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 |
|---|---|---|---|---|---|---|---|---|---|
| 1915 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6329 | 0.7805 | 0.8109 | [X:[1.5742], M:[0.4258, 1.1914, 0.7871, 0.8516, 0.8301], q:[0.7978, 0.7763], qb:[0.4366, 0.372], phi:[0.4043]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.361 + t^2.426 + t^2.49 + t^2.555 + t^3.445 + t^3.574 + t^3.639 + t^3.703 + t^3.832 + t^4.658 + 2*t^4.723 + 3*t^4.852 + 2*t^4.916 + t^4.981 + t^5.045 + t^5.11 + 2*t^5.871 + t^5.935 - t^6. + 2*t^6.065 + 2*t^6.129 + t^6.194 + 2*t^6.258 + t^6.323 + t^6.387 + t^6.89 - t^7.019 + 2*t^7.084 + t^7.148 + t^7.213 + 4*t^7.277 + 3*t^7.342 + 3*t^7.407 + 3*t^7.471 + 2*t^7.536 + t^7.6 + 2*t^7.665 + t^8.103 - t^8.232 + 2*t^8.297 - t^8.361 + t^8.555 + t^8.62 + 3*t^8.684 + 2*t^8.749 + 2*t^8.813 + t^8.878 + t^8.942 - t^4.213/y - t^6.574/y - t^6.703/y - t^6.768/y + t^7.658/y + t^7.723/y + t^7.787/y + (2*t^7.852)/y + (2*t^7.916)/y + t^7.981/y + t^8.045/y + t^8.806/y + t^8.871/y + t^8.935/y - t^4.213*y - t^6.574*y - t^6.703*y - t^6.768*y + t^7.658*y + t^7.723*y + t^7.787*y + 2*t^7.852*y + 2*t^7.916*y + t^7.981*y + t^8.045*y + t^8.806*y + t^8.871*y + t^8.935*y | g1^6*t^2.361 + t^2.426/g1^4 + t^2.49/g1^14 + t^2.555/g1^24 + g1^24*t^3.445 + g1^4*t^3.574 + t^3.639/g1^6 + t^3.703/g1^16 + t^3.832/g1^36 + g1^22*t^4.658 + 2*g1^12*t^4.723 + (3*t^4.852)/g1^8 + (2*t^4.916)/g1^18 + t^4.981/g1^28 + t^5.045/g1^38 + t^5.11/g1^48 + 2*g1^20*t^5.871 + g1^10*t^5.935 - t^6. + (2*t^6.065)/g1^10 + (2*t^6.129)/g1^20 + t^6.194/g1^30 + (2*t^6.258)/g1^40 + t^6.323/g1^50 + t^6.387/g1^60 + g1^48*t^6.89 - g1^28*t^7.019 + 2*g1^18*t^7.084 + g1^8*t^7.148 + t^7.213/g1^2 + (4*t^7.277)/g1^12 + (3*t^7.342)/g1^22 + (3*t^7.407)/g1^32 + (3*t^7.471)/g1^42 + (2*t^7.536)/g1^52 + t^7.6/g1^62 + (2*t^7.665)/g1^72 + g1^46*t^8.103 - g1^26*t^8.232 + 2*g1^16*t^8.297 - g1^6*t^8.361 + t^8.555/g1^24 + t^8.62/g1^34 + (3*t^8.684)/g1^44 + (2*t^8.749)/g1^54 + (2*t^8.813)/g1^64 + t^8.878/g1^74 + t^8.942/g1^84 - t^4.213/(g1^2*y) - (g1^4*t^6.574)/y - t^6.703/(g1^16*y) - t^6.768/(g1^26*y) + (g1^22*t^7.658)/y + (g1^12*t^7.723)/y + (g1^2*t^7.787)/y + (2*t^7.852)/(g1^8*y) + (2*t^7.916)/(g1^18*y) + t^7.981/(g1^28*y) + t^8.045/(g1^38*y) + (g1^30*t^8.806)/y + (g1^20*t^8.871)/y + (g1^10*t^8.935)/y - (t^4.213*y)/g1^2 - g1^4*t^6.574*y - (t^6.703*y)/g1^16 - (t^6.768*y)/g1^26 + g1^22*t^7.658*y + g1^12*t^7.723*y + g1^2*t^7.787*y + (2*t^7.852*y)/g1^8 + (2*t^7.916*y)/g1^18 + (t^7.981*y)/g1^28 + (t^8.045*y)/g1^38 + g1^30*t^8.806*y + g1^20*t^8.871*y + g1^10*t^8.935*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 |
|---|---|---|---|---|---|---|---|---|
| 2949 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.6214 | 0.7603 | 0.8173 | [X:[1.5539], M:[0.4461, 1.1846, 0.777, 0.8922, 0.8538, 1.1078], q:[0.7962, 0.7577], qb:[0.4653, 0.3501], phi:[0.4077]] | t^2.331 + t^2.446 + t^2.561 + 2*t^3.323 + t^3.554 + t^3.669 + t^3.784 + t^4.015 + t^4.546 + 2*t^4.662 + 3*t^4.892 + t^5.007 + t^5.654 + 3*t^5.77 + 2*t^5.885 - 2*t^6. - t^4.223/y - t^4.223*y | detail | |
| 2948 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6515 | 0.8136 | 0.8007 | [X:[1.5673], M:[0.4327, 1.1891, 0.7836, 0.8655, 0.8382, 0.7563], q:[0.7973, 0.77], qb:[0.4464, 0.3645], phi:[0.4055]] | t^2.269 + t^2.351 + t^2.433 + t^2.515 + t^2.596 + t^3.404 + t^3.567 + t^3.649 + t^3.895 + t^4.538 + 2*t^4.62 + 3*t^4.702 + t^4.784 + 4*t^4.865 + 2*t^4.947 + t^5.029 + t^5.111 + t^5.193 + t^5.673 + 3*t^5.836 + 2*t^5.918 - t^6. - t^4.216/y - t^4.216*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 |
|---|---|---|---|---|---|---|---|---|---|
| 549 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6187 | 0.7555 | 0.819 | [X:[1.5641], M:[0.4359, 1.188, 0.782, 0.8719], q:[0.797, 0.7671], qb:[0.4509, 0.3611], phi:[0.406]] | t^2.346 + t^2.436 + t^2.616 + t^3.384 + t^3.474 + t^3.564 + t^3.654 + t^3.744 + t^3.924 + t^4.602 + 2*t^4.692 + 2*t^4.872 + t^4.962 + t^5.231 + 3*t^5.82 + t^5.91 - t^6. - t^4.218/y - t^4.218*y | detail |