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 |
|---|---|---|---|---|---|---|---|---|---|
| 1139 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.679 | 0.8518 | 0.7972 | [M:[0.9942, 1.0787, 1.1516, 0.8484, 0.691, 0.7754], q:[0.7697, 0.5393], qb:[0.4664, 0.382], phi:[0.4607]] | [M:[[13], [-4], [5], [-5], [3], [-14]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$ | ${}M_{5}q_{1}q_{2}$ | 0 | t^2.073 + t^2.326 + t^2.545 + t^2.764 + t^2.983 + t^3.236 + t^3.455 + t^3.708 + t^3.927 + 2*t^4.146 + t^4.18 + 2*t^4.399 + 2*t^4.618 + t^4.653 + t^4.837 + t^4.871 + t^5.056 + 2*t^5.09 + 3*t^5.309 + 2*t^5.528 + t^5.562 + 2*t^5.781 + t^5.965 + t^6.035 + 2*t^6.219 + 2*t^6.253 + t^6.438 + 3*t^6.472 + t^6.507 + 3*t^6.691 + 3*t^6.726 + t^6.91 + 4*t^6.944 + t^6.979 + t^7.129 + 3*t^7.163 + t^7.198 + 3*t^7.382 + 3*t^7.417 + 2*t^7.601 + 4*t^7.635 + 3*t^7.854 + 2*t^7.889 + t^8.038 + 3*t^8.108 + 3*t^8.292 + t^8.326 + 2*t^8.361 + t^8.511 + t^8.545 + 3*t^8.58 + 2*t^8.764 + 5*t^8.798 + t^8.833 + t^8.948 - 2*t^8.983 - t^4.382/y - t^6.455/y - t^6.708/y - t^7.365/y + (2*t^7.399)/y + t^7.618/y + t^7.837/y + t^7.871/y + (2*t^8.056)/y + t^8.09/y + (4*t^8.309)/y + t^8.528/y + t^8.562/y + t^8.747/y + (2*t^8.781)/y - t^4.382*y - t^6.455*y - t^6.708*y - t^7.365*y + 2*t^7.399*y + t^7.618*y + t^7.837*y + t^7.871*y + 2*t^8.056*y + t^8.09*y + 4*t^8.309*y + t^8.528*y + t^8.562*y + t^8.747*y + 2*t^8.781*y | g1^3*t^2.073 + t^2.326/g1^14 + t^2.545/g1^5 + g1^4*t^2.764 + g1^13*t^2.983 + t^3.236/g1^4 + g1^5*t^3.455 + t^3.708/g1^12 + t^3.927/g1^3 + 2*g1^6*t^4.146 + t^4.18/g1^20 + (2*t^4.399)/g1^11 + (2*t^4.618)/g1^2 + t^4.653/g1^28 + g1^7*t^4.837 + t^4.871/g1^19 + g1^16*t^5.056 + (2*t^5.09)/g1^10 + (3*t^5.309)/g1 + 2*g1^8*t^5.528 + t^5.562/g1^18 + (2*t^5.781)/g1^9 + g1^26*t^5.965 + t^6.035/g1^26 + 2*g1^9*t^6.219 + (2*t^6.253)/g1^17 + g1^18*t^6.438 + (3*t^6.472)/g1^8 + t^6.507/g1^34 + 3*g1*t^6.691 + (3*t^6.726)/g1^25 + g1^10*t^6.91 + (4*t^6.944)/g1^16 + t^6.979/g1^42 + g1^19*t^7.129 + (3*t^7.163)/g1^7 + t^7.198/g1^33 + 3*g1^2*t^7.382 + (3*t^7.417)/g1^24 + 2*g1^11*t^7.601 + (4*t^7.635)/g1^15 + (3*t^7.854)/g1^6 + (2*t^7.889)/g1^32 + g1^29*t^8.038 + (3*t^8.108)/g1^23 + 3*g1^12*t^8.292 + t^8.326/g1^14 + (2*t^8.361)/g1^40 + g1^21*t^8.511 + t^8.545/g1^5 + (3*t^8.58)/g1^31 + 2*g1^4*t^8.764 + (5*t^8.798)/g1^22 + t^8.833/g1^48 + g1^39*t^8.948 - 2*g1^13*t^8.983 - (g1^2*t^4.382)/y - (g1^5*t^6.455)/y - t^6.708/(g1^12*y) - (g1^15*t^7.365)/y + (2*t^7.399)/(g1^11*y) + t^7.618/(g1^2*y) + (g1^7*t^7.837)/y + t^7.871/(g1^19*y) + (2*g1^16*t^8.056)/y + t^8.09/(g1^10*y) + (4*t^8.309)/(g1*y) + (g1^8*t^8.528)/y + t^8.562/(g1^18*y) + (g1^17*t^8.747)/y + (2*t^8.781)/(g1^9*y) - g1^2*t^4.382*y - g1^5*t^6.455*y - (t^6.708*y)/g1^12 - g1^15*t^7.365*y + (2*t^7.399*y)/g1^11 + (t^7.618*y)/g1^2 + g1^7*t^7.837*y + (t^7.871*y)/g1^19 + 2*g1^16*t^8.056*y + (t^8.09*y)/g1^10 + (4*t^8.309*y)/g1 + g1^8*t^8.528*y + (t^8.562*y)/g1^18 + g1^17*t^8.747*y + (2*t^8.781*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2204 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6924 | 0.8757 | 0.7908 | [M:[1.0064, 1.075, 1.1563, 0.8437, 0.6938, 0.7624, 0.8437], q:[0.7687, 0.5375], qb:[0.4561, 0.3876], phi:[0.4625]] | t^2.081 + t^2.287 + 2*t^2.531 + t^2.775 + t^3.019 + t^3.225 + t^3.675 + t^3.919 + t^4.124 + 2*t^4.163 + 2*t^4.368 + t^4.574 + 3*t^4.612 + 2*t^4.818 + t^4.856 + 4*t^5.062 + t^5.1 + 4*t^5.306 + t^5.512 + 2*t^5.55 + 2*t^5.756 + t^5.962 - t^6. - t^4.388/y - t^4.388*y | detail | |
| 2205 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6997 | 0.8917 | 0.7847 | [M:[0.9929, 1.0791, 1.1511, 0.8489, 0.6907, 0.7768, 0.6907], q:[0.7698, 0.5395], qb:[0.4675, 0.3814], phi:[0.4605]] | 2*t^2.072 + t^2.331 + t^2.547 + t^2.763 + t^2.979 + t^3.237 + t^3.453 + t^3.712 + 4*t^4.144 + t^4.186 + 3*t^4.403 + 3*t^4.619 + t^4.661 + 2*t^4.835 + t^4.877 + 2*t^5.051 + 2*t^5.093 + 4*t^5.309 + 3*t^5.525 + t^5.568 + 3*t^5.784 + t^5.958 - t^6. - t^4.381/y - t^4.381*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 |
|---|---|---|---|---|---|---|---|---|---|
| 700 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.662 | 0.821 | 0.8063 | [M:[0.9647, 1.0878, 1.1403, 0.8597, 0.6842], q:[0.7719, 0.5439], qb:[0.4914, 0.3683], phi:[0.4561]] | t^2.052 + t^2.579 + t^2.737 + t^2.894 + t^3.263 + t^3.421 + t^3.578 + t^3.79 + t^3.948 + 2*t^4.105 + t^4.317 + t^4.474 + 2*t^4.632 + t^4.789 + t^4.946 + t^5.158 + 2*t^5.316 + 2*t^5.473 + t^5.631 + t^5.788 + t^5.843 - t^4.368/y - t^4.368*y | detail |