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 |
---|---|---|---|---|---|---|---|---|---|
6449 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{9}$ | 0.7146 | 0.9138 | 0.7819 | [M:[1.0177, 0.794, 0.9823, 0.8295, 1.1705, 0.753, 1.0177, 0.6822, 0.8295], q:[0.5853, 0.397], qb:[0.4324, 0.7735], phi:[0.4529]] | [M:[[22], [-30], [-22], [14], [-14], [32], [22], [-56], [14]], q:[[-7], [-15]], qb:[[29], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{9}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}M_{9}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{9}$, ${ }M_{2}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{9}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{9}$, ${ }M_{9}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -3 | t^2.047 + t^2.259 + t^2.382 + 2*t^2.488 + t^2.718 + 2*t^3.053 + t^3.847 + t^4.076 + t^4.093 + 2*t^4.306 + t^4.412 + t^4.429 + t^4.518 + 2*t^4.535 + t^4.641 + 2*t^4.747 + 2*t^4.764 + 3*t^4.87 + 4*t^4.977 + 3*t^5.1 + 2*t^5.206 + 2*t^5.312 + 2*t^5.435 + 3*t^5.541 + 2*t^5.771 - 3*t^6. + 3*t^6.106 + t^6.123 + t^6.14 + 2*t^6.336 + 2*t^6.352 + t^6.459 + t^6.475 + 2*t^6.565 + 2*t^6.581 + t^6.671 + 2*t^6.688 + t^6.777 + 3*t^6.794 + 2*t^6.811 + 3*t^6.9 + 3*t^6.917 + 2*t^7.007 + 4*t^7.023 + 4*t^7.13 + 4*t^7.146 + 3*t^7.236 + 4*t^7.253 + 6*t^7.359 + 6*t^7.465 + 3*t^7.482 + 2*t^7.571 + 5*t^7.588 + 4*t^7.694 + 3*t^7.801 + 2*t^7.817 + 3*t^7.924 + 5*t^8.03 - 3*t^8.047 + 3*t^8.153 + t^8.17 + t^8.186 - t^8.259 - t^8.276 + 3*t^8.365 - 3*t^8.382 + 2*t^8.399 - 3*t^8.488 + t^8.505 + t^8.522 + 4*t^8.595 + t^8.611 + 2*t^8.628 - 3*t^8.718 + 2*t^8.734 + 5*t^8.824 + 3*t^8.841 + 2*t^8.857 + t^8.93 + t^8.947 + 3*t^8.964 - t^4.359/y - t^6.405/y - t^6.618/y - t^6.741/y - t^6.847/y - t^7.076/y + (2*t^7.306)/y - t^7.412/y + t^7.429/y + (2*t^7.535)/y + (2*t^7.641)/y + (2*t^7.747)/y + t^7.764/y + (3*t^7.87)/y + (3*t^7.977)/y + (4*t^8.1)/y + (2*t^8.206)/y + (3*t^8.312)/y + (2*t^8.435)/y - t^8.452/y + (4*t^8.541)/y - t^8.664/y + (2*t^8.771)/y - t^8.787/y - t^8.877/y - t^4.359*y - t^6.405*y - t^6.618*y - t^6.741*y - t^6.847*y - t^7.076*y + 2*t^7.306*y - t^7.412*y + t^7.429*y + 2*t^7.535*y + 2*t^7.641*y + 2*t^7.747*y + t^7.764*y + 3*t^7.87*y + 3*t^7.977*y + 4*t^8.1*y + 2*t^8.206*y + 3*t^8.312*y + 2*t^8.435*y - t^8.452*y + 4*t^8.541*y - t^8.664*y + 2*t^8.771*y - t^8.787*y - t^8.877*y | t^2.047/g1^56 + g1^32*t^2.259 + t^2.382/g1^30 + 2*g1^14*t^2.488 + t^2.718/g1^4 + 2*g1^22*t^3.053 + g1^12*t^3.847 + t^4.076/g1^6 + t^4.093/g1^112 + (2*t^4.306)/g1^24 + g1^20*t^4.412 + t^4.429/g1^86 + g1^64*t^4.518 + (2*t^4.535)/g1^42 + g1^2*t^4.641 + 2*g1^46*t^4.747 + (2*t^4.764)/g1^60 + (3*t^4.87)/g1^16 + 4*g1^28*t^4.977 + (3*t^5.1)/g1^34 + 2*g1^10*t^5.206 + 2*g1^54*t^5.312 + (2*t^5.435)/g1^8 + 3*g1^36*t^5.541 + 2*g1^18*t^5.771 - 3*t^6. + 3*g1^44*t^6.106 + t^6.123/g1^62 + t^6.14/g1^168 + 2*g1^26*t^6.336 + (2*t^6.352)/g1^80 + t^6.459/g1^36 + t^6.475/g1^142 + 2*g1^8*t^6.565 + (2*t^6.581)/g1^98 + g1^52*t^6.671 + (2*t^6.688)/g1^54 + g1^96*t^6.777 + (3*t^6.794)/g1^10 + (2*t^6.811)/g1^116 + 3*g1^34*t^6.9 + (3*t^6.917)/g1^72 + 2*g1^78*t^7.007 + (4*t^7.023)/g1^28 + 4*g1^16*t^7.13 + (4*t^7.146)/g1^90 + 3*g1^60*t^7.236 + (4*t^7.253)/g1^46 + (6*t^7.359)/g1^2 + 6*g1^42*t^7.465 + (3*t^7.482)/g1^64 + 2*g1^86*t^7.571 + (5*t^7.588)/g1^20 + 4*g1^24*t^7.694 + 3*g1^68*t^7.801 + (2*t^7.817)/g1^38 + 3*g1^6*t^7.924 + 5*g1^50*t^8.03 - (3*t^8.047)/g1^56 + (3*t^8.153)/g1^12 + t^8.17/g1^118 + t^8.186/g1^224 - g1^32*t^8.259 - t^8.276/g1^74 + 3*g1^76*t^8.365 - (3*t^8.382)/g1^30 + (2*t^8.399)/g1^136 - 3*g1^14*t^8.488 + t^8.505/g1^92 + t^8.522/g1^198 + 4*g1^58*t^8.595 + t^8.611/g1^48 + (2*t^8.628)/g1^154 - (3*t^8.718)/g1^4 + (2*t^8.734)/g1^110 + 5*g1^40*t^8.824 + (3*t^8.841)/g1^66 + (2*t^8.857)/g1^172 + g1^84*t^8.93 + t^8.947/g1^22 + (3*t^8.964)/g1^128 - t^4.359/(g1^2*y) - t^6.405/(g1^58*y) - (g1^30*t^6.618)/y - t^6.741/(g1^32*y) - (g1^12*t^6.847)/y - t^7.076/(g1^6*y) + (2*t^7.306)/(g1^24*y) - (g1^20*t^7.412)/y + t^7.429/(g1^86*y) + (2*t^7.535)/(g1^42*y) + (2*g1^2*t^7.641)/y + (2*g1^46*t^7.747)/y + t^7.764/(g1^60*y) + (3*t^7.87)/(g1^16*y) + (3*g1^28*t^7.977)/y + (4*t^8.1)/(g1^34*y) + (2*g1^10*t^8.206)/y + (3*g1^54*t^8.312)/y + (2*t^8.435)/(g1^8*y) - t^8.452/(g1^114*y) + (4*g1^36*t^8.541)/y - t^8.664/(g1^26*y) + (2*g1^18*t^8.771)/y - t^8.787/(g1^88*y) - (g1^62*t^8.877)/y - (t^4.359*y)/g1^2 - (t^6.405*y)/g1^58 - g1^30*t^6.618*y - (t^6.741*y)/g1^32 - g1^12*t^6.847*y - (t^7.076*y)/g1^6 + (2*t^7.306*y)/g1^24 - g1^20*t^7.412*y + (t^7.429*y)/g1^86 + (2*t^7.535*y)/g1^42 + 2*g1^2*t^7.641*y + 2*g1^46*t^7.747*y + (t^7.764*y)/g1^60 + (3*t^7.87*y)/g1^16 + 3*g1^28*t^7.977*y + (4*t^8.1*y)/g1^34 + 2*g1^10*t^8.206*y + 3*g1^54*t^8.312*y + (2*t^8.435*y)/g1^8 - (t^8.452*y)/g1^114 + 4*g1^36*t^8.541*y - (t^8.664*y)/g1^26 + 2*g1^18*t^8.771*y - (t^8.787*y)/g1^88 - g1^62*t^8.877*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
4831 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7001 | 0.889 | 0.7875 | [M:[1.0224, 0.7877, 0.9776, 0.8324, 1.1676, 0.7598, 1.0224, 0.6703], q:[0.5838, 0.3938], qb:[0.4386, 0.7737], phi:[0.4525]] | t^2.011 + t^2.279 + t^2.363 + t^2.497 + t^2.715 + 2*t^3.067 + t^3.503 + t^3.855 + t^4.022 + t^4.073 + 2*t^4.29 + t^4.374 + t^4.425 + t^4.508 + t^4.559 + t^4.642 + 2*t^4.726 + t^4.777 + 2*t^4.86 + 2*t^4.995 + 3*t^5.078 + t^5.212 + 2*t^5.347 + 2*t^5.43 + t^5.514 + t^5.564 + 3*t^5.782 + t^5.866 - 2*t^6. - t^4.358/y - t^4.358*y | detail |