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 |
|---|---|---|---|---|---|---|---|---|---|
| 4571 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}X_{1}$ | 0.6238 | 0.7743 | 0.8057 | [X:[1.407], M:[0.8686, 0.9519, 1.0481, 0.7724, 1.2276, 0.593, 0.9519, 1.0481], q:[0.6554, 0.476], qb:[0.2965, 0.7516], phi:[0.4551]] | [X:[[14]], M:[[-34], [18], [-18], [2], [-2], [-14], [18], [-18]], q:[[25], [9]], qb:[[-7], [-11]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{7}M_{8}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | -1 | t^2.317 + t^2.606 + t^2.731 + t^2.856 + 2*t^3.144 + 2*t^3.683 + 3*t^4.221 + t^4.51 + t^4.76 + 2*t^5.048 + t^5.212 + t^5.298 + t^5.337 + 2*t^5.462 + 2*t^5.587 + 2*t^5.75 + 3*t^5.875 - t^6. + 3*t^6.289 + t^6.413 + 4*t^6.827 + 2*t^6.952 + t^7.077 + t^7.116 + 5*t^7.365 - t^7.49 + t^7.615 + 2*t^7.654 - t^7.779 + t^7.818 + 5*t^7.904 + t^7.943 + t^8.067 + t^8.154 + 5*t^8.192 - 3*t^8.317 + 2*t^8.356 + 6*t^8.442 + 3*t^8.481 - t^8.567 + 2*t^8.731 - 7*t^8.856 + 3*t^8.894 + 3*t^8.981 - t^4.365/y - t^6.971/y - t^7.096/y + t^7.635/y + t^7.76/y + t^7.923/y + t^8.048/y + t^8.173/y + t^8.337/y + (3*t^8.462)/y + t^8.587/y + (2*t^8.75)/y + (2*t^8.875)/y - t^4.365*y - t^6.971*y - t^7.096*y + t^7.635*y + t^7.76*y + t^7.923*y + t^8.048*y + t^8.173*y + t^8.337*y + 3*t^8.462*y + t^8.587*y + 2*t^8.75*y + 2*t^8.875*y | g1^2*t^2.317 + t^2.606/g1^34 + t^2.731/g1^8 + g1^18*t^2.856 + (2*t^3.144)/g1^18 + (2*t^3.683)/g1^2 + 3*g1^14*t^4.221 + t^4.51/g1^22 + g1^30*t^4.76 + (2*t^5.048)/g1^6 + t^5.212/g1^68 + g1^46*t^5.298 + t^5.337/g1^42 + (2*t^5.462)/g1^16 + 2*g1^10*t^5.587 + (2*t^5.75)/g1^52 + (3*t^5.875)/g1^26 - t^6. + (3*t^6.289)/g1^36 + t^6.413/g1^10 + (4*t^6.827)/g1^20 + 2*g1^6*t^6.952 + g1^32*t^7.077 + t^7.116/g1^56 + (5*t^7.365)/g1^4 - g1^22*t^7.49 + g1^48*t^7.615 + (2*t^7.654)/g1^40 - t^7.779/g1^14 + t^7.818/g1^102 + 5*g1^12*t^7.904 + t^7.943/g1^76 + t^8.067/g1^50 + g1^64*t^8.154 + (5*t^8.192)/g1^24 - 3*g1^2*t^8.317 + (2*t^8.356)/g1^86 + 6*g1^28*t^8.442 + (3*t^8.481)/g1^60 - g1^54*t^8.567 + (2*t^8.731)/g1^8 - 7*g1^18*t^8.856 + (3*t^8.894)/g1^70 + 3*g1^44*t^8.981 - t^4.365/(g1^4*y) - t^6.971/(g1^38*y) - t^7.096/(g1^12*y) + (g1^4*t^7.635)/y + (g1^30*t^7.76)/y + t^7.923/(g1^32*y) + t^8.048/(g1^6*y) + (g1^20*t^8.173)/y + t^8.337/(g1^42*y) + (3*t^8.462)/(g1^16*y) + (g1^10*t^8.587)/y + (2*t^8.75)/(g1^52*y) + (2*t^8.875)/(g1^26*y) - (t^4.365*y)/g1^4 - (t^6.971*y)/g1^38 - (t^7.096*y)/g1^12 + g1^4*t^7.635*y + g1^30*t^7.76*y + (t^7.923*y)/g1^32 + (t^8.048*y)/g1^6 + g1^20*t^8.173*y + (t^8.337*y)/g1^42 + (3*t^8.462*y)/g1^16 + g1^10*t^8.587*y + (2*t^8.75*y)/g1^52 + (2*t^8.875*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6155 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{1}^{2}$ | 0.6136 | 0.7607 | 0.8067 | [X:[1.3529], M:[1.0, 0.8824, 1.1176, 0.7647, 1.2353, 0.6471, 0.8824, 1.1176], q:[0.5588, 0.4412], qb:[0.3235, 0.7941], phi:[0.4706]] | t^2.294 + t^2.647 + t^2.824 + t^3. + 2*t^3.353 + 2*t^3.706 + 3*t^4.059 + t^4.412 + 2*t^4.765 + 2*t^5.118 + 2*t^5.471 + 2*t^5.647 + t^5.824 - t^4.412/y - t^4.412*y | detail | {a: 48237/78608, c: 59797/78608, X1: 23/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 21/17, M6: 11/17, M7: 15/17, M8: 19/17, q1: 19/34, q2: 15/34, qb1: 11/34, qb2: 27/34, phi1: 8/17} |
| 6163 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6158 | 0.7604 | 0.8098 | [X:[1.3999], M:[0.8858, 0.9428, 1.0572, 0.7714, 1.2286, 0.6001, 0.9428, 1.0572, 1.0857], q:[0.6428, 0.4714], qb:[0.3, 0.7572], phi:[0.4572]] | t^2.314 + t^2.658 + t^2.828 + 2*t^3.172 + t^3.257 + 2*t^3.686 + 3*t^4.2 + t^4.543 + t^4.714 + t^5.057 + t^5.228 + t^5.315 + t^5.486 + 2*t^5.571 + 2*t^5.829 + 2*t^5.915 - t^6. - t^4.371/y - t^4.371*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2516 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.7402 | 0.9337 | 0.7927 | [M:[0.8139, 1.0758, 0.9242, 0.9655, 1.0345, 0.8553, 0.6723, 0.9242], q:[0.6482, 0.5379], qb:[0.4276, 0.4966], phi:[0.4724]] | t^2.017 + t^2.442 + t^2.566 + 2*t^2.773 + t^2.835 + t^2.897 + t^3.103 + t^4.034 + t^4.19 + t^4.314 + t^4.397 + t^4.459 + t^4.521 + t^4.583 + 2*t^4.645 + 2*t^4.79 + 2*t^4.852 + t^4.883 + t^4.914 + t^4.976 + t^5.008 + t^5.12 + t^5.132 + 2*t^5.214 + t^5.276 + t^5.306 + 2*t^5.338 + t^5.4 + t^5.462 + 3*t^5.545 + 2*t^5.607 + 2*t^5.669 + t^5.731 + t^5.876 + t^5.938 - 3*t^6. - t^4.417/y - t^4.417*y | detail |