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 |
|---|---|---|---|---|---|---|---|---|---|
| 47912 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4426 | 1.6233 | 0.8887 | [X:[1.3516], q:[0.4779, 0.4779], qb:[0.5221, 0.5768], phi:[0.3242]] | [X:[[0, 6]], q:[[-1, 22], [1, 0]], qb:[[0, -11], [0, 7]], phi:[[0, -3]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | t^2.918 + 2*t^3. + 2*t^3.164 + 2*t^3.973 + t^4.055 + 2*t^4.137 + 2*t^4.945 + 2*t^5.109 + 2*t^5.273 + t^5.836 + 2*t^5.918 - 2*t^6. + 2*t^6.082 + 3*t^6.164 + 2*t^6.246 + 3*t^6.328 + 2*t^6.891 + t^6.973 + 4*t^7.055 + 6*t^7.137 + 6*t^7.219 + 3*t^7.301 + t^7.617 + 4*t^7.945 + 2*t^8.027 + 8*t^8.109 + 2*t^8.191 + 7*t^8.273 + 4*t^8.437 - 2*t^8.672 + t^8.754 + 3*t^8.918 + t^8.918/y^2 - t^3.973/y - t^4.945/y - t^6.891/y - (2*t^6.973)/y - (2*t^7.137)/y - t^7.863/y - (2*t^7.945)/y - (2*t^8.109)/y - t^3.973*y - t^4.945*y - t^6.891*y - 2*t^6.973*y - 2*t^7.137*y - t^7.863*y - 2*t^7.945*y - 2*t^8.109*y + t^8.918*y^2 | t^2.918/g2^9 + (g1*t^3.)/g2^11 + (g2^11*t^3.)/g1 + g1*g2^7*t^3.164 + (g2^29*t^3.164)/g1 + (g1*t^3.973)/g2^14 + (g2^8*t^3.973)/g1 + g2^6*t^4.055 + g1*g2^4*t^4.137 + (g2^26*t^4.137)/g1 + (g1*t^4.945)/g2^17 + (g2^5*t^4.945)/g1 + g1*g2*t^5.109 + (g2^23*t^5.109)/g1 + g1*g2^19*t^5.273 + (g2^41*t^5.273)/g1 + t^5.836/g2^18 + (g1*t^5.918)/g2^20 + (g2^2*t^5.918)/g1 - 2*t^6. + (g1*t^6.082)/g2^2 + (g2^20*t^6.082)/g1 + (g1^2*t^6.164)/g2^4 + g2^18*t^6.164 + (g2^40*t^6.164)/g1^2 + g1*g2^16*t^6.246 + (g2^38*t^6.246)/g1 + g1^2*g2^14*t^6.328 + g2^36*t^6.328 + (g2^58*t^6.328)/g1^2 + (g1*t^6.891)/g2^23 + t^6.891/(g1*g2) + t^6.973/g2^3 + (2*g1*t^7.055)/g2^5 + (2*g2^17*t^7.055)/g1 + (2*g1^2*t^7.137)/g2^7 + 2*g2^15*t^7.137 + (2*g2^37*t^7.137)/g1^2 + (g1^3*t^7.219)/g2^9 + 2*g1*g2^13*t^7.219 + (2*g2^35*t^7.219)/g1 + (g2^57*t^7.219)/g1^3 + g1^2*g2^11*t^7.301 + g2^33*t^7.301 + (g2^55*t^7.301)/g1^2 + t^7.617/g2^42 + (g1^2*t^7.945)/g2^28 + (2*t^7.945)/g2^6 + (g2^16*t^7.945)/g1^2 + (g1*t^8.027)/g2^8 + (g2^14*t^8.027)/g1 + (2*g1^2*t^8.109)/g2^10 + 4*g2^12*t^8.109 + (2*g2^34*t^8.109)/g1^2 + g1*g2^10*t^8.191 + (g2^32*t^8.191)/g1 + 2*g1^2*g2^8*t^8.273 + 3*g2^30*t^8.273 + (2*g2^52*t^8.273)/g1^2 + g1^2*g2^26*t^8.437 + 2*g2^48*t^8.437 + (g2^70*t^8.437)/g1^2 - (g1*t^8.672)/g2^47 - t^8.672/(g1*g2^25) + t^8.754/g2^27 + (g1^2*t^8.918)/g2^31 + t^8.918/g2^9 + (g2^13*t^8.918)/g1^2 + t^8.918/(g2^9*y^2) - t^3.973/(g2^3*y) - t^4.945/(g2^6*y) - t^6.891/(g2^12*y) - (g1*t^6.973)/(g2^14*y) - (g2^8*t^6.973)/(g1*y) - (g1*g2^4*t^7.137)/y - (g2^26*t^7.137)/(g1*y) - t^7.863/(g2^15*y) - (g1*t^7.945)/(g2^17*y) - (g2^5*t^7.945)/(g1*y) - (g1*g2*t^8.109)/y - (g2^23*t^8.109)/(g1*y) - (t^3.973*y)/g2^3 - (t^4.945*y)/g2^6 - (t^6.891*y)/g2^12 - (g1*t^6.973*y)/g2^14 - (g2^8*t^6.973*y)/g1 - g1*g2^4*t^7.137*y - (g2^26*t^7.137*y)/g1 - (t^7.863*y)/g2^15 - (g1*t^7.945*y)/g2^17 - (g2^5*t^7.945*y)/g1 - g1*g2*t^8.109*y - (g2^23*t^8.109*y)/g1 + (t^8.918*y^2)/g2^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57463 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4634 | 1.6644 | 0.8792 | [X:[1.3515], M:[0.6749], q:[0.4769, 0.4786], qb:[0.5223, 0.5767], phi:[0.3243]] | t^2.02 + t^2.92 + 2*t^3. + t^3.16 + t^3.17 + t^3.97 + 2*t^4.05 + t^4.13 + t^4.14 + 2*t^4.94 + t^4.95 + t^5.02 + t^5.03 + 2*t^5.11 + 2*t^5.19 + 2*t^5.27 + t^5.84 + 2*t^5.92 + t^5.99 - 2*t^6. - t^3.97/y - t^4.95/y - t^6./y - t^3.97*y - t^4.95*y - t^6.*y | detail | |
| 57461 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4404 | 1.6215 | 0.8883 | [X:[1.347], M:[1.0205], q:[0.4695, 0.4695], qb:[0.5305, 0.5715], phi:[0.3265]] | 2*t^3. + t^3.06 + 2*t^3.12 + 2*t^3.98 + t^4.04 + 2*t^4.1 + 2*t^4.96 + 2*t^5.08 + 2*t^5.2 - 2*t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
| 57462 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4434 | 1.6252 | 0.8882 | [X:[1.3517], M:[0.9823], q:[0.4603, 0.4957], qb:[0.522, 0.5769], phi:[0.3242]] | t^2.92 + 2*t^2.95 + t^3.11 + t^3.22 + t^3.92 + t^4.03 + t^4.05 + t^4.08 + t^4.19 + t^4.89 + t^5. + t^5.06 + t^5.16 + t^5.22 + t^5.33 + t^5.84 + 2*t^5.86 + 2*t^5.89 - 3*t^6. - t^3.97/y - t^4.95/y - t^3.97*y - t^4.95*y | detail | |
| 57460 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4147 | 1.5809 | 0.8949 | [X:[1.3902], q:[0.4994, 0.5979], qb:[0.4514, 0.6218], phi:[0.3049]] | t^2.744 + t^2.852 + t^3.148 + t^3.364 + t^3.659 + t^3.767 + t^4.063 + t^4.17 + t^4.278 + t^4.574 + t^4.682 + t^4.977 + t^5.193 + 2*t^5.489 + t^5.597 + t^5.705 + t^5.892 - t^6. - t^3.915/y - t^4.83/y - t^3.915*y - t^4.83*y | detail | |
| 57457 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | 1.0766 | 1.2121 | 0.8882 | [X:[1.472], q:[0.3788, 1.0186], qb:[0.3013, 0.7174], phi:[0.264]] | t^2.04 + t^2.376 + t^2.832 + t^3.288 + t^3.624 + t^3.96 + t^4.08 + 2*t^4.416 + 2*t^4.752 + t^4.872 + t^5.087 + 2*t^5.208 + t^5.329 + 2*t^5.664 + t^5.785 - t^6. - t^3.792/y - t^4.584/y - t^5.832/y - t^3.792*y - t^4.584*y - t^5.832*y | detail | |
| 57458 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 1.1059 | 1.2757 | 0.8669 | [X:[1.321, 1.3581], q:[0.1008, 0.7427], qb:[0.5782, 0.5411], phi:[0.3395]] | t^2.037 + t^2.944 + 2*t^3.056 + 2*t^3.851 + 4*t^3.963 + 2*t^4.074 + 2*t^4.87 + 2*t^4.981 + t^5.093 + t^5.777 + 3*t^5.889 + 3*t^6. - t^4.019/y - t^5.037/y - t^4.019*y - t^5.037*y | detail | |
| 57459 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.3238 | 1.482 | 0.8933 | [X:[1.4117], q:[0.4114, 0.7647], qb:[0.4119, 0.647], phi:[0.2942]] | t^2.47 + t^2.647 + t^3.175 + t^3.353 + t^3.53 + t^4.058 + 3*t^4.235 + t^4.412 + t^4.94 + 2*t^5.118 + 2*t^5.295 + 2*t^5.645 + t^5.823 - t^3.882/y - t^4.765/y - t^3.882*y - t^4.765*y | detail | |
| 57456 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ | 0.8149 | 0.9052 | 0.9002 | [X:[1.5183, 1.445], q:[0.3387, 1.2286], qb:[0.2164, 0.7714], phi:[0.2408]] | t^2.167 + t^2.388 + t^3.11 + t^4.115 + 2*t^4.335 + 2*t^4.555 + t^4.775 + t^5.216 + t^5.278 + t^5.498 - 2*t^6. - t^3.722/y - t^4.445/y - t^5.89/y - t^3.722*y - t^4.445*y - t^5.89*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47867 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ | 1.4741 | 1.6835 | 0.8756 | [q:[0.4973, 0.4973], qb:[0.5027, 0.4919], phi:[0.3351]] | t^2.011 + 2*t^2.967 + 2*t^3. + t^3.016 + 2*t^3.973 + 2*t^4.005 + t^4.022 + 4*t^4.978 + 4*t^5.011 + t^5.027 + t^5.465 + 2*t^5.481 + t^5.497 + 3*t^5.935 + 3*t^5.967 + 4*t^5.984 - 3*t^6. - t^4.005/y - t^5.011/y - t^4.005*y - t^5.011*y | detail |