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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[-12], [4]], q:[[1], [11]], qb:[[-11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{1}\phi_{1}\tilde{q}_{2}^{2}$ | 0 | 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 + 2*t^6.214 + t^6.31 + t^6.417 + t^6.512 + 3*t^6.619 + t^6.726 + t^6.822 + 2*t^6.833 + 2*t^6.929 + 2*t^7.036 + t^7.131 + t^7.143 + 2*t^7.238 + t^7.441 + 2*t^7.452 + t^7.548 + t^7.655 + 2*t^7.762 + 2*t^7.857 + t^7.869 + t^7.964 + 2*t^8.071 + t^8.167 + t^8.178 + t^8.274 + 3*t^8.285 + t^8.381 + 2*t^8.476 + t^8.488 + t^8.679 + t^8.69 + t^8.786 - t^8.893 + 2*t^8.905 - t^4.345/y - t^6.417/y + t^7.762/y + t^7.964/y + t^8.071/y + t^8.274/y + t^8.381/y - t^8.488/y + t^8.583/y + (2*t^8.69)/y + t^8.797/y + t^8.893/y - t^4.345*y - t^6.417*y + t^7.762*y + t^7.964*y + t^8.071*y + t^8.274*y + t^8.381*y - t^8.488*y + t^8.583*y + 2*t^8.69*y + t^8.797*y + t^8.893*y | t^2.071/g1^12 + t^2.69/g1^4 + g1^18*t^2.893 + t^3. + g1^4*t^3.31 + g1^8*t^3.619 + t^3.726/g1^10 + g1^12*t^3.929 + t^4.036/g1^6 + (2*t^4.143)/g1^24 + g1^16*t^4.238 + t^4.345/g1^2 + g1^20*t^4.548 + t^4.762/g1^16 + g1^6*t^4.964 + t^5.071/g1^12 + (2*t^5.381)/g1^8 + g1^14*t^5.583 + t^5.69/g1^4 + g1^36*t^5.786 + (2*t^6.214)/g1^36 + g1^4*t^6.31 + t^6.417/g1^14 + g1^26*t^6.512 + 3*g1^8*t^6.619 + t^6.726/g1^10 + g1^30*t^6.822 + (2*t^6.833)/g1^28 + 2*g1^12*t^6.929 + (2*t^7.036)/g1^6 + g1^34*t^7.131 + t^7.143/g1^24 + 2*g1^16*t^7.238 + g1^38*t^7.441 + (2*t^7.452)/g1^20 + g1^20*t^7.548 + g1^2*t^7.655 + (2*t^7.762)/g1^16 + 2*g1^24*t^7.857 + t^7.869/g1^34 + g1^6*t^7.964 + (2*t^8.071)/g1^12 + g1^28*t^8.167 + t^8.178/g1^30 + g1^10*t^8.274 + (3*t^8.285)/g1^48 + t^8.381/g1^8 + 2*g1^32*t^8.476 + t^8.488/g1^26 + g1^54*t^8.679 + t^8.69/g1^4 + g1^36*t^8.786 - g1^18*t^8.893 + (2*t^8.905)/g1^40 - t^4.345/(g1^2*y) - t^6.417/(g1^14*y) + t^7.762/(g1^16*y) + (g1^6*t^7.964)/y + t^8.071/(g1^12*y) + (g1^10*t^8.274)/y + t^8.381/(g1^8*y) - t^8.488/(g1^26*y) + (g1^14*t^8.583)/y + (2*t^8.69)/(g1^4*y) + t^8.797/(g1^22*y) + (g1^18*t^8.893)/y - (t^4.345*y)/g1^2 - (t^6.417*y)/g1^14 + (t^7.762*y)/g1^16 + g1^6*t^7.964*y + (t^8.071*y)/g1^12 + g1^10*t^8.274*y + (t^8.381*y)/g1^8 - (t^8.488*y)/g1^26 + g1^14*t^8.583*y + (2*t^8.69*y)/g1^4 + (t^8.797*y)/g1^22 + g1^18*t^8.893*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 |
|---|---|---|---|---|---|---|---|---|
| 352 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ | 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]] | 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. - t^4.342/y - t^4.342*y | detail | |
| 353 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6916 | 0.8641 | 0.8004 | [M:[0.6876, 1.1041, 0.6876], q:[0.776, 0.5363], qb:[0.4637, 0.4322], phi:[0.4479]] | 2*t^2.063 + t^2.688 + t^2.906 + t^3. + t^3.312 + t^3.625 + t^3.719 + t^4.031 + 4*t^4.126 + t^4.249 + t^4.344 + t^4.562 + 2*t^4.751 + 2*t^4.969 + 2*t^5.063 + 3*t^5.375 + t^5.593 + 2*t^5.688 + t^5.782 + t^5.811 - t^6. - t^4.344/y - t^4.344*y | detail | |
| 350 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6616 | 0.8084 | 0.8184 | [M:[0.6974, 1.1009, 1.1009], q:[0.7752, 0.5274], qb:[0.4726, 0.4265], phi:[0.4496]] | t^2.092 + t^2.862 + t^3. + 2*t^3.303 + t^3.605 + t^3.744 + t^3.908 + t^4.046 + 2*t^4.185 + t^4.21 + t^4.349 + t^4.513 + t^4.954 + t^5.092 + 2*t^5.395 + t^5.723 - t^6. - t^4.349/y - t^4.349*y | detail | |
| 1738 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.688 | 0.8542 | 0.8054 | [M:[0.6814, 1.1062, 0.7876], q:[0.7766, 0.5421], qb:[0.4579, 0.4359], phi:[0.4469]] | t^2.044 + t^2.363 + t^2.681 + t^2.934 + t^3. + t^3.319 + t^3.703 + t^3.956 + t^4.022 + 2*t^4.088 + t^4.275 + t^4.341 + t^4.407 + t^4.593 + 2*t^4.725 + t^4.978 + 2*t^5.044 + t^5.297 + 3*t^5.363 + t^5.615 + t^5.681 + t^5.868 - t^4.341/y - t^4.341*y | detail | |
| 377 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}X_{1}$ | 0.6489 | 0.7809 | 0.831 | [X:[1.3333], M:[0.6667, 1.1111], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | t^2.667 + 2*t^3. + t^3.333 + 2*t^3.667 + 4*t^4. + 2*t^4.333 + t^4.667 + t^5.333 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 841/1296, c: 253/324, X1: 4/3, M1: 2/3, M2: 10/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 132 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6721 | 0.8254 | 0.8143 | [M:[0.715, 1.095], q:[0.7738, 0.5113], qb:[0.4525, 0.4525], phi:[0.4525]] | t^2.145 + t^2.715 + 2*t^2.891 + t^3.285 + 2*t^3.679 + 3*t^4.072 + 2*t^4.249 + t^4.29 + t^4.425 + t^4.86 + 2*t^5.036 + 2*t^5.43 + 2*t^5.606 + 3*t^5.783 - 4*t^6. - t^4.357/y - t^4.357*y | detail |