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 |
|---|---|---|---|---|---|---|---|---|---|
| 52003 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7048 | 0.8677 | 0.8122 | [M:[0.9391, 1.0609, 1.0, 0.8782, 0.9086, 1.0305], q:[0.5152, 0.5457], qb:[0.4239, 0.5761], phi:[0.4848]] | [M:[[-4], [4], [0], [-8], [-6], [2]], q:[[1], [3]], qb:[[-5], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -1 | t^2.635 + t^2.726 + t^2.817 + t^2.909 + t^3. + t^3.091 + t^3.183 + t^3.997 + t^4.272 + t^4.363 + t^4.454 + t^4.546 + t^4.637 + 2*t^4.728 + t^4.82 + t^4.911 + t^5.269 + t^5.36 + 2*t^5.452 + t^5.543 + 2*t^5.635 + 2*t^5.726 + 3*t^5.817 + t^5.909 - t^6. - t^6.457 + t^6.632 + t^6.723 + t^6.815 + 2*t^6.906 + 2*t^6.997 + 2*t^7.089 + 3*t^7.18 + 3*t^7.272 + 3*t^7.363 + 3*t^7.454 + 3*t^7.546 + 2*t^7.637 + 2*t^7.728 + t^7.82 + t^7.904 + t^7.911 + 2*t^7.995 + 2*t^8.086 + 2*t^8.178 + 3*t^8.269 + 3*t^8.36 + 4*t^8.452 + 3*t^8.543 + t^8.726 - t^8.817 - t^8.909 - t^4.454/y - t^7.089/y - t^7.18/y + t^7.728/y + t^7.82/y + t^8.36/y + t^8.452/y + (2*t^8.543)/y + (2*t^8.635)/y + (3*t^8.726)/y + (3*t^8.817)/y + (3*t^8.909)/y - t^4.454*y - t^7.089*y - t^7.18*y + t^7.728*y + t^7.82*y + t^8.36*y + t^8.452*y + 2*t^8.543*y + 2*t^8.635*y + 3*t^8.726*y + 3*t^8.817*y + 3*t^8.909*y | t^2.635/g1^8 + t^2.726/g1^6 + t^2.817/g1^4 + t^2.909/g1^2 + t^3. + g1^2*t^3.091 + g1^4*t^3.183 + t^3.997/g1^11 + t^4.272/g1^5 + t^4.363/g1^3 + t^4.454/g1 + g1*t^4.546 + g1^3*t^4.637 + 2*g1^5*t^4.728 + g1^7*t^4.82 + g1^9*t^4.911 + t^5.269/g1^16 + t^5.36/g1^14 + (2*t^5.452)/g1^12 + t^5.543/g1^10 + (2*t^5.635)/g1^8 + (2*t^5.726)/g1^6 + (3*t^5.817)/g1^4 + t^5.909/g1^2 - t^6. - g1^10*t^6.457 + t^6.632/g1^19 + t^6.723/g1^17 + t^6.815/g1^15 + (2*t^6.906)/g1^13 + (2*t^6.997)/g1^11 + (2*t^7.089)/g1^9 + (3*t^7.18)/g1^7 + (3*t^7.272)/g1^5 + (3*t^7.363)/g1^3 + (3*t^7.454)/g1 + 3*g1*t^7.546 + 2*g1^3*t^7.637 + 2*g1^5*t^7.728 + g1^7*t^7.82 + t^7.904/g1^24 + g1^9*t^7.911 + (2*t^7.995)/g1^22 + (2*t^8.086)/g1^20 + (2*t^8.178)/g1^18 + (3*t^8.269)/g1^16 + (3*t^8.36)/g1^14 + (4*t^8.452)/g1^12 + (3*t^8.543)/g1^10 + t^8.726/g1^6 - t^8.817/g1^4 - t^8.909/g1^2 - t^4.454/(g1*y) - t^7.089/(g1^9*y) - t^7.18/(g1^7*y) + (g1^5*t^7.728)/y + (g1^7*t^7.82)/y + t^8.36/(g1^14*y) + t^8.452/(g1^12*y) + (2*t^8.543)/(g1^10*y) + (2*t^8.635)/(g1^8*y) + (3*t^8.726)/(g1^6*y) + (3*t^8.817)/(g1^4*y) + (3*t^8.909)/(g1^2*y) - (t^4.454*y)/g1 - (t^7.089*y)/g1^9 - (t^7.18*y)/g1^7 + g1^5*t^7.728*y + g1^7*t^7.82*y + (t^8.36*y)/g1^14 + (t^8.452*y)/g1^12 + (2*t^8.543*y)/g1^10 + (2*t^8.635*y)/g1^8 + (3*t^8.726*y)/g1^6 + (3*t^8.817*y)/g1^4 + (3*t^8.909*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 |
|---|---|---|---|---|---|---|---|---|
| 56391 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6997 | 0.8582 | 0.8153 | [M:[0.9514, 1.0486, 1.0, 0.9028, 0.9271, 1.0243, 1.0486], q:[0.5121, 0.5364], qb:[0.4393, 0.5607], phi:[0.4879]] | t^2.708 + t^2.781 + t^2.927 + t^3. + t^3.073 + 2*t^3.146 + t^4.099 + t^4.318 + t^4.391 + t^4.464 + t^4.536 + t^4.609 + 2*t^4.682 + t^4.755 + t^4.828 + t^5.417 + t^5.49 + t^5.563 + t^5.708 + t^5.781 + 3*t^5.854 + t^5.927 - 2*t^6. - t^4.464/y - t^4.464*y | detail | |
| 56393 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.7109 | 0.8797 | 0.8082 | [M:[0.9274, 1.0726, 1.0, 0.8549, 0.8911, 1.0363, 0.9274], q:[0.5181, 0.5544], qb:[0.4093, 0.5907], phi:[0.4819]] | t^2.565 + t^2.673 + 2*t^2.782 + t^2.891 + t^3. + t^3.109 + t^3.901 + t^4.228 + t^4.337 + t^4.446 + t^4.554 + t^4.663 + 2*t^4.772 + t^4.881 + t^4.99 + t^5.129 + t^5.238 + 3*t^5.347 + 2*t^5.456 + 4*t^5.565 + 3*t^5.673 + 3*t^5.782 + t^5.891 - 2*t^6. - t^4.446/y - t^4.446*y | detail | |
| 56392 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.7021 | 0.8626 | 0.8139 | [M:[0.9453, 1.0547, 1.0, 0.8906, 0.9179, 1.0274, 1.0274], q:[0.5137, 0.541], qb:[0.4316, 0.5684], phi:[0.4863]] | t^2.672 + t^2.754 + t^2.836 + t^3. + 2*t^3.082 + t^3.164 + t^4.049 + t^4.295 + t^4.377 + t^4.459 + t^4.541 + t^4.623 + 2*t^4.705 + t^4.787 + t^4.869 + t^5.343 + t^5.426 + 2*t^5.508 + t^5.672 + 2*t^5.754 + 3*t^5.836 + t^5.918 - 2*t^6. - t^4.459/y - t^4.459*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46886 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ | 0.7097 | 0.8751 | 0.811 | [M:[0.9161, 1.0839, 1.0, 0.8322, 0.9631, 0.953], q:[0.4765, 0.6074], qb:[0.4396, 0.5604], phi:[0.479]] | t^2.497 + t^2.748 + t^2.859 + t^2.874 + t^2.889 + t^3. + t^3.252 + t^4.075 + t^4.185 + t^4.296 + t^4.437 + t^4.548 + t^4.578 + t^4.689 + t^4.799 + t^4.94 + t^4.993 + t^5.081 + t^5.245 + t^5.356 + t^5.371 + t^5.386 + t^5.497 + t^5.623 + t^5.718 + t^5.733 + 3*t^5.748 + t^5.764 + t^5.779 + t^5.874 - 2*t^6. - t^4.437/y - t^4.437*y | detail |