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 |
|---|---|---|---|---|---|---|---|---|---|
| 2617 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6745 | 0.8479 | 0.7955 | [M:[1.077, 0.8102, 1.0564, 0.8308, 1.1692, 0.6974, 0.9436], q:[0.5179, 0.4051], qb:[0.4257, 0.7641], phi:[0.4718]] | [M:[[-30], [22], [4], [-12], [12], [14], [-4]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.092 + t^2.431 + t^2.492 + 2*t^2.831 + t^3.231 + t^3.508 + 2*t^3.846 + t^3.969 + 2*t^4.184 + t^4.246 + 2*t^4.523 + t^4.585 + t^4.861 + 3*t^4.923 + t^4.985 + 2*t^5.261 + 3*t^5.323 + t^5.6 + 3*t^5.662 + 2*t^5.938 - 2*t^6. + 2*t^6.062 + 3*t^6.277 + 2*t^6.338 + 2*t^6.462 + 3*t^6.615 + 5*t^6.677 + 2*t^6.8 + 2*t^6.954 + 4*t^7.015 + 2*t^7.077 - 2*t^7.139 + t^7.2 + t^7.292 + 5*t^7.354 + t^7.415 + t^7.477 + 4*t^7.692 + 4*t^7.754 + 2*t^7.816 + t^7.939 + 4*t^8.031 + 3*t^8.154 + t^8.216 + 5*t^8.369 - 2*t^8.431 + 2*t^8.492 + t^8.554 + 5*t^8.707 + 4*t^8.769 - 5*t^8.831 + 4*t^8.892 + t^8.954 - t^4.415/y - t^6.508/y - t^6.846/y + t^7.184/y - t^7.246/y + t^7.523/y + (2*t^7.585)/y - t^7.646/y + (3*t^7.923)/y + t^7.985/y + (2*t^8.261)/y + (4*t^8.323)/y + (2*t^8.662)/y + t^8.723/y + (2*t^8.938)/y - t^4.415*y - t^6.508*y - t^6.846*y + t^7.184*y - t^7.246*y + t^7.523*y + 2*t^7.585*y - t^7.646*y + 3*t^7.923*y + t^7.985*y + 2*t^8.261*y + 4*t^8.323*y + 2*t^8.662*y + t^8.723*y + 2*t^8.938*y | g1^14*t^2.092 + g1^22*t^2.431 + t^2.492/g1^12 + (2*t^2.831)/g1^4 + t^3.231/g1^30 + g1^12*t^3.508 + 2*g1^20*t^3.846 + t^3.969/g1^48 + 2*g1^28*t^4.184 + t^4.246/g1^6 + 2*g1^36*t^4.523 + g1^2*t^4.585 + g1^44*t^4.861 + 3*g1^10*t^4.923 + t^4.985/g1^24 + 2*g1^18*t^5.261 + (3*t^5.323)/g1^16 + g1^26*t^5.6 + (3*t^5.662)/g1^8 + 2*g1^34*t^5.938 - 2*t^6. + (2*t^6.062)/g1^34 + 3*g1^42*t^6.277 + 2*g1^8*t^6.338 + (2*t^6.462)/g1^60 + 3*g1^50*t^6.615 + 5*g1^16*t^6.677 + (2*t^6.8)/g1^52 + 2*g1^58*t^6.954 + 4*g1^24*t^7.015 + (2*t^7.077)/g1^10 - (2*t^7.139)/g1^44 + t^7.2/g1^78 + g1^66*t^7.292 + 5*g1^32*t^7.354 + t^7.415/g1^2 + t^7.477/g1^36 + 4*g1^40*t^7.692 + 4*g1^6*t^7.754 + (2*t^7.816)/g1^28 + t^7.939/g1^96 + 4*g1^48*t^8.031 + (3*t^8.154)/g1^20 + t^8.216/g1^54 + 5*g1^56*t^8.369 - 2*g1^22*t^8.431 + (2*t^8.492)/g1^12 + t^8.554/g1^46 + 5*g1^64*t^8.707 + 4*g1^30*t^8.769 - (5*t^8.831)/g1^4 + (4*t^8.892)/g1^38 + t^8.954/g1^72 - t^4.415/(g1^2*y) - (g1^12*t^6.508)/y - (g1^20*t^6.846)/y + (g1^28*t^7.184)/y - t^7.246/(g1^6*y) + (g1^36*t^7.523)/y + (2*g1^2*t^7.585)/y - t^7.646/(g1^32*y) + (3*g1^10*t^7.923)/y + t^7.985/(g1^24*y) + (2*g1^18*t^8.261)/y + (4*t^8.323)/(g1^16*y) + (2*t^8.662)/(g1^8*y) + t^8.723/(g1^42*y) + (2*g1^34*t^8.938)/y - (t^4.415*y)/g1^2 - g1^12*t^6.508*y - g1^20*t^6.846*y + g1^28*t^7.184*y - (t^7.246*y)/g1^6 + g1^36*t^7.523*y + 2*g1^2*t^7.585*y - (t^7.646*y)/g1^32 + 3*g1^10*t^7.923*y + (t^7.985*y)/g1^24 + 2*g1^18*t^8.261*y + (4*t^8.323*y)/g1^16 + (2*t^8.662*y)/g1^8 + (t^8.723*y)/g1^42 + 2*g1^34*t^8.938*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 |
|---|---|---|---|---|---|---|---|---|
| 4724 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6592 | 0.821 | 0.8029 | [M:[1.0546, 0.8266, 1.0594, 0.8218, 1.1782, 0.7078, 0.9406, 1.1734], q:[0.5321, 0.4133], qb:[0.4085, 0.7648], phi:[0.4703]] | t^2.124 + t^2.466 + 2*t^2.822 + t^3.164 + t^3.52 + t^3.534 + t^3.862 + 2*t^3.891 + t^4.233 + 2*t^4.247 + t^4.589 + t^4.603 + t^4.931 + 2*t^4.945 + 3*t^5.287 + 3*t^5.644 + t^5.658 + 3*t^5.986 - 2*t^6. - t^4.411/y - t^4.411*y | detail | |
| 4725 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6892 | 0.8731 | 0.7894 | [M:[1.0648, 0.8192, 1.058, 0.8259, 1.1741, 0.7031, 0.942, 0.8259], q:[0.5256, 0.4096], qb:[0.4163, 0.7645], phi:[0.471]] | t^2.109 + t^2.457 + 2*t^2.478 + 2*t^2.826 + t^3.194 + 2*t^3.87 + t^3.911 + 2*t^4.219 + t^4.239 + 2*t^4.567 + 2*t^4.587 + t^4.915 + 4*t^4.935 + 3*t^4.955 + 2*t^5.283 + 5*t^5.304 + 3*t^5.652 + t^5.672 + t^5.98 - 3*t^6. - t^4.413/y - t^4.413*y | detail | |
| 4726 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6947 | 0.8858 | 0.7843 | [M:[1.0697, 0.8155, 1.0574, 0.8279, 1.1721, 0.7008, 0.9426, 0.7131], q:[0.5225, 0.4078], qb:[0.4201, 0.7643], phi:[0.4713]] | t^2.102 + t^2.139 + t^2.447 + t^2.484 + 2*t^2.828 + t^3.209 + t^3.516 + t^3.861 + t^3.935 + 2*t^4.205 + 2*t^4.242 + t^4.279 + 2*t^4.549 + 2*t^4.586 + t^4.623 + t^4.893 + 3*t^4.93 + 3*t^4.967 + 2*t^5.275 + 3*t^5.312 + t^5.349 + t^5.619 + 4*t^5.656 + t^5.963 - t^6. - t^4.414/y - t^4.414*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1526 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6693 | 0.8394 | 0.7974 | [M:[1.0824, 0.8062, 1.0557, 0.833, 1.167, 0.6949], q:[0.5145, 0.4031], qb:[0.4299, 0.7639], phi:[0.4722]] | t^2.085 + t^2.419 + t^2.499 + t^2.833 + t^3.167 + t^3.247 + t^3.501 + 2*t^3.835 + t^3.996 + 2*t^4.169 + t^4.249 + 2*t^4.503 + t^4.584 + t^4.837 + 2*t^4.918 + t^4.998 + 2*t^5.252 + 2*t^5.332 + 2*t^5.586 + 2*t^5.666 + 2*t^5.92 - t^6. - t^4.416/y - t^4.416*y | detail |