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 |
---|---|---|---|---|---|---|---|---|---|
2652 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6637 | 0.8211 | 0.8083 | [M:[1.0146, 0.7862, 0.9689, 0.832, 1.168, 0.7178, 1.0311, 1.2138], q:[0.5922, 0.3931], qb:[0.4389, 0.7749], phi:[0.4502]] | [M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [-1, 5], [1, 15], [2, 2]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -2 | t^2.153 + t^2.496 + t^2.701 + t^3.044 + t^3.093 + t^3.504 + t^3.641 + t^3.709 + t^3.984 + t^4.101 + 2*t^4.307 + t^4.444 + t^4.649 + t^4.855 + t^4.904 + t^4.992 + 2*t^5.197 + t^5.247 + t^5.589 + t^5.657 + t^5.745 + 2*t^5.795 - 2*t^6. + t^6.088 + 2*t^6.137 + t^6.187 + t^6.205 + t^6.255 + t^6.411 + t^6.46 + t^6.48 + t^6.597 + 2*t^6.685 + t^6.735 + 2*t^6.803 - t^6.891 + t^7.008 + t^7.028 + t^7.057 + t^7.077 + 2*t^7.145 + t^7.195 + t^7.351 + 2*t^7.4 + t^7.419 + t^7.488 + t^7.537 + t^7.605 + t^7.625 + t^7.693 + t^7.743 + t^7.811 + t^7.899 + 2*t^7.948 + t^7.968 + t^7.997 + t^8.016 + 2*t^8.085 - 3*t^8.153 + t^8.241 + 2*t^8.291 + t^8.34 + 2*t^8.408 + t^8.428 + t^8.447 - 2*t^8.496 + t^8.545 + 2*t^8.613 + t^8.633 + t^8.683 - 2*t^8.701 + t^8.789 + 2*t^8.839 + 3*t^8.888 + t^8.976 - t^4.351/y - t^6.504/y - t^7.052/y + t^7.307/y - t^7.395/y + (2*t^7.649)/y + t^7.855/y + (3*t^8.197)/y + t^8.247/y + t^8.54/y + t^8.589/y + t^8.745/y + (2*t^8.795)/y + t^8.863/y - t^4.351*y - t^6.504*y - t^7.052*y + t^7.307*y - t^7.395*y + 2*t^7.649*y + t^7.855*y + 3*t^8.197*y + t^8.247*y + t^8.54*y + t^8.589*y + t^8.745*y + 2*t^8.795*y + t^8.863*y | (g2^5*t^2.153)/g1 + (g1*t^2.496)/g2 + t^2.701/g2^8 + (g1^2*t^3.044)/g2^14 + g1*g2^15*t^3.093 + (g2*t^3.504)/g1 + g1^2*g2^2*t^3.641 + t^3.709/(g1^2*g2^6) + (g1^4*t^3.984)/g2^4 + (g2^17*t^4.101)/g1 + (2*g2^10*t^4.307)/g1^2 + g1*g2^11*t^4.444 + g2^4*t^4.649 + t^4.855/(g1*g2^3) + (g2^26*t^4.904)/g1^2 + (g1^2*t^4.992)/g2^2 + (2*g1*t^5.197)/g2^9 + g2^20*t^5.247 + g1^2*g2^14*t^5.589 + (g2^6*t^5.657)/g1^2 + (g1^2*t^5.745)/g2^22 + 2*g1*g2^7*t^5.795 - 2*t^6. + (g1^4*t^6.088)/g2^28 + 2*g1^3*g2*t^6.137 + g1^2*g2^30*t^6.187 + t^6.205/(g1*g2^7) + (g2^22*t^6.255)/g1^2 + t^6.411/(g1^2*g2^14) + (g2^15*t^6.46)/g1^3 + (g1^5*t^6.48)/g2^5 + g2^16*t^6.597 + (2*g1^4*t^6.685)/g2^12 + g1^3*g2^17*t^6.735 + (2*g2^9*t^6.803)/g1 - (g1^3*t^6.891)/g2^19 + (g2^2*t^7.008)/g1^2 + (g1^6*t^7.028)/g2^18 + (g2^31*t^7.057)/g1^3 + g1^5*g2^11*t^7.077 + 2*g1*g2^3*t^7.145 + g2^32*t^7.195 + t^7.351/g2^4 + (2*g2^25*t^7.4)/g1 + t^7.419/(g1^4*g2^12) + (g1^3*t^7.488)/g2^3 + g1^2*g2^26*t^7.537 + (g2^18*t^7.605)/g1^2 + (g1^6*t^7.625)/g2^2 + (g1^2*t^7.693)/g2^10 + g1*g2^19*t^7.743 + (g2^11*t^7.811)/g1^3 + (g1*t^7.899)/g2^17 + 2*g2^12*t^7.948 + (g1^8*t^7.968)/g2^8 + (g2^41*t^7.997)/g1 + (g2^4*t^8.016)/g1^4 + 2*g1^3*g2^13*t^8.085 - (3*g2^5*t^8.153)/g1 + (g1^3*t^8.241)/g2^23 + 2*g1^2*g2^6*t^8.291 + g1*g2^35*t^8.34 + (2*g2^27*t^8.408)/g1^3 + g1^5*g2^7*t^8.428 + (g1^2*t^8.447)/g2^30 - (2*g1*t^8.496)/g2 + g2^28*t^8.545 + (2*g2^20*t^8.613)/g1^4 + g1^4*t^8.633 + g1^3*g2^29*t^8.683 - (2*t^8.701)/g2^8 + (g1^4*t^8.789)/g2^36 + (2*g1^3*t^8.839)/g2^7 + 3*g1^2*g2^22*t^8.888 + (g1^6*t^8.976)/g2^6 - t^4.351/(g2^4*y) - (g2*t^6.504)/(g1*y) - t^7.052/(g2^12*y) + (g2^10*t^7.307)/(g1^2*y) - (g1^2*t^7.395)/(g2^18*y) + (2*g2^4*t^7.649)/y + t^7.855/(g1*g2^3*y) + (3*g1*t^8.197)/(g2^9*y) + (g2^20*t^8.247)/y + (g1^3*t^8.54)/(g2^15*y) + (g1^2*g2^14*t^8.589)/y + (g1^2*t^8.745)/(g2^22*y) + (2*g1*g2^7*t^8.795)/y + t^8.863/(g1^3*g2*y) - (t^4.351*y)/g2^4 - (g2*t^6.504*y)/g1 - (t^7.052*y)/g2^12 + (g2^10*t^7.307*y)/g1^2 - (g1^2*t^7.395*y)/g2^18 + 2*g2^4*t^7.649*y + (t^7.855*y)/(g1*g2^3) + (3*g1*t^8.197*y)/g2^9 + g2^20*t^8.247*y + (g1^3*t^8.54*y)/g2^15 + g1^2*g2^14*t^8.589*y + (g1^2*t^8.745*y)/g2^22 + 2*g1*g2^7*t^8.795*y + (t^8.863*y)/(g1^3*g2) |
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 |
---|---|---|---|---|---|---|---|---|
4799 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{6}M_{7}$ | 0.6396 | 0.787 | 0.8126 | [M:[0.8811, 0.7189, 0.7595, 0.8405, 1.1595, 0.7595, 1.2405, 1.2811], q:[0.7595, 0.3595], qb:[0.4811, 0.8], phi:[0.4]] | t^2.278 + t^2.4 + t^2.522 + t^2.643 + t^3.357 + t^3.478 + t^3.722 + t^3.843 + t^4.087 + 2*t^4.557 + 2*t^4.678 + t^4.8 + 3*t^4.922 + 2*t^5.043 + t^5.287 + 3*t^5.757 + t^5.878 - t^6. - t^4.2/y - t^4.2*y | detail | |
4803 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6845 | 0.8625 | 0.7936 | [M:[1.0156, 0.785, 0.968, 0.8326, 1.1674, 0.7173, 1.032, 1.215, 0.6696], q:[0.5919, 0.3925], qb:[0.4401, 0.7749], phi:[0.4502]] | t^2.009 + t^2.152 + t^2.498 + t^2.701 + t^3.047 + t^3.096 + t^3.502 + t^3.645 + t^3.705 + t^4.018 + t^4.1 + t^4.161 + 2*t^4.304 + t^4.446 + t^4.507 + t^4.65 + t^4.71 + t^4.853 + t^4.902 + t^4.996 + t^5.056 + t^5.105 + 2*t^5.199 + t^5.248 + t^5.511 + t^5.594 + 2*t^5.654 + t^5.714 + t^5.748 + 2*t^5.797 - 2*t^6. - t^4.35/y - t^4.35*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 |
---|---|---|---|---|---|---|---|---|---|
1552 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6816 | 0.8525 | 0.7995 | [M:[1.0231, 0.765, 0.9471, 0.841, 1.159, 0.712, 1.0529], q:[0.5944, 0.3825], qb:[0.4585, 0.7765], phi:[0.447]] | t^2.136 + t^2.295 + t^2.523 + t^2.682 + t^3.069 + t^3.159 + t^3.477 + t^3.636 + t^4.092 + t^4.113 + 2*t^4.272 + t^4.431 + t^4.5 + t^4.59 + t^4.659 + 2*t^4.818 + t^4.907 + t^4.977 + t^5.046 + 2*t^5.205 + t^5.295 + t^5.364 + t^5.454 + t^5.613 + t^5.682 + t^5.751 + t^5.772 + t^5.841 + t^5.931 - 2*t^6. - t^4.341/y - t^4.341*y | detail |