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 |
|---|---|---|---|---|---|---|---|---|---|
| 47899 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 1.474 | 1.6831 | 0.8758 | [q:[0.5017, 0.4949], qb:[0.5017, 0.4949], phi:[0.3345]] | [q:[[-3, -3], [-9, 3]], qb:[[6, 0], [0, 6]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{5}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${2}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | t^2.007 + t^2.969 + 2*t^2.99 + 2*t^3.01 + t^3.973 + 2*t^3.993 + 2*t^4.014 + 2*t^4.976 + 4*t^4.997 + 3*t^5.017 + 2*t^5.478 + 2*t^5.498 + t^5.938 + 2*t^5.959 + 4*t^5.979 + 2*t^6. + 3*t^6.021 + 2*t^6.481 + 2*t^6.502 + t^6.942 + 4*t^6.962 + 7*t^6.983 + 7*t^7.003 + 3*t^7.024 + 2*t^7.464 + 2*t^7.485 + 2*t^7.505 + 2*t^7.526 + 3*t^7.945 + 7*t^7.966 + 10*t^7.986 + 7*t^8.007 + 4*t^8.027 + 2*t^8.447 + 4*t^8.468 + 4*t^8.488 - 2*t^8.529 + t^8.908 + 2*t^8.928 + 5*t^8.949 + 7*t^8.969 + 6*t^8.99 - t^4.003/y - t^5.007/y - t^6.01/y - t^6.973/y - (2*t^6.993)/y - (3*t^7.014)/y + t^7.997/y - t^8.017/y + (2*t^8.959)/y + (2*t^8.979)/y - t^4.003*y - t^5.007*y - t^6.01*y - t^6.973*y - 2*t^6.993*y - 3*t^7.014*y + t^7.997*y - t^8.017*y + 2*t^8.959*y + 2*t^8.979*y | (g1^2*t^2.007)/g2^2 + (g2^9*t^2.969)/g1^9 + (2*g2^3*t^2.99)/g1^3 + (2*g1^3*t^3.01)/g2^3 + (g2^8*t^3.973)/g1^8 + (2*g2^2*t^3.993)/g1^2 + (2*g1^4*t^4.014)/g2^4 + (2*g2^7*t^4.976)/g1^7 + (4*g2*t^4.997)/g1 + (3*g1^5*t^5.017)/g2^5 + (g2^2*t^5.478)/g1^20 + g1^7*g2^11*t^5.478 + t^5.498/(g1^14*g2^4) + g1^13*g2^5*t^5.498 + (g2^18*t^5.938)/g1^18 + (2*g2^12*t^5.959)/g1^12 + (4*g2^6*t^5.979)/g1^6 + 2*t^6. + (3*g1^6*t^6.021)/g2^6 + (g2*t^6.481)/g1^19 + g1^8*g2^10*t^6.481 + t^6.502/(g1^13*g2^5) + g1^14*g2^4*t^6.502 + (g2^17*t^6.942)/g1^17 + (4*g2^11*t^6.962)/g1^11 + (7*g2^5*t^6.983)/g1^5 + (7*g1*t^7.003)/g2 + (3*g1^7*t^7.024)/g2^7 + (g2^6*t^7.464)/g1^24 + g1^3*g2^15*t^7.464 + t^7.485/g1^18 + g1^9*g2^9*t^7.485 + t^7.505/(g1^12*g2^6) + g1^15*g2^3*t^7.505 + t^7.526/(g1^6*g2^12) + (g1^21*t^7.526)/g2^3 + (3*g2^16*t^7.945)/g1^16 + (7*g2^10*t^7.966)/g1^10 + (10*g2^4*t^7.986)/g1^4 + (7*g1^2*t^8.007)/g2^2 + (4*g1^8*t^8.027)/g2^8 + (g2^11*t^8.447)/g1^29 + (g2^20*t^8.447)/g1^2 + (2*g2^5*t^8.468)/g1^23 + 2*g1^4*g2^14*t^8.468 + (2*t^8.488)/(g1^17*g2) + 2*g1^10*g2^8*t^8.488 - t^8.529/(g1^5*g2^13) - (g1^22*t^8.529)/g2^4 + (g2^27*t^8.908)/g1^27 + (2*g2^21*t^8.928)/g1^21 + (5*g2^15*t^8.949)/g1^15 + (7*g2^9*t^8.969)/g1^9 + (6*g2^3*t^8.99)/g1^3 - (g1*t^4.003)/(g2*y) - (g1^2*t^5.007)/(g2^2*y) - (g1^3*t^6.01)/(g2^3*y) - (g2^8*t^6.973)/(g1^8*y) - (2*g2^2*t^6.993)/(g1^2*y) - (3*g1^4*t^7.014)/(g2^4*y) + (g2*t^7.997)/(g1*y) - (g1^5*t^8.017)/(g2^5*y) + (2*g2^12*t^8.959)/(g1^12*y) + (2*g2^6*t^8.979)/(g1^6*y) - (g1*t^4.003*y)/g2 - (g1^2*t^5.007*y)/g2^2 - (g1^3*t^6.01*y)/g2^3 - (g2^8*t^6.973*y)/g1^8 - (2*g2^2*t^6.993*y)/g1^2 - (3*g1^4*t^7.014*y)/g2^4 + (g2*t^7.997*y)/g1 - (g1^5*t^8.017*y)/g2^5 + (2*g2^12*t^8.959*y)/g1^12 + (2*g2^6*t^8.979*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57405 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4949 | 1.7246 | 0.8668 | [M:[0.6689], q:[0.5017, 0.495], qb:[0.5017, 0.495], phi:[0.3345]] | 2*t^2.007 + t^2.97 + 2*t^2.99 + 2*t^3.01 + t^3.973 + t^3.993 + 4*t^4.013 + 3*t^4.976 + 6*t^4.997 + 5*t^5.017 + 2*t^5.478 + 2*t^5.498 + t^5.94 + 2*t^5.96 + 5*t^5.98 + 2*t^6. - t^4.003/y - t^5.007/y - t^4.003*y - t^5.007*y | detail | |
| 57404 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4949 | 1.7241 | 0.867 | [M:[0.6737], q:[0.5013, 0.496], qb:[0.5013, 0.496], phi:[0.3342]] | t^2.005 + t^2.021 + t^2.976 + 2*t^2.992 + 2*t^3.008 + 2*t^3.995 + 2*t^4.011 + t^4.027 + t^4.042 + 2*t^4.981 + 5*t^4.997 + 5*t^5.013 + 2*t^5.029 + 2*t^5.483 + 2*t^5.499 + t^5.952 + 2*t^5.968 + 3*t^5.984 + 2*t^6. - t^4.003/y - t^5.005/y - t^4.003*y - t^5.005*y | detail | |
| 57401 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 1.4532 | 1.6416 | 0.8853 | [M:[1.331], q:[0.5017, 0.4948], qb:[0.5017, 0.4948], phi:[0.3345]] | t^2.969 + 2*t^2.99 + 2*t^3.01 + t^3.972 + 3*t^3.993 + t^4.014 + t^4.976 + 2*t^4.997 + t^5.017 + 2*t^5.477 + 2*t^5.498 + t^5.937 + 2*t^5.958 + 3*t^5.979 - t^4.003/y - t^5.007/y - t^4.003*y - t^5.007*y | detail | |
| 57398 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4412 | 1.6237 | 0.8876 | [X:[1.3465], q:[0.5315, 0.5709], qb:[0.4488, 0.4883], phi:[0.3268]] | 2*t^2.941 + 2*t^3.059 + t^3.177 + t^3.921 + 3*t^4.039 + t^4.158 + t^4.901 + 2*t^5.02 + 2*t^5.138 + t^5.256 + 2*t^5.882 + t^6. - t^3.98/y - t^4.961/y - t^3.98*y - t^4.961*y | detail | |
| 57415 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1082 | 1.2332 | 0.8986 | [X:[1.5], q:[0.375, 0.875], qb:[0.375, 0.875], phi:[0.25]] | 2*t^2.25 + t^3. + 3*t^3.75 + 4*t^4.5 + 3*t^5.25 + 4*t^5.625 + 2*t^6. - t^3.75/y - t^4.5/y - (2*t^6.)/y - t^3.75*y - t^4.5*y - 2*t^6.*y | detail | {a: 4539/4096, c: 5051/4096, X1: 3/2, q1: 3/8, q2: 7/8, qb1: 3/8, qb2: 7/8, phi1: 1/4} |
| 57414 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{3}$ | 0.8542 | 0.9167 | 0.9318 | [X:[1.5556, 1.3333, 1.3333], q:[0.3333, 1.0], qb:[0.3333, 1.0], phi:[0.2222]] | t^2.667 + t^3.333 + 2*t^4. + t^4.667 + 2*t^5. + t^5.333 - t^6. - t^3.667/y - t^4.333/y - t^3.667*y - t^4.333*y | detail | {a: 41/48, c: 11/12, X1: 14/9, X2: 4/3, X3: 4/3, q1: 1/3, q2: 1, qb1: 1/3, qb2: 1, phi1: 2/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47867 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ | 1.4741 | 1.6835 | 0.8756 | [q:[0.4973, 0.4973], qb:[0.5027, 0.4919], phi:[0.3351]] | t^2.011 + 2*t^2.967 + 2*t^3. + t^3.016 + 2*t^3.973 + 2*t^4.005 + t^4.022 + 4*t^4.978 + 4*t^5.011 + t^5.027 + t^5.465 + 2*t^5.481 + t^5.497 + 3*t^5.935 + 3*t^5.967 + 4*t^5.984 - 3*t^6. - t^4.005/y - t^5.011/y - t^4.005*y - t^5.011*y | detail |