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 |
|---|---|---|---|---|---|---|---|---|---|
| 2608 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6586 | 0.8288 | 0.7947 | [M:[1.0747, 0.8672, 1.1328, 0.8091, 1.1909, 0.7635, 0.8672], q:[0.4917, 0.4336], qb:[0.3755, 0.7573], phi:[0.4855]] | [M:[[-38], [14], [-14], [-10], [10], [40], [14]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{6}$ | ${}$ | -2 | t^2.29 + t^2.427 + 2*t^2.602 + t^2.913 + t^3.224 + t^3.573 + t^3.747 + t^3.884 + 2*t^4.058 + t^4.232 + t^4.407 + t^4.581 + t^4.718 + t^4.855 + 2*t^4.892 + 2*t^5.029 + 4*t^5.203 + t^5.34 + 3*t^5.515 + t^5.826 + t^5.863 - 2*t^6. + t^6.037 + t^6.137 + t^6.174 + 3*t^6.349 + t^6.448 + 3*t^6.485 + t^6.523 + 4*t^6.66 + t^6.697 + 2*t^6.834 + t^6.871 + t^6.971 + 3*t^7.008 + 2*t^7.183 + 3*t^7.32 + 4*t^7.494 + 4*t^7.631 + t^7.768 + 7*t^7.805 + 2*t^7.942 + t^7.979 + 5*t^8.116 + 2*t^8.154 - t^8.253 - t^8.29 + t^8.328 + 3*t^8.465 - 6*t^8.602 + 4*t^8.639 + 2*t^8.739 + t^8.776 + 2*t^8.813 - 2*t^8.913 + 5*t^8.95 + t^8.988 - t^4.456/y - t^6.747/y - t^7.058/y + t^7.232/y - t^7.369/y + t^7.544/y - t^7.68/y + t^7.718/y + t^7.855/y + (2*t^7.892)/y + (2*t^8.029)/y + t^8.166/y + (2*t^8.203)/y + t^8.34/y + (3*t^8.515)/y + t^8.651/y + (2*t^8.826)/y + t^8.863/y - t^4.456*y - t^6.747*y - t^7.058*y + t^7.232*y - t^7.369*y + t^7.544*y - t^7.68*y + t^7.718*y + t^7.855*y + 2*t^7.892*y + 2*t^8.029*y + t^8.166*y + 2*t^8.203*y + t^8.34*y + 3*t^8.515*y + t^8.651*y + 2*t^8.826*y + t^8.863*y | g1^40*t^2.29 + t^2.427/g1^10 + 2*g1^14*t^2.602 + t^2.913/g1^12 + t^3.224/g1^38 + g1^10*t^3.573 + g1^34*t^3.747 + t^3.884/g1^16 + 2*g1^8*t^4.058 + g1^32*t^4.232 + g1^56*t^4.407 + g1^80*t^4.581 + g1^30*t^4.718 + t^4.855/g1^20 + 2*g1^54*t^4.892 + 2*g1^4*t^5.029 + 4*g1^28*t^5.203 + t^5.34/g1^22 + 3*g1^2*t^5.515 + t^5.826/g1^24 + g1^50*t^5.863 - 2*t^6. + g1^74*t^6.037 + t^6.137/g1^50 + g1^24*t^6.174 + 3*g1^48*t^6.349 + t^6.448/g1^76 + (3*t^6.485)/g1^2 + g1^72*t^6.523 + 4*g1^22*t^6.66 + g1^96*t^6.697 + 2*g1^46*t^6.834 + g1^120*t^6.871 + t^6.971/g1^4 + 3*g1^70*t^7.008 + 2*g1^94*t^7.183 + 3*g1^44*t^7.32 + 4*g1^68*t^7.494 + 4*g1^18*t^7.631 + t^7.768/g1^32 + 7*g1^42*t^7.805 + (2*t^7.942)/g1^8 + g1^66*t^7.979 + 5*g1^16*t^8.116 + 2*g1^90*t^8.154 - t^8.253/g1^34 - g1^40*t^8.29 + g1^114*t^8.328 + 3*g1^64*t^8.465 - 6*g1^14*t^8.602 + 4*g1^88*t^8.639 + (2*t^8.739)/g1^36 + g1^38*t^8.776 + 2*g1^112*t^8.813 - (2*t^8.913)/g1^12 + 5*g1^62*t^8.95 + g1^136*t^8.988 - t^4.456/(g1^6*y) - (g1^34*t^6.747)/y - (g1^8*t^7.058)/y + (g1^32*t^7.232)/y - t^7.369/(g1^18*y) + (g1^6*t^7.544)/y - t^7.68/(g1^44*y) + (g1^30*t^7.718)/y + t^7.855/(g1^20*y) + (2*g1^54*t^7.892)/y + (2*g1^4*t^8.029)/y + t^8.166/(g1^46*y) + (2*g1^28*t^8.203)/y + t^8.34/(g1^22*y) + (3*g1^2*t^8.515)/y + t^8.651/(g1^48*y) + (2*t^8.826)/(g1^24*y) + (g1^50*t^8.863)/y - (t^4.456*y)/g1^6 - g1^34*t^6.747*y - g1^8*t^7.058*y + g1^32*t^7.232*y - (t^7.369*y)/g1^18 + g1^6*t^7.544*y - (t^7.68*y)/g1^44 + g1^30*t^7.718*y + (t^7.855*y)/g1^20 + 2*g1^54*t^7.892*y + 2*g1^4*t^8.029*y + (t^8.166*y)/g1^46 + 2*g1^28*t^8.203*y + (t^8.34*y)/g1^22 + 3*g1^2*t^8.515*y + (t^8.651*y)/g1^48 + (2*t^8.826*y)/g1^24 + g1^50*t^8.863*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 |
|---|---|---|---|---|---|---|---|---|
| 4695 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6746 | 0.8562 | 0.7879 | [M:[1.0666, 0.8702, 1.1298, 0.807, 1.193, 0.772, 0.8702, 0.807], q:[0.4983, 0.4351], qb:[0.3719, 0.7579], phi:[0.4842]] | t^2.316 + 2*t^2.421 + 2*t^2.611 + t^2.905 + t^3.2 + t^3.769 + t^3.874 + 2*t^4.063 + t^4.253 + t^4.442 + t^4.632 + 2*t^4.737 + 3*t^4.842 + 2*t^4.926 + 4*t^5.032 + 4*t^5.221 + 2*t^5.326 + 3*t^5.516 + t^5.621 + t^5.81 - 3*t^6. - t^4.453/y - t^4.453*y | detail | |
| 4691 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}^{2}$ | 0.6106 | 0.7637 | 0.7995 | [M:[0.85, 0.95, 1.05, 0.75, 1.25, 1.0, 0.95], q:[0.675, 0.475], qb:[0.275, 0.775], phi:[0.45]] | t^2.25 + t^2.55 + t^2.7 + 2*t^2.85 + t^3. + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.8 + t^4.95 + 3*t^5.1 + 2*t^5.25 + 2*t^5.4 + 3*t^5.55 + 4*t^5.7 + 2*t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 31263/51200, c: 39103/51200, M1: 17/20, M2: 19/20, M3: 21/20, M4: 3/4, M5: 5/4, M6: 1, M7: 19/20, q1: 27/40, q2: 19/40, qb1: 11/40, qb2: 31/40, phi1: 9/20} |
| 4697 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6791 | 0.868 | 0.7823 | [M:[1.0787, 0.8657, 1.1343, 0.8102, 1.1898, 0.7592, 0.8657, 0.7037], q:[0.4884, 0.4329], qb:[0.3773, 0.7569], phi:[0.4861]] | t^2.111 + t^2.278 + t^2.431 + 2*t^2.597 + t^2.917 + t^3.236 + t^3.569 + t^3.736 + 2*t^4.056 + 2*t^4.222 + 2*t^4.389 + t^4.542 + t^4.555 + 3*t^4.708 + t^4.861 + 2*t^4.875 + 3*t^5.028 + 4*t^5.194 + 2*t^5.347 + 3*t^5.514 + t^5.681 + t^5.833 + 2*t^5.847 - 2*t^6. - t^4.458/y - t^4.458*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1517 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6471 | 0.8081 | 0.8007 | [M:[1.0602, 0.8726, 1.1274, 0.8053, 1.1947, 0.7788], q:[0.5035, 0.4363], qb:[0.369, 0.7584], phi:[0.4832]] | t^2.336 + t^2.416 + t^2.618 + t^2.899 + t^3.18 + t^3.382 + t^3.584 + t^3.786 + t^3.865 + 2*t^4.067 + t^4.269 + t^4.471 + t^4.673 + t^4.752 + t^4.832 + t^4.954 + t^5.034 + 2*t^5.235 + t^5.315 + 2*t^5.517 + t^5.719 + t^5.798 + t^5.92 - t^6. - t^4.45/y - t^4.45*y | detail |