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 |
---|---|---|---|---|---|---|---|---|---|
3482 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{8}$ | 0.6727 | 0.8545 | 0.7872 | [M:[0.7831, 1.2306, 0.7556, 0.8459, 0.6928, 1.1541, 0.7066, 0.8459], q:[0.7625, 0.4544], qb:[0.3916, 0.8528], phi:[0.3847]] | [M:[[8, 0], [-2, 2], [-4, -4], [-3, 3], [7, -7], [3, -3], [13, -5], [-3, 3]], q:[[-1, -3], [-7, 3]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$ | ${}$ | -3 | t^2.079 + t^2.12 + t^2.267 + t^2.349 + 2*t^2.538 + t^3.503 + 2*t^3.692 + t^4.157 + t^4.198 + t^4.24 + t^4.345 + t^4.387 + t^4.428 + t^4.469 + t^4.534 + 3*t^4.616 + 2*t^4.658 + t^4.699 + 2*t^4.805 + t^4.846 + 2*t^4.887 + 3*t^5.076 + t^5.582 + t^5.623 + 2*t^5.77 + t^5.812 + t^5.853 + t^5.959 - 3*t^6. + 3*t^6.041 - t^6.188 + 3*t^6.23 + t^6.236 + t^6.277 + t^6.318 + t^6.359 + t^6.424 + t^6.465 + 2*t^6.506 + t^6.548 + t^6.589 + t^6.612 + t^6.654 + 3*t^6.695 + 3*t^6.736 + 3*t^6.777 + t^6.801 + t^6.819 + 3*t^6.883 + 2*t^6.924 + 3*t^6.966 + 3*t^7.007 + t^7.048 + 2*t^7.072 + 2*t^7.154 + 4*t^7.195 + 2*t^7.237 + t^7.342 + t^7.384 + 2*t^7.425 - t^7.572 + 3*t^7.613 + t^7.661 + t^7.702 + t^7.743 + 2*t^7.849 + t^7.89 + 2*t^7.931 + t^7.973 + t^8.037 - 3*t^8.079 + 2*t^8.161 + t^8.202 + t^8.226 - 4*t^8.267 + 2*t^8.308 + t^8.314 - 2*t^8.349 + t^8.355 + 3*t^8.391 + t^8.397 + t^8.438 - t^8.455 + t^8.479 + t^8.502 - 7*t^8.538 + t^8.544 + 3*t^8.579 + 2*t^8.585 + 2*t^8.626 + t^8.668 + t^8.691 + t^8.709 - 3*t^8.726 + t^8.732 + 3*t^8.767 + 4*t^8.773 + 3*t^8.815 + 4*t^8.856 + t^8.879 + 3*t^8.897 + t^8.92 + t^8.938 + 3*t^8.962 - t^4.154/y - t^6.233/y - t^6.274/y - t^6.421/y - t^6.503/y - t^6.692/y + t^7.198/y + t^7.345/y + t^7.387/y + t^7.428/y + t^7.469/y + (4*t^7.616)/y + (2*t^7.658)/y + (3*t^7.805)/y + (3*t^7.887)/y + t^8.034/y + (2*t^8.076)/y - t^8.311/y - t^8.352/y - t^8.394/y - t^8.499/y - t^8.541/y - t^8.688/y + t^8.77/y + t^8.812/y + t^8.959/y - t^4.154*y - t^6.233*y - t^6.274*y - t^6.421*y - t^6.503*y - t^6.692*y + t^7.198*y + t^7.345*y + t^7.387*y + t^7.428*y + t^7.469*y + 4*t^7.616*y + 2*t^7.658*y + 3*t^7.805*y + 3*t^7.887*y + t^8.034*y + 2*t^8.076*y - t^8.311*y - t^8.352*y - t^8.394*y - t^8.499*y - t^8.541*y - t^8.688*y + t^8.77*y + t^8.812*y + t^8.959*y | (g1^7*t^2.079)/g2^7 + (g1^13*t^2.12)/g2^5 + t^2.267/(g1^4*g2^4) + g1^8*t^2.349 + (2*g2^3*t^2.538)/g1^3 + (g1^9*t^3.503)/g2 + (2*g2^2*t^3.692)/g1^2 + (g1^14*t^4.157)/g2^14 + (g1^20*t^4.198)/g2^12 + (g1^26*t^4.24)/g2^10 + (g1^3*t^4.345)/g2^11 + (g1^9*t^4.387)/g2^9 + (g1^15*t^4.428)/g2^7 + (g1^21*t^4.469)/g2^5 + t^4.534/(g1^8*g2^8) + (3*g1^4*t^4.616)/g2^4 + (2*g1^10*t^4.658)/g2^2 + g1^16*t^4.699 + (2*t^4.805)/(g1^7*g2) + (g2*t^4.846)/g1 + 2*g1^5*g2^3*t^4.887 + (3*g2^6*t^5.076)/g1^6 + (g1^16*t^5.582)/g2^8 + (g1^22*t^5.623)/g2^6 + (2*g1^5*t^5.77)/g2^5 + (g1^11*t^5.812)/g2^3 + (g1^17*t^5.853)/g2 + t^5.959/(g1^6*g2^2) - 3*t^6. + 3*g1^6*g2^2*t^6.041 - (g2^3*t^6.188)/g1^11 + (3*g2^5*t^6.23)/g1^5 + (g1^21*t^6.236)/g2^21 + (g1^27*t^6.277)/g2^19 + (g1^33*t^6.318)/g2^17 + (g1^39*t^6.359)/g2^15 + (g1^10*t^6.424)/g2^18 + (g1^16*t^6.465)/g2^16 + (2*g1^22*t^6.506)/g2^14 + (g1^28*t^6.548)/g2^12 + (g1^34*t^6.589)/g2^10 + t^6.612/(g1*g2^15) + (g1^5*t^6.654)/g2^13 + (3*g1^11*t^6.695)/g2^11 + (3*g1^17*t^6.736)/g2^9 + (3*g1^23*t^6.777)/g2^7 + t^6.801/(g1^12*g2^12) + (g1^29*t^6.819)/g2^5 + (3*t^6.883)/g2^8 + (2*g1^6*t^6.924)/g2^6 + (3*g1^12*t^6.966)/g2^4 + (3*g1^18*t^7.007)/g2^2 + g1^24*t^7.048 + (2*t^7.072)/(g1^11*g2^5) + (2*g1*t^7.154)/g2 + 4*g1^7*g2*t^7.195 + 2*g1^13*g2^3*t^7.237 + (g2^2*t^7.342)/g1^10 + (g2^4*t^7.384)/g1^4 + 2*g1^2*g2^6*t^7.425 - (g2^7*t^7.572)/g1^15 + (3*g2^9*t^7.613)/g1^9 + (g1^23*t^7.661)/g2^15 + (g1^29*t^7.702)/g2^13 + (g1^35*t^7.743)/g2^11 + (2*g1^12*t^7.849)/g2^12 + (g1^18*t^7.89)/g2^10 + (2*g1^24*t^7.931)/g2^8 + (g1^30*t^7.973)/g2^6 + (g1*t^8.037)/g2^9 - (3*g1^7*t^8.079)/g2^7 + (2*g1^19*t^8.161)/g2^3 + (g1^25*t^8.202)/g2 + t^8.226/(g1^10*g2^6) - (4*t^8.267)/(g1^4*g2^4) + (2*g1^2*t^8.308)/g2^2 + (g1^28*t^8.314)/g2^28 - 2*g1^8*t^8.349 + (g1^34*t^8.355)/g2^26 + 3*g1^14*g2^2*t^8.391 + (g1^40*t^8.397)/g2^24 + (g1^46*t^8.438)/g2^22 - t^8.455/(g1^15*g2) + (g1^52*t^8.479)/g2^20 + (g1^17*t^8.502)/g2^25 - (7*g2^3*t^8.538)/g1^3 + (g1^23*t^8.544)/g2^23 + 3*g1^3*g2^5*t^8.579 + (2*g1^29*t^8.585)/g2^21 + (2*g1^35*t^8.626)/g2^19 + (g1^41*t^8.668)/g2^17 + (g1^6*t^8.691)/g2^22 + (g1^47*t^8.709)/g2^15 - (3*g2^6*t^8.726)/g1^14 + (g1^12*t^8.732)/g2^20 + (3*g2^8*t^8.767)/g1^8 + (4*g1^18*t^8.773)/g2^18 + (3*g1^24*t^8.815)/g2^16 + (4*g1^30*t^8.856)/g2^14 + t^8.879/(g1^5*g2^19) + (3*g1^36*t^8.897)/g2^12 + (g1*t^8.92)/g2^17 + (g1^42*t^8.938)/g2^10 + (3*g1^7*t^8.962)/g2^15 - (g1*t^4.154)/(g2*y) - (g1^8*t^6.233)/(g2^8*y) - (g1^14*t^6.274)/(g2^6*y) - t^6.421/(g1^3*g2^5*y) - (g1^9*t^6.503)/(g2*y) - (g2^2*t^6.692)/(g1^2*y) + (g1^20*t^7.198)/(g2^12*y) + (g1^3*t^7.345)/(g2^11*y) + (g1^9*t^7.387)/(g2^9*y) + (g1^15*t^7.428)/(g2^7*y) + (g1^21*t^7.469)/(g2^5*y) + (4*g1^4*t^7.616)/(g2^4*y) + (2*g1^10*t^7.658)/(g2^2*y) + (3*t^7.805)/(g1^7*g2*y) + (3*g1^5*g2^3*t^7.887)/y + (g2^4*t^8.034)/(g1^12*y) + (2*g2^6*t^8.076)/(g1^6*y) - (g1^15*t^8.311)/(g2^15*y) - (g1^21*t^8.352)/(g2^13*y) - (g1^27*t^8.394)/(g2^11*y) - (g1^4*t^8.499)/(g2^12*y) - (g1^10*t^8.541)/(g2^10*y) - t^8.688/(g1^7*g2^9*y) + (g1^5*t^8.77)/(g2^5*y) + (g1^11*t^8.812)/(g2^3*y) + t^8.959/(g1^6*g2^2*y) - (g1*t^4.154*y)/g2 - (g1^8*t^6.233*y)/g2^8 - (g1^14*t^6.274*y)/g2^6 - (t^6.421*y)/(g1^3*g2^5) - (g1^9*t^6.503*y)/g2 - (g2^2*t^6.692*y)/g1^2 + (g1^20*t^7.198*y)/g2^12 + (g1^3*t^7.345*y)/g2^11 + (g1^9*t^7.387*y)/g2^9 + (g1^15*t^7.428*y)/g2^7 + (g1^21*t^7.469*y)/g2^5 + (4*g1^4*t^7.616*y)/g2^4 + (2*g1^10*t^7.658*y)/g2^2 + (3*t^7.805*y)/(g1^7*g2) + 3*g1^5*g2^3*t^7.887*y + (g2^4*t^8.034*y)/g1^12 + (2*g2^6*t^8.076*y)/g1^6 - (g1^15*t^8.311*y)/g2^15 - (g1^21*t^8.352*y)/g2^13 - (g1^27*t^8.394*y)/g2^11 - (g1^4*t^8.499*y)/g2^12 - (g1^10*t^8.541*y)/g2^10 - (t^8.688*y)/(g1^7*g2^9) + (g1^5*t^8.77*y)/g2^5 + (g1^11*t^8.812*y)/g2^3 + (t^8.959*y)/(g1^6*g2^2) |
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 |
---|---|---|---|---|---|---|---|---|
5163 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}X_{1}$ | 0.5867 | 0.7237 | 0.8107 | [X:[1.4173], M:[1.0067, 1.2053, 0.5827, 0.808, 0.7813, 1.192, 0.9933, 0.808], q:[0.6887, 0.3047], qb:[0.5033, 0.914], phi:[0.3973]] | t^2.344 + 2*t^2.424 + t^2.98 + t^3.02 + 2*t^3.616 + t^4.212 + t^4.252 + t^4.688 + 2*t^4.768 + t^4.808 + 3*t^4.848 + t^5.324 + t^5.404 + 2*t^5.444 + 2*t^5.96 - 2*t^6. - t^4.192/y - t^4.192*y | detail | |
5161 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{5}M_{7}$ | 0.5958 | 0.7559 | 0.7882 | [M:[0.8779, 1.1463, 0.8294, 0.7195, 0.9879, 1.2805, 1.0121, 0.7195], q:[0.8416, 0.2805], qb:[0.439, 0.7316], phi:[0.4268]] | 2*t^2.158 + t^2.488 + t^2.634 + t^2.964 + t^3.036 + 2*t^3.439 + t^3.914 + 3*t^4.317 + 2*t^4.647 + t^4.719 + 2*t^4.792 + t^4.977 + 3*t^5.122 + 2*t^5.195 + t^5.268 + t^5.452 + 4*t^5.597 + t^5.67 + 2*t^5.927 - 2*t^6. - t^4.281/y - t^4.281*y | detail | |
5142 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6879 | 0.8801 | 0.7817 | [M:[0.8075, 1.2298, 0.7329, 0.8447, 0.6957, 1.1553, 0.7329, 0.8447, 0.8075], q:[0.7516, 0.441], qb:[0.4037, 0.8633], phi:[0.3851]] | t^2.087 + 2*t^2.199 + 2*t^2.422 + 2*t^2.534 + 2*t^3.689 + t^4.174 + 2*t^4.286 + 3*t^4.398 + 2*t^4.509 + 6*t^4.621 + 4*t^4.733 + 4*t^4.845 + 4*t^4.957 + 3*t^5.068 + t^5.776 + 2*t^5.888 - 3*t^6. - t^4.155/y - t^4.155*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 |
---|---|---|---|---|---|---|---|---|---|
2900 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6596 | 0.8332 | 0.7916 | [M:[0.7847, 1.2363, 0.7427, 0.8544, 0.673, 1.1456, 0.6939], q:[0.7532, 0.4621], qb:[0.3923, 0.8649], phi:[0.3819]] | t^2.019 + t^2.082 + t^2.228 + t^2.354 + t^2.563 + t^3.437 + t^3.5 + 2*t^3.709 + t^4.038 + t^4.101 + t^4.164 + t^4.247 + t^4.31 + t^4.373 + t^4.436 + t^4.456 + 2*t^4.582 + t^4.645 + t^4.708 + t^4.792 + t^4.854 + t^4.917 + t^5.127 + t^5.456 + 2*t^5.518 + t^5.581 + t^5.665 + 2*t^5.728 + 2*t^5.791 + t^5.854 + t^5.937 - 2*t^6. - t^4.146/y - t^4.146*y | detail |