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 |
|---|---|---|---|---|---|---|---|---|---|
| 4788 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{2}$ + ${ }M_{7}M_{8}$ | 0.5906 | 0.7314 | 0.8075 | [X:[1.4176, 1.6117], M:[0.9707, 0.5824, 0.3883, 1.1649, 0.8351, 0.7181, 1.0293, 0.9707], q:[0.738, 0.2912], qb:[0.8737, 0.5439], phi:[0.3883]] | [X:[[6], [4]], M:[[-10], [-6], [-4], [-12], [12], [-28], [10], [-10]], q:[[13], [-3]], qb:[[-9], [15]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | -1 | t^2.154 + t^2.33 + t^2.505 + 2*t^2.912 + t^3.495 + t^3.67 + t^4.253 + t^4.308 + t^4.428 + t^4.484 + 2*t^4.66 + 2*t^4.835 + t^5.011 + 2*t^5.066 + t^5.242 + t^5.418 + t^5.649 + 4*t^5.824 - t^6. + 2*t^6.407 + t^6.463 + t^6.582 + t^6.638 + 2*t^6.814 + t^6.934 + 3*t^6.989 + 3*t^7.165 + 2*t^7.221 + t^7.34 + t^7.396 + 2*t^7.572 + t^7.747 + t^7.803 + 4*t^7.979 - 2*t^8.505 + 2*t^8.561 + t^8.617 + 4*t^8.737 + t^8.793 + t^8.856 - 4*t^8.912 + 2*t^8.968 - t^4.165/y - t^6.319/y - t^6.495/y - t^7.077/y + t^7.253/y + t^7.484/y + t^7.66/y + (2*t^7.835)/y + t^8.011/y + (2*t^8.066)/y + (2*t^8.242)/y + (2*t^8.418)/y - t^8.473/y + (2*t^8.824)/y - t^4.165*y - t^6.319*y - t^6.495*y - t^7.077*y + t^7.253*y + t^7.484*y + t^7.66*y + 2*t^7.835*y + t^8.011*y + 2*t^8.066*y + 2*t^8.242*y + 2*t^8.418*y - t^8.473*y + 2*t^8.824*y | t^2.154/g1^28 + t^2.33/g1^8 + g1^12*t^2.505 + (2*t^2.912)/g1^10 + t^3.495/g1^12 + g1^8*t^3.67 + g1^6*t^4.253 + t^4.308/g1^56 + g1^26*t^4.428 + t^4.484/g1^36 + (2*t^4.66)/g1^16 + 2*g1^4*t^4.835 + g1^24*t^5.011 + (2*t^5.066)/g1^38 + t^5.242/g1^18 + g1^2*t^5.418 + t^5.649/g1^40 + (4*t^5.824)/g1^20 - t^6. + (2*t^6.407)/g1^22 + t^6.463/g1^84 + t^6.582/g1^2 + t^6.638/g1^64 + (2*t^6.814)/g1^44 + g1^38*t^6.934 + (3*t^6.989)/g1^24 + (3*t^7.165)/g1^4 + (2*t^7.221)/g1^66 + g1^16*t^7.34 + t^7.396/g1^46 + (2*t^7.572)/g1^26 + t^7.747/g1^6 + t^7.803/g1^68 + (4*t^7.979)/g1^48 - 2*g1^12*t^8.505 + (2*t^8.561)/g1^50 + t^8.617/g1^112 + (4*t^8.737)/g1^30 + t^8.793/g1^92 + g1^52*t^8.856 - (4*t^8.912)/g1^10 + (2*t^8.968)/g1^72 - t^4.165/(g1^4*y) - t^6.319/(g1^32*y) - t^6.495/(g1^12*y) - t^7.077/(g1^14*y) + (g1^6*t^7.253)/y + t^7.484/(g1^36*y) + t^7.66/(g1^16*y) + (2*g1^4*t^7.835)/y + (g1^24*t^8.011)/y + (2*t^8.066)/(g1^38*y) + (2*t^8.242)/(g1^18*y) + (2*g1^2*t^8.418)/y - t^8.473/(g1^60*y) + (2*t^8.824)/(g1^20*y) - (t^4.165*y)/g1^4 - (t^6.319*y)/g1^32 - (t^6.495*y)/g1^12 - (t^7.077*y)/g1^14 + g1^6*t^7.253*y + (t^7.484*y)/g1^36 + (t^7.66*y)/g1^16 + 2*g1^4*t^7.835*y + g1^24*t^8.011*y + (2*t^8.066*y)/g1^38 + (2*t^8.242*y)/g1^18 + 2*g1^2*t^8.418*y - (t^8.473*y)/g1^60 + (2*t^8.824*y)/g1^20 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6428 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{2}$ + ${ }M_{7}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6085 | 0.7639 | 0.7965 | [X:[1.42, 1.6133], M:[0.9666, 0.58, 0.3867, 1.16, 0.84, 0.7066, 1.0334, 0.9666, 0.7733], q:[0.7434, 0.29], qb:[0.87, 0.55], phi:[0.3867]] | t^2.12 + 2*t^2.32 + t^2.52 + 2*t^2.9 + t^3.48 + t^4.24 + t^4.26 + 2*t^4.44 + t^4.46 + 4*t^4.64 + 3*t^4.84 + 2*t^5.02 + t^5.04 + 3*t^5.22 + t^5.42 + t^5.6 + 4*t^5.8 - 2*t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2616 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{2}$ | 0.5883 | 0.7268 | 0.8095 | [X:[1.4118, 1.6078], M:[0.9804, 0.5882, 0.3922, 1.1765, 0.8235, 0.7451, 1.0196], q:[0.7255, 0.2941], qb:[0.8824, 0.5294], 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, X1: 24/17, X2: 82/51, M1: 50/51, M2: 10/17, M3: 20/51, M4: 20/17, M5: 14/17, M6: 38/51, M7: 52/51, q1: 37/51, q2: 5/17, qb1: 15/17, qb2: 9/17, phi1: 20/51} |