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 |
|---|---|---|---|---|---|---|---|---|---|
| 46616 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ | 0.6206 | 0.7586 | 0.8181 | [M:[1.1494, 0.7075, 0.8506, 0.8251, 1.1749], q:[0.4125, 0.438], qb:[0.88, 0.7369], phi:[0.3831]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [6, 8]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | t^2.122 + t^2.299 + t^2.552 + t^3.448 + t^3.525 + t^3.625 + t^3.701 + t^3.778 + t^3.954 + t^4.245 + t^4.421 + t^4.598 + t^4.674 + 2*t^4.851 + t^5.103 + t^5.571 + t^5.647 + t^5.747 + t^5.824 + t^5.9 - t^6. + 2*t^6.076 + t^6.253 + t^6.329 + t^6.367 + t^6.506 + t^6.544 + t^6.72 + t^6.797 + t^6.897 + 2*t^6.973 + t^7.049 + t^7.149 + t^7.226 + t^7.249 + t^7.302 - t^7.326 + t^7.402 + t^7.479 + t^7.555 + t^7.655 + t^7.693 + t^7.731 + t^7.77 + t^7.87 + t^7.908 + t^7.946 + t^8.022 - t^8.122 + 2*t^8.199 - t^8.299 + t^8.375 + t^8.452 - t^8.475 + t^8.49 - 2*t^8.552 + 2*t^8.628 + t^8.666 - t^8.728 + t^8.804 + t^8.843 + t^8.881 + t^8.919 - t^4.149/y - t^6.272/y - t^6.448/y + t^7.421/y + t^7.674/y + (2*t^7.851)/y + t^8.027/y - t^8.394/y + t^8.647/y + t^8.747/y + (2*t^8.824)/y + t^8.9/y + t^8.924/y - t^4.149*y - t^6.272*y - t^6.448*y + t^7.421*y + t^7.674*y + 2*t^7.851*y + t^8.027*y - t^8.394*y + t^8.647*y + t^8.747*y + 2*t^8.824*y + t^8.9*y + t^8.924*y | g1^2*g2^4*t^2.122 + t^2.299/(g1^2*g2^2) + g1^3*g2^3*t^2.552 + t^3.448/(g1^3*g2^3) + g1^6*g2^8*t^3.525 + t^3.625/(g1^7*g2^9) + g1^2*g2^2*t^3.701 + g1^11*g2^13*t^3.778 + g1^7*g2^7*t^3.954 + g1^4*g2^8*t^4.245 + g2^2*t^4.421 + t^4.598/(g1^4*g2^4) + g1^5*g2^7*t^4.674 + 2*g1*g2*t^4.851 + g1^6*g2^6*t^5.103 + (g2*t^5.571)/g1 + g1^8*g2^12*t^5.647 + t^5.747/(g1^5*g2^5) + g1^4*g2^6*t^5.824 + g1^13*g2^17*t^5.9 - t^6. + 2*g1^9*g2^11*t^6.076 + g1^5*g2^5*t^6.253 + g1^14*g2^16*t^6.329 + g1^6*g2^12*t^6.367 + g1^10*g2^10*t^6.506 + g1^2*g2^6*t^6.544 + t^6.72/g1^2 + g1^7*g2^11*t^6.797 + t^6.897/(g1^6*g2^6) + 2*g1^3*g2^5*t^6.973 + g1^12*g2^16*t^7.049 + t^7.149/(g1*g2) + g1^8*g2^10*t^7.226 + t^7.249/(g1^14*g2^18) + g1^17*g2^21*t^7.302 - t^7.326/(g1^5*g2^7) + g1^4*g2^4*t^7.402 + g1^13*g2^15*t^7.479 + g1^22*g2^26*t^7.555 + g1^9*g2^9*t^7.655 + g1*g2^5*t^7.693 + g1^18*g2^20*t^7.731 + g1^10*g2^16*t^7.77 + t^7.87/(g1^3*g2) + g1^14*g2^14*t^7.908 + g1^6*g2^10*t^7.946 + g1^15*g2^21*t^8.022 - g1^2*g2^4*t^8.122 + 2*g1^11*g2^15*t^8.199 - t^8.299/(g1^2*g2^2) + g1^7*g2^9*t^8.375 + g1^16*g2^20*t^8.452 - t^8.475/(g1^6*g2^8) + g1^8*g2^16*t^8.49 - 2*g1^3*g2^3*t^8.552 + 2*g1^12*g2^14*t^8.628 + g1^4*g2^10*t^8.666 - t^8.728/(g1*g2^3) + g1^8*g2^8*t^8.804 + g2^4*t^8.843 + g1^17*g2^19*t^8.881 + g1^9*g2^15*t^8.919 - t^4.149/(g1*g2*y) - (g1*g2^3*t^6.272)/y - t^6.448/(g1^3*g2^3*y) + (g2^2*t^7.421)/y + (g1^5*g2^7*t^7.674)/y + (2*g1*g2*t^7.851)/y + t^8.027/(g1^3*g2^5*y) - (g1^3*g2^7*t^8.394)/y + (g1^8*g2^12*t^8.647)/y + t^8.747/(g1^5*g2^5*y) + (2*g1^4*g2^6*t^8.824)/y + (g1^13*g2^17*t^8.9)/y + t^8.924/(g1^9*g2^11*y) - (t^4.149*y)/(g1*g2) - g1*g2^3*t^6.272*y - (t^6.448*y)/(g1^3*g2^3) + g2^2*t^7.421*y + g1^5*g2^7*t^7.674*y + 2*g1*g2*t^7.851*y + (t^8.027*y)/(g1^3*g2^5) - g1^3*g2^7*t^8.394*y + g1^8*g2^12*t^8.647*y + (t^8.747*y)/(g1^5*g2^5) + 2*g1^4*g2^6*t^8.824*y + g1^13*g2^17*t^8.9*y + (t^8.924*y)/(g1^9*g2^11) |
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 |
|---|---|---|---|---|---|---|---|---|
| 47252 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6204 | 0.7573 | 0.8192 | [M:[1.147, 0.7205, 0.853, 0.8088, 1.1912], q:[0.4044, 0.4486], qb:[0.8751, 0.7426], phi:[0.3823]] | t^2.162 + t^2.294 + t^2.559 + t^3.441 + 2*t^3.574 + t^3.706 + t^3.838 + t^3.971 + t^4.323 + t^4.456 + t^4.588 + t^4.721 + 2*t^4.853 + t^5.118 + t^5.603 + 2*t^5.735 + t^5.868 - t^4.147/y - t^4.147*y | detail | |
| 46995 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6384 | 0.793 | 0.805 | [M:[1.1551, 0.688, 0.8449, 0.8521, 1.1479, 0.7629], q:[0.426, 0.4189], qb:[0.8859, 0.729], phi:[0.385]] | t^2.064 + t^2.289 + t^2.31 + t^2.535 + t^3.444 + t^3.465 + t^3.668 + t^3.69 + t^3.914 + t^4.128 + t^4.353 + t^4.374 + t^4.577 + 2*t^4.599 + t^4.62 + t^4.823 + 2*t^4.845 + t^5.069 + t^5.508 + t^5.529 + 2*t^5.732 + 2*t^5.754 + t^5.957 + 3*t^5.979 - t^6. - t^4.155/y - t^4.155*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46225 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6366 | 0.7855 | 0.8105 | [M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.293 + t^2.376 + t^2.56 + t^3.44 + t^3.522 + t^3.707 + t^3.892 + t^3.974 + t^4.421 + t^4.503 + 2*t^4.586 + t^4.669 + t^4.751 + t^4.771 + 2*t^4.853 + t^4.936 + t^5.121 + t^5.65 + t^5.733 + t^5.815 + t^5.898 - t^6. - t^4.147/y - t^4.147*y | detail |