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 |
|---|---|---|---|---|---|---|---|---|---|
| 2971 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7007 | 0.8906 | 0.7868 | [M:[1.0, 0.8343, 1.1657, 0.6686, 0.8343, 0.7514], q:[0.4393, 0.5607], qb:[0.395, 0.7707], phi:[0.4586]] | [M:[[0], [-8], [8], [-16], [-8], [-12]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.006 + t^2.254 + 2*t^2.503 + t^2.751 + t^2.867 + t^3. + t^3.63 + t^3.879 + 2*t^4.012 + t^4.243 + t^4.26 + t^4.376 + 3*t^4.509 + t^4.74 + 3*t^4.757 + t^4.873 + 5*t^5.006 + t^5.121 + 3*t^5.254 + 2*t^5.37 + 2*t^5.503 + t^5.618 + t^5.734 + t^5.751 + 2*t^5.884 - 2*t^6. + 2*t^6.017 + 2*t^6.133 + 2*t^6.266 - t^6.364 + 3*t^6.382 + 5*t^6.514 + 2*t^6.63 + 2*t^6.746 + 5*t^6.763 + 3*t^6.879 + 7*t^7.012 + t^7.11 + 2*t^7.243 + 7*t^7.26 + t^7.376 + 8*t^7.509 + t^7.607 + 2*t^7.624 + t^7.642 + 6*t^7.757 + 2*t^7.873 + 2*t^7.89 + 2*t^8.006 + 3*t^8.023 + t^8.121 + t^8.139 + t^8.237 + 2*t^8.272 - t^8.37 + 5*t^8.387 + t^8.486 - 6*t^8.503 + 6*t^8.52 + t^8.601 - t^8.618 + 5*t^8.636 - t^8.751 + 7*t^8.769 - 5*t^8.867 + 7*t^8.884 + t^8.983 - t^4.376/y - t^6.382/y - t^6.63/y - t^6.879/y - t^7.127/y + t^7.26/y + (2*t^7.509)/y + t^7.624/y + (3*t^7.757)/y + (2*t^7.873)/y + (3*t^8.006)/y + (2*t^8.121)/y + (3*t^8.254)/y + (3*t^8.37)/y - t^8.387/y + (2*t^8.503)/y + t^8.618/y + t^8.751/y + t^8.867/y - t^4.376*y - t^6.382*y - t^6.63*y - t^6.879*y - t^7.127*y + t^7.26*y + 2*t^7.509*y + t^7.624*y + 3*t^7.757*y + 2*t^7.873*y + 3*t^8.006*y + 2*t^8.121*y + 3*t^8.254*y + 3*t^8.37*y - t^8.387*y + 2*t^8.503*y + t^8.618*y + t^8.751*y + t^8.867*y | t^2.006/g1^16 + t^2.254/g1^12 + (2*t^2.503)/g1^8 + t^2.751/g1^4 + g1^22*t^2.867 + t^3. + t^3.63/g1^14 + t^3.879/g1^10 + (2*t^4.012)/g1^32 + g1^20*t^4.243 + t^4.26/g1^28 + t^4.376/g1^2 + (3*t^4.509)/g1^24 + g1^28*t^4.74 + (3*t^4.757)/g1^20 + g1^6*t^4.873 + (5*t^5.006)/g1^16 + g1^10*t^5.121 + (3*t^5.254)/g1^12 + 2*g1^14*t^5.37 + (2*t^5.503)/g1^8 + g1^18*t^5.618 + g1^44*t^5.734 + t^5.751/g1^4 + (2*t^5.884)/g1^26 - 2*t^6. + (2*t^6.017)/g1^48 + (2*t^6.133)/g1^22 + (2*t^6.266)/g1^44 - g1^30*t^6.364 + (3*t^6.382)/g1^18 + (5*t^6.514)/g1^40 + (2*t^6.63)/g1^14 + 2*g1^12*t^6.746 + (5*t^6.763)/g1^36 + (3*t^6.879)/g1^10 + (7*t^7.012)/g1^32 + g1^42*t^7.11 + 2*g1^20*t^7.243 + (7*t^7.26)/g1^28 + t^7.376/g1^2 + (8*t^7.509)/g1^24 + g1^50*t^7.607 + 2*g1^2*t^7.624 + t^7.642/g1^46 + (6*t^7.757)/g1^20 + 2*g1^6*t^7.873 + (2*t^7.89)/g1^42 + (2*t^8.006)/g1^16 + (3*t^8.023)/g1^64 + g1^10*t^8.121 + t^8.139/g1^38 + g1^36*t^8.237 + (2*t^8.272)/g1^60 - g1^14*t^8.37 + (5*t^8.387)/g1^34 + g1^40*t^8.486 - (6*t^8.503)/g1^8 + (6*t^8.52)/g1^56 + g1^66*t^8.601 - g1^18*t^8.618 + (5*t^8.636)/g1^30 - t^8.751/g1^4 + (7*t^8.769)/g1^52 - 5*g1^22*t^8.867 + (7*t^8.884)/g1^26 + g1^48*t^8.983 - t^4.376/(g1^2*y) - t^6.382/(g1^18*y) - t^6.63/(g1^14*y) - t^6.879/(g1^10*y) - t^7.127/(g1^6*y) + t^7.26/(g1^28*y) + (2*t^7.509)/(g1^24*y) + (g1^2*t^7.624)/y + (3*t^7.757)/(g1^20*y) + (2*g1^6*t^7.873)/y + (3*t^8.006)/(g1^16*y) + (2*g1^10*t^8.121)/y + (3*t^8.254)/(g1^12*y) + (3*g1^14*t^8.37)/y - t^8.387/(g1^34*y) + (2*t^8.503)/(g1^8*y) + (g1^18*t^8.618)/y + t^8.751/(g1^4*y) + (g1^22*t^8.867)/y - (t^4.376*y)/g1^2 - (t^6.382*y)/g1^18 - (t^6.63*y)/g1^14 - (t^6.879*y)/g1^10 - (t^7.127*y)/g1^6 + (t^7.26*y)/g1^28 + (2*t^7.509*y)/g1^24 + g1^2*t^7.624*y + (3*t^7.757*y)/g1^20 + 2*g1^6*t^7.873*y + (3*t^8.006*y)/g1^16 + 2*g1^10*t^8.121*y + (3*t^8.254*y)/g1^12 + 3*g1^14*t^8.37*y - (t^8.387*y)/g1^34 + (2*t^8.503*y)/g1^8 + g1^18*t^8.618*y + (t^8.751*y)/g1^4 + g1^22*t^8.867*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 |
|---|---|---|---|---|---|---|---|---|
| 3572 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6995 | 0.887 | 0.7886 | [M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462, 0.7692], q:[0.4615, 0.5385], qb:[0.3846, 0.7692], phi:[0.4615]] | t^2.077 + t^2.308 + 2*t^2.538 + 2*t^2.769 + t^3. + t^3.692 + t^3.923 + 3*t^4.154 + 2*t^4.385 + 4*t^4.615 + 4*t^4.846 + 6*t^5.077 + 5*t^5.308 + 4*t^5.538 + t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 6147/8788, c: 31179/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, M6: 10/13, q1: 6/13, q2: 7/13, qb1: 5/13, qb2: 10/13, phi1: 6/13} |
| 3575 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.7211 | 0.9291 | 0.7761 | [M:[1.0, 0.8358, 1.1642, 0.6716, 0.8358, 0.7537, 0.7053], q:[0.4421, 0.5579], qb:[0.3937, 0.7705], phi:[0.4589]] | t^2.015 + t^2.116 + t^2.261 + 2*t^2.507 + t^2.754 + t^2.855 + t^3. + t^3.638 + 2*t^4.03 + t^4.131 + 2*t^4.232 + t^4.276 + 2*t^4.377 + 3*t^4.522 + 2*t^4.623 + t^4.724 + 3*t^4.768 + 2*t^4.869 + t^4.97 + 5*t^5.015 + 2*t^5.116 + 3*t^5.261 + 2*t^5.362 + 2*t^5.507 + t^5.608 + t^5.709 + 2*t^5.754 + t^5.899 - 2*t^6. - t^4.377/y - t^4.377*y | detail | |
| 3573 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ | 0.6779 | 0.8486 | 0.7988 | [X:[1.3658], M:[1.0, 0.8171, 1.1829, 0.6342, 0.8171, 0.7257, 0.9971], q:[0.4071, 0.5929], qb:[0.41, 0.7729], phi:[0.4543]] | t^2.177 + 2*t^2.451 + t^2.726 + t^2.991 + t^3. + t^3.54 + t^3.805 + t^3.814 + t^4.097 + t^4.354 + t^4.363 + t^4.372 + 2*t^4.628 + 4*t^4.903 + t^4.92 + t^5.168 + 3*t^5.177 + t^5.443 + 2*t^5.451 + 2*t^5.717 + t^5.726 + 2*t^5.982 + 3*t^5.991 - 2*t^6. - t^4.363/y - t^4.363*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1935 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6818 | 0.8558 | 0.7967 | [M:[1.0, 0.8382, 1.1618, 0.6764, 0.8382], q:[0.4466, 0.5534], qb:[0.3916, 0.7702], phi:[0.4595]] | t^2.029 + 2*t^2.515 + t^2.757 + t^2.835 + t^3. + t^3.65 + t^3.728 + t^3.893 + 2*t^4.058 + t^4.214 + t^4.379 + 2*t^4.544 + t^4.699 + t^4.786 + t^4.864 + 4*t^5.029 + 2*t^5.272 + 2*t^5.35 + 2*t^5.515 + t^5.592 + t^5.67 + 2*t^5.757 + t^5.922 - 2*t^6. - t^4.379/y - t^4.379*y | detail |