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 |
|---|---|---|---|---|---|---|---|---|---|
| 56066 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6675 | 0.845 | 0.79 | [M:[0.8696, 1.1926, 1.1304, 0.7452, 0.8074, 0.8074, 1.0311], q:[0.3726, 0.7578], qb:[0.4348, 0.497], phi:[0.4845]] | [M:[[14], [10], [-14], [-34], [-10], [-10], [12]], q:[[-17], [3]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}$ | -2 | t^2.236 + 2*t^2.422 + t^2.609 + t^2.795 + t^3.093 + t^3.391 + t^3.689 + t^3.876 + 2*t^4.062 + t^4.249 + t^4.435 + t^4.471 + 2*t^4.658 + 4*t^4.845 + 3*t^5.031 + 3*t^5.218 + t^5.329 + t^5.404 + 2*t^5.516 + t^5.591 + t^5.702 + t^5.889 + t^5.925 - 2*t^6. + 3*t^6.111 - t^6.187 + 4*t^6.298 - t^6.373 + 6*t^6.484 + 4*t^6.671 + t^6.707 + 4*t^6.858 + 2*t^6.894 - t^6.969 + 2*t^7.044 + 4*t^7.08 - t^7.155 + t^7.231 + 5*t^7.267 + t^7.378 + 4*t^7.453 + 2*t^7.565 + 3*t^7.64 + 4*t^7.751 + 2*t^7.827 + 5*t^7.938 + 2*t^8.013 - 2*t^8.049 + 5*t^8.124 + t^8.16 + t^8.2 - 4*t^8.236 + 4*t^8.311 + 3*t^8.347 + t^8.386 - 8*t^8.422 + 3*t^8.498 + 7*t^8.534 - 7*t^8.609 + 2*t^8.684 + 8*t^8.72 - 6*t^8.795 + t^8.871 + 10*t^8.907 + t^8.943 - 2*t^8.982 - t^4.453/y - t^6.689/y - t^6.876/y + (2*t^7.658)/y + (2*t^7.845)/y + (4*t^8.031)/y + (3*t^8.218)/y + t^8.329/y + t^8.404/y + (2*t^8.516)/y + t^8.627/y + t^8.702/y + (2*t^8.813)/y + t^8.889/y - t^4.453*y - t^6.689*y - t^6.876*y + 2*t^7.658*y + 2*t^7.845*y + 4*t^8.031*y + 3*t^8.218*y + t^8.329*y + t^8.404*y + 2*t^8.516*y + t^8.627*y + t^8.702*y + 2*t^8.813*y + t^8.889*y | t^2.236/g1^34 + (2*t^2.422)/g1^10 + g1^14*t^2.609 + g1^38*t^2.795 + g1^12*t^3.093 + t^3.391/g1^14 + t^3.689/g1^40 + t^3.876/g1^16 + 2*g1^8*t^4.062 + g1^32*t^4.249 + g1^56*t^4.435 + t^4.471/g1^68 + (2*t^4.658)/g1^44 + (4*t^4.845)/g1^20 + 3*g1^4*t^5.031 + 3*g1^28*t^5.218 + t^5.329/g1^22 + g1^52*t^5.404 + 2*g1^2*t^5.516 + g1^76*t^5.591 + g1^26*t^5.702 + g1^50*t^5.889 + t^5.925/g1^74 - 2*t^6. + (3*t^6.111)/g1^50 - g1^24*t^6.187 + (4*t^6.298)/g1^26 - g1^48*t^6.373 + (6*t^6.484)/g1^2 + 4*g1^22*t^6.671 + t^6.707/g1^102 + 4*g1^46*t^6.858 + (2*t^6.894)/g1^78 - t^6.969/g1^4 + 2*g1^70*t^7.044 + (4*t^7.08)/g1^54 - g1^20*t^7.155 + g1^94*t^7.231 + (5*t^7.267)/g1^30 + t^7.378/g1^80 + (4*t^7.453)/g1^6 + (2*t^7.565)/g1^56 + 3*g1^18*t^7.64 + (4*t^7.751)/g1^32 + 2*g1^42*t^7.827 + (5*t^7.938)/g1^8 + 2*g1^66*t^8.013 - (2*t^8.049)/g1^58 + 5*g1^16*t^8.124 + t^8.16/g1^108 + g1^90*t^8.2 - (4*t^8.236)/g1^34 + 4*g1^40*t^8.311 + (3*t^8.347)/g1^84 + g1^114*t^8.386 - (8*t^8.422)/g1^10 + 3*g1^64*t^8.498 + (7*t^8.534)/g1^60 - 7*g1^14*t^8.609 + 2*g1^88*t^8.684 + (8*t^8.72)/g1^36 - 6*g1^38*t^8.795 + g1^112*t^8.871 + (10*t^8.907)/g1^12 + t^8.943/g1^136 - 2*g1^62*t^8.982 - t^4.453/(g1^6*y) - t^6.689/(g1^40*y) - t^6.876/(g1^16*y) + (2*t^7.658)/(g1^44*y) + (2*t^7.845)/(g1^20*y) + (4*g1^4*t^8.031)/y + (3*g1^28*t^8.218)/y + t^8.329/(g1^22*y) + (g1^52*t^8.404)/y + (2*g1^2*t^8.516)/y + t^8.627/(g1^48*y) + (g1^26*t^8.702)/y + (2*t^8.813)/(g1^24*y) + (g1^50*t^8.889)/y - (t^4.453*y)/g1^6 - (t^6.689*y)/g1^40 - (t^6.876*y)/g1^16 + (2*t^7.658*y)/g1^44 + (2*t^7.845*y)/g1^20 + 4*g1^4*t^8.031*y + 3*g1^28*t^8.218*y + (t^8.329*y)/g1^22 + g1^52*t^8.404*y + 2*g1^2*t^8.516*y + (t^8.627*y)/g1^48 + g1^26*t^8.702*y + (2*t^8.813*y)/g1^24 + g1^50*t^8.889*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 |
|---|---|---|---|---|---|---|---|---|
| 58216 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{1}M_{8}$ | 0.6562 | 0.8258 | 0.7946 | [M:[0.875, 1.1964, 1.125, 0.7323, 0.8036, 0.8036, 1.0357, 1.125], q:[0.3661, 0.7589], qb:[0.4375, 0.5088], phi:[0.4822]] | t^2.197 + 2*t^2.411 + t^2.839 + t^3.107 + 2*t^3.375 + t^3.643 + t^3.857 + 2*t^4.071 + t^4.285 + t^4.394 + t^4.499 + 2*t^4.608 + 3*t^4.822 + t^5.036 + 2*t^5.25 + t^5.304 + 2*t^5.518 + t^5.572 + t^5.678 + 2*t^5.786 + t^5.84 + t^5.946 - 3*t^6. - t^4.446/y - t^4.446*y | detail | |
| 58215 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6667 | 0.8442 | 0.7897 | [M:[0.88, 1.2, 1.12, 0.72, 0.8, 0.8, 1.04], q:[0.36, 0.76], qb:[0.44, 0.52], phi:[0.48]] | t^2.16 + 2*t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 4*t^4.8 + 3*t^5.04 + 4*t^5.28 + 3*t^5.52 + 3*t^5.76 + 2*t^6. - t^4.44/y - t^4.44*y | detail | {a: 166683/250000, c: 105529/125000, M1: 22/25, M2: 6/5, M3: 28/25, M4: 18/25, M5: 4/5, M6: 4/5, M7: 26/25, q1: 9/25, q2: 19/25, qb1: 11/25, qb2: 13/25, phi1: 12/25} |
| 58221 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.6862 | 0.8793 | 0.7804 | [M:[0.862, 1.1871, 1.138, 0.7638, 0.8129, 0.8129, 1.0246, 0.7485], q:[0.3819, 0.7561], qb:[0.431, 0.4801], phi:[0.4877]] | t^2.246 + t^2.291 + 2*t^2.439 + t^2.586 + t^2.733 + t^3.074 + t^3.414 + t^3.902 + 2*t^4.049 + t^4.196 + t^4.344 + t^4.491 + t^4.537 + t^4.583 + 2*t^4.684 + 2*t^4.73 + t^4.832 + 4*t^4.877 + t^4.979 + 3*t^5.025 + 3*t^5.172 + 2*t^5.319 + t^5.365 + t^5.467 + 2*t^5.512 + 2*t^5.66 + t^5.807 - 2*t^6. - t^4.463/y - t^4.463*y | detail | |
| 58217 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6633 | 0.8395 | 0.7902 | [M:[0.8864, 1.2046, 1.1136, 0.7043, 0.7954, 0.7954, 1.0455, 1.0225], q:[0.3522, 0.7614], qb:[0.4432, 0.5343], phi:[0.4772]] | t^2.113 + 2*t^2.386 + t^2.659 + t^3.067 + t^3.137 + t^3.341 + t^3.545 + t^3.818 + 2*t^4.091 + t^4.226 + t^4.364 + 2*t^4.499 + t^4.637 + 4*t^4.772 + 2*t^5.046 + t^5.18 + t^5.25 + t^5.319 + 2*t^5.454 + 2*t^5.523 + t^5.658 + t^5.727 + t^5.796 + 3*t^5.931 - 2*t^6. - t^4.432/y - t^4.432*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 |
|---|---|---|---|---|---|---|---|---|---|
| 50910 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6707 | 0.8503 | 0.7887 | [M:[0.8749, 1.1963, 1.1251, 0.7324, 0.8037, 0.8037], q:[0.3662, 0.7589], qb:[0.4374, 0.5087], phi:[0.4822]] | t^2.197 + 2*t^2.411 + t^2.625 + t^2.838 + t^2.893 + t^3.375 + t^3.644 + t^3.858 + 2*t^4.071 + t^4.285 + t^4.395 + t^4.499 + 2*t^4.608 + 4*t^4.822 + 3*t^5.036 + t^5.09 + 3*t^5.249 + 2*t^5.304 + t^5.463 + t^5.518 + t^5.677 + t^5.731 + t^5.786 + t^5.841 - 2*t^6. - t^4.447/y - t^4.447*y | detail |