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 |
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48210 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6591 | 0.8332 | 0.7911 | [X:[1.6165], M:[0.3835, 0.6843, 1.1504, 0.8496, 0.6825, 0.7651], q:[0.8918, 0.7247], qb:[0.4239, 0.4257], phi:[0.3835]] | [X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [-2, -4], [-2, 1]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.047 + t^2.053 + t^2.295 + t^2.301 + t^2.549 + t^3.446 + t^3.451 + t^3.694 + t^3.699 + t^4.095 + t^4.1 + t^4.106 + t^4.343 + 2*t^4.348 + t^4.354 + t^4.591 + 2*t^4.596 + 2*t^4.602 + t^4.844 + 2*t^4.85 + t^5.097 + t^5.493 + 2*t^5.499 + t^5.504 + 2*t^5.741 + 3*t^5.747 + t^5.752 + t^5.989 + 2*t^5.994 - t^6. - t^6.006 + t^6.142 + t^6.148 + t^6.153 + t^6.159 + t^6.242 - t^6.253 + t^6.39 + 2*t^6.396 + 2*t^6.401 + t^6.407 + t^6.638 + 3*t^6.644 + 3*t^6.649 + 2*t^6.655 + t^6.886 + 3*t^6.891 + 4*t^6.897 + 3*t^6.903 + 2*t^7.139 + 3*t^7.145 + t^7.15 - t^7.156 + t^7.387 + t^7.393 - t^7.398 - 2*t^7.404 + t^7.54 + 2*t^7.546 + 2*t^7.552 + t^7.557 - t^7.652 + 2*t^7.788 + 4*t^7.794 + 3*t^7.799 + t^7.805 + 2*t^8.036 + 4*t^8.042 + t^8.047 - 2*t^8.053 - t^8.058 + t^8.19 + t^8.195 + t^8.201 + t^8.206 + t^8.212 + t^8.284 + 3*t^8.29 - 3*t^8.301 - 2*t^8.306 + t^8.437 + 2*t^8.443 + 2*t^8.449 + 2*t^8.454 + t^8.46 + t^8.538 + t^8.543 - 4*t^8.549 - 3*t^8.554 + t^8.685 + 3*t^8.691 + 4*t^8.696 + 3*t^8.702 + 2*t^8.708 + t^8.791 - t^8.797 - 2*t^8.802 + t^8.933 + 4*t^8.939 + 6*t^8.944 + 5*t^8.95 + 3*t^8.955 - t^4.15/y - t^6.198/y - t^6.203/y - t^6.446/y - t^6.451/y + t^7.1/y + t^7.343/y + (2*t^7.348)/y + t^7.354/y + (2*t^7.596)/y + t^7.602/y + t^7.844/y + (2*t^7.85)/y + t^7.855/y + t^8.097/y + t^8.103/y - t^8.245/y - t^8.251/y - t^8.256/y + t^8.741/y + (3*t^8.747)/y + t^8.752/y + t^8.989/y + (3*t^8.994)/y - t^4.15*y - t^6.198*y - t^6.203*y - t^6.446*y - t^6.451*y + t^7.1*y + t^7.343*y + 2*t^7.348*y + t^7.354*y + 2*t^7.596*y + t^7.602*y + t^7.844*y + 2*t^7.85*y + t^7.855*y + t^8.097*y + t^8.103*y - t^8.245*y - t^8.251*y - t^8.256*y + t^8.741*y + 3*t^8.747*y + t^8.752*y + t^8.989*y + 3*t^8.994*y | t^2.047/(g1^2*g2^4) + t^2.053/g2^7 + (g2*t^2.295)/g1^2 + t^2.301/g2^2 + g2^3*t^2.549 + t^3.446/g1^2 + t^3.451/g2^3 + (g2^5*t^3.694)/g1^2 + g2^2*t^3.699 + t^4.095/(g1^4*g2^8) + t^4.1/(g1^2*g2^11) + t^4.106/g2^14 + t^4.343/(g1^4*g2^3) + (2*t^4.348)/(g1^2*g2^6) + t^4.354/g2^9 + (g2^2*t^4.591)/g1^4 + (2*t^4.596)/(g1^2*g2) + (2*t^4.602)/g2^4 + (g2^4*t^4.844)/g1^2 + 2*g2*t^4.85 + g2^6*t^5.097 + t^5.493/(g1^4*g2^4) + (2*t^5.499)/(g1^2*g2^7) + t^5.504/g2^10 + (2*g2*t^5.741)/g1^4 + (3*t^5.747)/(g1^2*g2^2) + t^5.752/g2^5 + (g2^6*t^5.989)/g1^4 + (2*g2^3*t^5.994)/g1^2 - t^6. - (g1^2*t^6.006)/g2^3 + t^6.142/(g1^6*g2^12) + t^6.148/(g1^4*g2^15) + t^6.153/(g1^2*g2^18) + t^6.159/g2^21 + (g2^8*t^6.242)/g1^2 - g1^2*g2^2*t^6.253 + t^6.39/(g1^6*g2^7) + (2*t^6.396)/(g1^4*g2^10) + (2*t^6.401)/(g1^2*g2^13) + t^6.407/g2^16 + t^6.638/(g1^6*g2^2) + (3*t^6.644)/(g1^4*g2^5) + (3*t^6.649)/(g1^2*g2^8) + (2*t^6.655)/g2^11 + (g2^3*t^6.886)/g1^6 + (3*t^6.891)/g1^4 + (4*t^6.897)/(g1^2*g2^3) + (3*t^6.903)/g2^6 + (2*g2^5*t^7.139)/g1^4 + (3*g2^2*t^7.145)/g1^2 + t^7.15/g2 - (g1^2*t^7.156)/g2^4 + (g2^10*t^7.387)/g1^4 + (g2^7*t^7.393)/g1^2 - g2^4*t^7.398 - 2*g1^2*g2*t^7.404 + t^7.54/(g1^6*g2^8) + (2*t^7.546)/(g1^4*g2^11) + (2*t^7.552)/(g1^2*g2^14) + t^7.557/g2^17 - g1^2*g2^6*t^7.652 + (2*t^7.788)/(g1^6*g2^3) + (4*t^7.794)/(g1^4*g2^6) + (3*t^7.799)/(g1^2*g2^9) + t^7.805/g2^12 + (2*g2^2*t^8.036)/g1^6 + (4*t^8.042)/(g1^4*g2) + t^8.047/(g1^2*g2^4) - (2*t^8.053)/g2^7 - (g1^2*t^8.058)/g2^10 + t^8.19/(g1^8*g2^16) + t^8.195/(g1^6*g2^19) + t^8.201/(g1^4*g2^22) + t^8.206/(g1^2*g2^25) + t^8.212/g2^28 + (g2^7*t^8.284)/g1^6 + (3*g2^4*t^8.29)/g1^4 - (3*t^8.301)/g2^2 - (2*g1^2*t^8.306)/g2^5 + t^8.437/(g1^8*g2^11) + (2*t^8.443)/(g1^6*g2^14) + (2*t^8.449)/(g1^4*g2^17) + (2*t^8.454)/(g1^2*g2^20) + t^8.46/g2^23 + (g2^9*t^8.538)/g1^4 + (g2^6*t^8.543)/g1^2 - 4*g2^3*t^8.549 - 3*g1^2*t^8.554 + t^8.685/(g1^8*g2^6) + (3*t^8.691)/(g1^6*g2^9) + (4*t^8.696)/(g1^4*g2^12) + (3*t^8.702)/(g1^2*g2^15) + (2*t^8.708)/g2^18 + (g2^11*t^8.791)/g1^2 - g2^8*t^8.797 - 2*g1^2*g2^5*t^8.802 + t^8.933/(g1^8*g2) + (4*t^8.939)/(g1^6*g2^4) + (6*t^8.944)/(g1^4*g2^7) + (5*t^8.95)/(g1^2*g2^10) + (3*t^8.955)/g2^13 - t^4.15/(g2*y) - t^6.198/(g1^2*g2^5*y) - t^6.203/(g2^8*y) - t^6.446/(g1^2*y) - t^6.451/(g2^3*y) + t^7.1/(g1^2*g2^11*y) + t^7.343/(g1^4*g2^3*y) + (2*t^7.348)/(g1^2*g2^6*y) + t^7.354/(g2^9*y) + (2*t^7.596)/(g1^2*g2*y) + t^7.602/(g2^4*y) + (g2^4*t^7.844)/(g1^2*y) + (2*g2*t^7.85)/y + (g1^2*t^7.855)/(g2^2*y) + (g2^6*t^8.097)/y + (g1^2*g2^3*t^8.103)/y - t^8.245/(g1^4*g2^9*y) - t^8.251/(g1^2*g2^12*y) - t^8.256/(g2^15*y) + (g2*t^8.741)/(g1^4*y) + (3*t^8.747)/(g1^2*g2^2*y) + t^8.752/(g2^5*y) + (g2^6*t^8.989)/(g1^4*y) + (3*g2^3*t^8.994)/(g1^2*y) - (t^4.15*y)/g2 - (t^6.198*y)/(g1^2*g2^5) - (t^6.203*y)/g2^8 - (t^6.446*y)/g1^2 - (t^6.451*y)/g2^3 + (t^7.1*y)/(g1^2*g2^11) + (t^7.343*y)/(g1^4*g2^3) + (2*t^7.348*y)/(g1^2*g2^6) + (t^7.354*y)/g2^9 + (2*t^7.596*y)/(g1^2*g2) + (t^7.602*y)/g2^4 + (g2^4*t^7.844*y)/g1^2 + 2*g2*t^7.85*y + (g1^2*t^7.855*y)/g2^2 + g2^6*t^8.097*y + g1^2*g2^3*t^8.103*y - (t^8.245*y)/(g1^4*g2^9) - (t^8.251*y)/(g1^2*g2^12) - (t^8.256*y)/g2^15 + (g2*t^8.741*y)/g1^4 + (3*t^8.747*y)/(g1^2*g2^2) + (t^8.752*y)/g2^5 + (g2^6*t^8.989*y)/g1^4 + (3*g2^3*t^8.994*y)/g1^2 |
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 |
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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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46678 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6414 | 0.7996 | 0.8022 | [X:[1.6177], M:[0.3823, 0.676, 1.1468, 0.8532, 0.7046], q:[0.8831, 0.7346], qb:[0.4409, 0.4122], phi:[0.3823]] | t^2.028 + t^2.114 + t^2.294 + t^2.559 + t^3.441 + t^3.527 + t^3.62 + t^3.706 + t^3.792 + t^4.056 + t^4.142 + t^4.228 + t^4.322 + t^4.408 + 2*t^4.587 + t^4.673 + 2*t^4.853 + t^5.119 + t^5.468 + 2*t^5.554 + t^5.641 + t^5.648 + 2*t^5.734 + 2*t^5.82 + t^5.906 - t^6. - t^4.147/y - t^4.147*y | detail |