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 |
|---|---|---|---|---|---|---|---|---|---|
| 2194 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6987 | 0.8726 | 0.8007 | [M:[1.0431, 1.1088, 0.9671, 0.8912, 0.7392, 0.9569, 0.7392], q:[0.7772, 0.4076], qb:[0.5493, 0.4836], phi:[0.4456]] | [M:[[32], [-12], [22], [12], [-8], [-32], [-8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{7}q_{1}q_{2}$ | ${}$ | -3 | 2*t^2.218 + 2*t^2.673 + t^2.871 + t^2.901 + t^3.554 + t^3.98 + t^4.01 + t^4.207 + t^4.238 + 4*t^4.435 + t^4.633 + 4*t^4.891 + 2*t^5.088 + 2*t^5.119 + 3*t^5.347 + 2*t^5.544 + t^5.575 + t^5.741 + 2*t^5.772 - 3*t^6. + t^6.197 + 2*t^6.228 + 2*t^6.425 + 2*t^6.456 + 6*t^6.653 + t^6.684 + 3*t^6.85 + 2*t^6.881 + 2*t^6.912 + t^7.078 + 7*t^7.109 + 5*t^7.306 + t^7.337 + t^7.503 + 4*t^7.565 + 2*t^7.762 + 2*t^7.793 + 2*t^7.959 + 3*t^7.99 + 4*t^8.02 + t^8.187 - 4*t^8.218 + 2*t^8.248 + 3*t^8.415 + 2*t^8.446 + 2*t^8.612 + 3*t^8.643 - 3*t^8.673 + t^8.704 + t^8.84 + 4*t^8.871 - t^8.901 - t^4.337/y - (2*t^6.554)/y - t^7.01/y - t^7.238/y + (2*t^7.435)/y + t^7.663/y + (4*t^7.891)/y + (2*t^8.088)/y + (4*t^8.119)/y + t^8.347/y + (2*t^8.544)/y + (2*t^8.575)/y - t^4.337*y - 2*t^6.554*y - t^7.01*y - t^7.238*y + 2*t^7.435*y + t^7.663*y + 4*t^7.891*y + 2*t^8.088*y + 4*t^8.119*y + t^8.347*y + 2*t^8.544*y + 2*t^8.575*y | (2*t^2.218)/g1^8 + 2*g1^12*t^2.673 + t^2.871/g1^32 + g1^22*t^2.901 + t^3.554/g1^2 + t^3.98/g1^36 + g1^18*t^4.01 + t^4.207/g1^26 + g1^28*t^4.238 + (4*t^4.435)/g1^16 + t^4.633/g1^60 + 4*g1^4*t^4.891 + (2*t^5.088)/g1^40 + 2*g1^14*t^5.119 + 3*g1^24*t^5.347 + (2*t^5.544)/g1^20 + g1^34*t^5.575 + t^5.741/g1^64 + (2*t^5.772)/g1^10 - 3*t^6. + t^6.197/g1^44 + 2*g1^10*t^6.228 + (2*t^6.425)/g1^34 + 2*g1^20*t^6.456 + (6*t^6.653)/g1^24 + g1^30*t^6.684 + (3*t^6.85)/g1^68 + (2*t^6.881)/g1^14 + 2*g1^40*t^6.912 + t^7.078/g1^58 + (7*t^7.109)/g1^4 + (5*t^7.306)/g1^48 + g1^6*t^7.337 + t^7.503/g1^92 + 4*g1^16*t^7.565 + (2*t^7.762)/g1^28 + 2*g1^26*t^7.793 + (2*t^7.959)/g1^72 + (3*t^7.99)/g1^18 + 4*g1^36*t^8.02 + t^8.187/g1^62 - (4*t^8.218)/g1^8 + 2*g1^46*t^8.248 + (3*t^8.415)/g1^52 + 2*g1^2*t^8.446 + (2*t^8.612)/g1^96 + (3*t^8.643)/g1^42 - 3*g1^12*t^8.673 + g1^66*t^8.704 + t^8.84/g1^86 + (4*t^8.871)/g1^32 - g1^22*t^8.901 - (g1^6*t^4.337)/y - (2*t^6.554)/(g1^2*y) - (g1^18*t^7.01)/y - (g1^28*t^7.238)/y + (2*t^7.435)/(g1^16*y) + t^7.663/(g1^6*y) + (4*g1^4*t^7.891)/y + (2*t^8.088)/(g1^40*y) + (4*g1^14*t^8.119)/y + (g1^24*t^8.347)/y + (2*t^8.544)/(g1^20*y) + (2*g1^34*t^8.575)/y - g1^6*t^4.337*y - (2*t^6.554*y)/g1^2 - g1^18*t^7.01*y - g1^28*t^7.238*y + (2*t^7.435*y)/g1^16 + (t^7.663*y)/g1^6 + 4*g1^4*t^7.891*y + (2*t^8.088*y)/g1^40 + 4*g1^14*t^8.119*y + g1^24*t^8.347*y + (2*t^8.544*y)/g1^20 + 2*g1^34*t^8.575*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 |
|---|---|---|---|---|---|---|---|---|
| 4189 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}q_{2}$ | 0.7142 | 0.8996 | 0.794 | [M:[1.0411, 1.1096, 0.9657, 0.8904, 0.7397, 0.9589, 0.7397, 0.8151], q:[0.7774, 0.4075], qb:[0.5514, 0.4829], phi:[0.4452]] | 2*t^2.219 + t^2.445 + 2*t^2.671 + t^2.877 + t^2.897 + t^3.986 + t^4.007 + t^4.212 + t^4.233 + 4*t^4.438 + t^4.644 + 2*t^4.664 + 5*t^4.89 + 2*t^5.096 + 4*t^5.116 + t^5.322 + 4*t^5.342 + 2*t^5.548 + t^5.568 + t^5.753 - 3*t^6. - t^4.336/y - t^4.336*y | detail | |
| 4190 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.7195 | 0.9138 | 0.7873 | [M:[1.0415, 1.1094, 0.966, 0.8906, 0.7396, 0.9585, 0.7396, 0.6717], q:[0.7774, 0.4075], qb:[0.5509, 0.483], phi:[0.4453]] | t^2.015 + 2*t^2.219 + 2*t^2.672 + t^2.875 + t^2.898 + t^3.555 + t^4.008 + t^4.03 + t^4.211 + 3*t^4.234 + 4*t^4.438 + t^4.641 + 2*t^4.687 + 5*t^4.891 + t^4.913 + 2*t^5.094 + 2*t^5.117 + 3*t^5.343 + 2*t^5.547 + 2*t^5.57 + t^5.751 + 2*t^5.774 - 3*t^6. - t^4.336/y - t^4.336*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1158 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6792 | 0.8367 | 0.8118 | [M:[1.0385, 1.1106, 0.964, 0.8894, 0.7404, 0.9615], q:[0.7776, 0.4075], qb:[0.554, 0.482], phi:[0.4447]] | t^2.221 + 2*t^2.668 + t^2.884 + t^2.892 + t^3.555 + t^3.779 + t^3.995 + t^4.002 + t^4.219 + t^4.226 + 2*t^4.442 + t^4.658 + 2*t^4.889 + t^5.106 + t^5.113 + 3*t^5.337 + 2*t^5.553 + t^5.56 + t^5.769 + t^5.776 - 2*t^6. - t^4.334/y - t^4.334*y | detail |