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 |
|---|---|---|---|---|---|---|---|---|---|
| 3132 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6895 | 0.8758 | 0.7872 | [M:[0.8301, 1.0566, 1.1699, 0.7168, 0.8301, 1.0566, 0.7168], q:[0.4058, 0.7642], qb:[0.4243, 0.519], phi:[0.4717]] | [M:[[-12], [4], [12], [-20], [-12], [4], [-20]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | 2*t^2.15 + 2*t^2.49 + t^2.774 + 2*t^3.17 + t^3.565 + t^3.905 + t^3.961 + t^4.189 + t^4.245 + 3*t^4.301 + t^4.529 + 4*t^4.641 + 2*t^4.925 + 3*t^4.98 + 2*t^5.265 + 4*t^5.32 + t^5.549 + 3*t^5.66 + t^5.716 + t^5.944 - 3*t^6. + 3*t^6.056 + 2*t^6.111 - t^6.284 + 3*t^6.34 + 3*t^6.396 + 6*t^6.451 + 3*t^6.68 + 3*t^6.735 + 6*t^6.791 + t^6.964 + 2*t^7.075 + 7*t^7.131 + t^7.304 + 2*t^7.415 + 9*t^7.471 + t^7.526 + t^7.699 + t^7.755 + 6*t^7.811 + 2*t^7.866 + t^7.922 + t^8.039 + t^8.095 - 2*t^8.15 + 4*t^8.206 + 3*t^8.262 + t^8.323 - t^8.435 - t^8.49 + 6*t^8.546 + 9*t^8.602 + 2*t^8.719 - 4*t^8.774 + 4*t^8.83 + 6*t^8.886 + 11*t^8.941 - t^4.415/y - (2*t^6.565)/y - t^6.905/y + t^7.245/y + t^7.301/y - t^7.585/y + (4*t^7.641)/y + (3*t^7.925)/y + t^7.98/y + (4*t^8.265)/y + (4*t^8.32)/y + (4*t^8.66)/y - t^8.716/y + (2*t^8.944)/y - t^4.415*y - 2*t^6.565*y - t^6.905*y + t^7.245*y + t^7.301*y - t^7.585*y + 4*t^7.641*y + 3*t^7.925*y + t^7.98*y + 4*t^8.265*y + 4*t^8.32*y + 4*t^8.66*y - t^8.716*y + 2*t^8.944*y | (2*t^2.15)/g1^20 + (2*t^2.49)/g1^12 + g1^30*t^2.774 + 2*g1^4*t^3.17 + t^3.565/g1^22 + t^3.905/g1^14 + t^3.961/g1^48 + g1^28*t^4.189 + t^4.245/g1^6 + (3*t^4.301)/g1^40 + g1^36*t^4.529 + (4*t^4.641)/g1^32 + 2*g1^10*t^4.925 + (3*t^4.98)/g1^24 + 2*g1^18*t^5.265 + (4*t^5.32)/g1^16 + g1^60*t^5.549 + (3*t^5.66)/g1^8 + t^5.716/g1^42 + g1^34*t^5.944 - 3*t^6. + (3*t^6.056)/g1^34 + (2*t^6.111)/g1^68 - g1^42*t^6.284 + 3*g1^8*t^6.34 + (3*t^6.396)/g1^26 + (6*t^6.451)/g1^60 + 3*g1^16*t^6.68 + (3*t^6.735)/g1^18 + (6*t^6.791)/g1^52 + g1^58*t^6.964 + (2*t^7.075)/g1^10 + (7*t^7.131)/g1^44 + g1^66*t^7.304 + (2*t^7.415)/g1^2 + (9*t^7.471)/g1^36 + t^7.526/g1^70 + g1^40*t^7.699 + g1^6*t^7.755 + (6*t^7.811)/g1^28 + (2*t^7.866)/g1^62 + t^7.922/g1^96 + g1^48*t^8.039 + g1^14*t^8.095 - (2*t^8.15)/g1^20 + (4*t^8.206)/g1^54 + (3*t^8.262)/g1^88 + g1^90*t^8.323 - g1^22*t^8.435 - t^8.49/g1^12 + (6*t^8.546)/g1^46 + (9*t^8.602)/g1^80 + 2*g1^64*t^8.719 - 4*g1^30*t^8.774 + (4*t^8.83)/g1^4 + (6*t^8.886)/g1^38 + (11*t^8.941)/g1^72 - t^4.415/(g1^2*y) - (2*t^6.565)/(g1^22*y) - t^6.905/(g1^14*y) + t^7.245/(g1^6*y) + t^7.301/(g1^40*y) - (g1^2*t^7.585)/y + (4*t^7.641)/(g1^32*y) + (3*g1^10*t^7.925)/y + t^7.98/(g1^24*y) + (4*g1^18*t^8.265)/y + (4*t^8.32)/(g1^16*y) + (4*t^8.66)/(g1^8*y) - t^8.716/(g1^42*y) + (2*g1^34*t^8.944)/y - (t^4.415*y)/g1^2 - (2*t^6.565*y)/g1^22 - (t^6.905*y)/g1^14 + (t^7.245*y)/g1^6 + (t^7.301*y)/g1^40 - g1^2*t^7.585*y + (4*t^7.641*y)/g1^32 + 3*g1^10*t^7.925*y + (t^7.98*y)/g1^24 + 4*g1^18*t^8.265*y + (4*t^8.32*y)/g1^16 + (4*t^8.66*y)/g1^8 - (t^8.716*y)/g1^42 + 2*g1^34*t^8.944*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 |
|---|---|---|---|---|---|---|---|---|
| 5010 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6837 | 0.8653 | 0.7902 | [M:[0.8571, 1.0476, 1.1429, 0.7619, 0.8571, 1.0476, 0.7619], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | 2*t^2.286 + 3*t^2.571 + 2*t^3.143 + t^3.714 + 2*t^4. + 3*t^4.286 + 3*t^4.571 + 6*t^4.857 + 6*t^5.143 + 4*t^5.429 + 4*t^5.714 - 3*t^6. - t^4.429/y - t^4.429*y | detail | {a: 11257/16464, c: 7123/8232, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 6/7, M6: 22/21, M7: 16/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
| 5012 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.71 | 0.9151 | 0.7759 | [M:[0.8313, 1.0562, 1.1687, 0.7188, 0.8313, 1.0562, 0.7188, 0.6968], q:[0.4047, 0.7641], qb:[0.4266, 0.5172], phi:[0.4719]] | t^2.091 + 2*t^2.156 + 2*t^2.494 + t^2.765 + 2*t^3.169 + t^3.572 + t^3.975 + 2*t^4.181 + 3*t^4.247 + 3*t^4.313 + t^4.519 + 2*t^4.584 + 4*t^4.65 + t^4.856 + 2*t^4.922 + 3*t^4.988 + 4*t^5.259 + 4*t^5.325 + t^5.531 + 4*t^5.663 + t^5.728 + t^5.934 - 3*t^6. - t^4.416/y - t^4.416*y | detail | |
| 5013 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7103 | 0.9167 | 0.7748 | [M:[0.8312, 1.0563, 1.1688, 0.7187, 0.8312, 1.0563, 0.7187, 0.675], q:[0.4047, 0.7641], qb:[0.4266, 0.5172], phi:[0.4719]] | t^2.025 + 2*t^2.156 + 2*t^2.494 + t^2.766 + 2*t^3.169 + t^3.572 + t^3.909 + t^4.05 + 3*t^4.181 + t^4.247 + 3*t^4.312 + 3*t^4.519 + 4*t^4.65 + t^4.791 + 2*t^4.922 + 3*t^4.987 + 2*t^5.194 + 2*t^5.259 + 4*t^5.325 + t^5.531 + t^5.597 + 3*t^5.662 + t^5.728 + 2*t^5.934 - 3*t^6. - t^4.416/y - t^4.416*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2063 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6694 | 0.8378 | 0.799 | [M:[0.8331, 1.0556, 1.1669, 0.7218, 0.8331, 1.0556], q:[0.403, 0.7639], qb:[0.4301, 0.5143], phi:[0.4722]] | t^2.165 + 2*t^2.499 + t^2.752 + 2*t^3.167 + t^3.582 + t^3.835 + t^3.916 + t^3.997 + t^4.168 + t^4.25 + t^4.331 + t^4.502 + 2*t^4.665 + t^4.917 + 3*t^4.998 + 2*t^5.251 + 2*t^5.332 + t^5.504 + 3*t^5.666 + t^5.919 - 2*t^6. - t^4.417/y - t^4.417*y | detail |