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 |
|---|---|---|---|---|---|---|---|---|---|
| 352 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.6804 | 0.8399 | 0.81 | [M:[0.6836, 1.1055, 0.8945], q:[0.7764, 0.5401], qb:[0.4599, 0.4346], phi:[0.4473]] | [M:[[-12], [4], [-4]], q:[[1], [11]], qb:[[-11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{1}\phi_{1}\tilde{q}_{2}^{2}$ | -1 | t^2.051 + 2*t^2.684 + t^2.924 + t^3. + t^3.633 + t^3.709 + t^3.949 + t^4.025 + 2*t^4.101 + t^4.266 + t^4.342 + t^4.582 + 2*t^4.734 + t^4.975 + t^5.051 + 3*t^5.367 + 2*t^5.608 + 2*t^5.684 + t^5.848 - t^6. + 2*t^6.152 - t^6.24 + t^6.316 + 2*t^6.392 + t^6.557 + 3*t^6.633 + 2*t^6.709 + 4*t^6.785 + t^6.873 + 2*t^6.949 + 2*t^7.025 + t^7.101 + t^7.19 + 2*t^7.266 - t^7.342 + 2*t^7.418 + t^7.506 + t^7.658 + 3*t^7.734 + t^7.81 + t^7.899 + t^7.975 + 4*t^8.051 + t^8.127 + 3*t^8.203 + t^8.215 + 2*t^8.291 + 2*t^8.367 + t^8.443 + 3*t^8.532 - 2*t^8.684 + t^8.772 + 4*t^8.836 + t^8.848 - 3*t^8.924 - t^4.342/y - t^6.392/y - t^7.025/y + t^7.658/y + (2*t^7.734)/y + t^7.975/y + t^8.051/y + t^8.291/y + t^8.367/y - t^8.443/y + (2*t^8.608)/y + (3*t^8.684)/y + t^8.76/y + t^8.924/y - t^4.342*y - t^6.392*y - t^7.025*y + t^7.658*y + 2*t^7.734*y + t^7.975*y + t^8.051*y + t^8.291*y + t^8.367*y - t^8.443*y + 2*t^8.608*y + 3*t^8.684*y + t^8.76*y + t^8.924*y | t^2.051/g1^12 + (2*t^2.684)/g1^4 + g1^18*t^2.924 + t^3. + g1^8*t^3.633 + t^3.709/g1^10 + g1^12*t^3.949 + t^4.025/g1^6 + (2*t^4.101)/g1^24 + g1^16*t^4.266 + t^4.342/g1^2 + g1^20*t^4.582 + (2*t^4.734)/g1^16 + g1^6*t^4.975 + t^5.051/g1^12 + (3*t^5.367)/g1^8 + 2*g1^14*t^5.608 + (2*t^5.684)/g1^4 + g1^36*t^5.848 - t^6. + (2*t^6.152)/g1^36 - g1^22*t^6.24 + g1^4*t^6.316 + (2*t^6.392)/g1^14 + g1^26*t^6.557 + 3*g1^8*t^6.633 + (2*t^6.709)/g1^10 + (4*t^6.785)/g1^28 + g1^30*t^6.873 + 2*g1^12*t^6.949 + (2*t^7.025)/g1^6 + t^7.101/g1^24 + g1^34*t^7.19 + 2*g1^16*t^7.266 - t^7.342/g1^2 + (2*t^7.418)/g1^20 + g1^38*t^7.506 + g1^2*t^7.658 + (3*t^7.734)/g1^16 + t^7.81/g1^34 + g1^24*t^7.899 + g1^6*t^7.975 + (4*t^8.051)/g1^12 + t^8.127/g1^30 + (3*t^8.203)/g1^48 + g1^28*t^8.215 + 2*g1^10*t^8.291 + (2*t^8.367)/g1^8 + t^8.443/g1^26 + 3*g1^32*t^8.532 - (2*t^8.684)/g1^4 + g1^54*t^8.772 + (4*t^8.836)/g1^40 + g1^36*t^8.848 - 3*g1^18*t^8.924 - t^4.342/(g1^2*y) - t^6.392/(g1^14*y) - t^7.025/(g1^6*y) + (g1^2*t^7.658)/y + (2*t^7.734)/(g1^16*y) + (g1^6*t^7.975)/y + t^8.051/(g1^12*y) + (g1^10*t^8.291)/y + t^8.367/(g1^8*y) - t^8.443/(g1^26*y) + (2*g1^14*t^8.608)/y + (3*t^8.684)/(g1^4*y) + t^8.76/(g1^22*y) + (g1^18*t^8.924)/y - (t^4.342*y)/g1^2 - (t^6.392*y)/g1^14 - (t^7.025*y)/g1^6 + g1^2*t^7.658*y + (2*t^7.734*y)/g1^16 + g1^6*t^7.975*y + (t^8.051*y)/g1^12 + g1^10*t^8.291*y + (t^8.367*y)/g1^8 - (t^8.443*y)/g1^26 + 2*g1^14*t^8.608*y + (3*t^8.684*y)/g1^4 + (t^8.76*y)/g1^22 + g1^18*t^8.924*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 |
|---|---|---|---|---|---|---|---|---|
| 560 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7011 | 0.8806 | 0.7962 | [M:[0.6816, 1.1061, 0.8939, 0.6816], q:[0.7765, 0.5419], qb:[0.4581, 0.4358], phi:[0.4469]] | 2*t^2.045 + 2*t^2.682 + t^2.933 + t^3. + t^3.637 + t^3.704 + t^4.022 + 4*t^4.089 + t^4.274 + t^4.341 + t^4.592 + 4*t^4.726 + 2*t^4.978 + 2*t^5.045 + 3*t^5.363 + 2*t^5.615 + 3*t^5.682 + t^5.749 + t^5.866 - 2*t^6. - t^4.341/y - t^4.341*y | detail | |
| 1796 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6977 | 0.8709 | 0.8011 | [M:[0.6748, 1.1084, 0.8916, 0.7832], q:[0.7771, 0.5481], qb:[0.4519, 0.4397], phi:[0.4458]] | t^2.024 + t^2.35 + 2*t^2.675 + t^2.963 + t^3. + t^3.687 + t^3.976 + t^4.012 + 2*t^4.049 + t^4.301 + t^4.337 + t^4.374 + t^4.626 + 3*t^4.699 + t^4.988 + 3*t^5.024 + t^5.313 + 4*t^5.35 + 2*t^5.638 + t^5.675 + t^5.927 - t^6. - t^4.337/y - t^4.337*y | detail | |
| 558 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}X_{1}$ | 0.659 | 0.7978 | 0.8259 | [X:[1.3333], M:[0.6667, 1.1111, 0.8889], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | 2*t^2.667 + 2*t^3. + 2*t^3.667 + 4*t^4. + 2*t^4.333 + t^4.667 + 3*t^5.333 + 2*t^5.667 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 427/648, c: 517/648, X1: 4/3, M1: 2/3, M2: 10/9, M3: 8/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 220 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.6709 | 0.8239 | 0.8143 | [M:[0.6905, 1.1032], q:[0.7758, 0.5338], qb:[0.4662, 0.4306], phi:[0.4484]] | t^2.071 + t^2.69 + t^2.893 + t^3. + t^3.31 + t^3.619 + t^3.726 + t^3.929 + t^4.036 + 2*t^4.143 + t^4.238 + t^4.345 + t^4.548 + t^4.762 + t^4.964 + t^5.071 + 2*t^5.381 + t^5.583 + t^5.69 + t^5.786 - t^4.345/y - t^4.345*y | detail |