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 |
|---|---|---|---|---|---|---|---|---|---|
| 55159 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6836 | 0.8569 | 0.7977 | [M:[0.8445, 1.0756, 1.1555, 0.7732, 0.9244, 0.7646], q:[0.3866, 0.7689], qb:[0.5378, 0.4579], phi:[0.4622]] | [M:[[5], [4], [-5], [-12], [-4], [14]], q:[[-6], [1]], qb:[[2], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.294 + t^2.32 + t^2.534 + 2*t^2.773 + t^2.987 + t^3.466 + 2*t^3.92 + t^4.134 + t^4.16 + t^4.374 + t^4.588 + 2*t^4.613 + t^4.639 + t^4.827 + t^4.853 + 3*t^5.067 + 2*t^5.093 + t^5.281 + 3*t^5.307 + t^5.521 + 2*t^5.546 + 2*t^5.76 + t^5.974 - 2*t^6. + t^6.214 + 2*t^6.24 + t^6.428 + 2*t^6.454 + t^6.479 + 2*t^6.668 + 3*t^6.693 + t^6.882 + 6*t^6.907 + 2*t^6.933 + t^6.959 + 2*t^7.121 + t^7.147 + 3*t^7.361 + 3*t^7.387 + 2*t^7.412 + t^7.575 + 3*t^7.601 + 2*t^7.626 + t^7.815 + 4*t^7.84 + 2*t^7.866 + 4*t^8.054 + 3*t^8.08 + 2*t^8.268 - t^8.32 + 3*t^8.508 + t^8.722 + 3*t^8.748 - 3*t^8.773 + t^8.799 + 3*t^8.962 - t^4.387/y - t^6.68/y - t^6.706/y - t^7.16/y + (2*t^7.613)/y + t^7.827/y + t^7.853/y + (3*t^8.067)/y + (3*t^8.093)/y + t^8.281/y + (3*t^8.307)/y + t^8.521/y + t^8.546/y + (3*t^8.76)/y + t^8.786/y - t^8.974/y - t^4.387*y - t^6.68*y - t^6.706*y - t^7.16*y + 2*t^7.613*y + t^7.827*y + t^7.853*y + 3*t^8.067*y + 3*t^8.093*y + t^8.281*y + 3*t^8.307*y + t^8.521*y + t^8.546*y + 3*t^8.76*y + t^8.786*y - t^8.974*y | g1^14*t^2.294 + t^2.32/g1^12 + g1^5*t^2.534 + (2*t^2.773)/g1^4 + g1^13*t^2.987 + t^3.466/g1^5 + 2*g1^3*t^3.92 + g1^20*t^4.134 + t^4.16/g1^6 + g1^11*t^4.374 + g1^28*t^4.588 + 2*g1^2*t^4.613 + t^4.639/g1^24 + g1^19*t^4.827 + t^4.853/g1^7 + 3*g1^10*t^5.067 + (2*t^5.093)/g1^16 + g1^27*t^5.281 + 3*g1*t^5.307 + g1^18*t^5.521 + (2*t^5.546)/g1^8 + 2*g1^9*t^5.76 + g1^26*t^5.974 - 2*t^6. + g1^17*t^6.214 + (2*t^6.24)/g1^9 + g1^34*t^6.428 + 2*g1^8*t^6.454 + t^6.479/g1^18 + 2*g1^25*t^6.668 + (3*t^6.693)/g1 + g1^42*t^6.882 + 6*g1^16*t^6.907 + (2*t^6.933)/g1^10 + t^6.959/g1^36 + 2*g1^33*t^7.121 + g1^7*t^7.147 + 3*g1^24*t^7.361 + (3*t^7.387)/g1^2 + (2*t^7.412)/g1^28 + g1^41*t^7.575 + 3*g1^15*t^7.601 + (2*t^7.626)/g1^11 + g1^32*t^7.815 + 4*g1^6*t^7.84 + (2*t^7.866)/g1^20 + 4*g1^23*t^8.054 + (3*t^8.08)/g1^3 + 2*g1^40*t^8.268 - t^8.32/g1^12 + 3*g1^31*t^8.508 + g1^48*t^8.722 + 3*g1^22*t^8.748 - (3*t^8.773)/g1^4 + t^8.799/g1^30 + 3*g1^39*t^8.962 - t^4.387/(g1^2*y) - (g1^12*t^6.68)/y - t^6.706/(g1^14*y) - t^7.16/(g1^6*y) + (2*g1^2*t^7.613)/y + (g1^19*t^7.827)/y + t^7.853/(g1^7*y) + (3*g1^10*t^8.067)/y + (3*t^8.093)/(g1^16*y) + (g1^27*t^8.281)/y + (3*g1*t^8.307)/y + (g1^18*t^8.521)/y + t^8.546/(g1^8*y) + (3*g1^9*t^8.76)/y + t^8.786/(g1^17*y) - (g1^26*t^8.974)/y - (t^4.387*y)/g1^2 - g1^12*t^6.68*y - (t^6.706*y)/g1^14 - (t^7.16*y)/g1^6 + 2*g1^2*t^7.613*y + g1^19*t^7.827*y + (t^7.853*y)/g1^7 + 3*g1^10*t^8.067*y + (3*t^8.093*y)/g1^16 + g1^27*t^8.281*y + 3*g1*t^8.307*y + g1^18*t^8.521*y + (t^8.546*y)/g1^8 + 3*g1^9*t^8.76*y + (t^8.786*y)/g1^17 - g1^26*t^8.974*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 |
|---|---|---|---|---|---|---|---|---|
| 56851 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{1}$ | 0.6068 | 0.7407 | 0.8192 | [X:[1.4286], M:[0.9286, 1.1429, 1.0714, 0.5714, 0.8571, 1.0], q:[0.2857, 0.7857], qb:[0.5714, 0.6429], phi:[0.4286]] | 2*t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.643 + t^3.857 + 2*t^4.071 + t^4.286 + t^4.714 + 3*t^5.143 + 2*t^5.357 + 3*t^5.571 + t^5.786 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 1665/2744, c: 4065/5488, X1: 10/7, M1: 13/14, M2: 8/7, M3: 15/14, M4: 4/7, M5: 6/7, M6: 1, q1: 2/7, q2: 11/14, qb1: 4/7, qb2: 9/14, phi1: 3/7} |
| 56853 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6836 | 0.8567 | 0.798 | [M:[0.8462, 1.0769, 1.1538, 0.7692, 0.9231, 0.7692], q:[0.3846, 0.7692], qb:[0.5385, 0.4615], phi:[0.4615]] | 2*t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + 2*t^3.923 + 2*t^4.154 + t^4.385 + 4*t^4.615 + 2*t^4.846 + 5*t^5.077 + 4*t^5.308 + 3*t^5.538 + 2*t^5.769 - t^6. - t^4.385/y - t^4.385*y | detail | {a: 12015/17576, c: 15057/17576, M1: 11/13, M2: 14/13, M3: 15/13, M4: 10/13, M5: 12/13, M6: 10/13, q1: 5/13, q2: 10/13, qb1: 7/13, qb2: 6/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46891 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6658 | 0.8247 | 0.8074 | [M:[0.8534, 1.0828, 1.1466, 0.7517, 0.9172], q:[0.3759, 0.7707], qb:[0.5414, 0.4776], phi:[0.4586]] | t^2.255 + t^2.56 + 2*t^2.752 + t^3.057 + t^3.44 + t^3.631 + 2*t^3.936 + t^4.128 + t^4.241 + t^4.433 + t^4.51 + t^4.624 + t^4.816 + 2*t^5.007 + t^5.121 + 3*t^5.312 + 2*t^5.503 + t^5.617 + t^5.809 + t^5.886 - 2*t^6. - t^4.376/y - t^4.376*y | detail |