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 |
|---|---|---|---|---|---|---|---|---|---|
| 2841 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6571 | 0.8263 | 0.7953 | [M:[0.7201, 0.8089, 0.6757, 0.8533, 1.1467], q:[0.8754, 0.4044], qb:[0.4488, 0.7423], phi:[0.3822]] | [M:[[18], [-2], [28], [-12], [12]], q:[[-17], [-1]], qb:[[-11], [13]], phi:[[4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 1 | t^2.027 + t^2.16 + t^2.293 + t^2.427 + t^2.56 + t^3.44 + t^3.573 + t^3.707 + t^3.84 + t^4.054 + t^4.188 + 2*t^4.321 + 2*t^4.454 + 3*t^4.587 + 2*t^4.72 + 3*t^4.853 + t^4.986 + t^5.12 + t^5.467 + 2*t^5.601 + 2*t^5.734 + 2*t^5.867 + t^6. + t^6.082 + t^6.133 + t^6.215 + t^6.266 + 2*t^6.348 + t^6.399 + 3*t^6.481 + 4*t^6.614 + 4*t^6.747 + 6*t^6.88 + 4*t^7.014 + 4*t^7.147 + 2*t^7.28 + t^7.413 + t^7.495 + 2*t^7.628 + t^7.679 + 3*t^7.761 + 3*t^7.894 + 2*t^8.027 + t^8.109 + t^8.16 + t^8.242 + t^8.293 + 2*t^8.375 - t^8.427 + 3*t^8.508 - t^8.56 + 5*t^8.641 + 5*t^8.775 + 8*t^8.908 + t^8.959 - t^4.147/y - t^6.174/y - t^6.307/y - t^6.44/y - t^6.573/y + t^7.188/y + t^7.321/y + (2*t^7.454)/y + (2*t^7.587)/y + (3*t^7.72)/y + (2*t^7.853)/y + (2*t^7.986)/y + t^8.12/y - t^8.201/y - t^8.334/y - t^8.467/y + t^8.734/y + (3*t^8.867)/y - t^4.147*y - t^6.174*y - t^6.307*y - t^6.44*y - t^6.573*y + t^7.188*y + t^7.321*y + 2*t^7.454*y + 2*t^7.587*y + 3*t^7.72*y + 2*t^7.853*y + 2*t^7.986*y + t^8.12*y - t^8.201*y - t^8.334*y - t^8.467*y + t^8.734*y + 3*t^8.867*y | g1^28*t^2.027 + g1^18*t^2.16 + g1^8*t^2.293 + t^2.427/g1^2 + t^2.56/g1^12 + g1^12*t^3.44 + g1^2*t^3.573 + t^3.707/g1^8 + t^3.84/g1^18 + g1^56*t^4.054 + g1^46*t^4.188 + 2*g1^36*t^4.321 + 2*g1^26*t^4.454 + 3*g1^16*t^4.587 + 2*g1^6*t^4.72 + (3*t^4.853)/g1^4 + t^4.986/g1^14 + t^5.12/g1^24 + g1^40*t^5.467 + 2*g1^30*t^5.601 + 2*g1^20*t^5.734 + 2*g1^10*t^5.867 + t^6. + g1^84*t^6.082 + t^6.133/g1^10 + g1^74*t^6.215 + t^6.266/g1^20 + 2*g1^64*t^6.348 + t^6.399/g1^30 + 3*g1^54*t^6.481 + 4*g1^44*t^6.614 + 4*g1^34*t^6.747 + 6*g1^24*t^6.88 + 4*g1^14*t^7.014 + 4*g1^4*t^7.147 + (2*t^7.28)/g1^6 + t^7.413/g1^16 + g1^68*t^7.495 + 2*g1^58*t^7.628 + t^7.679/g1^36 + 3*g1^48*t^7.761 + 3*g1^38*t^7.894 + 2*g1^28*t^8.027 + g1^112*t^8.109 + g1^18*t^8.16 + g1^102*t^8.242 + g1^8*t^8.293 + 2*g1^92*t^8.375 - t^8.427/g1^2 + 3*g1^82*t^8.508 - t^8.56/g1^12 + 5*g1^72*t^8.641 + 5*g1^62*t^8.775 + 8*g1^52*t^8.908 + t^8.959/g1^42 - (g1^4*t^4.147)/y - (g1^32*t^6.174)/y - (g1^22*t^6.307)/y - (g1^12*t^6.44)/y - (g1^2*t^6.573)/y + (g1^46*t^7.188)/y + (g1^36*t^7.321)/y + (2*g1^26*t^7.454)/y + (2*g1^16*t^7.587)/y + (3*g1^6*t^7.72)/y + (2*t^7.853)/(g1^4*y) + (2*t^7.986)/(g1^14*y) + t^8.12/(g1^24*y) - (g1^60*t^8.201)/y - (g1^50*t^8.334)/y - (g1^40*t^8.467)/y + (g1^20*t^8.734)/y + (3*g1^10*t^8.867)/y - g1^4*t^4.147*y - g1^32*t^6.174*y - g1^22*t^6.307*y - g1^12*t^6.44*y - g1^2*t^6.573*y + g1^46*t^7.188*y + g1^36*t^7.321*y + 2*g1^26*t^7.454*y + 2*g1^16*t^7.587*y + 3*g1^6*t^7.72*y + (2*t^7.853*y)/g1^4 + (2*t^7.986*y)/g1^14 + (t^8.12*y)/g1^24 - g1^60*t^8.201*y - g1^50*t^8.334*y - g1^40*t^8.467*y + g1^20*t^8.734*y + 3*g1^10*t^8.867*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 |
|---|---|---|---|---|---|---|---|---|
| 3392 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ | 0.6704 | 0.8481 | 0.7904 | [M:[0.7343, 0.8073, 0.6978, 0.8438, 1.1562, 0.8438], q:[0.8621, 0.4037], qb:[0.4402, 0.7525], phi:[0.3854]] | t^2.093 + t^2.203 + t^2.312 + t^2.422 + 2*t^2.531 + t^3.578 + t^3.688 + t^3.797 + t^4.187 + t^4.296 + 2*t^4.406 + 2*t^4.515 + 4*t^4.625 + 3*t^4.734 + 4*t^4.844 + 2*t^4.953 + 3*t^5.063 + t^5.671 + t^5.781 + t^5.89 - t^4.156/y - t^4.156*y | detail | |
| 3393 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ | 0.6548 | 0.8185 | 0.8 | [X:[1.3333], M:[0.7143, 0.8095, 0.6667, 0.8571, 1.1429, 0.7619], q:[0.881, 0.4048], qb:[0.4524, 0.7381], phi:[0.381]] | t^2.143 + 2*t^2.286 + t^2.429 + t^2.571 + t^3.429 + t^3.571 + t^3.857 + t^4. + t^4.286 + 2*t^4.429 + 4*t^4.571 + 3*t^4.714 + 4*t^4.857 + t^5. + t^5.143 + t^5.571 + 2*t^5.714 + t^5.857 - t^4.143/y - t^4.143*y | detail | {a: 55/84, c: 275/336, X1: 4/3, M1: 5/7, M2: 17/21, M3: 2/3, M4: 6/7, M5: 8/7, M6: 16/21, q1: 37/42, q2: 17/42, qb1: 19/42, qb2: 31/42, phi1: 8/21} |
| 3394 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ | 0.6565 | 0.8232 | 0.7974 | [X:[1.336], M:[0.7126, 0.8097, 0.664, 0.8583, 1.1417, 0.7126], q:[0.8825, 0.4049], qb:[0.4534, 0.7369], phi:[0.3806]] | 2*t^2.138 + t^2.283 + t^2.429 + t^2.575 + t^3.425 + t^3.571 + t^3.717 + t^4.008 + 3*t^4.276 + 2*t^4.421 + 3*t^4.567 + 3*t^4.713 + 3*t^4.858 + t^5.004 + t^5.15 + 2*t^5.563 + 2*t^5.709 + 2*t^5.854 - t^4.142/y - t^4.142*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1824 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6574 | 0.8268 | 0.7952 | [M:[0.7351, 0.7916, 0.6718, 0.8549, 1.1451], q:[0.8691, 0.3958], qb:[0.4591, 0.7492], phi:[0.3817]] | t^2.015 + t^2.205 + t^2.29 + t^2.375 + t^2.565 + t^3.435 + t^3.52 + t^3.71 + t^3.9 + t^4.031 + t^4.221 + t^4.305 + t^4.39 + t^4.411 + t^4.495 + 3*t^4.58 + t^4.665 + t^4.75 + t^4.77 + 2*t^4.855 + t^4.94 + t^5.13 + t^5.451 + t^5.535 + t^5.64 + 2*t^5.725 + t^5.81 + t^5.895 + t^5.915 - t^6. - t^4.145/y - t^4.145*y | detail |