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 |
---|---|---|---|---|---|---|---|---|---|
55475 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ | 0.7145 | 0.8801 | 0.8118 | [M:[1.0032, 0.8193, 0.9968, 1.0602, 0.8828, 0.9968, 0.9398], q:[0.5301, 0.4666], qb:[0.6506, 0.4731], phi:[0.4699]] | [M:[[1, 1], [-6, 0], [-1, -1], [2, 0], [-3, 1], [-1, -1], [-2, 0]], q:[[1, 0], [-2, -1]], qb:[[5, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$ | ${}$ | -4 | t^2.458 + t^2.648 + 2*t^2.819 + 2*t^2.99 + t^3.371 + t^4.21 + t^4.229 + t^4.248 + t^4.4 + t^4.419 + t^4.59 + t^4.761 + t^4.781 + t^4.916 + t^4.952 + t^5.106 + 2*t^5.277 + t^5.297 + t^5.313 + t^5.448 + t^5.468 + 4*t^5.639 + 3*t^5.81 + 2*t^5.981 - 4*t^6. - t^6.171 + t^6.19 - t^6.532 - t^6.552 + t^6.667 + t^6.687 + t^6.706 + t^6.742 + t^6.858 + t^6.877 + t^6.897 + 2*t^7.029 + 3*t^7.048 + 3*t^7.068 + 2*t^7.2 + 3*t^7.219 + 4*t^7.239 + t^7.374 + t^7.41 - t^7.429 + t^7.564 + 2*t^7.581 + t^7.6 + t^7.619 + 2*t^7.735 + t^7.752 + t^7.755 + t^7.771 + t^7.906 + t^7.926 - t^7.942 + t^7.945 - t^7.961 + 4*t^8.097 + t^8.116 + t^8.132 + t^8.152 + t^8.268 + 2*t^8.287 + t^8.303 + t^8.419 + t^8.438 + 2*t^8.458 - t^8.494 + t^8.497 + t^8.609 + 5*t^8.629 - 3*t^8.648 + t^8.668 + t^8.684 + 3*t^8.8 - 9*t^8.819 - t^8.839 + 3*t^8.971 - 7*t^8.99 - t^4.41/y - t^6.868/y - t^7.058/y - t^7.229/y - t^7.4/y + t^7.419/y + t^7.59/y + t^7.761/y + t^7.952/y + t^8.106/y + (2*t^8.277)/y + (2*t^8.448)/y + (2*t^8.468)/y + (3*t^8.639)/y + (4*t^8.81)/y + t^8.829/y + t^8.981/y - t^4.41*y - t^6.868*y - t^7.058*y - t^7.229*y - t^7.4*y + t^7.419*y + t^7.59*y + t^7.761*y + t^7.952*y + t^8.106*y + 2*t^8.277*y + 2*t^8.448*y + 2*t^8.468*y + 3*t^8.639*y + 4*t^8.81*y + t^8.829*y + t^8.981*y | t^2.458/g1^6 + (g2*t^2.648)/g1^3 + (2*t^2.819)/g1^2 + (2*t^2.99)/(g1*g2) + g1^5*g2*t^3.371 + t^4.21/(g1^5*g2^2) + t^4.229/g1^3 + (g2^2*t^4.248)/g1 + t^4.4/(g1^2*g2) + g2*t^4.419 + g1*t^4.59 + (g1^2*t^4.761)/g2 + g1^4*g2*t^4.781 + t^4.916/g1^12 + g1^5*t^4.952 + (g2*t^5.106)/g1^9 + (2*t^5.277)/g1^8 + (g2^2*t^5.297)/g1^6 + g1^9*t^5.313 + t^5.448/(g1^7*g2) + (g2*t^5.468)/g1^5 + (4*t^5.639)/g1^4 + (3*t^5.81)/(g1^3*g2) + (2*t^5.981)/(g1^2*g2^2) - 4*t^6. - (g1*t^6.171)/g2 + g1^3*g2*t^6.19 - (g1^5*t^6.532)/g2 - g1^7*g2*t^6.552 + t^6.667/(g1^11*g2^2) + t^6.687/g1^9 + (g2^2*t^6.706)/g1^7 + g1^10*g2^2*t^6.742 + t^6.858/(g1^8*g2) + (g2*t^6.877)/g1^6 + (g2^3*t^6.897)/g1^4 + (2*t^7.029)/(g1^7*g2^2) + (3*t^7.048)/g1^5 + (3*g2^2*t^7.068)/g1^3 + (2*t^7.2)/(g1^6*g2^3) + (3*t^7.219)/(g1^4*g2) + (4*g2*t^7.239)/g1^2 + t^7.374/g1^18 + t^7.41/g1 - g1*g2^2*t^7.429 + (g2*t^7.564)/g1^15 + (2*t^7.581)/g2 + g1^2*g2*t^7.6 + g1^4*g2^3*t^7.619 + (2*t^7.735)/g1^14 + (g1*t^7.752)/g2^2 + (g2^2*t^7.755)/g1^12 + g1^3*t^7.771 + t^7.906/(g1^13*g2) + (g2*t^7.926)/g1^11 - (g1^4*t^7.942)/g2 + (g2^3*t^7.945)/g1^9 - g1^6*g2*t^7.961 + (4*t^8.097)/g1^10 + (g2^2*t^8.116)/g1^8 + g1^7*t^8.132 + g1^9*g2^2*t^8.152 + t^8.268/(g1^9*g2) + (2*g2*t^8.287)/g1^7 + (g1^8*t^8.303)/g2 + t^8.419/(g1^10*g2^4) + t^8.438/(g1^8*g2^2) + (2*t^8.458)/g1^6 - g1^11*t^8.494 + (g2^4*t^8.497)/g1^2 + t^8.609/(g1^7*g2^3) + (5*t^8.629)/(g1^5*g2) - (3*g2*t^8.648)/g1^3 + (g2^3*t^8.668)/g1 + g1^14*g2*t^8.684 + (3*t^8.8)/(g1^4*g2^2) - (9*t^8.819)/g1^2 - g2^2*t^8.839 + (3*t^8.971)/(g1^3*g2^3) - (7*t^8.99)/(g1*g2) - t^4.41/(g1*y) - t^6.868/(g1^7*y) - (g2*t^7.058)/(g1^4*y) - t^7.229/(g1^3*y) - t^7.4/(g1^2*g2*y) + (g2*t^7.419)/y + (g1*t^7.59)/y + (g1^2*t^7.761)/(g2*y) + (g1^5*t^7.952)/y + (g2*t^8.106)/(g1^9*y) + (2*t^8.277)/(g1^8*y) + (2*t^8.448)/(g1^7*g2*y) + (2*g2*t^8.468)/(g1^5*y) + (3*t^8.639)/(g1^4*y) + (4*t^8.81)/(g1^3*g2*y) + (g2*t^8.829)/(g1*y) + t^8.981/(g1^2*g2^2*y) - (t^4.41*y)/g1 - (t^6.868*y)/g1^7 - (g2*t^7.058*y)/g1^4 - (t^7.229*y)/g1^3 - (t^7.4*y)/(g1^2*g2) + g2*t^7.419*y + g1*t^7.59*y + (g1^2*t^7.761*y)/g2 + g1^5*t^7.952*y + (g2*t^8.106*y)/g1^9 + (2*t^8.277*y)/g1^8 + (2*t^8.448*y)/(g1^7*g2) + (2*g2*t^8.468*y)/g1^5 + (3*t^8.639*y)/g1^4 + (4*t^8.81*y)/(g1^3*g2) + (g2*t^8.829*y)/g1 + (t^8.981*y)/(g1^2*g2^2) |
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
47190 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ | 0.7092 | 0.8704 | 0.8148 | [M:[1.0025, 0.8407, 0.9975, 1.0531, 0.8964, 0.9975], q:[0.5265, 0.4709], qb:[0.6327, 0.476], phi:[0.4735]] | t^2.522 + t^2.689 + t^2.841 + 2*t^2.992 + t^3.159 + t^3.326 + t^4.246 + t^4.261 + t^4.276 + t^4.413 + t^4.428 + t^4.58 + t^4.731 + t^4.747 + t^4.898 + t^5.044 + t^5.211 + t^5.217 + t^5.363 + t^5.378 + t^5.514 + 3*t^5.681 + t^5.833 + t^5.848 + 2*t^5.985 - 3*t^6. - t^4.42/y - t^4.42*y | detail |