[0.3513, 0.9269], phi:[0.4293]] | 2*t^2.137 + t^2.165 + t^2.547 + t^2.576 + t^2.986 + t^3.014 + t^3.396 + t^3.424 + 3*t^4.273 + 2*t^4.302 + t^4.331 + 2*t^4.684 + 4*t^4.712 + t^4.741 + t^5.094 + 3*t^5.122 + 4*t^5.151 + t^5.18 + 3*t^5.532 + 4*t^5.561 + t^5.59 + t^5.943 + 2*t^5.971 - t^6. - t^4.288/y - t^4.288*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 |
|---|---|---|---|---|---|---|---|---|---|
| 993 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ | 0.7055 | 0.8657 | 0.8149 | [M:[1.0376, 0.878, 0.9624, 0.9531, 1.0469, 0.9531], q:[0.5235, 0.439], qb:[0.5141, 0.6079], phi:[0.4789]] | t^2.634 + 2*t^2.859 + t^2.873 + t^2.887 + t^3.113 + t^3.394 + t^4.071 + t^4.296 + t^4.324 + t^4.521 + t^4.549 + 2*t^4.577 + t^4.803 + t^4.831 + t^5.084 + t^5.268 + t^5.493 + t^5.507 + t^5.521 + 2*t^5.719 + 2*t^5.733 + 2*t^5.747 + t^5.761 + t^5.972 + t^5.986 - 3*t^6. - t^4.437/y - t^4.437*y | detail |