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 |
---|---|---|---|---|---|---|---|---|---|
47946 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4949 | 1.7246 | 0.8668 | [M:[0.6737], q:[0.4984, 0.4969], qb:[0.5023, 0.493], phi:[0.3349]] | [M:[[1, 11, -5]], q:[[-1, -12, 0], [1, 0, 0]], qb:[[0, 6, 0], [0, 0, 6]], phi:[[0, 1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{5}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.009 + t^2.021 + t^2.97 + t^2.974 + t^2.998 + t^3.002 + t^3.014 + t^3.974 + t^4.002 + t^4.007 + t^4.019 + t^4.03 + t^4.042 + 2*t^4.979 + 2*t^4.984 + t^4.991 + t^4.995 + 2*t^5.007 + 2*t^5.012 + t^5.019 + 2*t^5.023 + t^5.035 + t^5.47 + t^5.481 + t^5.486 + t^5.498 + t^5.939 + t^5.944 + t^5.949 + t^5.967 + t^5.972 + t^5.977 + 2*t^5.984 + t^5.988 + t^5.995 - 3*t^6. + 2*t^6.012 + 2*t^6.016 + t^6.023 + 2*t^6.028 + t^6.04 + t^6.051 + t^6.063 + t^6.474 + t^6.486 + t^6.491 + t^6.502 + t^6.944 + t^6.949 + 2*t^6.972 + 2*t^6.977 + t^6.981 + 3*t^6.988 + 2*t^6.993 + 2*t^7. + t^7.005 + t^7.012 + 4*t^7.016 + 3*t^7.021 + 2*t^7.028 + 2*t^7.033 + t^7.04 + 2*t^7.044 + t^7.056 + t^7.451 + t^7.479 + t^7.486 + 2*t^7.491 + t^7.495 + t^7.5 + t^7.502 + 2*t^7.507 + t^7.519 + t^7.535 + 3*t^7.949 + 3*t^7.953 + 2*t^7.958 + t^7.96 + 4*t^7.977 + 4*t^7.981 + 3*t^7.986 + t^7.988 + 3*t^7.993 + 2*t^7.998 + 3*t^8.005 - t^8.009 + t^8.014 + t^8.016 + 3*t^8.026 + 2*t^8.033 + 2*t^8.037 + t^8.045 + 2*t^8.049 + t^8.061 + t^8.073 + t^8.084 + t^8.439 + t^8.444 + t^8.451 + 2*t^8.455 + t^8.46 + t^8.467 + t^8.472 + 2*t^8.484 + 2*t^8.495 + t^8.5 + t^8.512 - t^8.516 - t^8.528 + t^8.909 + t^8.914 + t^8.918 + t^8.923 + t^8.937 + t^8.942 + t^8.946 + t^8.951 + 3*t^8.953 + 3*t^8.958 + t^8.963 + t^8.965 - 4*t^8.97 - 5*t^8.974 + 5*t^8.981 + 5*t^8.986 + 3*t^8.991 + 2*t^8.993 + t^8.998 - t^4.005/y - t^5.009/y - t^6.014/y - t^6.026/y - t^6.974/y - t^6.979/y - t^7.002/y - t^7.007/y - (2*t^7.019)/y + t^7.984/y + t^7.991/y + (2*t^7.995)/y + t^8.019/y - t^8.047/y + t^8.944/y + t^8.967/y + (2*t^8.972)/y + t^8.977/y - t^4.005*y - t^5.009*y - t^6.014*y - t^6.026*y - t^6.974*y - t^6.979*y - t^7.002*y - t^7.007*y - 2*t^7.019*y + t^7.984*y + t^7.991*y + 2*t^7.995*y + t^8.019*y - t^8.047*y + t^8.944*y + t^8.967*y + 2*t^8.972*y + t^8.977*y | (g2^2*t^2.009)/g3^2 + (g1*g2^11*t^2.021)/g3^5 + g1*g3^6*t^2.97 + (g3^6*t^2.974)/(g1*g2^12) + g1*g2^6*t^2.998 + t^3.002/(g1*g2^6) + (g2^3*t^3.014)/g3^3 + g1*g2*g3^5*t^3.974 + (g1*g2^7*t^4.002)/g3 + t^4.007/(g1*g2^5*g3) + (g2^4*t^4.019)/g3^4 + (g1*g2^13*t^4.03)/g3^7 + (g1^2*g2^22*t^4.042)/g3^10 + 2*g1*g2^2*g3^4*t^4.979 + (2*g3^4*t^4.984)/(g1*g2^10) + g1^2*g2^11*g3*t^4.991 + (g3*t^4.995)/g2 + (2*g1*g2^8*t^5.007)/g3^2 + (2*t^5.012)/(g1*g2^4*g3^2) + (g1^2*g2^17*t^5.019)/g3^5 + (2*g2^5*t^5.023)/g3^5 + (g1*g2^14*t^5.035)/g3^8 + g2^7*g3^11*t^5.47 + (g1*t^5.481)/(g2^11*g3) + t^5.486/(g1*g2^23*g3) + g2^13*g3^5*t^5.498 + g1^2*g3^12*t^5.939 + (g3^12*t^5.944)/g2^12 + (g3^12*t^5.949)/(g1^2*g2^24) + g1^2*g2^6*g3^6*t^5.967 + (g3^6*t^5.972)/g2^6 + (g3^6*t^5.977)/(g1^2*g2^18) + 2*g1*g2^3*g3^3*t^5.984 + (g3^3*t^5.988)/(g1*g2^9) + g1^2*g2^12*t^5.995 - 3*t^6. + (2*g1*g2^9*t^6.012)/g3^3 + (2*t^6.016)/(g1*g2^3*g3^3) + (g1^2*g2^18*t^6.023)/g3^6 + (2*g2^6*t^6.028)/g3^6 + (g1*g2^15*t^6.04)/g3^9 + (g1^2*g2^24*t^6.051)/g3^12 + (g1^3*g2^33*t^6.063)/g3^15 + g2^8*g3^10*t^6.474 + (g1*t^6.486)/(g2^10*g3^2) + t^6.491/(g1*g2^22*g3^2) + g2^14*g3^4*t^6.502 + g1^2*g2*g3^11*t^6.944 + (g3^11*t^6.949)/g2^11 + 2*g1^2*g2^7*g3^5*t^6.972 + (2*g3^5*t^6.977)/g2^5 + (g3^5*t^6.981)/(g1^2*g2^17) + 3*g1*g2^4*g3^2*t^6.988 + (2*g3^2*t^6.993)/(g1*g2^8) + (2*g1^2*g2^13*t^7.)/g3 + (g2*t^7.005)/g3 + (g1^3*g2^22*t^7.012)/g3^4 + (4*g1*g2^10*t^7.016)/g3^4 + (3*t^7.021)/(g1*g2^2*g3^4) + (2*g1^2*g2^19*t^7.028)/g3^7 + (2*g2^7*t^7.033)/g3^7 + (g1^3*g2^28*t^7.04)/g3^10 + (2*g1*g2^16*t^7.044)/g3^10 + (g1^2*g2^25*t^7.056)/g3^13 + g2^3*g3^15*t^7.451 - t^7.479/g2^18 + 2*g2^9*g3^9*t^7.479 + (g1^3*g2^3*t^7.486)/g3^3 + (2*g1*t^7.491)/(g2^9*g3^3) + (2*t^7.495)/(g1*g2^21*g3^3) - (g2^6*g3^6*t^7.495)/g1 + t^7.5/(g1^3*g2^33*g3^3) + (g1^2*t^7.502)/g3^6 + 2*g2^15*g3^3*t^7.507 + g1*g2^24*t^7.519 + (g2^21*t^7.535)/g3^3 + 3*g1^2*g2^2*g3^10*t^7.949 + (3*g3^10*t^7.953)/g2^10 + (2*g3^10*t^7.958)/(g1^2*g2^22) + g1^3*g2^11*g3^7*t^7.96 + 4*g1^2*g2^8*g3^4*t^7.977 + (4*g3^4*t^7.981)/g2^4 + (3*g3^4*t^7.986)/(g1^2*g2^16) + g1^3*g2^17*g3*t^7.988 + 3*g1*g2^5*g3*t^7.993 + (2*g3*t^7.998)/(g1*g2^7) + (3*g1^2*g2^14*t^8.005)/g3^2 - (g2^2*t^8.009)/g3^2 + t^8.014/(g1^2*g2^10*g3^2) + (g1^3*g2^23*t^8.016)/g3^5 + (3*t^8.026)/(g1*g2*g3^5) + (2*g1^2*g2^20*t^8.033)/g3^8 + (2*g2^8*t^8.037)/g3^8 + (g1^3*g2^29*t^8.045)/g3^11 + (2*g1*g2^17*t^8.049)/g3^11 + (g1^2*g2^26*t^8.061)/g3^14 + (g1^3*g2^35*t^8.073)/g3^17 + (g1^4*g2^44*t^8.084)/g3^20 + g1*g2^7*g3^17*t^8.439 + (g3^17*t^8.444)/(g1*g2^5) + (g1^2*g3^5*t^8.451)/g2^11 + (2*g3^5*t^8.455)/g2^23 + (g3^5*t^8.46)/(g1^2*g2^35) + g1*g2^13*g3^11*t^8.467 + (g2*g3^11*t^8.472)/g1 + 2*g2^10*g3^8*t^8.484 + (2*g1*t^8.495)/(g2^8*g3^4) + (2*t^8.5)/(g1*g2^20*g3^4) - (g2^7*g3^5*t^8.5)/g1 - t^8.512/(g2^11*g3^7) + 2*g2^16*g3^2*t^8.512 - t^8.516/(g1^2*g2^23*g3^7) - (g2^13*t^8.528)/(g1*g3) + g1^3*g3^18*t^8.909 + (g1*g3^18*t^8.914)/g2^12 + (g3^18*t^8.918)/(g1*g2^24) + (g3^18*t^8.923)/(g1^3*g2^36) + g1^3*g2^6*g3^12*t^8.937 + (g1*g3^12*t^8.942)/g2^6 + (g3^12*t^8.946)/(g1*g2^18) + (g3^12*t^8.951)/(g1^3*g2^30) + 3*g1^2*g2^3*g3^9*t^8.953 + (3*g3^9*t^8.958)/g2^9 + (g3^9*t^8.963)/(g1^2*g2^21) + g1^3*g2^12*g3^6*t^8.965 - 4*g1*g3^6*t^8.97 - (5*g3^6*t^8.974)/(g1*g2^12) + 5*g1^2*g2^9*g3^3*t^8.981 + (5*g3^3*t^8.986)/g2^3 + (3*g3^3*t^8.991)/(g1^2*g2^15) + 2*g1^3*g2^18*t^8.993 + g1*g2^6*t^8.998 - (g2*t^4.005)/(g3*y) - (g2^2*t^5.009)/(g3^2*y) - (g2^3*t^6.014)/(g3^3*y) - (g1*g2^12*t^6.026)/(g3^6*y) - (g1*g2*g3^5*t^6.974)/y - (g3^5*t^6.979)/(g1*g2^11*y) - (g1*g2^7*t^7.002)/(g3*y) - t^7.007/(g1*g2^5*g3*y) - (2*g2^4*t^7.019)/(g3^4*y) + (g3^4*t^7.984)/(g1*g2^10*y) + (g1^2*g2^11*g3*t^7.991)/y + (2*g3*t^7.995)/(g2*y) + (g1^2*g2^17*t^8.019)/(g3^5*y) - (g1^2*g2^23*t^8.047)/(g3^11*y) + (g3^12*t^8.944)/(g2^12*y) + (g1^2*g2^6*g3^6*t^8.967)/y + (2*g3^6*t^8.972)/(g2^6*y) + (g3^6*t^8.977)/(g1^2*g2^18*y) - (g2*t^4.005*y)/g3 - (g2^2*t^5.009*y)/g3^2 - (g2^3*t^6.014*y)/g3^3 - (g1*g2^12*t^6.026*y)/g3^6 - g1*g2*g3^5*t^6.974*y - (g3^5*t^6.979*y)/(g1*g2^11) - (g1*g2^7*t^7.002*y)/g3 - (t^7.007*y)/(g1*g2^5*g3) - (2*g2^4*t^7.019*y)/g3^4 + (g3^4*t^7.984*y)/(g1*g2^10) + g1^2*g2^11*g3*t^7.991*y + (2*g3*t^7.995*y)/g2 + (g1^2*g2^17*t^8.019*y)/g3^5 - (g1^2*g2^23*t^8.047*y)/g3^11 + (g3^12*t^8.944*y)/g2^12 + g1^2*g2^6*g3^6*t^8.967*y + (2*g3^6*t^8.972*y)/g2^6 + (g3^6*t^8.977*y)/(g1^2*g2^18) |
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 |
---|---|---|---|---|---|---|---|---|
57728 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.1613 | 1.3662 | 0.85 | [X:[1.594], M:[1.1879], q:[0.2239, 0.5394], qb:[0.6183, 0.1822], phi:[0.406]] | t^2.16 + t^2.44 + t^2.53 + t^3.38 + t^3.47 + t^3.56 + 2*t^3.65 + t^3.74 + t^4.17 + t^4.18 + t^4.33 + 2*t^4.6 + t^4.69 + t^4.78 + t^4.87 + 2*t^4.96 + t^5.13 + t^5.29 + t^5.38 + t^5.4 + t^5.47 + t^5.55 + t^5.64 + t^5.67 + t^5.73 + 3*t^5.82 + 3*t^5.91 - 3*t^6. - t^4.22/y - t^5.44/y - t^4.22*y - t^5.44*y | detail | |
57733 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4299 | 1.6663 | 0.8581 | [X:[], M:[0.8964], q:[0.3877, 0.5019], qb:[0.5552, 0.348], phi:[0.3679]] | 2*t^2.21 + t^2.55 + t^2.69 + t^2.83 + t^3.17 + t^3.31 + t^3.65 + t^3.93 + t^4.27 + 4*t^4.41 + 3*t^4.76 + t^4.86 + 2*t^4.9 + t^4.94 + 3*t^5.04 + t^5.1 + t^5.24 + t^5.28 + 4*t^5.38 + t^5.48 + 3*t^5.52 + t^5.72 + 4*t^5.86 + t^5.96 - 2*t^6. - t^4.1/y - t^5.21/y - t^4.1*y - t^5.21*y | detail | |
57732 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4351 | 1.6621 | 0.8634 | [X:[], M:[0.8773], q:[0.3567, 0.6022], qb:[0.5205, 0.4151], phi:[0.3509]] | t^2.11 + t^2.32 + 2*t^2.63 + t^3.05 + t^3.16 + t^3.37 + t^3.68 + t^4.1 + t^4.21 + 3*t^4.42 + t^4.63 + 3*t^4.74 + 2*t^4.95 + t^5. + t^5.1 + 2*t^5.16 + 3*t^5.26 + t^5.37 + t^5.42 + 3*t^5.47 + 2*t^5.68 + t^5.74 + 3*t^5.79 - t^6. - t^4.05/y - t^5.11/y - t^4.05*y - t^5.11*y | detail | |
57731 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4024 | 1.5963 | 0.8785 | [X:[1.3532], M:[0.7786], q:[0.3662, 0.6896], qb:[0.4721, 0.5317], phi:[0.3234]] | t^2.34 + t^2.51 + t^2.69 + t^2.91 + 2*t^3.49 + t^3.66 + t^4.06 + 2*t^4.46 + 2*t^4.63 + t^4.67 + t^4.85 + t^5.03 + t^5.21 + t^5.24 + t^5.25 + t^5.39 + t^5.4 + 2*t^5.43 + t^5.58 + 2*t^5.6 + 2*t^5.82 - 2*t^6. - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y | detail | |
57729 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.3423 | 1.5531 | 0.8642 | [X:[1.3749], M:[1.0], q:[0.3123, 0.5632], qb:[0.5623, 0.3128], phi:[0.3749]] | t^2.25 + t^2.62 + t^2.63 + t^3. + t^3.37 + t^3.38 + 2*t^3.75 + 2*t^4.12 + 2*t^4.5 + 2*t^4.69 + 2*t^4.87 + 2*t^4.88 + t^5.25 + t^5.26 + 2*t^5.44 + 2*t^5.62 + 3*t^5.63 + 2*t^5.81 + 3*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*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 |
---|---|---|---|---|---|---|---|---|---|
47867 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ | 1.4741 | 1.6835 | 0.8756 | [q:[0.4973, 0.4973], qb:[0.5027, 0.4919], phi:[0.3351]] | t^2.011 + 2*t^2.967 + 2*t^3. + t^3.016 + 2*t^3.973 + 2*t^4.005 + t^4.022 + 4*t^4.978 + 4*t^5.011 + t^5.027 + t^5.465 + 2*t^5.481 + t^5.497 + 3*t^5.935 + 3*t^5.967 + 4*t^5.984 - 3*t^6. - t^4.005/y - t^5.011/y - t^4.005*y - t^5.011*y | detail |