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 |
---|---|---|---|---|---|---|---|---|---|
3664 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6043 | 0.7774 | 0.7773 | [M:[0.954, 1.138, 0.954, 0.862, 1.138, 0.7989], q:[0.7385, 0.3075], qb:[0.3995, 0.4626], phi:[0.523]] | [M:[[4], [-12], [4], [12], [-12], [-26]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.121 + t^2.31 + t^2.397 + 2*t^2.862 + 3*t^3.414 + t^3.69 + t^3.879 + t^3.966 + t^4.155 + t^4.242 + t^4.344 + t^4.431 + t^4.518 + t^4.62 + t^4.707 + t^4.794 + 2*t^4.983 + 2*t^5.172 + 2*t^5.259 + 2*t^5.535 + 4*t^5.724 + 3*t^5.811 - 2*t^6. + 2*t^6.087 + 5*t^6.276 + 2*t^6.363 + 2*t^6.552 + t^6.638 + t^6.655 + 2*t^6.741 + 6*t^6.828 + t^6.914 + t^6.931 + 4*t^7.104 + t^7.19 + t^7.206 + t^7.293 + 4*t^7.38 + t^7.482 + t^7.569 + 5*t^7.656 + t^7.758 + 2*t^7.845 + 3*t^7.932 + 3*t^8.034 + 2*t^8.121 + 4*t^8.207 + t^8.224 - 2*t^8.31 + 3*t^8.483 + t^8.499 + 3*t^8.586 + 4*t^8.673 + t^8.689 + 2*t^8.759 - 6*t^8.862 + 5*t^8.949 + t^8.965 - t^4.569/y - t^6.966/y + t^7.155/y + t^7.518/y + (2*t^7.707)/y + t^7.983/y + (3*t^8.172)/y + (2*t^8.259)/y + (3*t^8.535)/y + (4*t^8.724)/y + (4*t^8.811)/y - t^4.569*y - t^6.966*y + t^7.155*y + t^7.518*y + 2*t^7.707*y + t^7.983*y + 3*t^8.172*y + 2*t^8.259*y + 3*t^8.535*y + 4*t^8.724*y + 4*t^8.811*y | t^2.121/g1^18 + g1^20*t^2.31 + t^2.397/g1^26 + 2*g1^4*t^2.862 + (3*t^3.414)/g1^12 + t^3.69/g1^20 + g1^18*t^3.879 + t^3.966/g1^28 + g1^10*t^4.155 + t^4.242/g1^36 + g1^48*t^4.344 + g1^2*t^4.431 + t^4.518/g1^44 + g1^40*t^4.62 + t^4.707/g1^6 + t^4.794/g1^52 + (2*t^4.983)/g1^14 + 2*g1^24*t^5.172 + (2*t^5.259)/g1^22 + (2*t^5.535)/g1^30 + 4*g1^8*t^5.724 + (3*t^5.811)/g1^38 - 2*t^6. + (2*t^6.087)/g1^46 + (5*t^6.276)/g1^8 + (2*t^6.363)/g1^54 + (2*t^6.552)/g1^16 + t^6.638/g1^62 + g1^68*t^6.655 + 2*g1^22*t^6.741 + (6*t^6.828)/g1^24 + t^6.914/g1^70 + g1^60*t^6.931 + (4*t^7.104)/g1^32 + t^7.19/g1^78 + g1^52*t^7.206 + g1^6*t^7.293 + (4*t^7.38)/g1^40 + g1^44*t^7.482 + t^7.569/g1^2 + (5*t^7.656)/g1^48 + g1^36*t^7.758 + (2*t^7.845)/g1^10 + (3*t^7.932)/g1^56 + 3*g1^28*t^8.034 + (2*t^8.121)/g1^18 + (4*t^8.207)/g1^64 + g1^66*t^8.224 - 2*g1^20*t^8.31 + (3*t^8.483)/g1^72 + g1^58*t^8.499 + 3*g1^12*t^8.586 + (4*t^8.673)/g1^34 + g1^96*t^8.689 + (2*t^8.759)/g1^80 - 6*g1^4*t^8.862 + (5*t^8.949)/g1^42 + g1^88*t^8.965 - t^4.569/(g1^2*y) - t^6.966/(g1^28*y) + (g1^10*t^7.155)/y + t^7.518/(g1^44*y) + (2*t^7.707)/(g1^6*y) + t^7.983/(g1^14*y) + (3*g1^24*t^8.172)/y + (2*t^8.259)/(g1^22*y) + (3*t^8.535)/(g1^30*y) + (4*g1^8*t^8.724)/y + (4*t^8.811)/(g1^38*y) - (t^4.569*y)/g1^2 - (t^6.966*y)/g1^28 + g1^10*t^7.155*y + (t^7.518*y)/g1^44 + (2*t^7.707*y)/g1^6 + (t^7.983*y)/g1^14 + 3*g1^24*t^8.172*y + (2*t^8.259*y)/g1^22 + (3*t^8.535*y)/g1^30 + 4*g1^8*t^8.724*y + (4*t^8.811*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
3934 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6251 | 0.8183 | 0.7638 | [M:[0.9537, 1.1389, 0.9537, 0.8611, 1.1389, 0.801, 0.6758], q:[0.7384, 0.3079], qb:[0.4005, 0.4605], phi:[0.5232]] | t^2.027 + t^2.125 + t^2.305 + t^2.403 + 2*t^2.861 + 3*t^3.417 + t^3.695 + t^3.875 + t^4.055 + 2*t^4.153 + t^4.25 + 2*t^4.333 + 2*t^4.431 + t^4.528 + t^4.611 + t^4.708 + t^4.806 + 2*t^4.888 + 2*t^4.986 + 2*t^5.166 + 2*t^5.264 + 3*t^5.444 + 2*t^5.542 + 5*t^5.722 + 3*t^5.82 + t^5.902 - 2*t^6. - t^4.569/y - t^4.569*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 |
---|---|---|---|---|---|---|---|---|---|
3243 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ | 0.5885 | 0.7494 | 0.7852 | [M:[0.95, 1.1501, 0.95, 0.8499, 1.1501], q:[0.7375, 0.3125], qb:[0.4126, 0.4373], phi:[0.525]] | t^2.175 + t^2.25 + 2*t^2.85 + 3*t^3.45 + t^3.524 + t^3.75 + t^3.825 + t^4.051 + t^4.125 + t^4.199 + t^4.351 + t^4.425 + t^4.499 + 2*t^5.025 + 2*t^5.099 + 2*t^5.626 + 5*t^5.7 + t^5.774 - 2*t^6. - t^4.575/y - t^4.575*y | detail |