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 |
|---|---|---|---|---|---|---|---|---|---|
| 4608 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.7067 | 0.8803 | 0.8028 | [M:[1.076, 0.772, 0.9301, 0.9179, 1.0821, 0.766, 1.0699, 0.9179], q:[0.538, 0.386], qb:[0.5319, 0.6961], phi:[0.462]] | [M:[[-2], [6], [15], [-11], [11], [-7], [-15], [-11]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -2 | t^2.298 + t^2.316 + 2*t^2.754 + t^2.772 + t^3.21 + t^3.228 + t^3.702 + t^4.14 + t^4.158 + t^4.577 + 2*t^4.596 + 2*t^4.614 + 2*t^4.632 + 2*t^5.052 + 3*t^5.07 + 2*t^5.088 + 3*t^5.508 + 3*t^5.526 + t^5.544 + 2*t^5.963 + 2*t^5.982 - 2*t^6. + t^6.419 + t^6.438 + 2*t^6.456 + t^6.474 - t^6.492 + t^6.875 + 4*t^6.894 + 5*t^6.912 + 2*t^6.93 + t^6.948 + 2*t^7.331 + 5*t^7.349 + 5*t^7.368 + 3*t^7.386 + 2*t^7.404 + t^7.787 + 4*t^7.805 + 5*t^7.824 + 3*t^7.842 + t^7.86 - t^7.878 + 4*t^8.261 + 5*t^8.28 - 3*t^8.316 + 4*t^8.717 + 4*t^8.736 - 3*t^8.754 - 2*t^8.772 - t^4.386/y - t^6.684/y - t^6.702/y - t^7.14/y + t^7.614/y + t^7.632/y + (2*t^8.052)/y + (4*t^8.07)/y + (2*t^8.088)/y + (2*t^8.508)/y + (4*t^8.526)/y + t^8.544/y + (2*t^8.963)/y + (2*t^8.982)/y - t^4.386*y - t^6.684*y - t^6.702*y - t^7.14*y + t^7.614*y + t^7.632*y + 2*t^8.052*y + 4*t^8.07*y + 2*t^8.088*y + 2*t^8.508*y + 4*t^8.526*y + t^8.544*y + 2*t^8.963*y + 2*t^8.982*y | t^2.298/g1^7 + g1^6*t^2.316 + (2*t^2.754)/g1^11 + g1^2*t^2.772 + t^3.21/g1^15 + t^3.228/g1^2 + g1^7*t^3.702 + t^4.14/g1^10 + g1^3*t^4.158 + t^4.577/g1^27 + (2*t^4.596)/g1^14 + (2*t^4.614)/g1 + 2*g1^12*t^4.632 + (2*t^5.052)/g1^18 + (3*t^5.07)/g1^5 + 2*g1^8*t^5.088 + (3*t^5.508)/g1^22 + (3*t^5.526)/g1^9 + g1^4*t^5.544 + (2*t^5.963)/g1^26 + (2*t^5.982)/g1^13 - 2*t^6. + t^6.419/g1^30 + t^6.438/g1^17 + (2*t^6.456)/g1^4 + g1^9*t^6.474 - g1^22*t^6.492 + t^6.875/g1^34 + (4*t^6.894)/g1^21 + (5*t^6.912)/g1^8 + 2*g1^5*t^6.93 + g1^18*t^6.948 + (2*t^7.331)/g1^38 + (5*t^7.349)/g1^25 + (5*t^7.368)/g1^12 + 3*g1*t^7.386 + 2*g1^14*t^7.404 + t^7.787/g1^42 + (4*t^7.805)/g1^29 + (5*t^7.824)/g1^16 + (3*t^7.842)/g1^3 + g1^10*t^7.86 - g1^23*t^7.878 + (4*t^8.261)/g1^33 + (5*t^8.28)/g1^20 - 3*g1^6*t^8.316 + (4*t^8.717)/g1^37 + (4*t^8.736)/g1^24 - (3*t^8.754)/g1^11 - 2*g1^2*t^8.772 - (g1*t^4.386)/y - t^6.684/(g1^6*y) - (g1^7*t^6.702)/y - t^7.14/(g1^10*y) + t^7.614/(g1*y) + (g1^12*t^7.632)/y + (2*t^8.052)/(g1^18*y) + (4*t^8.07)/(g1^5*y) + (2*g1^8*t^8.088)/y + (2*t^8.508)/(g1^22*y) + (4*t^8.526)/(g1^9*y) + (g1^4*t^8.544)/y + (2*t^8.963)/(g1^26*y) + (2*t^8.982)/(g1^13*y) - g1*t^4.386*y - (t^6.684*y)/g1^6 - g1^7*t^6.702*y - (t^7.14*y)/g1^10 + (t^7.614*y)/g1 + g1^12*t^7.632*y + (2*t^8.052*y)/g1^18 + (4*t^8.07*y)/g1^5 + 2*g1^8*t^8.088*y + (2*t^8.508*y)/g1^22 + (4*t^8.526*y)/g1^9 + g1^4*t^8.544*y + (2*t^8.963*y)/g1^26 + (2*t^8.982*y)/g1^13 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6146 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{9}$ | 0.7137 | 0.8917 | 0.8004 | [M:[1.0768, 0.7697, 0.9241, 0.9223, 1.0777, 0.7687, 1.0759, 0.9223, 0.9232], q:[0.5384, 0.3848], qb:[0.5375, 0.6929], phi:[0.4616]] | t^2.306 + t^2.309 + 2*t^2.767 + 2*t^2.77 + t^3.228 + t^3.694 + t^4.152 + t^4.154 + t^4.61 + 2*t^4.612 + 2*t^4.615 + 2*t^4.618 + 2*t^5.073 + 4*t^5.076 + 3*t^5.079 + 3*t^5.534 + 4*t^5.537 + 2*t^5.539 + 2*t^5.995 + t^5.997 - 3*t^6. - t^4.385/y - t^4.385*y | detail | |
| 6145 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6997 | 0.8691 | 0.8051 | [M:[1.0752, 0.7744, 0.936, 0.9136, 1.0864, 0.7632, 1.064, 0.9136, 1.0752], q:[0.5376, 0.3872], qb:[0.5264, 0.6992], phi:[0.4624]] | t^2.29 + t^2.323 + 2*t^2.741 + t^3.192 + 2*t^3.226 + t^3.71 + t^4.128 + t^4.162 + t^4.545 + 2*t^4.579 + 2*t^4.613 + 2*t^4.646 + 2*t^5.03 + 2*t^5.064 + t^5.098 + 3*t^5.481 + 2*t^5.515 + t^5.549 + 2*t^5.933 + 3*t^5.966 - 3*t^6. - t^4.387/y - t^4.387*y | detail | |
| 6147 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.7251 | 0.9146 | 0.7929 | [M:[1.0746, 0.7763, 0.9407, 0.9102, 1.0898, 0.761, 1.0593, 0.9102, 0.761], q:[0.5373, 0.3881], qb:[0.522, 0.7017], phi:[0.4627]] | 2*t^2.283 + t^2.329 + 2*t^2.73 + t^2.776 + t^3.178 + t^3.224 + t^4.119 + t^4.164 + t^4.52 + 4*t^4.566 + 3*t^4.612 + 2*t^4.658 + 4*t^5.013 + 4*t^5.059 + 2*t^5.105 + 4*t^5.461 + 4*t^5.507 + t^5.553 + 2*t^5.908 + 2*t^5.954 - 3*t^6. - t^4.388/y - t^4.388*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2552 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.7003 | 0.8676 | 0.8071 | [M:[1.0806, 0.7583, 0.8957, 0.9432, 1.0568, 0.782, 1.1043], q:[0.5403, 0.3791], qb:[0.564, 0.6777], phi:[0.4597]] | t^2.275 + t^2.346 + t^2.758 + t^2.83 + t^3.17 + t^3.242 + t^3.313 + t^3.654 + t^4.137 + t^4.209 + 2*t^4.55 + 2*t^4.621 + 2*t^4.692 + t^4.763 + 2*t^5.033 + 2*t^5.104 + t^5.176 + t^5.445 + 2*t^5.517 + 2*t^5.588 + t^5.659 + t^5.929 - t^6. - t^4.379/y - t^4.379*y | detail |