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 |
---|---|---|---|---|---|---|---|---|---|
46578 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6442 | 0.847 | 0.7605 | [M:[0.719, 0.7359, 1.0, 0.737, 1.0181], q:[0.7545, 0.5265], qb:[0.5096, 0.2455], phi:[0.491]] | [M:[[1, 9], [-1, 1], [0, 0], [1, 5], [0, -4]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | -2 | t^2.157 + t^2.208 + t^2.211 + t^2.265 + t^2.316 + t^2.946 + t^3. + t^3.054 + t^3.108 + t^3.738 + t^4.314 + t^4.365 + t^4.368 + t^4.415 + t^4.419 + 2*t^4.422 + 2*t^4.473 + t^4.476 + t^4.524 + t^4.527 + 2*t^4.53 + 2*t^4.581 + 2*t^4.632 + t^5.103 + t^5.154 + t^5.157 + 3*t^5.211 + 2*t^5.262 + 3*t^5.265 + 2*t^5.316 + 2*t^5.319 + t^5.37 + t^5.373 + t^5.424 + t^5.892 + t^5.895 + t^5.946 - 2*t^6. + t^6.003 - t^6.051 + 2*t^6.054 + t^6.108 + t^6.162 + t^6.217 + t^6.471 + t^6.521 + t^6.525 + t^6.572 + t^6.576 + 2*t^6.579 + t^6.623 + t^6.627 + 2*t^6.63 + 2*t^6.633 + t^6.681 + 2*t^6.684 + 3*t^6.687 + t^6.732 + 4*t^6.738 + 2*t^6.741 + 2*t^6.789 + t^6.792 + 2*t^6.796 + 2*t^6.84 + 3*t^6.846 + 2*t^6.897 + 2*t^6.948 + t^7.26 + t^7.31 + t^7.314 + t^7.361 + 3*t^7.368 + 3*t^7.419 + 3*t^7.422 + 2*t^7.47 + t^7.473 + 6*t^7.476 + 3*t^7.527 + 4*t^7.53 + 2*t^7.578 + 3*t^7.581 + 2*t^7.585 + 2*t^7.632 + 2*t^7.635 + 2*t^7.639 + t^7.686 + 2*t^7.69 + 2*t^7.74 + t^8.049 + t^8.052 + t^8.099 + t^8.103 - 2*t^8.157 + t^8.16 - 3*t^8.208 - t^8.259 - 2*t^8.265 + 2*t^8.268 - 4*t^8.316 + 3*t^8.319 - t^8.367 + 2*t^8.37 + 2*t^8.373 + t^8.424 + 2*t^8.428 + t^8.479 + t^8.482 + t^8.533 + t^8.627 + t^8.678 + t^8.682 + t^8.729 + t^8.732 + 2*t^8.736 + t^8.78 + t^8.783 + 2*t^8.787 + 2*t^8.79 + t^8.831 + t^8.834 + 2*t^8.838 + 3*t^8.841 + 4*t^8.844 + t^8.888 + t^8.892 + 3*t^8.895 + 3*t^8.898 + t^8.939 + t^8.943 - t^8.946 + 3*t^8.949 + 4*t^8.952 + t^8.997 - t^4.473/y - t^6.63/y - t^6.681/y - t^6.684/y + t^7.365/y + t^7.368/y + t^7.419/y + t^7.422/y + (2*t^7.473)/y + t^7.476/y + t^7.524/y + t^7.527/y + t^7.581/y + t^8.103/y + t^8.154/y + (2*t^8.157)/y + t^8.208/y + (3*t^8.211)/y + (3*t^8.262)/y + (4*t^8.265)/y + (3*t^8.316)/y + (2*t^8.319)/y + t^8.37/y + t^8.373/y + t^8.424/y - t^8.787/y - t^8.838/y - t^8.841/y - t^8.888/y - t^8.892/y + (2*t^8.946)/y + t^8.949/y - t^4.473*y - t^6.63*y - t^6.681*y - t^6.684*y + t^7.365*y + t^7.368*y + t^7.419*y + t^7.422*y + 2*t^7.473*y + t^7.476*y + t^7.524*y + t^7.527*y + t^7.581*y + t^8.103*y + t^8.154*y + 2*t^8.157*y + t^8.208*y + 3*t^8.211*y + 3*t^8.262*y + 4*t^8.265*y + 3*t^8.316*y + 2*t^8.319*y + t^8.37*y + t^8.373*y + t^8.424*y - t^8.787*y - t^8.838*y - t^8.841*y - t^8.888*y - t^8.892*y + 2*t^8.946*y + t^8.949*y | g1*g2^9*t^2.157 + (g2*t^2.208)/g1 + g1*g2^5*t^2.211 + g1*g2*t^2.265 + t^2.316/(g1*g2^7) + g2^4*t^2.946 + t^3. + t^3.054/g2^4 + t^3.108/g2^8 + g1*g2^3*t^3.738 + g1^2*g2^18*t^4.314 + g2^10*t^4.365 + g1^2*g2^14*t^4.368 + (g2^2*t^4.415)/g1^2 + g2^6*t^4.419 + 2*g1^2*g2^10*t^4.422 + 2*g2^2*t^4.473 + g1^2*g2^6*t^4.476 + t^4.524/(g1^2*g2^6) + t^4.527/g2^2 + 2*g1^2*g2^2*t^4.53 + (2*t^4.581)/g2^6 + (2*t^4.632)/(g1^2*g2^14) + g1*g2^13*t^5.103 + (g2^5*t^5.154)/g1 + g1*g2^9*t^5.157 + 3*g1*g2^5*t^5.211 + (2*t^5.262)/(g1*g2^3) + 3*g1*g2*t^5.265 + (2*t^5.316)/(g1*g2^7) + (2*g1*t^5.319)/g2^3 + t^5.37/(g1*g2^11) + (g1*t^5.373)/g2^7 + t^5.424/(g1*g2^15) + g2^8*t^5.892 + g1^2*g2^12*t^5.895 + g2^4*t^5.946 - 2*t^6. + g1^2*g2^4*t^6.003 - t^6.051/(g1^2*g2^8) + (2*t^6.054)/g2^4 + t^6.108/g2^8 + t^6.162/g2^12 + t^6.217/g2^16 + g1^3*g2^27*t^6.471 + g1*g2^19*t^6.521 + g1^3*g2^23*t^6.525 + (g2^11*t^6.572)/g1 + g1*g2^15*t^6.576 + 2*g1^3*g2^19*t^6.579 + (g2^3*t^6.623)/g1^3 + (g2^7*t^6.627)/g1 + 2*g1*g2^11*t^6.63 + 2*g1^3*g2^15*t^6.633 + (g2^3*t^6.681)/g1 + 2*g1*g2^7*t^6.684 + 3*g1^3*g2^11*t^6.687 + t^6.732/(g1^3*g2^5) + 4*g1*g2^3*t^6.738 + 2*g1^3*g2^7*t^6.741 + (2*t^6.789)/(g1*g2^5) + (g1*t^6.792)/g2 + 2*g1^3*g2^3*t^6.796 + (2*t^6.84)/(g1^3*g2^13) + (3*g1*t^6.846)/g2^5 + (2*t^6.897)/(g1*g2^13) + (2*t^6.948)/(g1^3*g2^21) + g1^2*g2^22*t^7.26 + g2^14*t^7.31 + g1^2*g2^18*t^7.314 + (g2^6*t^7.361)/g1^2 + 3*g1^2*g2^14*t^7.368 + 3*g2^6*t^7.419 + 3*g1^2*g2^10*t^7.422 + (2*t^7.47)/(g1^2*g2^2) + g2^2*t^7.473 + 6*g1^2*g2^6*t^7.476 + (3*t^7.527)/g2^2 + 4*g1^2*g2^2*t^7.53 + (2*t^7.578)/(g1^2*g2^10) + (3*t^7.581)/g2^6 + (2*g1^2*t^7.585)/g2^2 + (2*t^7.632)/(g1^2*g2^14) + (2*t^7.635)/g2^10 + (2*g1^2*t^7.639)/g2^6 + t^7.686/(g1^2*g2^18) + (2*t^7.69)/g2^14 + (2*t^7.74)/(g1^2*g2^22) + g1*g2^17*t^8.049 + g1^3*g2^21*t^8.052 + (g2^9*t^8.099)/g1 + g1*g2^13*t^8.103 - 2*g1*g2^9*t^8.157 + g1^3*g2^13*t^8.16 - (3*g2*t^8.208)/g1 - t^8.259/(g1^3*g2^7) - 2*g1*g2*t^8.265 + 2*g1^3*g2^5*t^8.268 - (4*t^8.316)/(g1*g2^7) + (3*g1*t^8.319)/g2^3 - t^8.367/(g1^3*g2^15) + (2*t^8.37)/(g1*g2^11) + (2*g1*t^8.373)/g2^7 + t^8.424/(g1*g2^15) + (2*g1*t^8.428)/g2^11 + t^8.479/(g1*g2^19) + (g1*t^8.482)/g2^15 + t^8.533/(g1*g2^23) + g1^4*g2^36*t^8.627 + g1^2*g2^28*t^8.678 + g1^4*g2^32*t^8.682 + g2^20*t^8.729 + g1^2*g2^24*t^8.732 + 2*g1^4*g2^28*t^8.736 + (g2^12*t^8.78)/g1^2 + g2^16*t^8.783 + 2*g1^2*g2^20*t^8.787 + 2*g1^4*g2^24*t^8.79 + (g2^4*t^8.831)/g1^4 + (g2^8*t^8.834)/g1^2 + 2*g2^12*t^8.838 + 3*g1^2*g2^16*t^8.841 + 4*g1^4*g2^20*t^8.844 + (g2^4*t^8.888)/g1^2 + g2^8*t^8.892 + 3*g1^2*g2^12*t^8.895 + 3*g1^4*g2^16*t^8.898 + t^8.939/(g1^4*g2^4) + t^8.943/g1^2 - g2^4*t^8.946 + 3*g1^2*g2^8*t^8.949 + 4*g1^4*g2^12*t^8.952 + t^8.997/(g1^2*g2^4) - (g2^2*t^4.473)/y - (g1*g2^11*t^6.63)/y - (g2^3*t^6.681)/(g1*y) - (g1*g2^7*t^6.684)/y + (g2^10*t^7.365)/y + (g1^2*g2^14*t^7.368)/y + (g2^6*t^7.419)/y + (g1^2*g2^10*t^7.422)/y + (2*g2^2*t^7.473)/y + (g1^2*g2^6*t^7.476)/y + t^7.524/(g1^2*g2^6*y) + t^7.527/(g2^2*y) + t^7.581/(g2^6*y) + (g1*g2^13*t^8.103)/y + (g2^5*t^8.154)/(g1*y) + (2*g1*g2^9*t^8.157)/y + (g2*t^8.208)/(g1*y) + (3*g1*g2^5*t^8.211)/y + (3*t^8.262)/(g1*g2^3*y) + (4*g1*g2*t^8.265)/y + (3*t^8.316)/(g1*g2^7*y) + (2*g1*t^8.319)/(g2^3*y) + t^8.37/(g1*g2^11*y) + (g1*t^8.373)/(g2^7*y) + t^8.424/(g1*g2^15*y) - (g1^2*g2^20*t^8.787)/y - (g2^12*t^8.838)/y - (g1^2*g2^16*t^8.841)/y - (g2^4*t^8.888)/(g1^2*y) - (g2^8*t^8.892)/y + (2*g2^4*t^8.946)/y + (g1^2*g2^8*t^8.949)/y - g2^2*t^4.473*y - g1*g2^11*t^6.63*y - (g2^3*t^6.681*y)/g1 - g1*g2^7*t^6.684*y + g2^10*t^7.365*y + g1^2*g2^14*t^7.368*y + g2^6*t^7.419*y + g1^2*g2^10*t^7.422*y + 2*g2^2*t^7.473*y + g1^2*g2^6*t^7.476*y + (t^7.524*y)/(g1^2*g2^6) + (t^7.527*y)/g2^2 + (t^7.581*y)/g2^6 + g1*g2^13*t^8.103*y + (g2^5*t^8.154*y)/g1 + 2*g1*g2^9*t^8.157*y + (g2*t^8.208*y)/g1 + 3*g1*g2^5*t^8.211*y + (3*t^8.262*y)/(g1*g2^3) + 4*g1*g2*t^8.265*y + (3*t^8.316*y)/(g1*g2^7) + (2*g1*t^8.319*y)/g2^3 + (t^8.37*y)/(g1*g2^11) + (g1*t^8.373*y)/g2^7 + (t^8.424*y)/(g1*g2^15) - g1^2*g2^20*t^8.787*y - g2^12*t^8.838*y - g1^2*g2^16*t^8.841*y - (g2^4*t^8.888*y)/g1^2 - g2^8*t^8.892*y + 2*g2^4*t^8.946*y + g1^2*g2^8*t^8.949*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 |
---|---|---|---|---|---|---|---|---|
46859 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6504 | 0.8579 | 0.7582 | [M:[0.6808, 0.6965, 1.0, 0.7299, 1.0491, 0.9019], q:[0.7623, 0.5569], qb:[0.5412, 0.2377], phi:[0.4755]] | t^2.042 + t^2.09 + t^2.19 + t^2.337 + t^2.384 + t^2.706 + t^2.853 + t^3. + t^3.147 + t^3.763 + t^4.085 + t^4.132 + t^4.179 + t^4.232 + t^4.279 + 2*t^4.379 + 2*t^4.426 + t^4.474 + t^4.526 + t^4.574 + 2*t^4.674 + 2*t^4.721 + t^4.748 + 2*t^4.768 + t^4.795 + 2*t^4.895 + t^4.942 + 2*t^5.042 + t^5.09 + 3*t^5.19 + 2*t^5.237 + 2*t^5.337 + t^5.384 + t^5.411 + t^5.484 + t^5.531 + t^5.558 + 2*t^5.706 + t^5.806 + 2*t^5.853 - 2*t^6. - t^4.426/y - t^4.426*y | detail | |
46877 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ | 0.6104 | 0.7846 | 0.778 | [X:[1.377], M:[0.6719, 0.623, 1.0, 0.7539, 1.082], q:[0.7705, 0.5576], qb:[0.6065, 0.2295], phi:[0.459]] | t^2.016 + t^2.262 + t^2.361 + t^2.508 + t^2.754 + t^3. + t^3.246 + t^3.492 + t^3.885 + t^4.032 + t^4.131 + t^4.278 + t^4.377 + 2*t^4.524 + t^4.623 + 2*t^4.722 + 2*t^4.77 + t^4.869 + 3*t^5.016 + t^5.115 + 3*t^5.262 + t^5.361 + 4*t^5.508 + t^5.607 + 2*t^5.754 + t^5.901 - t^6. - t^4.377/y - t^4.377*y | detail | |
47087 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6123 | 0.7902 | 0.7749 | [X:[1.384], M:[0.616, 0.6908, 1.0, 0.6933, 1.0773], q:[0.7693, 0.6147], qb:[0.5399, 0.2307], phi:[0.4613]] | t^2.072 + t^2.08 + t^2.312 + t^2.536 + t^2.768 + t^3. + t^3.232 + t^3.464 + t^3.696 + t^4.145 + 2*t^4.152 + t^4.16 + t^4.384 + t^4.392 + t^4.608 + t^4.616 + 2*t^4.623 + t^4.84 + 2*t^4.848 + 2*t^5.072 + 2*t^5.08 + 2*t^5.304 + 2*t^5.312 + 3*t^5.536 + 2*t^5.544 + 2*t^5.768 + t^5.776 - t^6. - t^4.384/y - t^4.384*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 |
---|---|---|---|---|---|---|---|---|---|
46157 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6466 | 0.8508 | 0.76 | [M:[0.6983, 0.7146, 1.0, 0.7331], q:[0.7587, 0.543], qb:[0.5267, 0.2413], phi:[0.4826]] | t^2.095 + t^2.144 + t^2.199 + t^2.304 + t^2.353 + 2*t^2.896 + t^3. + t^3.209 + t^3.752 + t^4.19 + t^4.239 + t^4.288 + t^4.294 + t^4.343 + 2*t^4.399 + 2*t^4.448 + t^4.497 + t^4.503 + t^4.552 + 2*t^4.608 + 2*t^4.657 + 2*t^4.706 + 2*t^4.991 + 2*t^5.039 + 2*t^5.095 + 3*t^5.199 + 2*t^5.248 + 2*t^5.304 + 2*t^5.353 + t^5.408 + t^5.513 + t^5.562 + 3*t^5.791 + t^5.847 + 2*t^5.896 - 3*t^6. - t^4.448/y - t^4.448*y | detail |