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 |
---|---|---|---|---|---|---|---|---|---|
47920 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.4749 | 1.6855 | 0.8751 | [M:[0.9816], q:[0.5159, 0.4791], qb:[0.5025, 0.4919], phi:[0.3351]] | [M:[[1, 6, 0]], q:[[-1, -12, 0], [1, 0, 0]], qb:[[0, 6, 0], [0, 0, 6]], phi:[[0, 1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{5}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -4 | t^2.011 + t^2.913 + 2*t^2.945 + t^3.016 + t^3.023 + t^3.918 + t^3.95 + t^4.021 + t^4.028 + t^4.06 + 2*t^4.924 + 3*t^4.956 + t^5.027 + 2*t^5.034 + t^5.066 + t^5.428 + t^5.464 + t^5.496 + t^5.538 + t^5.826 + 2*t^5.858 + 2*t^5.89 + 2*t^5.929 + t^5.936 + 3*t^5.961 + t^5.968 - 4*t^6. + t^6.032 + 2*t^6.039 + t^6.046 + t^6.071 - t^6.11 + t^6.433 + t^6.469 + t^6.501 + t^6.543 + t^6.831 + 3*t^6.863 + t^6.895 + 3*t^6.934 + 2*t^6.941 + 4*t^6.966 + 3*t^6.973 - t^7.005 + 3*t^7.044 + t^7.052 + 2*t^7.076 + t^7.084 - t^7.116 + t^7.328 - t^7.436 + 2*t^7.438 + t^7.443 + 2*t^7.475 - t^7.477 + 2*t^7.507 - t^7.509 + t^7.539 - t^7.546 + 2*t^7.549 + t^7.659 + 3*t^7.837 + 6*t^7.868 + 4*t^7.9 - t^7.908 + 2*t^7.94 + 4*t^7.947 + 4*t^7.972 + 5*t^7.979 - 3*t^8.011 - t^8.018 + 2*t^8.05 + 3*t^8.057 + 2*t^8.082 + 2*t^8.089 - t^8.121 + t^8.341 + t^8.373 + t^8.377 - t^8.404 + 2*t^8.409 + 2*t^8.444 + 2*t^8.451 - t^8.473 + 2*t^8.48 + t^8.487 + 2*t^8.512 - 2*t^8.515 - 2*t^8.551 + 2*t^8.554 + t^8.561 - t^8.583 - t^8.593 - t^8.625 + t^8.739 + 2*t^8.771 + 2*t^8.803 + 2*t^8.835 + 3*t^8.842 + t^8.849 + 7*t^8.874 + t^8.881 + 4*t^8.906 - 5*t^8.913 - 5*t^8.945 + 5*t^8.952 + t^8.959 + 5*t^8.977 + 7*t^8.984 + t^8.991 - t^4.005/y - t^5.011/y - t^6.016/y - t^6.918/y - (2*t^6.95)/y - (2*t^7.021)/y - t^7.028/y + t^7.995/y - t^8.027/y + (2*t^8.858)/y + t^8.89/y + t^8.936/y + (2*t^8.968)/y - t^4.005*y - t^5.011*y - t^6.016*y - t^6.918*y - 2*t^6.95*y - 2*t^7.021*y - t^7.028*y + t^7.995*y - t^8.027*y + 2*t^8.858*y + t^8.89*y + t^8.936*y + 2*t^8.968*y | (g2^2*t^2.011)/g3^2 + g1*g3^6*t^2.913 + 2*g1*g2^6*t^2.945 + (g2^3*t^3.016)/g3^3 + (g3^6*t^3.023)/(g1*g2^12) + g1*g2*g3^5*t^3.918 + (g1*g2^7*t^3.95)/g3 + (g2^4*t^4.021)/g3^4 + (g3^5*t^4.028)/(g1*g2^11) + t^4.06/(g1*g2^5*g3) + 2*g1*g2^2*g3^4*t^4.924 + (3*g1*g2^8*t^4.956)/g3^2 + (g2^5*t^5.027)/g3^5 + (2*g3^4*t^5.034)/(g1*g2^10) + t^5.066/(g1*g2^4*g3^2) + (g1*t^5.428)/(g2^11*g3) + g2^7*g3^11*t^5.464 + g2^13*g3^5*t^5.496 + t^5.538/(g1*g2^23*g3) + g1^2*g3^12*t^5.826 + 2*g1^2*g2^6*g3^6*t^5.858 + 2*g1^2*g2^12*t^5.89 + 2*g1*g2^3*g3^3*t^5.929 + (g3^12*t^5.936)/g2^12 + (3*g1*g2^9*t^5.961)/g3^3 + (g3^6*t^5.968)/g2^6 - 4*t^6. + (g2^6*t^6.032)/g3^6 + (2*g3^3*t^6.039)/(g1*g2^9) + (g3^12*t^6.046)/(g1^2*g2^24) + t^6.071/(g1*g2^3*g3^3) - t^6.11/(g1^2*g2^12) + (g1*t^6.433)/(g2^10*g3^2) + g2^8*g3^10*t^6.469 + g2^14*g3^4*t^6.501 + t^6.543/(g1*g2^22*g3^2) + g1^2*g2*g3^11*t^6.831 + 3*g1^2*g2^7*g3^5*t^6.863 + (g1^2*g2^13*t^6.895)/g3 + 3*g1*g2^4*g3^2*t^6.934 + (2*g3^11*t^6.941)/g2^11 + (4*g1*g2^10*t^6.966)/g3^4 + (3*g3^5*t^6.973)/g2^5 - (g2*t^7.005)/g3 + (3*g3^2*t^7.044)/(g1*g2^8) + (g3^11*t^7.052)/(g1^2*g2^23) + (2*t^7.076)/(g1*g2^2*g3^4) + (g3^5*t^7.084)/(g1^2*g2^17) - t^7.116/(g1^2*g2^11*g3) + (g1^3*g2^3*t^7.328)/g3^3 - g1*g2^18*g3^6*t^7.436 + (2*g1*t^7.438)/(g2^9*g3^3) + g2^3*g3^15*t^7.443 + 2*g2^9*g3^9*t^7.475 - t^7.477/g2^18 + 2*g2^15*g3^3*t^7.507 - t^7.509/(g2^12*g3^6) + (g2^21*t^7.539)/g3^3 - (g2^6*g3^6*t^7.546)/g1 + (2*t^7.549)/(g1*g2^21*g3^3) + t^7.659/(g1^3*g2^33*g3^3) + 3*g1^2*g2^2*g3^10*t^7.837 + 6*g1^2*g2^8*g3^4*t^7.868 + (4*g1^2*g2^14*t^7.9)/g3^2 - (g1*g3^7*t^7.908)/g2 + 2*g1*g2^5*g3*t^7.94 + (4*g3^10*t^7.947)/g2^10 + (4*g1*g2^11*t^7.972)/g3^5 + (5*g3^4*t^7.979)/g2^4 - (3*g2^2*t^8.011)/g3^2 - (g3^7*t^8.018)/(g1*g2^13) + (2*g3*t^8.05)/(g1*g2^7) + (3*g3^10*t^8.057)/(g1^2*g2^22) + (2*t^8.082)/(g1*g2*g3^5) + (2*g3^4*t^8.089)/(g1^2*g2^16) - t^8.121/(g1^2*g2^10*g3^2) + (g1^2*g3^5*t^8.341)/g2^11 + (g1^2*t^8.373)/(g2^5*g3) + g1*g2^7*g3^17*t^8.377 - (g1^2*g2*t^8.404)/g3^7 + 2*g1*g2^13*g3^11*t^8.409 + (2*g1*t^8.444)/(g2^8*g3^4) + (2*g3^5*t^8.451)/g2^23 - (g1*g2^25*t^8.473)/g3 + 2*g2^10*g3^8*t^8.48 + (g3^17*t^8.487)/(g1*g2^5) + 2*g2^16*g3^2*t^8.512 - (2*t^8.515)/(g2^11*g3^7) - (2*g2^7*g3^5*t^8.551)/g1 + (2*t^8.554)/(g1*g2^20*g3^4) + (g3^5*t^8.561)/(g1^2*g2^35) - (g2^13*t^8.583)/(g1*g3) - t^8.593/(g1^2*g2^29*g3) - t^8.625/(g1^2*g2^23*g3^7) + g1^3*g3^18*t^8.739 + 2*g1^3*g2^6*g3^12*t^8.771 + 2*g1^3*g2^12*g3^6*t^8.803 + 2*g1^3*g2^18*t^8.835 + 3*g1^2*g2^3*g3^9*t^8.842 + (g1*g3^18*t^8.849)/g2^12 + 7*g1^2*g2^9*g3^3*t^8.874 + (g1*g3^12*t^8.881)/g2^6 + (4*g1^2*g2^15*t^8.906)/g3^3 - 5*g1*g3^6*t^8.913 - 5*g1*g2^6*t^8.945 + (5*g3^9*t^8.952)/g2^9 + (g3^18*t^8.959)/(g1*g2^24) + (5*g1*g2^12*t^8.977)/g3^6 + (7*g3^3*t^8.984)/g2^3 + (g3^12*t^8.991)/(g1*g2^18) - (g2*t^4.005)/(g3*y) - (g2^2*t^5.011)/(g3^2*y) - (g2^3*t^6.016)/(g3^3*y) - (g1*g2*g3^5*t^6.918)/y - (2*g1*g2^7*t^6.95)/(g3*y) - (2*g2^4*t^7.021)/(g3^4*y) - (g3^5*t^7.028)/(g1*g2^11*y) + (g3*t^7.995)/(g2*y) - (g2^5*t^8.027)/(g3^5*y) + (2*g1^2*g2^6*g3^6*t^8.858)/y + (g1^2*g2^12*t^8.89)/y + (g3^12*t^8.936)/(g2^12*y) + (2*g3^6*t^8.968)/(g2^6*y) - (g2*t^4.005*y)/g3 - (g2^2*t^5.011*y)/g3^2 - (g2^3*t^6.016*y)/g3^3 - g1*g2*g3^5*t^6.918*y - (2*g1*g2^7*t^6.95*y)/g3 - (2*g2^4*t^7.021*y)/g3^4 - (g3^5*t^7.028*y)/(g1*g2^11) + (g3*t^7.995*y)/g2 - (g2^5*t^8.027*y)/g3^5 + 2*g1^2*g2^6*g3^6*t^8.858*y + g1^2*g2^12*t^8.89*y + (g3^12*t^8.936*y)/g2^12 + (2*g3^6*t^8.968*y)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|
57689 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4957 | 1.7262 | 0.8665 | [X:[], M:[0.9832, 0.6815], q:[0.5141, 0.4805], qb:[0.5027, 0.4914], phi:[0.3352]] | t^2.01 + t^2.04 + t^2.92 + 2*t^2.95 + 2*t^3.02 + t^3.92 + 2*t^4.02 + 2*t^4.06 + t^4.09 + 2*t^4.93 + 4*t^4.96 + 2*t^4.99 + 3*t^5.03 + 3*t^5.06 + t^5.43 + t^5.46 + t^5.5 + t^5.53 + t^5.83 + 2*t^5.87 + 2*t^5.9 + 3*t^5.93 + 4*t^5.97 - 4*t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*y | detail | |
57688 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4956 | 1.7251 | 0.867 | [X:[], M:[0.9839, 0.688], q:[0.5147, 0.4824], qb:[0.5014, 0.4952], phi:[0.3344]] | t^2.01 + t^2.06 + t^2.93 + 2*t^2.95 + t^3.01 + t^3.03 + t^3.95 + t^4.01 + t^4.03 + t^4.05 + t^4.07 + t^4.13 + 2*t^4.94 + 3*t^4.96 + t^5. + 3*t^5.02 + 2*t^5.04 + t^5.05 + t^5.07 + t^5.09 + t^5.44 + t^5.48 + t^5.5 + t^5.54 + t^5.87 + 2*t^5.88 + 2*t^5.9 + t^5.94 + 4*t^5.96 + t^5.98 - 4*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*y | detail | |
57686 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4396 | 1.6223 | 0.8874 | [X:[1.344], M:[1.0125], q:[0.5407, 0.5657], qb:[0.4468, 0.4789], phi:[0.328]] | t^2.95 + 2*t^3.04 + t^3.06 + t^3.13 + t^3.95 + t^4.02 + t^4.03 + t^4.04 + t^4.12 + t^4.93 + t^5.01 + t^5.03 + 2*t^5.1 + t^5.2 + 2*t^5.99 - 3*t^6. - t^3.98/y - t^4.97/y - t^3.98*y - t^4.97*y | detail | |
57687 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.445 | 1.6324 | 0.8852 | [X:[1.3412], M:[0.955], q:[0.5869, 0.4968], qb:[0.4581, 0.4816], phi:[0.3294]] | 2*t^2.86 + t^2.94 + t^2.96 + t^3.21 + t^3.85 + t^3.92 + t^4.02 + t^4.12 + t^4.19 + t^4.84 + t^4.91 + t^5.11 + 2*t^5.18 + t^5.25 + 3*t^5.73 + 2*t^5.8 + 2*t^5.83 + t^5.87 + t^5.9 - 3*t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*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 |