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 |
|---|---|---|---|---|---|---|---|---|---|
| 2962 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6751 | 0.8503 | 0.7939 | [M:[0.8345, 1.0552, 1.1655, 0.7242, 1.0552, 0.7242], q:[0.4017, 0.7638], qb:[0.4329, 0.512], phi:[0.4724]] | [M:[[-12], [4], [12], [-20], [4], [-20]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | 2*t^2.173 + t^2.504 + t^2.741 + 2*t^3.165 + t^3.496 + t^3.59 + t^3.921 + t^4.015 + t^4.158 + t^4.252 + 3*t^4.345 + t^4.489 + 2*t^4.676 + 2*t^4.914 + t^5.007 + t^5.245 + 4*t^5.338 + t^5.482 + 3*t^5.669 + t^5.763 + t^5.906 - 2*t^6. + 2*t^6.094 + 2*t^6.187 + 3*t^6.331 + 2*t^6.425 + 5*t^6.518 + 4*t^6.662 + 2*t^6.755 + 3*t^6.849 + t^6.899 + 3*t^7.086 + 3*t^7.18 + t^7.23 + t^7.417 + 7*t^7.511 + t^7.605 + 2*t^7.655 + 5*t^7.842 + 2*t^7.935 + t^7.985 + t^8.029 + t^8.079 - 3*t^8.173 + t^8.223 + 3*t^8.266 + 3*t^8.36 + 3*t^8.504 + 3*t^8.597 + 2*t^8.647 + 7*t^8.691 - 2*t^8.741 + 5*t^8.835 + 3*t^8.928 + t^8.978 - t^4.417/y - (2*t^6.59)/y + t^7.252/y + t^7.345/y - t^7.583/y + (2*t^7.676)/y + (2*t^7.914)/y + (3*t^8.245)/y + (4*t^8.338)/y + (4*t^8.669)/y - t^8.763/y + (2*t^8.906)/y - t^4.417*y - 2*t^6.59*y + t^7.252*y + t^7.345*y - t^7.583*y + 2*t^7.676*y + 2*t^7.914*y + 3*t^8.245*y + 4*t^8.338*y + 4*t^8.669*y - t^8.763*y + 2*t^8.906*y | (2*t^2.173)/g1^20 + t^2.504/g1^12 + g1^30*t^2.741 + 2*g1^4*t^3.165 + g1^12*t^3.496 + t^3.59/g1^22 + t^3.921/g1^14 + t^4.015/g1^48 + g1^28*t^4.158 + t^4.252/g1^6 + (3*t^4.345)/g1^40 + g1^36*t^4.489 + (2*t^4.676)/g1^32 + 2*g1^10*t^4.914 + t^5.007/g1^24 + g1^18*t^5.245 + (4*t^5.338)/g1^16 + g1^60*t^5.482 + (3*t^5.669)/g1^8 + t^5.763/g1^42 + g1^34*t^5.906 - 2*t^6. + (2*t^6.094)/g1^34 + (2*t^6.187)/g1^68 + 3*g1^8*t^6.331 + (2*t^6.425)/g1^26 + (5*t^6.518)/g1^60 + 4*g1^16*t^6.662 + (2*t^6.755)/g1^18 + (3*t^6.849)/g1^52 + g1^58*t^6.899 + (3*t^7.086)/g1^10 + (3*t^7.18)/g1^44 + g1^66*t^7.23 + t^7.417/g1^2 + (7*t^7.511)/g1^36 + t^7.605/g1^70 + 2*g1^40*t^7.655 + (5*t^7.842)/g1^28 + (2*t^7.935)/g1^62 + g1^48*t^7.985 + t^8.029/g1^96 + g1^14*t^8.079 - (3*t^8.173)/g1^20 + g1^90*t^8.223 + (3*t^8.266)/g1^54 + (3*t^8.36)/g1^88 + (3*t^8.504)/g1^12 + (3*t^8.597)/g1^46 + 2*g1^64*t^8.647 + (7*t^8.691)/g1^80 - 2*g1^30*t^8.741 + (5*t^8.835)/g1^4 + (3*t^8.928)/g1^38 + g1^72*t^8.978 - t^4.417/(g1^2*y) - (2*t^6.59)/(g1^22*y) + t^7.252/(g1^6*y) + t^7.345/(g1^40*y) - (g1^2*t^7.583)/y + (2*t^7.676)/(g1^32*y) + (2*g1^10*t^7.914)/y + (3*g1^18*t^8.245)/y + (4*t^8.338)/(g1^16*y) + (4*t^8.669)/(g1^8*y) - t^8.763/(g1^42*y) + (2*g1^34*t^8.906)/y - (t^4.417*y)/g1^2 - (2*t^6.59*y)/g1^22 + (t^7.252*y)/g1^6 + (t^7.345*y)/g1^40 - g1^2*t^7.583*y + (2*t^7.676*y)/g1^32 + 2*g1^10*t^7.914*y + 3*g1^18*t^8.245*y + (4*t^8.338*y)/g1^16 + (4*t^8.669*y)/g1^8 - (t^8.763*y)/g1^42 + 2*g1^34*t^8.906*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 |
|---|---|---|---|---|---|---|---|---|
| 3556 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6712 | 0.8438 | 0.7954 | [M:[0.8571, 1.0476, 1.1429, 0.7619, 1.0476, 0.7619], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | 2*t^2.286 + 2*t^2.571 + 2*t^3.143 + t^3.429 + t^3.714 + 2*t^4. + 3*t^4.286 + 3*t^4.571 + 4*t^4.857 + 3*t^5.143 + 4*t^5.429 + 4*t^5.714 - t^6. - t^4.429/y - t^4.429*y | detail | {a: 5525/8232, c: 3473/4116, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 22/21, M6: 16/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
| 3557 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6957 | 0.8901 | 0.7816 | [M:[0.8356, 1.0548, 1.1644, 0.7259, 1.0548, 0.7259, 0.6918], q:[0.4007, 0.7637], qb:[0.4348, 0.5103], phi:[0.4726]] | t^2.076 + 2*t^2.178 + t^2.507 + t^2.733 + 2*t^3.164 + t^3.493 + t^3.596 + t^4.027 + 2*t^4.151 + 3*t^4.253 + 3*t^4.356 + t^4.48 + t^4.582 + 2*t^4.685 + t^4.809 + 2*t^4.911 + t^5.013 + 3*t^5.24 + 4*t^5.342 + t^5.466 + t^5.569 + 4*t^5.671 + t^5.773 + t^5.898 - 2*t^6. - t^4.418/y - t^4.418*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1931 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6552 | 0.8131 | 0.8058 | [M:[0.838, 1.054, 1.162, 0.73, 1.054], q:[0.3985, 0.7635], qb:[0.4395, 0.5065], phi:[0.473]] | t^2.19 + t^2.514 + t^2.715 + 2*t^3.162 + t^3.486 + t^3.609 + t^3.81 + t^3.933 + t^4.056 + t^4.134 + t^4.257 + t^4.38 + t^4.458 + t^4.704 + t^4.905 + t^5.028 + t^5.229 + 2*t^5.352 + t^5.43 + 2*t^5.676 + t^5.877 - t^6. - t^4.419/y - t^4.419*y | detail |