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 |
|---|---|---|---|---|---|---|---|---|---|
| 4447 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.6896 | 0.8852 | 0.7791 | [X:[1.5612], M:[0.4388, 1.1871, 0.7806, 0.8776, 0.7806, 0.6836, 0.8452, 0.7483], q:[0.7968, 0.7644], qb:[0.4549, 0.358], phi:[0.4065]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6], [36], [-14], [16]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{7}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.051 + t^2.245 + 2*t^2.342 + t^2.439 + t^2.536 + t^2.633 + t^3.367 + t^3.561 + t^4.102 + t^4.296 + 2*t^4.393 + 2*t^4.49 + 4*t^4.587 + 6*t^4.684 + 2*t^4.781 + 5*t^4.878 + 3*t^4.975 + t^5.071 + t^5.168 + t^5.265 + t^5.418 + 2*t^5.612 + t^5.709 + 3*t^5.806 + 2*t^5.903 - 2*t^6. + t^6.153 - 2*t^6.291 + t^6.347 + 2*t^6.444 + 2*t^6.541 + 4*t^6.638 + 8*t^6.735 + 5*t^6.832 + 10*t^6.929 + 10*t^7.025 + 7*t^7.122 + 8*t^7.219 + 6*t^7.316 + 4*t^7.413 + t^7.469 + 3*t^7.51 + 3*t^7.607 + 2*t^7.663 + t^7.704 + t^7.76 + t^7.801 + 4*t^7.857 + t^7.898 + 4*t^7.954 + 2*t^8.051 + 3*t^8.148 + t^8.204 + t^8.245 - 8*t^8.342 + t^8.398 - 2*t^8.439 + 2*t^8.495 - 6*t^8.536 + 2*t^8.592 - 8*t^8.633 + 4*t^8.689 - 2*t^8.73 + 8*t^8.786 - 2*t^8.827 + 5*t^8.883 - 2*t^8.924 + 12*t^8.979 - t^4.219/y - t^6.27/y - t^6.464/y - (2*t^6.561)/y - t^6.755/y - t^6.852/y + t^7.296/y + (2*t^7.393)/y + t^7.49/y + (4*t^7.587)/y + (4*t^7.684)/y + (3*t^7.781)/y + (5*t^7.878)/y + (4*t^7.975)/y + t^8.071/y + (2*t^8.168)/y - t^8.321/y + t^8.418/y - t^8.515/y + t^8.709/y - t^8.806/y - t^8.903/y - t^4.219*y - t^6.27*y - t^6.464*y - 2*t^6.561*y - t^6.755*y - t^6.852*y + t^7.296*y + 2*t^7.393*y + t^7.49*y + 4*t^7.587*y + 4*t^7.684*y + 3*t^7.781*y + 5*t^7.878*y + 4*t^7.975*y + t^8.071*y + 2*t^8.168*y - t^8.321*y + t^8.418*y - t^8.515*y + t^8.709*y - t^8.806*y - t^8.903*y | g1^36*t^2.051 + g1^16*t^2.245 + 2*g1^6*t^2.342 + t^2.439/g1^4 + t^2.536/g1^14 + t^2.633/g1^24 + g1^24*t^3.367 + g1^4*t^3.561 + g1^72*t^4.102 + g1^52*t^4.296 + 2*g1^42*t^4.393 + 2*g1^32*t^4.49 + 4*g1^22*t^4.587 + 6*g1^12*t^4.684 + 2*g1^2*t^4.781 + (5*t^4.878)/g1^8 + (3*t^4.975)/g1^18 + t^5.071/g1^28 + t^5.168/g1^38 + t^5.265/g1^48 + g1^60*t^5.418 + 2*g1^40*t^5.612 + g1^30*t^5.709 + 3*g1^20*t^5.806 + 2*g1^10*t^5.903 - 2*t^6. + g1^108*t^6.153 - (2*t^6.291)/g1^30 + g1^88*t^6.347 + 2*g1^78*t^6.444 + 2*g1^68*t^6.541 + 4*g1^58*t^6.638 + 8*g1^48*t^6.735 + 5*g1^38*t^6.832 + 10*g1^28*t^6.929 + 10*g1^18*t^7.025 + 7*g1^8*t^7.122 + (8*t^7.219)/g1^2 + (6*t^7.316)/g1^12 + (4*t^7.413)/g1^22 + g1^96*t^7.469 + (3*t^7.51)/g1^32 + (3*t^7.607)/g1^42 + 2*g1^76*t^7.663 + t^7.704/g1^52 + g1^66*t^7.76 + t^7.801/g1^62 + 4*g1^56*t^7.857 + t^7.898/g1^72 + 4*g1^46*t^7.954 + 2*g1^36*t^8.051 + 3*g1^26*t^8.148 + g1^144*t^8.204 + g1^16*t^8.245 - 8*g1^6*t^8.342 + g1^124*t^8.398 - (2*t^8.439)/g1^4 + 2*g1^114*t^8.495 - (6*t^8.536)/g1^14 + 2*g1^104*t^8.592 - (8*t^8.633)/g1^24 + 4*g1^94*t^8.689 - (2*t^8.73)/g1^34 + 8*g1^84*t^8.786 - (2*t^8.827)/g1^44 + 5*g1^74*t^8.883 - (2*t^8.924)/g1^54 + 12*g1^64*t^8.979 - t^4.219/(g1^2*y) - (g1^34*t^6.27)/y - (g1^14*t^6.464)/y - (2*g1^4*t^6.561)/y - t^6.755/(g1^16*y) - t^6.852/(g1^26*y) + (g1^52*t^7.296)/y + (2*g1^42*t^7.393)/y + (g1^32*t^7.49)/y + (4*g1^22*t^7.587)/y + (4*g1^12*t^7.684)/y + (3*g1^2*t^7.781)/y + (5*t^7.878)/(g1^8*y) + (4*t^7.975)/(g1^18*y) + t^8.071/(g1^28*y) + (2*t^8.168)/(g1^38*y) - (g1^70*t^8.321)/y + (g1^60*t^8.418)/y - (g1^50*t^8.515)/y + (g1^30*t^8.709)/y - (g1^20*t^8.806)/y - (g1^10*t^8.903)/y - (t^4.219*y)/g1^2 - g1^34*t^6.27*y - g1^14*t^6.464*y - 2*g1^4*t^6.561*y - (t^6.755*y)/g1^16 - (t^6.852*y)/g1^26 + g1^52*t^7.296*y + 2*g1^42*t^7.393*y + g1^32*t^7.49*y + 4*g1^22*t^7.587*y + 4*g1^12*t^7.684*y + 3*g1^2*t^7.781*y + (5*t^7.878*y)/g1^8 + (4*t^7.975*y)/g1^18 + (t^8.071*y)/g1^28 + (2*t^8.168*y)/g1^38 - g1^70*t^8.321*y + g1^60*t^8.418*y - g1^50*t^8.515*y + g1^30*t^8.709*y - g1^20*t^8.806*y - g1^10*t^8.903*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 |
|---|---|---|---|---|---|---|---|---|
| 5956 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ + ${ }M_{6}M_{8}$ + ${ }M_{4}X_{2}$ | 0.562 | 0.7062 | 0.7958 | [X:[1.6923, 1.3846], M:[0.3077, 1.2308, 0.8462, 0.6154, 0.8462, 1.0769, 0.6923, 0.9231], q:[0.8077, 0.8846], qb:[0.2692, 0.5], phi:[0.3846]] | t^2.077 + t^2.308 + 2*t^2.538 + t^2.769 + t^3.231 + t^3.692 + 2*t^4.154 + t^4.385 + 4*t^4.615 + 2*t^4.846 + 5*t^5.077 + 2*t^5.308 + t^5.538 + 2*t^5.769 - 2*t^6. - t^4.154/y - t^4.154*y | detail | {a: 19755/35152, c: 24825/35152, X1: 22/13, X2: 18/13, M1: 4/13, M2: 16/13, M3: 11/13, M4: 8/13, M5: 11/13, M6: 14/13, M7: 9/13, M8: 12/13, q1: 21/26, q2: 23/26, qb1: 7/26, qb2: 1/2, phi1: 5/13} |
| 5955 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{2}$ | 0.5977 | 0.7505 | 0.7964 | [X:[1.6667, 1.3333], M:[0.3333, 1.2222, 0.8333, 0.6667, 0.8333, 1.0, 0.7222, 0.8889], q:[0.8056, 0.8611], qb:[0.3056, 0.4722], phi:[0.3889]] | t^2.167 + t^2.333 + 2*t^2.5 + t^2.667 + t^3. + t^3.667 + 2*t^4. + t^4.5 + 4*t^4.667 + 2*t^4.833 + 5*t^5. + 4*t^5.167 + 2*t^5.333 - 2*t^6. - t^4.167/y - t^4.167*y | detail | {a: 6197/10368, c: 7781/10368, X1: 5/3, X2: 4/3, M1: 1/3, M2: 11/9, M3: 5/6, M4: 2/3, M5: 5/6, M6: 1, M7: 13/18, M8: 8/9, q1: 29/36, q2: 31/36, qb1: 11/36, qb2: 17/36, phi1: 7/18} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2410 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6706 | 0.85 | 0.789 | [X:[1.5653], M:[0.4347, 1.1884, 0.7827, 0.8693, 0.7827, 0.696, 0.8405], q:[0.7971, 0.7682], qb:[0.4491, 0.3624], phi:[0.4058]] | t^2.088 + 2*t^2.348 + t^2.435 + t^2.521 + t^2.608 + t^3.392 + t^3.565 + t^3.739 + t^4.176 + 2*t^4.436 + t^4.523 + 2*t^4.609 + 5*t^4.696 + t^4.783 + 4*t^4.869 + 3*t^4.956 + t^5.043 + t^5.129 + t^5.216 + t^5.48 + t^5.653 + t^5.74 + 3*t^5.827 + 2*t^5.913 - 2*t^6. - t^4.217/y - t^4.217*y | detail |