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 |
|---|---|---|---|---|---|---|---|---|---|
| 2838 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.6123 | 0.7936 | 0.7715 | [M:[0.9508, 1.1475, 1.0492, 0.7212, 0.8525], q:[0.7377, 0.3115], qb:[0.4427, 0.4098], phi:[0.5246]] | [M:[[-4], [12], [4], [18], [-12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{5}\phi_{1}q_{2}^{2}$ | -1 | 2*t^2.164 + t^2.263 + t^2.558 + 2*t^3.147 + 2*t^3.442 + t^3.541 + t^3.737 + t^4.032 + t^4.131 + t^4.23 + 3*t^4.327 + 2*t^4.426 + t^4.525 + 2*t^4.721 + t^4.82 + t^5.115 + 4*t^5.311 + 2*t^5.41 + 3*t^5.606 + 4*t^5.705 + t^5.804 + t^5.901 - t^6. + 2*t^6.196 + 3*t^6.295 + t^6.394 + 4*t^6.491 + t^6.493 + 6*t^6.59 + 3*t^6.689 + 2*t^6.788 + 5*t^6.885 + t^6.984 + t^7.083 + 2*t^7.18 + t^7.279 + 2*t^7.378 + 7*t^7.475 + 2*t^7.574 + 3*t^7.673 + 5*t^7.77 + t^7.772 + 4*t^7.869 + 2*t^7.968 + 2*t^8.065 + t^8.066 - 3*t^8.164 + 3*t^8.36 + t^8.361 + 4*t^8.459 + t^8.46 + 5*t^8.655 + t^8.656 + 8*t^8.754 + t^8.755 + 5*t^8.853 + 3*t^8.951 - t^4.574/y - t^6.737/y + t^7.327/y + (3*t^7.426)/y + t^7.721/y + t^7.82/y + (4*t^8.311)/y + (3*t^8.41)/y + (4*t^8.606)/y + (6*t^8.705)/y + t^8.804/y + t^8.901/y - t^4.574*y - t^6.737*y + t^7.327*y + 3*t^7.426*y + t^7.721*y + t^7.82*y + 4*t^8.311*y + 3*t^8.41*y + 4*t^8.606*y + 6*t^8.705*y + t^8.804*y + t^8.901*y | 2*g1^18*t^2.164 + t^2.263/g1^20 + t^2.558/g1^12 + 2*g1^4*t^3.147 + 2*g1^12*t^3.442 + t^3.541/g1^26 + g1^20*t^3.737 + g1^28*t^4.032 + t^4.131/g1^10 + t^4.23/g1^48 + 3*g1^36*t^4.327 + (2*t^4.426)/g1^2 + t^4.525/g1^40 + 2*g1^6*t^4.721 + t^4.82/g1^32 + t^5.115/g1^24 + 4*g1^22*t^5.311 + (2*t^5.41)/g1^16 + 3*g1^30*t^5.606 + (4*t^5.705)/g1^8 + t^5.804/g1^46 + g1^38*t^5.901 - t^6. + 2*g1^46*t^6.196 + 3*g1^8*t^6.295 + t^6.394/g1^30 + 4*g1^54*t^6.491 + t^6.493/g1^68 + 6*g1^16*t^6.59 + (3*t^6.689)/g1^22 + (2*t^6.788)/g1^60 + 5*g1^24*t^6.885 + t^6.984/g1^14 + t^7.083/g1^52 + 2*g1^32*t^7.18 + t^7.279/g1^6 + (2*t^7.378)/g1^44 + 7*g1^40*t^7.475 + 2*g1^2*t^7.574 + (3*t^7.673)/g1^36 + 5*g1^48*t^7.77 + t^7.772/g1^74 + 4*g1^10*t^7.869 + (2*t^7.968)/g1^28 + 2*g1^56*t^8.065 + t^8.066/g1^66 - 3*g1^18*t^8.164 + 3*g1^64*t^8.36 + t^8.361/g1^58 + 4*g1^26*t^8.459 + t^8.46/g1^96 + 5*g1^72*t^8.655 + t^8.656/g1^50 + 8*g1^34*t^8.754 + t^8.755/g1^88 + (5*t^8.853)/g1^4 + (3*t^8.951)/g1^42 - (g1^2*t^4.574)/y - (g1^20*t^6.737)/y + (g1^36*t^7.327)/y + (3*t^7.426)/(g1^2*y) + (g1^6*t^7.721)/y + t^7.82/(g1^32*y) + (4*g1^22*t^8.311)/y + (3*t^8.41)/(g1^16*y) + (4*g1^30*t^8.606)/y + (6*t^8.705)/(g1^8*y) + t^8.804/(g1^46*y) + (g1^38*t^8.901)/y - g1^2*t^4.574*y - g1^20*t^6.737*y + g1^36*t^7.327*y + (3*t^7.426*y)/g1^2 + g1^6*t^7.721*y + (t^7.82*y)/g1^32 + 4*g1^22*t^8.311*y + (3*t^8.41*y)/g1^16 + 4*g1^30*t^8.606*y + (6*t^8.705*y)/g1^8 + (t^8.804*y)/g1^46 + g1^38*t^8.901*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 |
|---|---|---|---|---|---|---|---|---|
| 3388 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ | 0.5996 | 0.7724 | 0.7763 | [M:[0.953, 1.1411, 1.047, 0.7116, 0.8589, 1.1411], q:[0.7382, 0.3088], qb:[0.4561, 0.4028], phi:[0.5235]] | 2*t^2.135 + t^2.295 + 2*t^3.141 + 3*t^3.423 + t^3.583 + t^3.705 + t^3.987 + t^4.147 + 3*t^4.27 + t^4.307 + 2*t^4.429 + t^4.589 + 4*t^5.276 + 2*t^5.436 + 5*t^5.558 + 3*t^5.718 + t^5.84 + t^5.878 - 3*t^6. - t^4.571/y - t^4.571*y | detail | |
| 3389 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6283 | 0.8228 | 0.7636 | [M:[0.9544, 1.1368, 1.0456, 0.7052, 0.8632, 0.7964], q:[0.7386, 0.307], qb:[0.465, 0.3982], phi:[0.5228]] | 2*t^2.116 + t^2.316 + t^2.389 + t^2.59 + 2*t^3.137 + 2*t^3.41 + t^3.684 + t^3.958 + t^4.158 + 3*t^4.231 + t^4.358 + 2*t^4.432 + 2*t^4.505 + t^4.632 + 3*t^4.705 + t^4.778 + t^4.906 + t^4.979 + t^5.179 + 4*t^5.252 + 2*t^5.453 + 5*t^5.526 + 2*t^5.726 + 3*t^5.8 - t^6. - t^4.568/y - t^4.568*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1820 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6244 | 0.811 | 0.77 | [M:[0.9923, 1.0232, 1.0077, 0.7496, 0.7621], q:[0.7481, 0.2597], qb:[0.4869, 0.4899], phi:[0.5039]] | t^2.24 + 2*t^2.249 + t^2.286 + 2*t^3.023 + 2*t^3.07 + t^3.705 + t^3.76 + t^4.433 + t^4.442 + t^4.451 + t^4.479 + 2*t^4.488 + 3*t^4.497 + t^4.526 + 2*t^4.535 + t^4.572 + 2*t^5.263 + 4*t^5.272 + 3*t^5.309 + 3*t^5.318 + 2*t^5.356 + t^5.945 + t^5.954 - 3*t^6. - t^4.512/y - t^4.512*y | detail |