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 |
---|---|---|---|---|---|---|---|---|---|
613 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ | 0.7576 | 0.9264 | 0.8177 | [M:[0.8355, 0.7673, 0.8355, 0.7673, 0.7673, 1.1645, 1.1645], q:[0.5482, 0.6164], qb:[0.6164, 0.6164], phi:[0.4007]] | [M:[[-4, -4, 0, 0], [0, 0, -4, -4], [-4, 0, -4, 0], [0, -4, 0, -4], [0, -4, -4, 0], [4, 4, 0, 0], [4, 0, 4, 0]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]] | 4 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -10 | 3*t^2.302 + t^2.404 + 3*t^3.494 + t^4.491 + 6*t^4.604 + 3*t^4.696 + 3*t^4.706 + t^4.808 + 6*t^4.9 + 6*t^5.795 + 3*t^5.898 - 10*t^6. - 3*t^6.205 + 3*t^6.793 + t^6.895 + 10*t^6.906 + 6*t^6.987 + 6*t^6.998 + 6*t^7.008 + 3*t^7.1 + 3*t^7.11 - t^7.192 + 9*t^7.202 + t^7.212 + 6*t^7.304 - 3*t^7.407 + 3*t^7.985 - t^8.087 + 9*t^8.097 + 6*t^8.189 + 6*t^8.2 - 3*t^8.292 - 21*t^8.302 + 9*t^8.394 - 10*t^8.404 - 6*t^8.496 - 6*t^8.506 - 3*t^8.598 - 3*t^8.609 + t^8.711 + t^8.982 - t^4.202/y - (3*t^6.504)/y - t^6.606/y + (3*t^7.604)/y + (3*t^7.706)/y + t^7.798/y + (3*t^7.9)/y + (9*t^8.795)/y - (6*t^8.806)/y + (3*t^8.898)/y - (3*t^8.908)/y - t^4.202*y - 3*t^6.504*y - t^6.606*y + 3*t^7.604*y + 3*t^7.706*y + t^7.798*y + 3*t^7.9*y + 9*t^8.795*y - 6*t^8.806*y + 3*t^8.898*y - 3*t^8.908*y | t^2.302/(g2^4*g3^4) + t^2.302/(g2^4*g4^4) + t^2.302/(g3^4*g4^4) + t^2.404/(g1^2*g2^2*g3^2*g4^2) + g1^4*g2^4*t^3.494 + g1^4*g3^4*t^3.494 + g1^4*g4^4*t^3.494 + (g1^7*t^4.491)/(g2*g3*g4) + t^4.604/(g2^8*g3^8) + t^4.604/(g2^8*g4^8) + t^4.604/(g3^8*g4^8) + t^4.604/(g2^4*g3^4*g4^8) + t^4.604/(g2^4*g3^8*g4^4) + t^4.604/(g2^8*g3^4*g4^4) + (g1^3*g2^3*t^4.696)/(g3*g4) + (g1^3*g3^3*t^4.696)/(g2*g4) + (g1^3*g4^3*t^4.696)/(g2*g3) + t^4.706/(g1^2*g2^2*g3^6*g4^6) + t^4.706/(g1^2*g2^6*g3^2*g4^6) + t^4.706/(g1^2*g2^6*g3^6*g4^2) + t^4.808/(g1^4*g2^4*g3^4*g4^4) + (g2^7*t^4.9)/(g1*g3*g4) + (g2^3*g3^3*t^4.9)/(g1*g4) + (g3^7*t^4.9)/(g1*g2*g4) + (g2^3*g4^3*t^4.9)/(g1*g3) + (g3^3*g4^3*t^4.9)/(g1*g2) + (g4^7*t^4.9)/(g1*g2*g3) + (g1^4*t^5.795)/g2^4 + (g1^4*t^5.795)/g3^4 + (g1^4*t^5.795)/g4^4 + (g1^4*g2^4*t^5.795)/(g3^4*g4^4) + (g1^4*g3^4*t^5.795)/(g2^4*g4^4) + (g1^4*g4^4*t^5.795)/(g2^4*g3^4) + (g1^2*g2^2*t^5.898)/(g3^2*g4^2) + (g1^2*g3^2*t^5.898)/(g2^2*g4^2) + (g1^2*g4^2*t^5.898)/(g2^2*g3^2) - 4*t^6. - (g2^4*t^6.)/g3^4 - (g3^4*t^6.)/g2^4 - (g2^4*t^6.)/g4^4 - (g3^4*t^6.)/g4^4 - (g4^4*t^6.)/g2^4 - (g4^4*t^6.)/g3^4 - (g2^4*t^6.205)/g1^4 - (g3^4*t^6.205)/g1^4 - (g4^4*t^6.205)/g1^4 + (g1^7*t^6.793)/(g2*g3^5*g4^5) + (g1^7*t^6.793)/(g2^5*g3*g4^5) + (g1^7*t^6.793)/(g2^5*g3^5*g4) + (g1^5*t^6.895)/(g2^3*g3^3*g4^3) + t^6.906/(g2^12*g3^12) + t^6.906/(g2^12*g4^12) + t^6.906/(g3^12*g4^12) + t^6.906/(g2^4*g3^8*g4^12) + t^6.906/(g2^8*g3^4*g4^12) + t^6.906/(g2^4*g3^12*g4^8) + t^6.906/(g2^8*g3^8*g4^8) + t^6.906/(g2^12*g3^4*g4^8) + t^6.906/(g2^8*g3^12*g4^4) + t^6.906/(g2^12*g3^8*g4^4) + g1^8*g2^8*t^6.987 + g1^8*g2^4*g3^4*t^6.987 + g1^8*g3^8*t^6.987 + g1^8*g2^4*g4^4*t^6.987 + g1^8*g3^4*g4^4*t^6.987 + g1^8*g4^8*t^6.987 + (g1^3*g2^3*t^6.998)/(g3^5*g4^5) + (g1^3*t^6.998)/(g2*g3*g4^5) + (g1^3*g3^3*t^6.998)/(g2^5*g4^5) + (g1^3*t^6.998)/(g2*g3^5*g4) + (g1^3*t^6.998)/(g2^5*g3*g4) + (g1^3*g4^3*t^6.998)/(g2^5*g3^5) + t^7.008/(g1^2*g2^2*g3^10*g4^10) + t^7.008/(g1^2*g2^6*g3^6*g4^10) + t^7.008/(g1^2*g2^10*g3^2*g4^10) + t^7.008/(g1^2*g2^6*g3^10*g4^6) + t^7.008/(g1^2*g2^10*g3^6*g4^6) + t^7.008/(g1^2*g2^10*g3^10*g4^2) + (g1*g2*t^7.1)/(g3^3*g4^3) + (g1*g3*t^7.1)/(g2^3*g4^3) + (g1*g4*t^7.1)/(g2^3*g3^3) + t^7.11/(g1^4*g2^4*g3^8*g4^8) + t^7.11/(g1^4*g2^8*g3^4*g4^8) + t^7.11/(g1^4*g2^8*g3^8*g4^4) - g1^4*g2^4*g3^4*g4^4*t^7.192 + (g2^7*t^7.202)/(g1*g3^5*g4^5) + (g2^3*t^7.202)/(g1*g3*g4^5) + (g3^3*t^7.202)/(g1*g2*g4^5) + (g3^7*t^7.202)/(g1*g2^5*g4^5) + (g2^3*t^7.202)/(g1*g3^5*g4) + (g3^3*t^7.202)/(g1*g2^5*g4) + (g4^3*t^7.202)/(g1*g2*g3^5) + (g4^3*t^7.202)/(g1*g2^5*g3) + (g4^7*t^7.202)/(g1*g2^5*g3^5) + t^7.212/(g1^6*g2^6*g3^6*g4^6) + (g2^5*t^7.304)/(g1^3*g3^3*g4^3) + (g2*g3*t^7.304)/(g1^3*g4^3) + (g3^5*t^7.304)/(g1^3*g2^3*g4^3) + (g2*g4*t^7.304)/(g1^3*g3^3) + (g3*g4*t^7.304)/(g1^3*g2^3) + (g4^5*t^7.304)/(g1^3*g2^3*g3^3) - (g2^3*t^7.407)/(g1^5*g3*g4) - (g3^3*t^7.407)/(g1^5*g2*g4) - (g4^3*t^7.407)/(g1^5*g2*g3) + (g1^11*g2^3*t^7.985)/(g3*g4) + (g1^11*g3^3*t^7.985)/(g2*g4) + (g1^11*g4^3*t^7.985)/(g2*g3) - g1^9*g2*g3*g4*t^8.087 + (g1^4*t^8.097)/(g2^4*g3^8) + (g1^4*t^8.097)/(g2^8*g3^4) + (g1^4*t^8.097)/(g2^4*g4^8) + (g1^4*g2^4*t^8.097)/(g3^8*g4^8) + (g1^4*t^8.097)/(g3^4*g4^8) + (g1^4*g3^4*t^8.097)/(g2^8*g4^8) + (g1^4*t^8.097)/(g2^8*g4^4) + (g1^4*t^8.097)/(g3^8*g4^4) + (g1^4*g4^4*t^8.097)/(g2^8*g3^8) + (g1^7*g2^7*t^8.189)/(g3*g4) + (g1^7*g2^3*g3^3*t^8.189)/g4 + (g1^7*g3^7*t^8.189)/(g2*g4) + (g1^7*g2^3*g4^3*t^8.189)/g3 + (g1^7*g3^3*g4^3*t^8.189)/g2 + (g1^7*g4^7*t^8.189)/(g2*g3) + (g1^2*g2^2*t^8.2)/(g3^6*g4^6) + (g1^2*t^8.2)/(g2^2*g3^2*g4^6) + (g1^2*g3^2*t^8.2)/(g2^6*g4^6) + (g1^2*t^8.2)/(g2^2*g3^6*g4^2) + (g1^2*t^8.2)/(g2^6*g3^2*g4^2) + (g1^2*g4^2*t^8.2)/(g2^6*g3^6) - g1^5*g2^5*g3*g4*t^8.292 - g1^5*g2*g3^5*g4*t^8.292 - g1^5*g2*g3*g4^5*t^8.292 - t^8.302/g2^8 - t^8.302/g3^8 - (4*t^8.302)/(g2^4*g3^4) - t^8.302/g4^8 - (g2^4*t^8.302)/(g3^4*g4^8) - (g3^4*t^8.302)/(g2^4*g4^8) - (4*t^8.302)/(g2^4*g4^4) - (g2^4*t^8.302)/(g3^8*g4^4) - (4*t^8.302)/(g3^4*g4^4) - (g3^4*t^8.302)/(g2^8*g4^4) - (g4^4*t^8.302)/(g2^4*g3^8) - (g4^4*t^8.302)/(g2^8*g3^4) + (g1^3*g2^11*t^8.394)/(g3*g4) + (g1^3*g2^7*g3^3*t^8.394)/g4 + (g1^3*g2^3*g3^7*t^8.394)/g4 + (g1^3*g3^11*t^8.394)/(g2*g4) + (g1^3*g2^7*g4^3*t^8.394)/g3 + (g1^3*g3^7*g4^3*t^8.394)/g2 + (g1^3*g2^3*g4^7*t^8.394)/g3 + (g1^3*g3^3*g4^7*t^8.394)/g2 + (g1^3*g4^11*t^8.394)/(g2*g3) - (g2^2*t^8.404)/(g1^2*g3^2*g4^6) - (g3^2*t^8.404)/(g1^2*g2^2*g4^6) - (g2^2*t^8.404)/(g1^2*g3^6*g4^2) - (4*t^8.404)/(g1^2*g2^2*g3^2*g4^2) - (g3^2*t^8.404)/(g1^2*g2^6*g4^2) - (g4^2*t^8.404)/(g1^2*g2^2*g3^6) - (g4^2*t^8.404)/(g1^2*g2^6*g3^2) - g1*g2^9*g3*g4*t^8.496 - g1*g2^5*g3^5*g4*t^8.496 - g1*g2*g3^9*g4*t^8.496 - g1*g2^5*g3*g4^5*t^8.496 - g1*g2*g3^5*g4^5*t^8.496 - g1*g2*g3*g4^9*t^8.496 - t^8.506/(g1^4*g2^4) - t^8.506/(g1^4*g3^4) - t^8.506/(g1^4*g4^4) - (g2^4*t^8.506)/(g1^4*g3^4*g4^4) - (g3^4*t^8.506)/(g1^4*g2^4*g4^4) - (g4^4*t^8.506)/(g1^4*g2^4*g3^4) - (g2^7*g3^3*g4^3*t^8.598)/g1 - (g2^3*g3^7*g4^3*t^8.598)/g1 - (g2^3*g3^3*g4^7*t^8.598)/g1 - (g2^2*t^8.609)/(g1^6*g3^2*g4^2) - (g3^2*t^8.609)/(g1^6*g2^2*g4^2) - (g4^2*t^8.609)/(g1^6*g2^2*g3^2) + t^8.711/g1^8 + (g1^14*t^8.982)/(g2^2*g3^2*g4^2) - t^4.202/(g1*g2*g3*g4*y) - t^6.504/(g1*g2*g3^5*g4^5*y) - t^6.504/(g1*g2^5*g3*g4^5*y) - t^6.504/(g1*g2^5*g3^5*g4*y) - t^6.606/(g1^3*g2^3*g3^3*g4^3*y) + t^7.604/(g2^4*g3^4*g4^8*y) + t^7.604/(g2^4*g3^8*g4^4*y) + t^7.604/(g2^8*g3^4*g4^4*y) + t^7.706/(g1^2*g2^2*g3^6*g4^6*y) + t^7.706/(g1^2*g2^6*g3^2*g4^6*y) + t^7.706/(g1^2*g2^6*g3^6*g4^2*y) + (g1*g2*g3*g4*t^7.798)/y + (g2^3*g3^3*t^7.9)/(g1*g4*y) + (g2^3*g4^3*t^7.9)/(g1*g3*y) + (g3^3*g4^3*t^7.9)/(g1*g2*y) + (2*g1^4*t^8.795)/(g2^4*y) + (2*g1^4*t^8.795)/(g3^4*y) + (2*g1^4*t^8.795)/(g4^4*y) + (g1^4*g2^4*t^8.795)/(g3^4*g4^4*y) + (g1^4*g3^4*t^8.795)/(g2^4*g4^4*y) + (g1^4*g4^4*t^8.795)/(g2^4*g3^4*y) - t^8.806/(g1*g2*g3^9*g4^9*y) - t^8.806/(g1*g2^5*g3^5*g4^9*y) - t^8.806/(g1*g2^9*g3*g4^9*y) - t^8.806/(g1*g2^5*g3^9*g4^5*y) - t^8.806/(g1*g2^9*g3^5*g4^5*y) - t^8.806/(g1*g2^9*g3^9*g4*y) + (g1^2*g2^2*t^8.898)/(g3^2*g4^2*y) + (g1^2*g3^2*t^8.898)/(g2^2*g4^2*y) + (g1^2*g4^2*t^8.898)/(g2^2*g3^2*y) - t^8.908/(g1^3*g2^3*g3^7*g4^7*y) - t^8.908/(g1^3*g2^7*g3^3*g4^7*y) - t^8.908/(g1^3*g2^7*g3^7*g4^3*y) - (t^4.202*y)/(g1*g2*g3*g4) - (t^6.504*y)/(g1*g2*g3^5*g4^5) - (t^6.504*y)/(g1*g2^5*g3*g4^5) - (t^6.504*y)/(g1*g2^5*g3^5*g4) - (t^6.606*y)/(g1^3*g2^3*g3^3*g4^3) + (t^7.604*y)/(g2^4*g3^4*g4^8) + (t^7.604*y)/(g2^4*g3^8*g4^4) + (t^7.604*y)/(g2^8*g3^4*g4^4) + (t^7.706*y)/(g1^2*g2^2*g3^6*g4^6) + (t^7.706*y)/(g1^2*g2^6*g3^2*g4^6) + (t^7.706*y)/(g1^2*g2^6*g3^6*g4^2) + g1*g2*g3*g4*t^7.798*y + (g2^3*g3^3*t^7.9*y)/(g1*g4) + (g2^3*g4^3*t^7.9*y)/(g1*g3) + (g3^3*g4^3*t^7.9*y)/(g1*g2) + (2*g1^4*t^8.795*y)/g2^4 + (2*g1^4*t^8.795*y)/g3^4 + (2*g1^4*t^8.795*y)/g4^4 + (g1^4*g2^4*t^8.795*y)/(g3^4*g4^4) + (g1^4*g3^4*t^8.795*y)/(g2^4*g4^4) + (g1^4*g4^4*t^8.795*y)/(g2^4*g3^4) - (t^8.806*y)/(g1*g2*g3^9*g4^9) - (t^8.806*y)/(g1*g2^5*g3^5*g4^9) - (t^8.806*y)/(g1*g2^9*g3*g4^9) - (t^8.806*y)/(g1*g2^5*g3^9*g4^5) - (t^8.806*y)/(g1*g2^9*g3^5*g4^5) - (t^8.806*y)/(g1*g2^9*g3^9*g4) + (g1^2*g2^2*t^8.898*y)/(g3^2*g4^2) + (g1^2*g3^2*t^8.898*y)/(g2^2*g4^2) + (g1^2*g4^2*t^8.898*y)/(g2^2*g3^2) - (t^8.908*y)/(g1^3*g2^3*g3^7*g4^7) - (t^8.908*y)/(g1^3*g2^7*g3^3*g4^7) - (t^8.908*y)/(g1^3*g2^7*g3^7*g4^3) |
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 |
---|---|---|---|---|---|---|---|---|
999 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}^{4}$ | 0.6988 | 0.8648 | 0.8081 | [M:[1.0516, 0.9484, 1.0516, 0.9484, 0.9484, 0.9484, 0.9484], q:[0.4226, 0.5258], qb:[0.5258, 0.5258], phi:[0.5]] | 6*t^2.845 + t^3. + t^4.036 + 3*t^4.345 + 6*t^4.655 + 18*t^5.691 + 6*t^5.845 - 10*t^6. - t^4.5/y - t^4.5*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
374 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ | 0.7737 | 0.9544 | 0.8107 | [M:[0.812, 0.7498, 0.7801, 0.7817, 0.7498, 1.188], q:[0.5788, 0.6091], qb:[0.641, 0.6091], phi:[0.3905]] | 2*t^2.249 + t^2.34 + t^2.343 + t^2.345 + 2*t^3.564 + 3*t^4.499 + 2*t^4.59 + 2*t^4.592 + 2*t^4.595 + t^4.644 + t^4.681 + t^4.683 + 2*t^4.686 + t^4.688 + t^4.69 + 2*t^4.735 + 3*t^4.826 + t^4.831 + 2*t^4.922 + t^5.018 + 3*t^5.813 + 2*t^5.907 - 6*t^6. - t^4.171/y - t^4.171*y | detail |