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 |
|---|---|---|---|---|---|---|---|---|---|
| 4585 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6524 | 0.8174 | 0.7982 | [M:[1.0369, 0.8812, 1.1188, 0.7992, 1.2008, 0.7992, 1.1188, 0.8033], q:[0.5226, 0.4406], qb:[0.3586, 0.7602], phi:[0.4795]] | [M:[[-38], [14], [-14], [-10], [10], [-10], [-14], [40]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -3 | 2*t^2.398 + t^2.41 + t^2.877 + t^3.111 + 2*t^3.357 + t^3.836 + t^3.848 + 2*t^4.082 + t^4.328 + t^4.574 + 3*t^4.795 + 2*t^4.807 + t^4.82 + 2*t^5.275 + t^5.287 + t^5.508 + t^5.52 + 3*t^5.754 + 2*t^5.766 + t^5.988 - 3*t^6. + t^6.221 + 3*t^6.234 + t^6.258 + 2*t^6.467 + 2*t^6.48 + t^6.492 + 2*t^6.713 + t^6.725 + t^6.738 + t^6.959 + t^6.971 + t^6.984 + 5*t^7.193 + 3*t^7.205 + 2*t^7.217 + t^7.23 + t^7.439 + 3*t^7.672 + 2*t^7.684 + t^7.697 + t^7.906 + t^7.918 + 2*t^7.93 + 4*t^8.152 + 4*t^8.164 + 2*t^8.176 + t^8.385 - 5*t^8.398 - 2*t^8.41 + t^8.422 + t^8.619 + 5*t^8.631 + 2*t^8.656 + t^8.668 + 2*t^8.865 + t^8.877 + 2*t^8.902 - t^4.439/y - t^6.836/y - t^6.848/y + t^7.082/y - t^7.316/y + t^7.328/y - t^7.549/y + t^7.561/y + (2*t^7.807)/y + t^8.029/y + t^8.041/y + (2*t^8.275)/y + t^8.287/y + (2*t^8.508)/y + t^8.52/y + (4*t^8.754)/y + (2*t^8.766)/y + t^8.988/y - t^4.439*y - t^6.836*y - t^6.848*y + t^7.082*y - t^7.316*y + t^7.328*y - t^7.549*y + t^7.561*y + 2*t^7.807*y + t^8.029*y + t^8.041*y + 2*t^8.275*y + t^8.287*y + 2*t^8.508*y + t^8.52*y + 4*t^8.754*y + 2*t^8.766*y + t^8.988*y | (2*t^2.398)/g1^10 + g1^40*t^2.41 + t^2.877/g1^12 + t^3.111/g1^38 + (2*t^3.357)/g1^14 + t^3.836/g1^16 + g1^34*t^3.848 + 2*g1^8*t^4.082 + g1^32*t^4.328 + g1^56*t^4.574 + (3*t^4.795)/g1^20 + 2*g1^30*t^4.807 + g1^80*t^4.82 + (2*t^5.275)/g1^22 + g1^28*t^5.287 + t^5.508/g1^48 + g1^2*t^5.52 + (3*t^5.754)/g1^24 + 2*g1^26*t^5.766 + t^5.988/g1^50 - 3*t^6. + t^6.221/g1^76 + (3*t^6.234)/g1^26 + g1^74*t^6.258 + (2*t^6.467)/g1^52 + (2*t^6.48)/g1^2 + g1^48*t^6.492 + (2*t^6.713)/g1^28 + g1^22*t^6.725 + g1^72*t^6.738 + t^6.959/g1^4 + g1^46*t^6.971 + g1^96*t^6.984 + (5*t^7.193)/g1^30 + 3*g1^20*t^7.205 + 2*g1^70*t^7.217 + g1^120*t^7.23 + t^7.439/g1^6 + (3*t^7.672)/g1^32 + 2*g1^18*t^7.684 + g1^68*t^7.697 + t^7.906/g1^58 + t^7.918/g1^8 + 2*g1^42*t^7.93 + (4*t^8.152)/g1^34 + 4*g1^16*t^8.164 + 2*g1^66*t^8.176 + t^8.385/g1^60 - (5*t^8.398)/g1^10 - 2*g1^40*t^8.41 + g1^90*t^8.422 + t^8.619/g1^86 + (5*t^8.631)/g1^36 + 2*g1^64*t^8.656 + g1^114*t^8.668 + (2*t^8.865)/g1^62 + t^8.877/g1^12 + 2*g1^88*t^8.902 - t^4.439/(g1^6*y) - t^6.836/(g1^16*y) - (g1^34*t^6.848)/y + (g1^8*t^7.082)/y - t^7.316/(g1^18*y) + (g1^32*t^7.328)/y - t^7.549/(g1^44*y) + (g1^6*t^7.561)/y + (2*g1^30*t^7.807)/y + t^8.029/(g1^46*y) + (g1^4*t^8.041)/y + (2*t^8.275)/(g1^22*y) + (g1^28*t^8.287)/y + (2*t^8.508)/(g1^48*y) + (g1^2*t^8.52)/y + (4*t^8.754)/(g1^24*y) + (2*g1^26*t^8.766)/y + t^8.988/(g1^50*y) - (t^4.439*y)/g1^6 - (t^6.836*y)/g1^16 - g1^34*t^6.848*y + g1^8*t^7.082*y - (t^7.316*y)/g1^18 + g1^32*t^7.328*y - (t^7.549*y)/g1^44 + g1^6*t^7.561*y + 2*g1^30*t^7.807*y + (t^8.029*y)/g1^46 + g1^4*t^8.041*y + (2*t^8.275*y)/g1^22 + g1^28*t^8.287*y + (2*t^8.508*y)/g1^48 + g1^2*t^8.52*y + (4*t^8.754*y)/g1^24 + 2*g1^26*t^8.766*y + (t^8.988*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6107 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}^{2}$ | 0.6203 | 0.7828 | 0.7924 | [M:[0.85, 0.95, 1.05, 0.75, 1.25, 0.75, 1.05, 1.0], q:[0.675, 0.475], qb:[0.275, 0.775], phi:[0.45]] | 2*t^2.25 + t^2.55 + t^2.7 + t^3. + 2*t^3.15 + t^3.6 + 2*t^4.2 + t^4.35 + 3*t^4.5 + 2*t^4.8 + 2*t^4.95 + t^5.1 + 3*t^5.25 + 4*t^5.4 + t^5.55 + 3*t^5.7 + 3*t^5.85 - 2*t^6. - t^4.35/y - t^4.35*y | detail | {a: 19851/32000, c: 25051/32000, M1: 17/20, M2: 19/20, M3: 21/20, M4: 3/4, M5: 5/4, M6: 3/4, M7: 21/20, M8: 1, q1: 27/40, q2: 19/40, qb1: 11/40, qb2: 31/40, phi1: 9/20} |
| 6108 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6725 | 0.8551 | 0.7864 | [M:[1.0427, 0.879, 1.121, 0.8007, 1.1993, 0.8007, 1.121, 0.7972, 0.7189], q:[0.5178, 0.4395], qb:[0.3612, 0.7598], phi:[0.4804]] | t^2.157 + t^2.391 + 2*t^2.402 + t^2.883 + t^3.128 + 2*t^3.363 + t^3.833 + 2*t^4.078 + 2*t^4.313 + 2*t^4.548 + 2*t^4.559 + t^4.783 + 2*t^4.794 + 3*t^4.804 + t^5.039 + t^5.274 + 3*t^5.285 + 3*t^5.52 + t^5.53 + 2*t^5.754 + 3*t^5.765 + t^5.989 - 3*t^6. - t^4.441/y - t^4.441*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2531 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6374 | 0.7922 | 0.8046 | [M:[0.9961, 0.8962, 1.1038, 0.7885, 1.2115, 0.7885, 1.1038], q:[0.5558, 0.4481], qb:[0.3404, 0.7635], phi:[0.4731]] | 2*t^2.365 + t^2.838 + t^2.988 + 2*t^3.312 + t^3.461 + t^3.785 + t^3.958 + 2*t^4.108 + t^4.431 + 3*t^4.731 + t^4.754 + 2*t^5.204 + t^5.354 + 3*t^5.677 + 3*t^5.827 + t^5.977 - 3*t^6. - t^4.419/y - t^4.419*y | detail |