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 |
---|---|---|---|---|---|---|---|---|---|
988 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.6613 | 0.8142 | 0.8122 | [M:[1.0162, 0.7677, 0.9447, 0.8391, 1.1609, 1.0553], q:[0.6, 0.3838], qb:[0.4553, 0.777], phi:[0.446]] | [M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [1, 15]], 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 |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.303 + t^2.517 + t^2.676 + t^3.048 + t^3.166 + t^3.483 + t^3.641 + t^3.855 + t^4.07 + t^4.131 + t^4.289 + t^4.504 + t^4.606 + t^4.82 + t^4.938 + t^4.979 + t^5.035 + t^5.193 + t^5.352 + t^5.469 + t^5.683 + t^5.724 + t^5.842 + t^5.944 - 2*t^6. + t^6.097 + 2*t^6.158 + t^6.317 + t^6.332 + t^6.373 + t^6.531 + t^6.587 + t^6.592 + t^6.745 + 2*t^6.807 + t^6.909 + t^7.021 + t^7.118 + t^7.123 + t^7.236 + t^7.241 + 2*t^7.282 + t^7.297 - t^7.394 + t^7.455 + 2*t^7.496 + t^7.552 + t^7.614 + t^7.655 + t^7.67 + 2*t^7.711 + t^7.772 - t^7.828 + t^7.925 + t^7.93 + t^7.986 + t^8.027 + t^8.104 + t^8.139 + t^8.145 + t^8.201 + t^8.247 - 3*t^8.303 + t^8.359 + 2*t^8.4 + t^8.42 + t^8.461 - 2*t^8.517 + t^8.574 + t^8.579 + t^8.62 + t^8.635 - t^8.676 - t^8.732 + t^8.773 + t^8.834 + t^8.849 + t^8.89 + t^8.895 - 2*t^8.952 - t^4.338/y - t^6.641/y - t^7.014/y + t^7.289/y - t^7.386/y + t^7.662/y + t^7.82/y + t^7.979/y + t^8.035/y + t^8.193/y + t^8.352/y + t^8.469/y + t^8.566/y + t^8.683/y + t^8.724/y + t^8.786/y + t^8.842/y - t^4.338*y - t^6.641*y - t^7.014*y + t^7.289*y - t^7.386*y + t^7.662*y + t^7.82*y + t^7.979*y + t^8.035*y + t^8.193*y + t^8.352*y + t^8.469*y + t^8.566*y + t^8.683*y + t^8.724*y + t^8.786*y + t^8.842*y | t^2.303/(g1^2*g2^2) + (g1*t^2.517)/g2 + t^2.676/g2^8 + (g1^2*t^3.048)/g2^14 + g1*g2^15*t^3.166 + (g2*t^3.483)/g1 + t^3.641/(g1^2*g2^6) + (g1*t^3.855)/g2^5 + (g1^4*t^4.07)/g2^4 + (g2^17*t^4.131)/g1 + (g2^10*t^4.289)/g1^2 + g1*g2^11*t^4.504 + t^4.606/(g1^4*g2^4) + t^4.82/(g1*g2^3) + (g2^26*t^4.938)/g1^2 + t^4.979/(g1^2*g2^10) + (g1^2*t^5.035)/g2^2 + (g1*t^5.193)/g2^9 + t^5.352/g2^16 + (g2^13*t^5.469)/g1 + g1^2*g2^14*t^5.683 + (g1^2*t^5.724)/g2^22 + g1*g2^7*t^5.842 + t^5.944/(g1^4*g2^8) - 2*t^6. + (g1^4*t^6.097)/g2^28 + (2*t^6.158)/(g1*g2^7) + t^6.317/(g1^2*g2^14) + g1^2*g2^30*t^6.332 + (g1^2*t^6.373)/g2^6 + (g1*t^6.531)/g2^13 + (g1^5*t^6.587)/g2^5 + (g2^8*t^6.592)/g1^4 + (g1^4*t^6.745)/g2^12 + (2*g2^9*t^6.807)/g1 + t^6.909/(g1^6*g2^6) + g1^2*g2^10*t^7.021 + (g1^6*t^7.118)/g2^18 + t^7.123/(g1^3*g2^5) + g1^5*g2^11*t^7.236 + (g2^24*t^7.241)/g1^4 + (2*t^7.282)/(g1^4*g2^12) + g2^32*t^7.297 - g1^4*g2^4*t^7.394 + (g2^25*t^7.455)/g1 + (2*t^7.496)/(g1*g2^11) + (g1^3*t^7.552)/g2^3 + (g2^18*t^7.614)/g1^2 + t^7.655/(g1^2*g2^18) + g1^2*g2^26*t^7.67 + (2*g1^2*t^7.711)/g2^10 + (g2^11*t^7.772)/g1^3 - g1*g2^19*t^7.828 + (g1^5*t^7.925)/g2^9 + (g2^4*t^7.93)/g1^4 + g2^12*t^7.986 + t^8.027/g2^24 + (g2^41*t^8.104)/g1 + (g1^8*t^8.139)/g2^8 + (g2^5*t^8.145)/g1 + g1^3*g2^13*t^8.201 + t^8.247/(g1^6*g2^10) - (3*t^8.303)/(g1^2*g2^2) + g1^2*g2^6*t^8.359 + (2*g1^2*t^8.4)/g2^30 + (g2^27*t^8.42)/g1^3 + t^8.461/(g1^3*g2^9) - (2*g1*t^8.517)/g2 + g1^5*g2^7*t^8.574 + (g2^20*t^8.579)/g1^4 + t^8.62/(g1^4*g2^16) + g2^28*t^8.635 - t^8.676/g2^8 - g1^4*t^8.732 + (g1^4*t^8.773)/g2^36 + t^8.834/(g1*g2^15) + g1^3*g2^29*t^8.849 + (g1^3*t^8.89)/g2^7 + (g2^6*t^8.895)/g1^6 - (2*g2^14*t^8.952)/g1^2 - t^4.338/(g2^4*y) - t^6.641/(g1^2*g2^6*y) - t^7.014/(g2^12*y) + (g2^10*t^7.289)/(g1^2*y) - (g1^2*t^7.386)/(g2^18*y) + (g2^4*t^7.662)/y + t^7.82/(g1*g2^3*y) + t^7.979/(g1^2*g2^10*y) + (g1^2*t^8.035)/(g2^2*y) + (g1*t^8.193)/(g2^9*y) + t^8.352/(g2^16*y) + (g2^13*t^8.469)/(g1*y) + (g1^3*t^8.566)/(g2^15*y) + (g1^2*g2^14*t^8.683)/y + (g1^2*t^8.724)/(g2^22*y) + t^8.786/(g1^3*g2*y) + (g1*g2^7*t^8.842)/y - (t^4.338*y)/g2^4 - (t^6.641*y)/(g1^2*g2^6) - (t^7.014*y)/g2^12 + (g2^10*t^7.289*y)/g1^2 - (g1^2*t^7.386*y)/g2^18 + g2^4*t^7.662*y + (t^7.82*y)/(g1*g2^3) + (t^7.979*y)/(g1^2*g2^10) + (g1^2*t^8.035*y)/g2^2 + (g1*t^8.193*y)/g2^9 + (t^8.352*y)/g2^16 + (g2^13*t^8.469*y)/g1 + (g1^3*t^8.566*y)/g2^15 + g1^2*g2^14*t^8.683*y + (g1^2*t^8.724*y)/g2^22 + (t^8.786*y)/(g1^3*g2) + g1*g2^7*t^8.842*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 |
---|---|---|---|---|---|---|---|---|
1562 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ | 0.5908 | 0.7459 | 0.7921 | [M:[0.9267, 1.0, 1.1859, 0.7408, 1.2592, 0.8141], q:[0.5733, 0.5], qb:[0.2408, 0.7592], phi:[0.4817]] | t^2.223 + t^2.442 + t^2.78 + 2*t^2.89 + t^3. + t^3.668 + t^3.777 + t^3.887 + t^3.997 + 2*t^4.445 + 2*t^4.665 + 2*t^4.885 + 2*t^5.113 + t^5.223 + 2*t^5.332 + t^5.442 + t^5.56 + 2*t^5.67 + 3*t^5.78 + 2*t^5.89 - 2*t^6. - t^4.445/y - t^4.445*y | detail | |
1564 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6793 | 0.8474 | 0.8016 | [M:[1.0148, 0.788, 0.9715, 0.8313, 1.1687, 1.0285, 0.7613], q:[0.5912, 0.394], qb:[0.4373, 0.7746], phi:[0.4507]] | t^2.284 + t^2.364 + t^2.494 + t^2.704 + t^3.044 + t^3.086 + t^3.506 + t^3.846 + t^3.976 + t^4.097 + t^4.308 + t^4.438 + t^4.568 + t^4.648 + t^4.728 + t^4.778 + t^4.858 + t^4.899 + 2*t^4.988 + t^5.068 + t^5.198 + t^5.328 + t^5.369 + t^5.408 + t^5.45 + t^5.58 + t^5.749 + 2*t^5.79 - 2*t^6. - t^4.352/y - t^4.352*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 |
---|---|---|---|---|---|---|---|---|---|
609 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6698 | 0.8297 | 0.8073 | [M:[0.9823, 0.7363, 0.8719, 0.8467, 1.1533], q:[0.6495, 0.3682], qb:[0.4785, 0.7852], phi:[0.4297]] | t^2.209 + t^2.54 + t^2.578 + t^2.616 + t^2.947 + t^3.46 + t^3.498 + t^3.829 + t^4.16 + t^4.304 + t^4.342 + t^4.418 + t^4.673 + t^4.749 + t^4.787 + t^4.825 + t^5.08 + t^5.118 + 2*t^5.156 + t^5.186 + t^5.194 + t^5.232 + t^5.525 + t^5.563 + t^5.707 + t^5.894 - 2*t^6. - t^4.289/y - t^4.289*y | detail |