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 |
|---|---|---|---|---|---|---|---|---|---|
| 4015 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6916 | 0.8724 | 0.7927 | [M:[1.1702, 1.1064, 0.9573, 1.0, 0.8298, 0.8298, 0.7661, 0.6807], q:[0.7766, 0.4363], qb:[0.3936, 0.6064], phi:[0.4468]] | [M:[[-3], [4], [-11], [0], [3], [3], [10], [-12]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{8}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{1}q_{2}$ | ${}$ | -2 | t^2.042 + t^2.298 + 2*t^2.49 + t^2.872 + t^3. + t^3.319 + t^3.639 + t^3.83 + t^4.084 + t^4.149 + 2*t^4.34 + t^4.469 + 2*t^4.531 + t^4.597 + 2*t^4.788 + t^4.914 + 4*t^4.979 + t^5.042 + t^5.17 + t^5.298 + 2*t^5.361 + t^5.49 + t^5.618 + t^5.681 + t^5.744 + 2*t^5.809 + t^5.872 + t^5.937 - 2*t^6. + t^6.126 + 2*t^6.128 + t^6.191 + 2*t^6.319 + 2*t^6.382 + t^6.448 + 2*t^6.573 + 4*t^6.639 + t^6.767 + 2*t^6.83 + t^6.895 + t^6.956 + 2*t^6.958 + 3*t^7.021 + t^7.084 + 2*t^7.086 + t^7.212 + 4*t^7.277 + 2*t^7.403 + 7*t^7.469 + t^7.531 + t^7.597 + 2*t^7.66 + t^7.723 + t^7.786 + 2*t^7.788 + 2*t^7.851 + t^7.914 + t^7.916 + 2*t^7.979 - t^8.042 + 2*t^8.107 + t^8.168 + t^8.17 + 2*t^8.233 + t^8.235 + t^8.298 + t^8.361 + 2*t^8.424 + 2*t^8.427 - 4*t^8.49 + 3*t^8.615 + 4*t^8.618 + 3*t^8.681 + t^8.746 + 2*t^8.809 + 4*t^8.937 + t^8.998 - t^4.34/y - t^6.382/y - t^6.639/y - t^6.83/y - t^7.212/y + t^7.34/y + t^7.469/y + (2*t^7.531)/y + (2*t^7.788)/y + t^7.851/y + t^7.914/y + t^7.979/y + (2*t^8.042)/y + t^8.17/y + (2*t^8.298)/y + (3*t^8.361)/y - t^8.424/y + (2*t^8.49)/y + t^8.618/y + (2*t^8.809)/y + t^8.872/y - t^4.34*y - t^6.382*y - t^6.639*y - t^6.83*y - t^7.212*y + t^7.34*y + t^7.469*y + 2*t^7.531*y + 2*t^7.788*y + t^7.851*y + t^7.914*y + t^7.979*y + 2*t^8.042*y + t^8.17*y + 2*t^8.298*y + 3*t^8.361*y - t^8.424*y + 2*t^8.49*y + t^8.618*y + 2*t^8.809*y + t^8.872*y | t^2.042/g1^12 + g1^10*t^2.298 + 2*g1^3*t^2.49 + t^2.872/g1^11 + t^3. + g1^4*t^3.319 + g1^8*t^3.639 + g1*t^3.83 + t^4.084/g1^24 + g1^5*t^4.149 + (2*t^4.34)/g1^2 + g1^9*t^4.469 + (2*t^4.531)/g1^9 + g1^20*t^4.597 + 2*g1^13*t^4.788 + t^4.914/g1^23 + 4*g1^6*t^4.979 + t^5.042/g1^12 + t^5.17/g1 + g1^10*t^5.298 + (2*t^5.361)/g1^8 + g1^3*t^5.49 + g1^14*t^5.618 + t^5.681/g1^4 + t^5.744/g1^22 + 2*g1^7*t^5.809 + t^5.872/g1^11 + g1^18*t^5.937 - 2*t^6. + t^6.126/g1^36 + 2*g1^11*t^6.128 + t^6.191/g1^7 + 2*g1^4*t^6.319 + (2*t^6.382)/g1^14 + g1^15*t^6.448 + (2*t^6.573)/g1^21 + 4*g1^8*t^6.639 + g1^19*t^6.767 + 2*g1*t^6.83 + g1^30*t^6.895 + t^6.956/g1^35 + 2*g1^12*t^6.958 + (3*t^7.021)/g1^6 + t^7.084/g1^24 + 2*g1^23*t^7.086 + t^7.212/g1^13 + 4*g1^16*t^7.277 + (2*t^7.403)/g1^20 + 7*g1^9*t^7.469 + t^7.531/g1^9 + g1^20*t^7.597 + 2*g1^2*t^7.66 + t^7.723/g1^16 + t^7.786/g1^34 + 2*g1^13*t^7.788 + (2*t^7.851)/g1^5 + t^7.914/g1^23 + g1^24*t^7.916 + 2*g1^6*t^7.979 - t^8.042/g1^12 + 2*g1^17*t^8.107 + t^8.168/g1^48 + t^8.17/g1 + (2*t^8.233)/g1^19 + g1^28*t^8.235 + g1^10*t^8.298 + t^8.361/g1^8 + (2*t^8.424)/g1^26 + 2*g1^21*t^8.427 - 4*g1^3*t^8.49 + (3*t^8.615)/g1^33 + 4*g1^14*t^8.618 + (3*t^8.681)/g1^4 + g1^25*t^8.746 + 2*g1^7*t^8.809 + 4*g1^18*t^8.937 + t^8.998/g1^47 - t^4.34/(g1^2*y) - t^6.382/(g1^14*y) - (g1^8*t^6.639)/y - (g1*t^6.83)/y - t^7.212/(g1^13*y) + t^7.34/(g1^2*y) + (g1^9*t^7.469)/y + (2*t^7.531)/(g1^9*y) + (2*g1^13*t^7.788)/y + t^7.851/(g1^5*y) + t^7.914/(g1^23*y) + (g1^6*t^7.979)/y + (2*t^8.042)/(g1^12*y) + t^8.17/(g1*y) + (2*g1^10*t^8.298)/y + (3*t^8.361)/(g1^8*y) - t^8.424/(g1^26*y) + (2*g1^3*t^8.49)/y + (g1^14*t^8.618)/y + (2*g1^7*t^8.809)/y + t^8.872/(g1^11*y) - (t^4.34*y)/g1^2 - (t^6.382*y)/g1^14 - g1^8*t^6.639*y - g1*t^6.83*y - (t^7.212*y)/g1^13 + (t^7.34*y)/g1^2 + g1^9*t^7.469*y + (2*t^7.531*y)/g1^9 + 2*g1^13*t^7.788*y + (t^7.851*y)/g1^5 + (t^7.914*y)/g1^23 + g1^6*t^7.979*y + (2*t^8.042*y)/g1^12 + (t^8.17*y)/g1 + 2*g1^10*t^8.298*y + (3*t^8.361*y)/g1^8 - (t^8.424*y)/g1^26 + 2*g1^3*t^8.49*y + g1^14*t^8.618*y + 2*g1^7*t^8.809*y + (t^8.872*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5560 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{9}$ | 0.6894 | 0.8711 | 0.7915 | [M:[1.1812, 1.0918, 0.9977, 1.0, 0.8188, 0.8188, 0.7294, 0.7247, 1.0023], q:[0.7729, 0.4106], qb:[0.4082, 0.5918], phi:[0.4541]] | t^2.174 + t^2.188 + 2*t^2.456 + t^3. + t^3.007 + t^3.275 + t^3.551 + t^3.819 + t^4.094 + t^4.348 + 2*t^4.362 + t^4.369 + t^4.376 + 2*t^4.631 + 2*t^4.645 + 4*t^4.913 + t^5.174 + t^5.181 + t^5.188 + t^5.195 + t^5.456 + 3*t^5.463 + t^5.725 + 2*t^5.732 + t^5.739 - 2*t^6. - t^4.362/y - t^4.362*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1622 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6708 | 0.8321 | 0.8061 | [M:[1.1715, 1.1047, 0.9622, 1.0, 0.8285, 0.8285, 0.7617], q:[0.7762, 0.4332], qb:[0.3953, 0.6047], phi:[0.4477]] | t^2.285 + 2*t^2.485 + t^2.887 + t^3. + t^3.314 + t^3.628 + t^3.828 + t^3.942 + t^4.142 + t^4.343 + t^4.456 + t^4.57 + 2*t^4.77 + 4*t^4.971 + t^5.172 + t^5.285 + t^5.372 + t^5.485 + t^5.599 + t^5.773 + 2*t^5.799 + t^5.913 - 2*t^6. - t^4.343/y - t^4.343*y | detail |