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 |
|---|---|---|---|---|---|---|---|---|---|
| 4837 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6076 | 0.7394 | 0.8219 | [X:[1.4215], M:[1.1074, 0.5785, 0.7644, 0.9215, 1.0785, 1.0, 0.8926, 1.2356], q:[0.6034, 0.2893], qb:[0.6322, 0.7893], phi:[0.4215]] | [X:[[2]], M:[[10], [-2], [6], [2], [-2], [0], [-10], [-6]], q:[[-9], [-1]], qb:[[3], [-1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | t^2.529 + t^2.678 + t^2.764 + t^3. + t^3.236 + t^3.707 + t^3.942 + t^4.029 + t^4.178 + t^4.264 + t^4.885 + t^5.058 + t^5.207 + t^5.293 + t^5.356 + t^5.442 + 2*t^5.529 + t^5.678 + t^5.764 - t^6. - t^6.087 + t^6.236 - t^6.322 + t^6.385 + t^6.471 + t^6.62 + 2*t^6.707 + t^6.793 + t^6.856 + 2*t^6.942 + t^7.029 - t^7.264 - t^7.351 + 2*t^7.413 - t^7.5 + t^7.562 + t^7.587 + t^7.649 + t^7.736 + t^7.822 + 3*t^7.885 + t^7.971 + t^8.034 + 2*t^8.058 + 2*t^8.12 + 2*t^8.207 + 2*t^8.293 + t^8.356 + t^8.38 - t^8.529 + t^8.591 - t^8.615 - 2*t^8.678 - 2*t^8.764 + t^8.827 - 2*t^8.851 - t^4.264/y - t^6.793/y + t^7.736/y + t^8.207/y + t^8.293/y + t^8.442/y + t^8.529/y + t^8.678/y + (2*t^8.764)/y + t^8.913/y - t^4.264*y - t^6.793*y + t^7.736*y + t^8.207*y + t^8.293*y + t^8.442*y + t^8.529*y + t^8.678*y + 2*t^8.764*y + t^8.913*y | g1^4*t^2.529 + t^2.678/g1^10 + g1^2*t^2.764 + t^3. + t^3.236/g1^2 + t^3.707/g1^6 + t^3.942/g1^8 + g1^4*t^4.029 + t^4.178/g1^10 + g1^2*t^4.264 + t^4.885/g1^16 + g1^8*t^5.058 + t^5.207/g1^6 + g1^6*t^5.293 + t^5.356/g1^20 + t^5.442/g1^8 + 2*g1^4*t^5.529 + t^5.678/g1^10 + g1^2*t^5.764 - t^6. - g1^12*t^6.087 + t^6.236/g1^2 - g1^10*t^6.322 + t^6.385/g1^16 + t^6.471/g1^4 + t^6.62/g1^18 + (2*t^6.707)/g1^6 + g1^6*t^6.793 + t^6.856/g1^20 + (2*t^6.942)/g1^8 + g1^4*t^7.029 - g1^2*t^7.264 - g1^14*t^7.351 + (2*t^7.413)/g1^12 - t^7.5 + t^7.562/g1^26 + g1^12*t^7.587 + t^7.649/g1^14 + t^7.736/g1^2 + g1^10*t^7.822 + (3*t^7.885)/g1^16 + t^7.971/g1^4 + t^8.034/g1^30 + 2*g1^8*t^8.058 + (2*t^8.12)/g1^18 + (2*t^8.207)/g1^6 + 2*g1^6*t^8.293 + t^8.356/g1^20 + g1^18*t^8.38 - g1^4*t^8.529 + t^8.591/g1^22 - g1^16*t^8.615 - (2*t^8.678)/g1^10 - 2*g1^2*t^8.764 + t^8.827/g1^24 - 2*g1^14*t^8.851 - (g1^2*t^4.264)/y - (g1^6*t^6.793)/y + t^7.736/(g1^2*y) + t^8.207/(g1^6*y) + (g1^6*t^8.293)/y + t^8.442/(g1^8*y) + (g1^4*t^8.529)/y + t^8.678/(g1^10*y) + (2*g1^2*t^8.764)/y + t^8.913/(g1^12*y) - g1^2*t^4.264*y - g1^6*t^6.793*y + (t^7.736*y)/g1^2 + (t^8.207*y)/g1^6 + g1^6*t^8.293*y + (t^8.442*y)/g1^8 + g1^4*t^8.529*y + (t^8.678*y)/g1^10 + 2*g1^2*t^8.764*y + (t^8.913*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6456 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{4}M_{9}$ | 0.6005 | 0.7283 | 0.8245 | [X:[1.4241], M:[1.1204, 0.5759, 0.7723, 0.9241, 1.0759, 1.0, 0.8796, 1.2277, 1.0759], q:[0.5916, 0.288], qb:[0.6361, 0.788], phi:[0.4241]] | t^2.545 + t^2.639 + t^3. + 2*t^3.228 + t^3.683 + t^3.911 + t^4.045 + t^4.139 + t^4.272 + t^4.822 + t^5.089 + t^5.183 + t^5.277 + t^5.545 + t^5.639 + t^5.772 + t^5.866 - 2*t^6. - t^4.272/y - t^4.272*y | detail | |
| 6457 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$ | 0.6284 | 0.7797 | 0.806 | [X:[1.4205], M:[1.1024, 0.5795, 0.7614, 0.9205, 1.0795, 1.0, 0.8976, 1.2386, 0.6819], q:[0.6079, 0.2898], qb:[0.6307, 0.7898], phi:[0.4205]] | t^2.046 + t^2.523 + t^2.693 + t^2.761 + t^3. + t^3.239 + t^3.716 + t^4.023 + t^4.091 + t^4.193 + t^4.261 + t^4.569 + t^4.739 + t^4.807 + t^4.909 + 2*t^5.046 + t^5.216 + 2*t^5.284 + t^5.386 + t^5.454 + 2*t^5.523 + t^5.693 + 2*t^5.761 - t^6. - t^4.261/y - t^4.261*y | detail | |
| 6454 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.5943 | 0.7181 | 0.8276 | [X:[1.4259], M:[1.1293, 0.5741, 0.7776, 0.9259, 1.0741, 1.0, 0.8707, 1.2224, 1.1483], q:[0.5836, 0.2871], qb:[0.6388, 0.7871], phi:[0.4259]] | t^2.612 + t^2.778 + t^3. + t^3.222 + t^3.445 + t^3.667 + t^3.89 + t^4.055 + t^4.112 + t^4.278 + t^4.779 + t^5.224 + t^5.39 + t^5.555 + t^5.612 - t^6. - t^4.278/y - t^4.278*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2674 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ | 0.6263 | 0.7723 | 0.811 | [X:[1.4176], M:[1.0882, 0.5824, 0.7529, 0.9176, 1.0824, 1.0, 0.9118], q:[0.6206, 0.2912], qb:[0.6265, 0.7912], phi:[0.4176]] | t^2.259 + t^2.506 + t^2.735 + t^2.753 + t^3. + t^3.247 + t^3.988 + t^4.006 + t^4.235 + t^4.253 + t^4.518 + t^4.765 + t^4.977 + t^4.994 + 2*t^5.012 + t^5.241 + 2*t^5.259 + t^5.471 + t^5.488 + 3*t^5.506 + t^5.735 + t^5.753 - t^6. - t^4.253/y - t^4.253*y | detail |