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 |
---|---|---|---|---|---|---|---|---|---|
4773 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.7156 | 0.9148 | 0.7823 | [M:[0.9474, 0.8134, 0.9474, 0.8134, 1.1866, 0.7464, 0.7464, 0.8134], q:[0.6459, 0.4067], qb:[0.4067, 0.7799], phi:[0.4402]] | [M:[[-22], [-2], [-22], [-2], [2], [8], [8], [-2]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$ | -3 | 2*t^2.239 + 3*t^2.44 + t^2.641 + 2*t^2.842 + t^3.761 + t^4.277 + 5*t^4.478 + 6*t^4.679 + 8*t^4.88 + 7*t^5.081 + t^5.196 + 5*t^5.282 + 2*t^5.483 + 3*t^5.684 - 3*t^6. + t^6.201 + 2*t^6.517 + 8*t^6.718 + 13*t^6.919 + 14*t^7.12 + 20*t^7.321 + 2*t^7.435 + 16*t^7.522 + 2*t^7.636 + 13*t^7.723 - t^7.837 + 11*t^7.924 - 3*t^8.038 + 8*t^8.125 - 9*t^8.239 + 3*t^8.326 - 13*t^8.44 + 4*t^8.527 - 5*t^8.641 + 3*t^8.756 - 9*t^8.842 + 11*t^8.957 - t^4.321/y - (2*t^6.56)/y - (2*t^6.761)/y - t^6.962/y - (2*t^7.163)/y + (3*t^7.478)/y + (7*t^7.679)/y + (7*t^7.88)/y + (9*t^8.081)/y + (6*t^8.282)/y + (2*t^8.483)/y + t^8.684/y - (3*t^8.799)/y - t^4.321*y - 2*t^6.56*y - 2*t^6.761*y - t^6.962*y - 2*t^7.163*y + 3*t^7.478*y + 7*t^7.679*y + 7*t^7.88*y + 9*t^8.081*y + 6*t^8.282*y + 2*t^8.483*y + t^8.684*y - 3*t^8.799*y | 2*g1^8*t^2.239 + (3*t^2.44)/g1^2 + t^2.641/g1^12 + (2*t^2.842)/g1^22 + t^3.761/g1^8 + g1^26*t^4.277 + 5*g1^16*t^4.478 + 6*g1^6*t^4.679 + (8*t^4.88)/g1^4 + (7*t^5.081)/g1^14 + g1^40*t^5.196 + (5*t^5.282)/g1^24 + (2*t^5.483)/g1^34 + (3*t^5.684)/g1^44 - 3*t^6. + t^6.201/g1^10 + 2*g1^34*t^6.517 + 8*g1^24*t^6.718 + 13*g1^14*t^6.919 + 14*g1^4*t^7.12 + (20*t^7.321)/g1^6 + 2*g1^48*t^7.435 + (16*t^7.522)/g1^16 + 2*g1^38*t^7.636 + (13*t^7.723)/g1^26 - g1^28*t^7.837 + (11*t^7.924)/g1^36 - 3*g1^18*t^8.038 + (8*t^8.125)/g1^46 - 9*g1^8*t^8.239 + (3*t^8.326)/g1^56 - (13*t^8.44)/g1^2 + (4*t^8.527)/g1^66 - (5*t^8.641)/g1^12 + 3*g1^42*t^8.756 - (9*t^8.842)/g1^22 + 11*g1^32*t^8.957 - t^4.321/(g1^6*y) - (2*g1^2*t^6.56)/y - (2*t^6.761)/(g1^8*y) - t^6.962/(g1^18*y) - (2*t^7.163)/(g1^28*y) + (3*g1^16*t^7.478)/y + (7*g1^6*t^7.679)/y + (7*t^7.88)/(g1^4*y) + (9*t^8.081)/(g1^14*y) + (6*t^8.282)/(g1^24*y) + (2*t^8.483)/(g1^34*y) + t^8.684/(g1^44*y) - (3*g1^10*t^8.799)/y - (t^4.321*y)/g1^6 - 2*g1^2*t^6.56*y - (2*t^6.761*y)/g1^8 - (t^6.962*y)/g1^18 - (2*t^7.163*y)/g1^28 + 3*g1^16*t^7.478*y + 7*g1^6*t^7.679*y + (7*t^7.88*y)/g1^4 + (9*t^8.081*y)/g1^14 + (6*t^8.282*y)/g1^24 + (2*t^8.483*y)/g1^34 + (t^8.684*y)/g1^44 - 3*g1^10*t^8.799*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 |
---|---|---|---|---|---|---|---|---|
6394 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.7349 | 0.95 | 0.7735 | [M:[0.955, 0.8141, 0.955, 0.8141, 1.1859, 0.7436, 0.7436, 0.8141, 0.7436], q:[0.638, 0.407], qb:[0.407, 0.7789], phi:[0.4423]] | 3*t^2.231 + 3*t^2.442 + t^2.654 + 2*t^2.865 + t^4.251 + 8*t^4.462 + 9*t^4.673 + 9*t^4.885 + 9*t^5.096 + t^5.155 + 5*t^5.307 + 2*t^5.519 + 3*t^5.73 - 5*t^6. - t^4.327/y - t^4.327*y | detail | |
6393 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.7055 | 0.8979 | 0.7857 | [M:[0.9724, 0.8157, 0.9724, 0.8157, 1.1843, 0.7373, 0.7373, 0.8157, 1.106], q:[0.6198, 0.4078], qb:[0.4078, 0.7765], phi:[0.447]] | 2*t^2.212 + 3*t^2.447 + 2*t^2.917 + t^3.318 + t^3.788 + t^4.189 + 5*t^4.424 + 6*t^4.659 + 6*t^4.894 + t^5.06 + 4*t^5.129 + 4*t^5.364 + 2*t^5.53 + 3*t^5.765 + 3*t^5.834 - 3*t^6. - t^4.341/y - t^4.341*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 |
---|---|---|---|---|---|---|---|---|---|
2645 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7 | 0.8875 | 0.7887 | [M:[0.9506, 0.8137, 0.9506, 0.8137, 1.1863, 0.7452, 0.7452], q:[0.6426, 0.4068], qb:[0.4068, 0.7795], phi:[0.4411]] | 2*t^2.236 + 2*t^2.441 + t^2.646 + 2*t^2.852 + t^3.559 + t^3.764 + t^4.266 + 5*t^4.471 + 4*t^4.677 + 5*t^4.882 + 6*t^5.087 + t^5.179 + 3*t^5.293 + 2*t^5.498 + 3*t^5.704 + 2*t^5.795 - t^6. - t^4.323/y - t^4.323*y | detail |