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 |
|---|---|---|---|---|---|---|---|---|---|
| 4844 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6097 | 0.7407 | 0.8231 | [X:[1.4036], M:[1.0181, 0.5964, 0.7109, 0.9036, 1.0964, 1.0, 1.2891, 0.9036], q:[0.6837, 0.2982], qb:[0.6054, 0.7982], phi:[0.4036]] | [X:[[2]], M:[[10], [-2], [6], [2], [-2], [0], [-6], [2]], q:[[-9], [-1]], qb:[[3], [-1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$ | ${}$ | -2 | t^2.422 + 2*t^2.711 + t^3. + t^3.054 + t^3.867 + t^3.922 + t^4.156 + t^4.211 + t^4.446 + t^4.844 + 2*t^5.133 + t^5.313 + 4*t^5.422 + t^5.476 + t^5.711 + t^5.765 - 2*t^6. + t^6.109 - t^6.235 + t^6.578 + 2*t^6.633 + 2*t^6.867 + 3*t^6.922 + t^7.156 - t^7.211 + 2*t^7.265 - t^7.446 - t^7.5 + 2*t^7.554 + t^7.735 + 4*t^7.844 + 2*t^7.898 + 2*t^8.024 + 5*t^8.133 + t^8.187 + 2*t^8.313 + t^8.367 - t^8.422 + t^8.476 + t^8.531 - t^8.656 - 5*t^8.711 + t^8.82 - 2*t^8.946 - t^4.211/y - t^6.633/y - t^6.922/y + t^7.156/y - t^7.265/y + t^7.5/y + t^7.789/y + (2*t^8.133)/y + (2*t^8.422)/y + t^8.476/y + (2*t^8.711)/y + (2*t^8.765)/y - t^4.211*y - t^6.633*y - t^6.922*y + t^7.156*y - t^7.265*y + t^7.5*y + t^7.789*y + 2*t^8.133*y + 2*t^8.422*y + t^8.476*y + 2*t^8.711*y + 2*t^8.765*y | g1^4*t^2.422 + 2*g1^2*t^2.711 + t^3. + g1^10*t^3.054 + t^3.867/g1^6 + g1^4*t^3.922 + t^4.156/g1^8 + g1^2*t^4.211 + t^4.446/g1^10 + g1^8*t^4.844 + 2*g1^6*t^5.133 + t^5.313/g1^16 + 4*g1^4*t^5.422 + g1^14*t^5.476 + g1^2*t^5.711 + g1^12*t^5.765 - 2*t^6. + g1^20*t^6.109 - t^6.235/g1^12 + t^6.578/g1^4 + 2*g1^6*t^6.633 + (2*t^6.867)/g1^6 + 3*g1^4*t^6.922 + t^7.156/g1^8 - g1^2*t^7.211 + 2*g1^12*t^7.265 - t^7.446/g1^10 - t^7.5 + 2*g1^10*t^7.554 + t^7.735/g1^12 + 4*g1^8*t^7.844 + 2*g1^18*t^7.898 + (2*t^8.024)/g1^14 + 5*g1^6*t^8.133 + g1^16*t^8.187 + (2*t^8.313)/g1^16 + t^8.367/g1^6 - g1^4*t^8.422 + g1^14*t^8.476 + g1^24*t^8.531 - t^8.656/g1^8 - 5*g1^2*t^8.711 + g1^22*t^8.82 - (2*t^8.946)/g1^10 - (g1^2*t^4.211)/y - (g1^6*t^6.633)/y - (g1^4*t^6.922)/y + t^7.156/(g1^8*y) - (g1^12*t^7.265)/y + t^7.5/y + t^7.789/(g1^2*y) + (2*g1^6*t^8.133)/y + (2*g1^4*t^8.422)/y + (g1^14*t^8.476)/y + (2*g1^2*t^8.711)/y + (2*g1^12*t^8.765)/y - g1^2*t^4.211*y - g1^6*t^6.633*y - g1^4*t^6.922*y + (t^7.156*y)/g1^8 - g1^12*t^7.265*y + t^7.5*y + (t^7.789*y)/g1^2 + 2*g1^6*t^8.133*y + 2*g1^4*t^8.422*y + g1^14*t^8.476*y + 2*g1^2*t^8.711*y + 2*g1^12*t^8.765*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 |
|---|---|---|---|---|---|---|---|---|
| 6458 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{4}$ | 0.6073 | 0.7375 | 0.8234 | [X:[1.4167], M:[1.0833, 0.5833, 0.75, 0.9167, 1.0833, 1.0, 1.25, 0.9167], q:[0.625, 0.2917], qb:[0.625, 0.7917], phi:[0.4167]] | t^2.5 + 2*t^2.75 + t^3. + t^3.25 + t^3.75 + 2*t^4. + 2*t^4.25 + 2*t^5. + 2*t^5.25 + 4*t^5.5 + 2*t^5.75 - 2*t^6. - t^4.25/y - t^4.25*y | detail | {a: 3731/6144, c: 4531/6144, X1: 17/12, M1: 13/12, M2: 7/12, M3: 3/4, M4: 11/12, M5: 13/12, M6: 1, M7: 5/4, M8: 11/12, q1: 5/8, q2: 7/24, qb1: 5/8, qb2: 19/24, phi1: 5/12} |
| 6459 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.5939 | 0.7132 | 0.8328 | [X:[1.4083], M:[1.0415, 0.5917, 0.7249, 0.9083, 1.0917, 1.0, 1.2751, 0.9083, 1.1834], q:[0.6626, 0.2958], qb:[0.6125, 0.7958], phi:[0.4083]] | 2*t^2.725 + t^3. + t^3.125 + t^3.55 + t^3.825 + t^3.95 + t^4.1 + t^4.225 + t^4.375 + t^5.201 + 3*t^5.45 + t^5.725 + t^5.849 - 2*t^6. - t^4.225/y - t^4.225*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2673 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{7}$ | 0.601 | 0.726 | 0.8278 | [X:[1.4067], M:[1.0336, 0.5933, 0.7202, 0.9067, 1.0933, 1.0, 1.2798], q:[0.6697, 0.2966], qb:[0.6101, 0.7966], phi:[0.4067]] | t^2.44 + t^2.72 + t^3. + t^3.101 + t^3.28 + t^3.839 + t^3.94 + t^4.119 + t^4.22 + t^4.399 + t^4.881 + t^5.161 + t^5.239 + 2*t^5.44 + t^5.541 + t^5.72 - t^6. - t^4.22/y - t^4.22*y | detail |