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 |
---|---|---|---|---|---|---|---|---|---|
4663 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6677 | 0.8408 | 0.7941 | [X:[1.3377], M:[1.1082, 0.6754, 0.6623, 1.1213, 0.8787, 0.8787, 1.1213, 0.6754], q:[0.5541, 0.3377], qb:[0.7836, 0.5409], phi:[0.4459]] | [X:[[3]], M:[[-2], [6], [-3], [7], [-7], [-7], [7], [6]], q:[[-1], [3]], qb:[[4], [-10]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{8}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}M_{6}M_{7}$ | -2 | 2*t^2.026 + t^2.636 + t^2.675 + t^3.285 + t^3.325 + 2*t^3.364 + 2*t^4.013 + 3*t^4.053 + t^4.583 + t^4.623 + 2*t^4.662 + 3*t^4.702 + 3*t^5.311 + 3*t^5.351 + 3*t^5.39 + t^5.921 + t^5.961 - 2*t^6. + 6*t^6.039 + 4*t^6.079 + t^6.57 + t^6.61 + 3*t^6.649 + 4*t^6.689 + 6*t^6.728 + t^7.219 + t^7.259 + t^7.298 + 2*t^7.338 + 8*t^7.377 + 4*t^7.417 + t^7.868 + t^7.908 + 2*t^7.947 + t^7.987 - 3*t^8.026 + 10*t^8.066 + 5*t^8.105 + 2*t^8.597 - t^8.636 + t^8.675 + 8*t^8.715 + 8*t^8.754 - t^4.338/y - (2*t^6.364)/y + t^7.053/y + (2*t^7.662)/y + (2*t^7.702)/y + (5*t^8.311)/y + (2*t^8.351)/y + t^8.39/y + t^8.921/y + (2*t^8.961)/y - t^4.338*y - 2*t^6.364*y + t^7.053*y + 2*t^7.662*y + 2*t^7.702*y + 5*t^8.311*y + 2*t^8.351*y + t^8.39*y + t^8.921*y + 2*t^8.961*y | 2*g1^6*t^2.026 + t^2.636/g1^7 + g1^2*t^2.675 + t^3.285/g1^11 + t^3.325/g1^2 + 2*g1^7*t^3.364 + 2*g1^3*t^4.013 + 3*g1^12*t^4.053 + t^4.583/g1^19 + t^4.623/g1^10 + (2*t^4.662)/g1 + 3*g1^8*t^4.702 + (3*t^5.311)/g1^5 + 3*g1^4*t^5.351 + 3*g1^13*t^5.39 + t^5.921/g1^18 + t^5.961/g1^9 - 2*t^6. + 6*g1^9*t^6.039 + 4*g1^18*t^6.079 + t^6.57/g1^22 + t^6.61/g1^13 + (3*t^6.649)/g1^4 + 4*g1^5*t^6.689 + 6*g1^14*t^6.728 + t^7.219/g1^26 + t^7.259/g1^17 + t^7.298/g1^8 + 2*g1*t^7.338 + 8*g1^10*t^7.377 + 4*g1^19*t^7.417 + t^7.868/g1^30 + t^7.908/g1^21 + (2*t^7.947)/g1^12 + t^7.987/g1^3 - 3*g1^6*t^8.026 + 10*g1^15*t^8.066 + 5*g1^24*t^8.105 + (2*t^8.597)/g1^16 - t^8.636/g1^7 + g1^2*t^8.675 + 8*g1^11*t^8.715 + 8*g1^20*t^8.754 - (g1*t^4.338)/y - (2*g1^7*t^6.364)/y + (g1^12*t^7.053)/y + (2*t^7.662)/(g1*y) + (2*g1^8*t^7.702)/y + (5*t^8.311)/(g1^5*y) + (2*g1^4*t^8.351)/y + (g1^13*t^8.39)/y + t^8.921/(g1^18*y) + (2*t^8.961)/(g1^9*y) - g1*t^4.338*y - 2*g1^7*t^6.364*y + g1^12*t^7.053*y + (2*t^7.662*y)/g1 + 2*g1^8*t^7.702*y + (5*t^8.311*y)/g1^5 + 2*g1^4*t^8.351*y + g1^13*t^8.39*y + (t^8.921*y)/g1^18 + (2*t^8.961*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
6238 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{9}$ | 0.6792 | 0.8603 | 0.7896 | [X:[1.3447], M:[1.1035, 0.6895, 0.6553, 1.1377, 0.8623, 0.8623, 1.1377, 0.6895, 0.8623], q:[0.5518, 0.3447], qb:[0.793, 0.5175], phi:[0.4482]] | 2*t^2.068 + 2*t^2.587 + t^2.689 + t^3.208 + t^3.311 + t^3.413 + 2*t^4.034 + 3*t^4.137 + t^4.45 + t^4.553 + 4*t^4.655 + 3*t^4.758 + 2*t^5.174 + 4*t^5.276 + 3*t^5.379 + t^5.482 + 2*t^5.795 + 2*t^5.897 - 2*t^6. - t^4.345/y - t^4.345*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2583 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ | 0.6469 | 0.7998 | 0.8088 | [X:[1.3381], M:[1.1079, 0.6763, 0.6619, 1.1223, 0.8777, 0.8777, 1.1223], q:[0.554, 0.3381], qb:[0.7842, 0.5395], phi:[0.446]] | t^2.029 + t^2.633 + t^2.676 + t^3.281 + t^3.324 + 2*t^3.367 + t^3.971 + 2*t^4.014 + t^4.058 + t^4.575 + t^4.619 + t^4.662 + 2*t^4.705 + 2*t^5.309 + 2*t^5.353 + t^5.396 + t^5.914 + t^5.957 - t^6. - t^4.338/y - t^4.338*y | detail |