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 |
|---|---|---|---|---|---|---|---|---|---|
| 1497 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.7209 | 0.8929 | 0.8074 | [M:[0.8043, 1.0652, 0.8464, 1.0231, 0.9769, 0.8926, 0.9769], q:[0.6631, 0.5326], qb:[0.4905, 0.4443], phi:[0.4674]] | [M:[[6, 6], [-2, -2], [3, 5], [1, -1], [-1, 1], [5, 3], [-1, 1]], q:[[-5, -5], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$ | ${}$ | -3 | t^2.413 + t^2.539 + t^2.678 + t^2.804 + 2*t^2.931 + t^3.196 + t^4.068 + t^4.206 + t^4.333 + t^4.345 + t^4.472 + t^4.598 + t^4.724 + t^4.826 + t^4.863 + t^4.952 + t^4.989 + t^5.078 + t^5.091 + 2*t^5.217 + 2*t^5.343 + t^5.356 + t^5.381 + 2*t^5.47 + 3*t^5.609 + 2*t^5.735 + 2*t^5.861 - 3*t^6. + t^6.126 - t^6.139 - t^6.265 - t^6.391 + t^6.481 - t^6.518 + t^6.607 + t^6.619 - t^6.657 + 2*t^6.746 + t^6.758 + 2*t^6.872 + 2*t^6.884 + 2*t^6.998 + 3*t^7.011 + t^7.023 + 3*t^7.137 + 2*t^7.149 + t^7.239 + 2*t^7.263 + 3*t^7.276 + t^7.365 + 2*t^7.402 + t^7.491 + t^7.504 + 2*t^7.528 + t^7.618 + 2*t^7.63 + t^7.655 + 3*t^7.756 + t^7.769 + 2*t^7.883 + t^7.895 + t^7.92 - t^7.932 + 2*t^8.009 + 3*t^8.021 + t^8.034 - t^8.059 + t^8.135 + 3*t^8.148 + 3*t^8.274 + t^8.286 + t^8.311 + 3*t^8.4 - t^8.413 - t^8.45 + 2*t^8.666 - 5*t^8.678 + t^8.69 + 3*t^8.792 - 4*t^8.804 + t^8.893 - 6*t^8.931 - t^8.943 - t^4.402/y - t^6.815/y - t^6.941/y - t^7.08/y - t^7.333/y + t^7.472/y + t^7.724/y + t^7.863/y + t^7.952/y + t^7.989/y + t^8.091/y + (2*t^8.217)/y + (3*t^8.343)/y + (2*t^8.47)/y + t^8.482/y + (3*t^8.609)/y + (3*t^8.735)/y + t^8.861/y + t^8.874/y - t^4.402*y - t^6.815*y - t^6.941*y - t^7.08*y - t^7.333*y + t^7.472*y + t^7.724*y + t^7.863*y + t^7.952*y + t^7.989*y + t^8.091*y + 2*t^8.217*y + 3*t^8.343*y + 2*t^8.47*y + t^8.482*y + 3*t^8.609*y + 3*t^8.735*y + t^8.861*y + t^8.874*y | g1^6*g2^6*t^2.413 + g1^3*g2^5*t^2.539 + g1^5*g2^3*t^2.678 + g1^2*g2^2*t^2.804 + (2*g2*t^2.931)/g1 + t^3.196/(g1^2*g2^2) + g1*g2^5*t^4.068 + g1^3*g2^3*t^4.206 + g2^2*t^4.333 + g1^5*g2*t^4.345 + g1^2*t^4.472 + t^4.598/(g1*g2) + t^4.724/(g1^4*g2^2) + g1^12*g2^12*t^4.826 + t^4.863/(g1^2*g2^4) + g1^9*g2^11*t^4.952 + t^4.989/(g1^5*g2^5) + g1^6*g2^10*t^5.078 + g1^11*g2^9*t^5.091 + 2*g1^8*g2^8*t^5.217 + 2*g1^5*g2^7*t^5.343 + g1^10*g2^6*t^5.356 + t^5.381/(g1^9*g2^9) + 2*g1^2*g2^6*t^5.47 + 3*g1^4*g2^4*t^5.609 + 2*g1*g2^3*t^5.735 + (2*g2^2*t^5.861)/g1^2 - 3*t^6. + t^6.126/(g1^3*g2) - (g1^2*t^6.139)/g2^2 - t^6.265/(g1*g2^3) - t^6.391/(g1^4*g2^4) + g1^7*g2^11*t^6.481 - t^6.518/(g1^7*g2^5) + g1^4*g2^10*t^6.607 + g1^9*g2^9*t^6.619 - t^6.657/(g1^5*g2^7) + 2*g1^6*g2^8*t^6.746 + g1^11*g2^7*t^6.758 + 2*g1^3*g2^7*t^6.872 + 2*g1^8*g2^6*t^6.884 + 2*g2^6*t^6.998 + 3*g1^5*g2^5*t^7.011 + g1^10*g2^4*t^7.023 + 3*g1^2*g2^4*t^7.137 + 2*g1^7*g2^3*t^7.149 + g1^18*g2^18*t^7.239 + (2*g2^3*t^7.263)/g1 + 3*g1^4*g2^2*t^7.276 + g1^15*g2^17*t^7.365 + 2*g1*g2*t^7.402 + g1^12*g2^16*t^7.491 + g1^17*g2^15*t^7.504 + (2*t^7.528)/g1^2 + g1^9*g2^15*t^7.618 + 2*g1^14*g2^14*t^7.63 + t^7.655/(g1^5*g2) + 3*g1^11*g2^13*t^7.756 + g1^16*g2^12*t^7.769 + 2*g1^8*g2^12*t^7.883 + g1^13*g2^11*t^7.895 + t^7.92/(g1^6*g2^4) - t^7.932/(g1*g2^5) + 2*g1^5*g2^11*t^8.009 + 3*g1^10*g2^10*t^8.021 + g1^15*g2^9*t^8.034 - t^8.059/(g1^4*g2^6) + g1^2*g2^10*t^8.135 + 3*g1^7*g2^9*t^8.148 + 3*g1^4*g2^8*t^8.274 + g1^9*g2^7*t^8.286 + t^8.311/(g1^10*g2^8) + 3*g1*g2^7*t^8.4 - g1^6*g2^6*t^8.413 - t^8.45/(g1^8*g2^10) + 2*g2^4*t^8.666 - 5*g1^5*g2^3*t^8.678 + g1^10*g2^2*t^8.69 + (3*g2^3*t^8.792)/g1^3 - 4*g1^2*g2^2*t^8.804 + g1^13*g2^17*t^8.893 - (6*g2*t^8.931)/g1 - g1^4*t^8.943 - (g1*g2*t^4.402)/y - (g1^7*g2^7*t^6.815)/y - (g1^4*g2^6*t^6.941)/y - (g1^6*g2^4*t^7.08)/y - (g2^2*t^7.333)/y + (g1^2*t^7.472)/y + t^7.724/(g1^4*g2^2*y) + t^7.863/(g1^2*g2^4*y) + (g1^9*g2^11*t^7.952)/y + t^7.989/(g1^5*g2^5*y) + (g1^11*g2^9*t^8.091)/y + (2*g1^8*g2^8*t^8.217)/y + (3*g1^5*g2^7*t^8.343)/y + (2*g1^2*g2^6*t^8.47)/y + (g1^7*g2^5*t^8.482)/y + (3*g1^4*g2^4*t^8.609)/y + (3*g1*g2^3*t^8.735)/y + (g2^2*t^8.861)/(g1^2*y) + (g1^3*g2*t^8.874)/y - g1*g2*t^4.402*y - g1^7*g2^7*t^6.815*y - g1^4*g2^6*t^6.941*y - g1^6*g2^4*t^7.08*y - g2^2*t^7.333*y + g1^2*t^7.472*y + (t^7.724*y)/(g1^4*g2^2) + (t^7.863*y)/(g1^2*g2^4) + g1^9*g2^11*t^7.952*y + (t^7.989*y)/(g1^5*g2^5) + g1^11*g2^9*t^8.091*y + 2*g1^8*g2^8*t^8.217*y + 3*g1^5*g2^7*t^8.343*y + 2*g1^2*g2^6*t^8.47*y + g1^7*g2^5*t^8.482*y + 3*g1^4*g2^4*t^8.609*y + 3*g1*g2^3*t^8.735*y + (g2^2*t^8.861*y)/g1^2 + g1^3*g2*t^8.874*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 962 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7198 | 0.8904 | 0.8084 | [M:[0.8037, 1.0654, 0.8691, 1.0, 1.0, 0.8691], q:[0.6636, 0.5327], qb:[0.4673, 0.4673], phi:[0.4673]] | t^2.411 + 2*t^2.607 + t^2.804 + 2*t^3. + t^3.196 + 3*t^4.206 + 2*t^4.402 + t^4.598 + 2*t^4.794 + t^4.822 + t^4.991 + 2*t^5.018 + 4*t^5.215 + t^5.383 + 2*t^5.411 + 5*t^5.607 + 2*t^5.804 - 2*t^6. - t^4.402/y - t^4.402*y | detail |