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 |
|---|---|---|---|---|---|---|---|---|---|
| 57729 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.3423 | 1.5531 | 0.8642 | [X:[1.3749], M:[1.0], q:[0.3123, 0.5632], qb:[0.5623, 0.3128], phi:[0.3749]] | [X:[[0, 1]], M:[[0, 0]], q:[[-1, -1], [-1, -11]], qb:[[1, 6], [1, 0]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{5}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${2}\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ 2}\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 3 | t^2.25 + t^2.62 + t^2.63 + t^3. + t^3.37 + t^3.38 + 2*t^3.75 + 2*t^4.12 + 2*t^4.5 + 2*t^4.69 + 2*t^4.87 + 2*t^4.88 + t^5.25 + t^5.26 + 2*t^5.44 + 2*t^5.62 + 3*t^5.63 + 2*t^5.81 + 3*t^6. + t^6.18 + t^6.19 + 3*t^6.37 + 3*t^6.38 + t^6.56 + t^6.57 + 8*t^6.75 + 2*t^6.94 + 4*t^7.12 + 5*t^7.13 + 2*t^7.32 + 6*t^7.5 + 3*t^7.51 + 4*t^7.69 + 4*t^7.87 + 6*t^7.88 + 3*t^8.06 + t^8.07 + 11*t^8.25 + t^8.26 + 2*t^8.43 + 6*t^8.44 + t^8.62 + 6*t^8.63 + 6*t^8.81 - t^4.12/y - t^5.25/y - t^6.37/y - (2*t^6.75)/y - (3*t^7.5)/y + t^7.88/y + t^8.63/y - t^4.12*y - t^5.25*y - t^6.37*y - 2*t^6.75*y - 3*t^7.5*y + t^7.88*y + t^8.63*y | g2^2*t^2.25 + g2^5*t^2.62 + t^2.63/g2^11 + t^3. + g2^3*t^3.37 + t^3.38/g2^5 + t^3.75/g2^10 + g2^6*t^3.75 + 2*g2*t^4.12 + t^4.5/g2^4 + g2^4*t^4.5 + t^4.69/(g1^3*g2^12) + g1^3*g2^7*t^4.69 + 2*g2^7*t^4.87 + (2*t^4.88)/g2^9 + g2^2*t^5.25 + t^5.26/g2^22 + t^5.44/(g1^3*g2^22) + g1^3*g2^13*t^5.44 + 2*g2^5*t^5.62 + t^5.63/g2^11 + (2*t^5.63)/g2^3 + t^5.81/(g1^3*g2^11) + g1^3*g2^8*t^5.81 - 2*t^6. + t^6./g2^16 + (2*t^6.)/g2^8 + 2*g2^8*t^6. + t^6.18/g1^3 + g1^3*g2^3*t^6.19 + 3*g2^3*t^6.37 + t^6.38/g2^21 + (2*t^6.38)/g2^5 + g1^3*g2^14*t^6.56 + t^6.57/(g1^3*g2^21) + (3*t^6.75)/g2^10 + t^6.75/g2^2 + 4*g2^6*t^6.75 - t^6.94/(g1^3*g2^18) + (2*t^6.94)/(g1^3*g2^10) + 2*g1^3*g2^9*t^6.94 - g1^3*g2^17*t^6.94 + g2*t^7.12 + 3*g2^9*t^7.12 + (2*t^7.13)/g2^15 + (3*t^7.13)/g2^7 + t^7.32/(g1^3*g2^23) + (g1^3*t^7.32)/g2^4 - t^7.5/g2^12 + (4*t^7.5)/g2^4 + 2*g2^4*t^7.5 + g2^12*t^7.5 + (3*t^7.51)/g2^20 + (2*t^7.69)/(g1^3*g2^20) + 2*g1^3*g2^15*t^7.69 + 4*g2^7*t^7.87 + t^7.88/g2^33 + (4*t^7.88)/g2^9 + t^7.88/g2 + (2*t^8.06)/(g1^3*g2^9) - t^8.06/(g1^3*g2) + g1^3*g2^2*t^8.06 + 2*g1^3*g2^10*t^8.06 - g1^3*g2^18*t^8.06 + t^8.07/(g1^3*g2^33) + (4*t^8.25)/g2^14 + (2*t^8.25)/g2^6 + 2*g2^2*t^8.25 + 3*g2^10*t^8.25 + t^8.26/g2^22 + (g2^2*t^8.43)/g1^3 + g1^3*g2^21*t^8.43 + t^8.44/(g1^3*g2^30) + (2*t^8.44)/(g1^3*g2^22) - t^8.44/(g1^3*g2^14) + t^8.44/(g1^3*g2^6) + (2*g1^3*t^8.44)/g2^3 + g1^3*g2^13*t^8.44 + g2^13*t^8.62 + t^8.63/g2^27 + (3*t^8.63)/g2^19 - (4*t^8.63)/g2^11 + (6*t^8.63)/g2^3 + (2*t^8.81)/(g1^3*g2^19) + t^8.81/(g1^3*g2^11) - t^8.81/(g1^3*g2^3) + (g2^5*t^8.81)/g1^3 + 2*g1^3*g2^8*t^8.81 + 2*g1^3*g2^16*t^8.81 - g1^3*g2^24*t^8.81 - g1^3*t^8.82 + (g1^3*t^8.82)/g2^8 - (g2*t^4.12)/y - (g2^2*t^5.25)/y - (g2^3*t^6.37)/y - t^6.75/(g2^10*y) - (g2^6*t^6.75)/y - t^7.5/(g2^4*y) - (2*g2^4*t^7.5)/y + t^7.88/(g2*y) + t^8.25/(g2^6*y) - (g2^2*t^8.25)/y + t^8.63/(g2^11*y) - g2*t^4.12*y - g2^2*t^5.25*y - g2^3*t^6.37*y - (t^6.75*y)/g2^10 - g2^6*t^6.75*y - (t^7.5*y)/g2^4 - 2*g2^4*t^7.5*y + (t^7.88*y)/g2 + (t^8.25*y)/g2^6 - g2^2*t^8.25*y + (t^8.63*y)/g2^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 60034 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.3614 | 1.5889 | 0.8568 | [X:[1.376], M:[1.0, 0.744], q:[0.3151, 0.5551], qb:[0.5649, 0.3089], phi:[0.376]] | t^2.23 + t^2.26 + t^2.59 + t^2.64 + t^3. + t^3.36 + t^3.38 + t^3.72 + 2*t^4.13 + t^4.46 + 2*t^4.49 + t^4.51 + 2*t^4.68 + t^4.82 + 2*t^4.85 + t^4.87 + 2*t^4.9 + t^5.18 + t^5.23 + t^5.26 + t^5.4 + t^5.44 + 2*t^5.59 + 3*t^5.62 + 2*t^5.64 + t^5.8 + t^5.81 + 2*t^5.95 + 2*t^5.98 - 2*t^6. - t^4.13/y - t^5.26/y - t^4.13*y - t^5.26*y | detail | |
| 58577 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.3302 | 1.5369 | 0.8655 | [X:[1.3675], M:[1.0], q:[0.3277, 0.6524], qb:[0.51, 0.3048], phi:[0.3675]] | t^2.21 + t^2.51 + t^2.87 + t^3. + t^3.31 + t^3.49 + t^3.62 + t^3.97 + 2*t^4.1 + t^4.41 + t^4.46 + t^4.59 + 2*t^4.72 + t^5.03 + 3*t^5.08 + t^5.21 + 2*t^5.51 + t^5.56 + 2*t^5.69 + t^5.74 + 2*t^5.82 + t^5.87 - t^6. - t^4.1/y - t^5.21/y - t^4.1*y - t^5.21*y | detail | |
| 58583 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.2238 | 1.4317 | 0.8548 | [X:[1.3695], M:[1.0], q:[0.4418, 0.747], qb:[0.4056, 0.1888], phi:[0.3695]] | t^2.22 + t^2.54 + t^2.81 + t^3. + t^3.33 + 2*t^3.46 + t^3.65 + t^3.92 + 3*t^4.11 + t^4.43 + 2*t^4.57 + 2*t^4.76 + 3*t^5.02 + 2*t^5.22 + t^5.54 + t^5.61 + 4*t^5.67 + t^5.81 + 2*t^5.87 - t^6. - t^4.11/y - t^5.22/y - t^4.11*y - t^5.22*y | detail | |
| 59465 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.2327 | 1.4383 | 0.8571 | [X:[1.3654], M:[1.0], q:[0.1539, 0.4998], qb:[0.6732, 0.4807], phi:[0.3654]] | t^2.19 + t^2.48 + t^2.94 + t^3. + t^3.29 + 2*t^3.52 + t^3.58 + t^4.04 + 2*t^4.1 + t^4.38 + t^4.56 + 2*t^4.62 + 3*t^4.67 + 2*t^5.13 + t^5.19 + 2*t^5.48 + t^5.65 + 4*t^5.71 + 2*t^5.77 + t^5.88 - t^6. - t^4.1/y - t^5.19/y - t^4.1*y - t^5.19*y | detail | |
| 59058 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3204 | 1.5324 | 0.8617 | [X:[1.3769], M:[1.0], q:[0.2563, 0.4873], qb:[0.6282, 0.3668], phi:[0.3769]] | t^2.26 + t^2.56 + t^2.65 + t^3. + t^3.35 + t^3.39 + t^3.69 + t^3.78 + 3*t^4.13 + t^4.48 + t^4.52 + 3*t^4.82 + 2*t^4.91 + t^5.12 + t^5.22 + 2*t^5.26 + t^5.56 + 2*t^5.61 + 2*t^5.65 + t^5.7 + t^5.91 + 3*t^5.95 - t^6. - t^4.13/y - t^5.26/y - t^4.13*y - t^5.26*y | detail | |
| 60493 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 1.0244 | 1.2208 | 0.8391 | [X:[1.4286, 1.7143], M:[1.0], q:[0.4762, 0.1905], qb:[0.6667, 0.0952], phi:[0.4286]] | t^2.14 + 2*t^2.57 + t^3. + 2*t^3.43 + 4*t^3.86 + 2*t^4.29 + 5*t^4.71 + 7*t^5.14 + 4*t^5.57 + 6*t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y | detail | {a: 2811/2744, c: 1675/1372, X1: 10/7, X2: 12/7, M1: 1, q1: 10/21, q2: 4/21, qb1: 2/3, qb2: 2/21, phi1: 3/7} |
| 60579 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | 1.3398 | 1.5506 | 0.864 | [X:[1.3748], M:[1.0], q:[0.3328, 0.5847], qb:[0.5412, 0.2924], phi:[0.3748]] | t^2.25 + t^2.62 + t^2.63 + t^3. + t^3.37 + t^3.38 + t^3.75 + t^3.76 + 2*t^4.12 + 3*t^4.5 + 2*t^4.87 + 3*t^4.88 + 2*t^5.25 + t^5.26 + 2*t^5.62 + 5*t^5.63 + 4*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | |
| 60601 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3399 | 1.5502 | 0.8643 | [X:[1.3739], M:[1.0], q:[0.2898, 0.551], qb:[0.5796, 0.3363], phi:[0.3739]] | t^2.24 + t^2.61 + t^2.66 + t^3. + t^3.36 + t^3.39 + t^3.73 + t^3.78 + 2*t^4.12 + t^4.49 + 2*t^4.51 + 2*t^4.85 + t^4.88 + 2*t^4.91 + t^5.24 + t^5.3 + t^5.32 + 3*t^5.61 + 3*t^5.64 + t^5.66 + 3*t^5.97 - t^6. - t^4.12/y - t^5.24/y - t^4.12*y - t^5.24*y | detail | |
| 59528 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.3294 | 1.534 | 0.8667 | [X:[1.3636], M:[1.0], q:[0.2841, 0.6477], qb:[0.5341, 0.3523], phi:[0.3636]] | t^2.18 + t^2.45 + 2*t^3. + t^3.27 + 2*t^3.55 + 3*t^4.09 + t^4.36 + 3*t^4.64 + t^4.74 + t^4.81 + 3*t^5.18 + t^5.35 + 2*t^5.45 + 4*t^5.73 + 3*t^5.83 + t^5.9 - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 452979/340736, c: 522675/340736, X1: 15/11, M1: 1, q1: 25/88, q2: 57/88, qb1: 47/88, qb2: 31/88, phi1: 4/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47946 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4949 | 1.7246 | 0.8668 | [M:[0.6737], q:[0.4984, 0.4969], qb:[0.5023, 0.493], phi:[0.3349]] | t^2.009 + t^2.021 + t^2.97 + t^2.974 + t^2.998 + t^3.002 + t^3.014 + t^3.974 + t^4.002 + t^4.007 + t^4.019 + t^4.03 + t^4.042 + 2*t^4.979 + 2*t^4.984 + t^4.991 + t^4.995 + 2*t^5.007 + 2*t^5.012 + t^5.019 + 2*t^5.023 + t^5.035 + t^5.47 + t^5.481 + t^5.486 + t^5.498 + t^5.939 + t^5.944 + t^5.949 + t^5.967 + t^5.972 + t^5.977 + 2*t^5.984 + t^5.988 + t^5.995 - 3*t^6. - t^4.005/y - t^5.009/y - t^4.005*y - t^5.009*y | detail |