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 |
|---|---|---|---|---|---|---|---|---|---|
| 46178 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.5873 | 0.7232 | 0.8121 | [M:[1.0024, 0.9976, 0.7764, 1.0024], q:[0.5858, 0.4118], qb:[0.4165, 1.0236], phi:[0.3906]] | [M:[[1, -3], [-1, 3], [-2, 2], [1, -3]], q:[[0, -3], [-1, 6]], qb:[[1, 0], [0, 5]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -2 | t^2.329 + t^2.343 + t^2.485 + 2*t^3.007 + t^3.642 + t^3.657 + t^4.306 + t^4.32 + t^4.658 + t^4.673 + t^4.687 + t^4.814 + 2*t^4.828 + t^4.97 + t^5.336 + t^5.351 + 2*t^5.492 + t^5.972 + t^5.986 - 2*t^6. + 2*t^6.014 + t^6.127 + t^6.142 - t^6.508 - t^6.522 + t^6.635 + 2*t^6.649 + t^6.664 + t^6.791 + t^6.805 + t^6.988 + t^7.002 + t^7.016 + t^7.03 + t^7.143 + t^7.157 - t^7.186 + t^7.285 + t^7.299 + 2*t^7.313 + t^7.327 + t^7.455 + t^7.665 + t^7.694 - t^7.821 + t^7.835 + t^7.948 + t^7.963 + 2*t^7.977 + t^8.301 + t^8.315 - 2*t^8.329 - t^8.343 + t^8.456 + t^8.471 - 3*t^8.485 + t^8.499 + 2*t^8.612 + 2*t^8.626 + t^8.641 - t^8.837 - t^8.851 + t^8.964 + t^8.979 - t^8.993 - t^4.172/y - t^6.501/y - t^6.515/y + t^7.165/y - t^7.179/y + t^7.673/y + t^7.814/y + (2*t^7.828)/y + t^7.843/y + (2*t^8.336)/y + (2*t^8.351)/y + (2*t^8.492)/y - t^8.83/y - t^8.844/y - t^8.858/y + t^8.972/y + (2*t^8.986)/y - t^4.172*y - t^6.501*y - t^6.515*y + t^7.165*y - t^7.179*y + t^7.673*y + t^7.814*y + 2*t^7.828*y + t^7.843*y + 2*t^8.336*y + 2*t^8.351*y + 2*t^8.492*y - t^8.83*y - t^8.844*y - t^8.858*y + t^8.972*y + 2*t^8.986*y | (g2^2*t^2.329)/g1^2 + t^2.343/g2^4 + g2^6*t^2.485 + (2*g1*t^3.007)/g2^3 + (g2^10*t^3.642)/g1^2 + g2^4*t^3.657 + (g2^11*t^4.306)/g1 + g1*g2^5*t^4.32 + (g2^4*t^4.658)/g1^4 + t^4.673/(g1^2*g2^2) + t^4.687/g2^8 + (g2^8*t^4.814)/g1^2 + 2*g2^2*t^4.828 + g2^12*t^4.97 + t^5.336/(g1*g2) + (g1*t^5.351)/g2^7 + 2*g1*g2^3*t^5.492 + (g2^12*t^5.972)/g1^4 + (g2^6*t^5.986)/g1^2 - 2*t^6. + (2*g1^2*t^6.014)/g2^6 + (g2^16*t^6.127)/g1^2 + g2^10*t^6.142 - t^6.508/(g1*g2^3) - (g1*t^6.522)/g2^9 + (g2^13*t^6.635)/g1^3 + (2*g2^7*t^6.649)/g1 + g1*g2*t^6.664 + (g2^17*t^6.791)/g1 + g1*g2^11*t^6.805 + (g2^6*t^6.988)/g1^6 + t^7.002/g1^4 + t^7.016/(g1^2*g2^6) + t^7.03/g2^12 + (g2^10*t^7.143)/g1^4 + (g2^4*t^7.157)/g1^2 - (g1^2*t^7.186)/g2^8 + (g2^20*t^7.285)/g1^4 + (g2^14*t^7.299)/g1^2 + 2*g2^8*t^7.313 + g1^2*g2^2*t^7.327 + g2^18*t^7.455 + (g2*t^7.665)/g1^3 + (g1*t^7.694)/g2^11 - (g2^5*t^7.821)/g1 + (g1*t^7.835)/g2 + (g2^21*t^7.948)/g1^3 + (g2^15*t^7.963)/g1 + 2*g1*g2^9*t^7.977 + (g2^14*t^8.301)/g1^6 + (g2^8*t^8.315)/g1^4 - (2*g2^2*t^8.329)/g1^2 - t^8.343/g2^4 + (g2^18*t^8.456)/g1^4 + (g2^12*t^8.471)/g1^2 - 3*g2^6*t^8.485 + g1^2*t^8.499 + (2*g2^22*t^8.612)/g1^2 + 2*g2^16*t^8.626 + g1^2*g2^10*t^8.641 - t^8.837/(g1^3*g2) - t^8.851/(g1*g2^7) + (g2^15*t^8.964)/g1^5 + (g2^9*t^8.979)/g1^3 - (g2^3*t^8.993)/g1 - t^4.172/(g2^2*y) - t^6.501/(g1^2*y) - t^6.515/(g2^6*y) + (g2*t^7.165)/(g1*y) - (g1*t^7.179)/(g2^5*y) + t^7.673/(g1^2*g2^2*y) + (g2^8*t^7.814)/(g1^2*y) + (2*g2^2*t^7.828)/y + (g1^2*t^7.843)/(g2^4*y) + (2*t^8.336)/(g1*g2*y) + (2*g1*t^8.351)/(g2^7*y) + (2*g1*g2^3*t^8.492)/y - (g2^2*t^8.83)/(g1^4*y) - t^8.844/(g1^2*g2^4*y) - t^8.858/(g2^10*y) + (g2^12*t^8.972)/(g1^4*y) + (2*g2^6*t^8.986)/(g1^2*y) - (t^4.172*y)/g2^2 - (t^6.501*y)/g1^2 - (t^6.515*y)/g2^6 + (g2*t^7.165*y)/g1 - (g1*t^7.179*y)/g2^5 + (t^7.673*y)/(g1^2*g2^2) + (g2^8*t^7.814*y)/g1^2 + 2*g2^2*t^7.828*y + (g1^2*t^7.843*y)/g2^4 + (2*t^8.336*y)/(g1*g2) + (2*g1*t^8.351*y)/g2^7 + 2*g1*g2^3*t^8.492*y - (g2^2*t^8.83*y)/g1^4 - (t^8.844*y)/(g1^2*g2^4) - (t^8.858*y)/g2^10 + (g2^12*t^8.972*y)/g1^4 + (2*g2^6*t^8.986*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46611 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6052 | 0.7542 | 0.8024 | [M:[1.0006, 0.9994, 0.7674, 1.0006, 0.7686], q:[0.5765, 0.4229], qb:[0.4241, 1.0392], phi:[0.3843]] | t^2.302 + 2*t^2.306 + t^2.541 + 2*t^3.002 + t^3.69 + t^4.386 + t^4.39 + t^4.604 + 2*t^4.608 + 3*t^4.612 + t^4.843 + 3*t^4.847 + t^5.082 + t^5.304 + 3*t^5.308 + 2*t^5.543 + t^5.992 + t^5.996 - 3*t^6. - t^4.153/y - t^4.153*y | detail | |
| 46346 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4729 | 0.5526 | 0.8558 | [X:[1.4498], M:[0.8995, 1.1005, 0.7512, 0.8995], q:[0.4127, 0.6878], qb:[0.4869, 1.3122], phi:[0.2751]] | t^2.254 + 2*t^2.699 + t^3.524 + t^4.349 + t^4.507 + 2*t^4.952 + 3*t^5.397 - 2*t^6. - t^3.825/y - t^3.825*y | detail | |
| 46446 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.5425 | 0.6456 | 0.8403 | [X:[1.3333], M:[0.983, 1.017, 0.7006, 0.983], q:[0.5, 0.517], qb:[0.483, 1.1667], phi:[0.3333]] | t^2.102 + 2*t^2.949 + t^3. + 2*t^4. + t^4.102 + t^4.204 + t^5. + 2*t^5.051 + t^5.102 + 2*t^5.898 + t^5.949 - 2*t^6. - t^4./y - t^4.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46007 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5883 | 0.7268 | 0.8095 | [M:[1.0196, 0.9804, 0.7451], q:[0.5882, 0.3922], qb:[0.4314, 1.0196], phi:[0.3922]] | t^2.235 + t^2.353 + t^2.471 + t^2.941 + t^3.059 + t^3.529 + t^3.647 + t^4.235 + t^4.353 + t^4.471 + t^4.588 + 2*t^4.706 + 2*t^4.824 + t^4.941 + t^5.176 + t^5.294 + t^5.412 + t^5.529 + t^5.765 + 2*t^5.882 - t^4.176/y - t^4.176*y | detail | {a: 8161/13872, c: 5041/6936, M1: 52/51, M2: 50/51, M3: 38/51, q1: 10/17, q2: 20/51, qb1: 22/51, qb2: 52/51, phi1: 20/51} |