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 |
|---|---|---|---|---|---|---|---|---|---|
| 2231 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.7058 | 0.8884 | 0.7944 | [M:[1.0484, 1.1069, 0.9707, 0.7379, 0.9516, 0.8155, 0.6794], q:[0.7767, 0.4078], qb:[0.5439, 0.4854], phi:[0.4466]] | [M:[[32], [-12], [22], [-8], [-32], [2], [36]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.038 + t^2.214 + t^2.447 + t^2.679 + t^2.855 + t^2.912 + t^3.321 + t^3.786 + t^4.019 + t^4.076 + t^4.195 + 2*t^4.252 + 2*t^4.427 + t^4.485 + t^4.603 + t^4.66 + t^4.718 + 3*t^4.893 + t^4.95 + t^5.069 + 2*t^5.126 + t^5.301 + 3*t^5.359 + 2*t^5.534 + t^5.71 + t^5.767 + t^5.824 - t^6. + t^6.057 + t^6.115 + 2*t^6.233 + 2*t^6.29 + 4*t^6.466 + t^6.523 + 4*t^6.641 + 3*t^6.699 + t^6.756 + t^6.817 + 2*t^6.874 + 4*t^6.931 + t^6.989 + 2*t^7.05 + 3*t^7.107 + 2*t^7.164 + 2*t^7.282 + 3*t^7.34 + 3*t^7.397 + t^7.458 + t^7.515 + 4*t^7.573 + 2*t^7.748 + 3*t^7.805 + t^7.863 + t^7.924 + t^7.981 + t^8.038 + t^8.096 + t^8.153 + 3*t^8.271 + 2*t^8.328 + t^8.389 - 2*t^8.447 + 4*t^8.504 + t^8.561 + t^8.565 + 4*t^8.679 + 4*t^8.737 + t^8.794 + t^8.798 + t^8.855 + t^8.912 + 4*t^8.97 - t^4.34/y - t^6.378/y - t^6.553/y - t^6.786/y + t^7.427/y + t^7.485/y + t^7.66/y + t^7.718/y + (3*t^7.893)/y + t^7.95/y + t^8.069/y + (3*t^8.126)/y + (2*t^8.301)/y + (2*t^8.359)/y - t^8.416/y + (2*t^8.534)/y + t^8.767/y - t^4.34*y - t^6.378*y - t^6.553*y - t^6.786*y + t^7.427*y + t^7.485*y + t^7.66*y + t^7.718*y + 3*t^7.893*y + t^7.95*y + t^8.069*y + 3*t^8.126*y + 2*t^8.301*y + 2*t^8.359*y - t^8.416*y + 2*t^8.534*y + t^8.767*y | g1^36*t^2.038 + t^2.214/g1^8 + g1^2*t^2.447 + g1^12*t^2.679 + t^2.855/g1^32 + g1^22*t^2.912 + t^3.321/g1^12 + g1^8*t^3.786 + g1^18*t^4.019 + g1^72*t^4.076 + t^4.195/g1^26 + 2*g1^28*t^4.252 + (2*t^4.427)/g1^16 + g1^38*t^4.485 + t^4.603/g1^60 + t^4.66/g1^6 + g1^48*t^4.718 + 3*g1^4*t^4.893 + g1^58*t^4.95 + t^5.069/g1^40 + 2*g1^14*t^5.126 + t^5.301/g1^30 + 3*g1^24*t^5.359 + (2*t^5.534)/g1^20 + t^5.71/g1^64 + t^5.767/g1^10 + g1^44*t^5.824 - t^6. + g1^54*t^6.057 + g1^108*t^6.115 + 2*g1^10*t^6.233 + 2*g1^64*t^6.29 + 4*g1^20*t^6.466 + g1^74*t^6.523 + (4*t^6.641)/g1^24 + 3*g1^30*t^6.699 + g1^84*t^6.756 + t^6.817/g1^68 + (2*t^6.874)/g1^14 + 4*g1^40*t^6.931 + g1^94*t^6.989 + (2*t^7.05)/g1^58 + (3*t^7.107)/g1^4 + 2*g1^50*t^7.164 + (2*t^7.282)/g1^48 + 3*g1^6*t^7.34 + 3*g1^60*t^7.397 + t^7.458/g1^92 + t^7.515/g1^38 + 4*g1^16*t^7.573 + (2*t^7.748)/g1^28 + 3*g1^26*t^7.805 + g1^80*t^7.863 + t^7.924/g1^72 + t^7.981/g1^18 + g1^36*t^8.038 + g1^90*t^8.096 + g1^144*t^8.153 + 3*g1^46*t^8.271 + 2*g1^100*t^8.328 + t^8.389/g1^52 - 2*g1^2*t^8.447 + 4*g1^56*t^8.504 + g1^110*t^8.561 + t^8.565/g1^96 + 4*g1^12*t^8.679 + 4*g1^66*t^8.737 + g1^120*t^8.794 + t^8.798/g1^86 + t^8.855/g1^32 + g1^22*t^8.912 + 4*g1^76*t^8.97 - (g1^6*t^4.34)/y - (g1^42*t^6.378)/y - t^6.553/(g1^2*y) - (g1^8*t^6.786)/y + t^7.427/(g1^16*y) + (g1^38*t^7.485)/y + t^7.66/(g1^6*y) + (g1^48*t^7.718)/y + (3*g1^4*t^7.893)/y + (g1^58*t^7.95)/y + t^8.069/(g1^40*y) + (3*g1^14*t^8.126)/y + (2*t^8.301)/(g1^30*y) + (2*g1^24*t^8.359)/y - (g1^78*t^8.416)/y + (2*t^8.534)/(g1^20*y) + t^8.767/(g1^10*y) - g1^6*t^4.34*y - g1^42*t^6.378*y - (t^6.553*y)/g1^2 - g1^8*t^6.786*y + (t^7.427*y)/g1^16 + g1^38*t^7.485*y + (t^7.66*y)/g1^6 + g1^48*t^7.718*y + 3*g1^4*t^7.893*y + g1^58*t^7.95*y + (t^8.069*y)/g1^40 + 3*g1^14*t^8.126*y + (2*t^8.301*y)/g1^30 + 2*g1^24*t^8.359*y - g1^78*t^8.416*y + (2*t^8.534*y)/g1^20 + (t^8.767*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4231 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7253 | 0.9243 | 0.7847 | [M:[1.0517, 1.1056, 0.973, 0.7371, 0.9483, 0.8157, 0.6832, 0.7371], q:[0.7764, 0.4079], qb:[0.5404, 0.4865], phi:[0.4472]] | t^2.049 + 2*t^2.211 + t^2.447 + t^2.683 + t^2.845 + t^2.919 + t^3.317 + t^4.025 + t^4.099 + t^4.187 + 3*t^4.261 + 4*t^4.422 + t^4.497 + t^4.584 + 2*t^4.658 + t^4.733 + 4*t^4.894 + t^4.969 + 2*t^5.056 + 3*t^5.13 + t^5.292 + 3*t^5.366 + 3*t^5.528 + t^5.69 + t^5.764 - 2*t^6. - t^4.342/y - t^4.342*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1182 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.685 | 0.8478 | 0.808 | [M:[1.0524, 1.1054, 0.9735, 0.7369, 0.9476, 0.8158], q:[0.7763, 0.4079], qb:[0.5398, 0.4867], phi:[0.4473]] | t^2.211 + t^2.447 + t^2.684 + t^2.843 + t^2.92 + t^3.316 + t^3.789 + t^3.948 + t^4.026 + t^4.185 + t^4.262 + 2*t^4.421 + t^4.581 + t^4.658 + 2*t^4.895 + t^5.054 + 2*t^5.131 + t^5.29 + 2*t^5.368 + 2*t^5.527 + t^5.686 + t^5.763 - t^6. - t^4.342/y - t^4.342*y | detail |