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 |
|---|---|---|---|---|---|---|---|---|---|
| 4392 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.5847 | 0.7392 | 0.791 | [M:[0.6781, 1.1494, 1.023, 0.7242, 0.977, 1.2758, 1.023, 0.8045], q:[0.9368, 0.3851], qb:[0.3391, 0.6379], phi:[0.4253]] | [M:[[22], [-4], [-14], [-6], [14], [6], [-14], [32]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{4}M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.034 + t^2.172 + t^2.414 + 2*t^3.069 + t^3.31 + 2*t^3.448 + t^3.828 + t^4.069 + t^4.207 + t^4.345 + t^4.448 + t^4.586 + t^4.724 + t^4.827 + 2*t^5.103 + 2*t^5.242 + t^5.345 + 4*t^5.483 + t^5.621 + t^5.724 + 2*t^5.862 - 2*t^6. + t^6.103 + 2*t^6.138 + 2*t^6.241 + t^6.379 + t^6.482 + 3*t^6.517 + 2*t^6.62 + 2*t^6.758 + t^6.861 + 2*t^6.897 + t^7. - t^7.035 + 3*t^7.138 + t^7.241 + t^7.276 + t^7.379 + 4*t^7.517 + 2*t^7.655 + t^7.758 + t^7.793 + 4*t^7.896 - 2*t^8.034 + 2*t^8.137 + 3*t^8.275 + t^8.311 - t^8.414 + t^8.517 + 4*t^8.552 + 3*t^8.655 + 2*t^8.793 + t^8.896 + 2*t^8.931 - t^4.276/y - t^6.31/y - t^6.689/y + (2*t^7.207)/y - t^7.345/y + t^7.448/y + t^7.586/y + t^7.862/y + (2*t^8.103)/y + (3*t^8.242)/y + (5*t^8.483)/y + (2*t^8.621)/y + (3*t^8.862)/y - t^4.276*y - t^6.31*y - t^6.689*y + 2*t^7.207*y - t^7.345*y + t^7.448*y + t^7.586*y + t^7.862*y + 2*t^8.103*y + 3*t^8.242*y + 5*t^8.483*y + 2*t^8.621*y + 3*t^8.862*y | g1^22*t^2.034 + t^2.172/g1^6 + g1^32*t^2.414 + (2*t^3.069)/g1^14 + g1^24*t^3.31 + (2*t^3.448)/g1^4 + g1^6*t^3.828 + g1^44*t^4.069 + g1^16*t^4.207 + t^4.345/g1^12 + g1^54*t^4.448 + g1^26*t^4.586 + t^4.724/g1^2 + g1^64*t^4.827 + 2*g1^8*t^5.103 + (2*t^5.242)/g1^20 + g1^46*t^5.345 + 4*g1^18*t^5.483 + t^5.621/g1^10 + g1^56*t^5.724 + 2*g1^28*t^5.862 - 2*t^6. + g1^66*t^6.103 + (2*t^6.138)/g1^28 + 2*g1^38*t^6.241 + g1^10*t^6.379 + g1^76*t^6.482 + (3*t^6.517)/g1^18 + 2*g1^48*t^6.62 + 2*g1^20*t^6.758 + g1^86*t^6.861 + (2*t^6.897)/g1^8 + g1^58*t^7. - t^7.035/g1^36 + 3*g1^30*t^7.138 + g1^96*t^7.241 + g1^2*t^7.276 + g1^68*t^7.379 + 4*g1^40*t^7.517 + 2*g1^12*t^7.655 + g1^78*t^7.758 + t^7.793/g1^16 + 4*g1^50*t^7.896 - 2*g1^22*t^8.034 + 2*g1^88*t^8.137 + 3*g1^60*t^8.275 + t^8.311/g1^34 - g1^32*t^8.414 + g1^98*t^8.517 + 4*g1^4*t^8.552 + 3*g1^70*t^8.655 + 2*g1^42*t^8.793 + g1^108*t^8.896 + 2*g1^14*t^8.931 - (g1^2*t^4.276)/y - (g1^24*t^6.31)/y - (g1^34*t^6.689)/y + (2*g1^16*t^7.207)/y - t^7.345/(g1^12*y) + (g1^54*t^7.448)/y + (g1^26*t^7.586)/y + t^7.862/(g1^30*y) + (2*g1^8*t^8.103)/y + (3*t^8.242)/(g1^20*y) + (5*g1^18*t^8.483)/y + (2*t^8.621)/(g1^10*y) + (3*g1^28*t^8.862)/y - g1^2*t^4.276*y - g1^24*t^6.31*y - g1^34*t^6.689*y + 2*g1^16*t^7.207*y - (t^7.345*y)/g1^12 + g1^54*t^7.448*y + g1^26*t^7.586*y + (t^7.862*y)/g1^30 + 2*g1^8*t^8.103*y + (3*t^8.242*y)/g1^20 + 5*g1^18*t^8.483*y + (2*t^8.621*y)/g1^10 + 3*g1^28*t^8.862*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 |
|---|---|---|---|---|---|---|---|---|
| 5882 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{9}$ | 0.6047 | 0.7762 | 0.779 | [M:[0.6807, 1.149, 1.0214, 0.7234, 0.9786, 1.2766, 1.0214, 0.8083, 0.7234], q:[0.9362, 0.3831], qb:[0.3404, 0.6383], phi:[0.4255]] | t^2.042 + 2*t^2.17 + t^2.425 + 2*t^3.064 + t^3.319 + 2*t^3.447 + t^4.084 + 2*t^4.212 + 3*t^4.341 + t^4.467 + 2*t^4.595 + t^4.723 + t^4.85 + 2*t^5.106 + 4*t^5.234 + t^5.361 + 5*t^5.489 + 3*t^5.617 + t^5.744 + t^5.872 - 3*t^6. - t^4.277/y - t^4.277*y | detail | |
| 5881 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{8}^{2}$ | 0.5591 | 0.7036 | 0.7946 | [M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 0.9375, 1.0], q:[0.9063, 0.2813], qb:[0.4063, 0.6563], phi:[0.4375]] | t^2.063 + t^2.438 + 2*t^2.813 + t^3. + 2*t^3.375 + t^3.75 + t^3.938 + t^4.125 + t^4.5 + t^4.688 + 3*t^4.875 + t^5.063 + 2*t^5.25 + 2*t^5.438 + 2*t^5.625 + 4*t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 73281/131072, c: 92225/131072, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 15/16, M8: 1, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2380 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5702 | 0.713 | 0.7996 | [M:[0.7158, 1.1426, 0.999, 0.7139, 1.001, 1.2861, 0.999], q:[0.9282, 0.356], qb:[0.3579, 0.6431], phi:[0.4287]] | t^2.142 + t^2.147 + 2*t^2.997 + t^3.422 + 2*t^3.428 + t^3.434 + t^3.858 + t^4.283 + t^4.289 + t^4.295 + t^4.714 + 2*t^5.139 + 2*t^5.145 + t^5.563 + 2*t^5.569 + 2*t^5.575 + t^5.581 + 2*t^5.994 - 2*t^6. - t^4.286/y - t^4.286*y | detail |