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 |
|---|---|---|---|---|---|---|---|---|---|
| 1026 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{5}M_{7}$ | 0.683 | 0.8286 | 0.8242 | [M:[0.9994, 1.1648, 0.9231, 1.0006, 0.7472, 0.6698, 1.2528], q:[0.7912, 0.539], qb:[0.4615, 0.5379], phi:[0.4176]] | [M:[[7, 1], [-4, 0], [14, 0], [-7, -1], [-6, 0], [15, 1], [6, 0]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.009 + t^2.769 + t^2.998 + t^3.002 + t^3.494 + t^3.758 + t^3.987 + t^4.019 + t^4.022 + t^4.251 + t^4.254 + t^4.48 + t^4.483 + t^4.487 + t^4.779 + t^5.008 + t^5.011 + t^5.504 + t^5.539 + t^5.768 + t^5.997 - 2*t^6. + t^6.028 + t^6.031 - t^6.229 - t^6.232 + t^6.26 + t^6.264 + t^6.489 + t^6.493 + t^6.496 + t^6.528 + t^6.757 + t^6.788 + t^6.791 + t^6.986 + t^7.017 + 2*t^7.02 + t^7.024 + t^7.249 + t^7.253 + t^7.256 + t^7.478 + t^7.482 + t^7.489 + t^7.513 + t^7.517 + t^7.548 + t^7.746 + t^7.777 + t^7.78 + t^7.975 + t^8.006 - t^8.009 + t^8.037 + t^8.041 + t^8.044 - t^8.242 + t^8.27 + 2*t^8.273 + t^8.276 + t^8.308 + t^8.467 + t^8.499 + 2*t^8.502 + t^8.506 + t^8.509 + t^8.537 + t^8.731 + t^8.741 + t^8.766 - 3*t^8.769 + t^8.797 + t^8.801 + t^8.96 + t^8.964 + t^8.967 + t^8.97 + t^8.974 + t^8.995 - 3*t^8.998 - t^4.253/y - t^6.262/y - t^7.022/y + t^7.483/y + t^7.779/y + t^8.008/y + t^8.011/y + t^8.243/y - t^8.271/y + t^8.504/y + (2*t^8.768)/y + t^8.771/y + t^8.997/y - t^4.253*y - t^6.262*y - t^7.022*y + t^7.483*y + t^7.779*y + t^8.008*y + t^8.011*y + t^8.243*y - t^8.271*y + t^8.504*y + 2*t^8.768*y + t^8.771*y + t^8.997*y | g1^15*g2*t^2.009 + g1^14*t^2.769 + g1^7*g2*t^2.998 + t^3.002/(g1^7*g2) + t^3.494/g1^4 + g1^6*t^3.758 + (g2*t^3.987)/g1 + g1^30*g2^2*t^4.019 + g1^16*t^4.022 + g1^9*g2*t^4.251 + t^4.254/(g1^5*g2) + g1^2*g2^2*t^4.48 + t^4.483/g1^12 + t^4.487/(g1^26*g2^2) + g1^29*g2*t^4.779 + g1^22*g2^2*t^5.008 + g1^8*t^5.011 + g1^11*g2*t^5.504 + g1^28*t^5.539 + g1^21*g2*t^5.768 + g1^14*g2^2*t^5.997 - 2*t^6. + g1^45*g2^3*t^6.028 + g1^31*g2*t^6.031 - (g2*t^6.229)/g1^7 - t^6.232/(g1^21*g2) + g1^24*g2^2*t^6.26 + g1^10*t^6.264 + g1^17*g2^3*t^6.489 + g1^3*g2*t^6.493 + t^6.496/(g1^11*g2) + g1^20*t^6.528 + g1^13*g2*t^6.757 + g1^44*g2^2*t^6.788 + g1^30*t^6.791 + g1^6*g2^2*t^6.986 + g1^37*g2^3*t^7.017 + 2*g1^23*g2*t^7.02 + (g1^9*t^7.024)/g2 + g1^16*g2^2*t^7.249 + g1^2*t^7.253 + t^7.256/(g1^12*g2^2) + g1^9*g2^3*t^7.478 + (g2*t^7.482)/g1^5 + t^7.489/(g1^33*g2^3) + g1^26*g2^2*t^7.513 + g1^12*t^7.517 + g1^43*g2*t^7.548 + g1^5*g2*t^7.746 + g1^36*g2^2*t^7.777 + g1^22*t^7.78 + (g2^2*t^7.975)/g1^2 + g1^29*g2^3*t^8.006 - g1^15*g2*t^8.009 + g1^60*g2^4*t^8.037 + g1^46*g2^2*t^8.041 + g1^32*t^8.044 - t^8.242/g1^6 + g1^39*g2^3*t^8.27 + 2*g1^25*g2*t^8.273 + (g1^11*t^8.276)/g2 + g1^42*t^8.308 + g1*g2^3*t^8.467 + g1^32*g2^4*t^8.499 + 2*g1^18*g2^2*t^8.502 + g1^4*t^8.506 + t^8.509/(g1^10*g2^2) + g1^35*g2*t^8.537 + g1^11*g2^3*t^8.731 + t^8.741/(g1^31*g2^3) + g1^28*g2^2*t^8.766 - 3*g1^14*t^8.769 + g1^59*g2^3*t^8.797 + g1^45*g2*t^8.801 + g1^4*g2^4*t^8.96 + (g2^2*t^8.964)/g1^10 + t^8.967/g1^24 + t^8.97/(g1^38*g2^2) + t^8.974/(g1^52*g2^4) + g1^21*g2^3*t^8.995 - 3*g1^7*g2*t^8.998 - (g1^2*t^4.253)/y - (g1^17*g2*t^6.262)/y - (g1^16*t^7.022)/y + t^7.483/(g1^12*y) + (g1^29*g2*t^7.779)/y + (g1^22*g2^2*t^8.008)/y + (g1^8*t^8.011)/y + t^8.243/(g1^13*g2*y) - (g1^32*g2^2*t^8.271)/y + (g1^11*g2*t^8.504)/y + (2*g1^21*g2*t^8.768)/y + (g1^7*t^8.771)/(g2*y) + (g1^14*g2^2*t^8.997)/y - g1^2*t^4.253*y - g1^17*g2*t^6.262*y - g1^16*t^7.022*y + (t^7.483*y)/g1^12 + g1^29*g2*t^7.779*y + g1^22*g2^2*t^8.008*y + g1^8*t^8.011*y + (t^8.243*y)/(g1^13*g2) - g1^32*g2^2*t^8.271*y + g1^11*g2*t^8.504*y + 2*g1^21*g2*t^8.768*y + (g1^7*t^8.771*y)/g2 + g1^14*g2^2*t^8.997*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 |
|---|---|---|---|---|---|---|---|---|
| 1599 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{3}$ | 0.6793 | 0.8216 | 0.8268 | [M:[1.0198, 1.1485, 0.9802, 0.9802, 0.7228, 0.7228, 1.2772], q:[0.7871, 0.4901], qb:[0.4901, 0.5297], phi:[0.4257]] | t^2.168 + 2*t^2.941 + t^3.059 + t^3.446 + t^3.832 + t^3.95 + 3*t^4.218 + 3*t^4.337 + t^4.455 + 2*t^5.109 + t^5.228 + t^5.614 + t^5.881 - 2*t^6. - t^4.277/y - t^4.277*y | detail | |
| 1600 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6841 | 0.83 | 0.8243 | [M:[1.0256, 1.1665, 0.9173, 0.9744, 0.7497, 0.6926, 1.2503, 0.9744], q:[0.7916, 0.5158], qb:[0.4587, 0.5669], phi:[0.4168]] | t^2.078 + t^2.752 + 2*t^2.923 + t^3.499 + t^3.751 + t^4.002 + t^4.076 + t^4.156 + t^4.174 + t^4.327 + t^4.345 + t^4.498 + t^4.652 + t^4.83 + 2*t^5.001 + t^5.504 + t^5.577 + t^5.675 + 2*t^5.847 - 3*t^6. - t^4.25/y - t^4.25*y | detail | |
| 1602 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7038 | 0.8701 | 0.8089 | [M:[1.0, 1.165, 0.9223, 1.0, 0.7476, 0.6699, 1.2524, 0.6699], q:[0.7913, 0.5388], qb:[0.4612, 0.5388], phi:[0.4175]] | 2*t^2.01 + t^2.767 + 2*t^3. + t^3.495 + t^3.757 + 4*t^4.019 + 2*t^4.252 + 3*t^4.485 + 2*t^4.777 + 4*t^5.01 + 2*t^5.505 + t^5.534 + 2*t^5.767 - 2*t^6. - t^4.252/y - t^4.252*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 |
|---|---|---|---|---|---|---|---|---|---|
| 645 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7022 | 0.8636 | 0.8131 | [M:[0.9986, 1.1618, 0.9336, 1.0014, 0.7428, 0.6749], q:[0.7905, 0.5347], qb:[0.4668, 0.5318], phi:[0.4191]] | t^2.025 + t^2.228 + t^2.801 + t^2.996 + t^3.004 + t^3.486 + t^3.967 + t^4.049 + t^4.058 + 2*t^4.253 + t^4.262 + t^4.448 + 2*t^4.457 + t^4.465 + t^4.825 + t^5.02 + 2*t^5.029 + t^5.224 + t^5.233 + t^5.51 + t^5.601 + t^5.714 + t^5.991 - 2*t^6. - t^4.257/y - t^4.257*y | detail |