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 |
---|---|---|---|---|---|---|---|---|---|
56711 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7472 | 0.9679 | 0.772 | [M:[0.9858, 0.9858, 1.1174, 0.6761, 0.7794, 0.6761, 0.7794, 0.6761], q:[0.5729, 0.4413], qb:[0.4413, 0.7794], phi:[0.4413]] | [M:[[1, -7], [-1, -11], [0, 4], [0, 6], [1, 3], [-2, 2], [-1, -1], [2, 10]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{5}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{8}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$ | ${}$ | -4 | 3*t^2.028 + 2*t^2.338 + t^2.648 + 2*t^2.957 + t^3.352 + 7*t^4.057 + 8*t^4.366 + 6*t^4.676 + t^4.761 + 8*t^4.986 + 5*t^5.296 + 3*t^5.381 + 2*t^5.69 + 3*t^5.915 - 4*t^6. + 13*t^6.085 + 18*t^6.395 - t^6.619 + 19*t^6.704 + 3*t^6.79 - 2*t^6.929 + 22*t^7.014 + 2*t^7.099 + 15*t^7.324 + 7*t^7.409 + 6*t^7.634 + 6*t^7.719 + 9*t^7.943 - 13*t^8.028 + 22*t^8.113 + 6*t^8.253 - 12*t^8.338 + 32*t^8.423 - 7*t^8.648 + 38*t^8.733 + 7*t^8.818 + 4*t^8.872 - 18*t^8.957 - t^4.324/y - (3*t^6.352)/y - (2*t^6.662)/y + (3*t^7.057)/y - (2*t^7.281)/y + (8*t^7.366)/y + (4*t^7.676)/y + (10*t^7.986)/y + (7*t^8.296)/y - (3*t^8.381)/y + (2*t^8.605)/y - (4*t^8.69)/y + t^8.915/y - t^4.324*y - 3*t^6.352*y - 2*t^6.662*y + 3*t^7.057*y - 2*t^7.281*y + 8*t^7.366*y + 4*t^7.676*y + 10*t^7.986*y + 7*t^8.296*y - 3*t^8.381*y + 2*t^8.605*y - 4*t^8.69*y + t^8.915*y | (g2^2*t^2.028)/g1^2 + g2^6*t^2.028 + g1^2*g2^10*t^2.028 + t^2.338/(g1*g2) + g1*g2^3*t^2.338 + t^2.648/g2^4 + t^2.957/(g1*g2^11) + (g1*t^2.957)/g2^7 + g2^4*t^3.352 + (g2^4*t^4.057)/g1^4 + (g2^8*t^4.057)/g1^2 + 3*g2^12*t^4.057 + g1^2*g2^16*t^4.057 + g1^4*g2^20*t^4.057 + (g2*t^4.366)/g1^3 + (3*g2^5*t^4.366)/g1 + 3*g1*g2^9*t^4.366 + g1^3*g2^13*t^4.366 + (2*t^4.676)/(g1^2*g2^2) + 2*g2^2*t^4.676 + 2*g1^2*g2^6*t^4.676 + g2^20*t^4.761 + t^4.986/(g1^3*g2^9) + (3*t^4.986)/(g1*g2^5) + (3*g1*t^4.986)/g2 + g1^3*g2^3*t^4.986 + t^5.296/(g1^2*g2^12) + (3*t^5.296)/g2^8 + (g1^2*t^5.296)/g2^4 + (g2^6*t^5.381)/g1^2 + g2^10*t^5.381 + g1^2*g2^14*t^5.381 + (g2^3*t^5.69)/g1 + g1*g2^7*t^5.69 + t^5.915/(g1^2*g2^22) + t^5.915/g2^18 + (g1^2*t^5.915)/g2^14 - 2*t^6. - t^6./(g1^2*g2^4) - g1^2*g2^4*t^6. + (g2^6*t^6.085)/g1^6 + (g2^10*t^6.085)/g1^4 + (3*g2^14*t^6.085)/g1^2 + 3*g2^18*t^6.085 + 3*g1^2*g2^22*t^6.085 + g1^4*g2^26*t^6.085 + g1^6*g2^30*t^6.085 + (g2^3*t^6.395)/g1^5 + (3*g2^7*t^6.395)/g1^3 + (5*g2^11*t^6.395)/g1 + 5*g1*g2^15*t^6.395 + 3*g1^3*g2^19*t^6.395 + g1^5*g2^23*t^6.395 - t^6.619/g2^10 + (2*t^6.704)/g1^4 + (4*g2^4*t^6.704)/g1^2 + 7*g2^8*t^6.704 + 4*g1^2*g2^12*t^6.704 + 2*g1^4*g2^16*t^6.704 + (g2^22*t^6.79)/g1^2 + g2^26*t^6.79 + g1^2*g2^30*t^6.79 - t^6.929/(g1*g2^17) - (g1*t^6.929)/g2^13 + t^7.014/(g1^5*g2^7) + (4*t^7.014)/(g1^3*g2^3) + (6*g2*t^7.014)/g1 + 6*g1*g2^5*t^7.014 + 4*g1^3*g2^9*t^7.014 + g1^5*g2^13*t^7.014 + (g2^19*t^7.099)/g1 + g1*g2^23*t^7.099 + t^7.324/(g1^4*g2^10) + (4*t^7.324)/(g1^2*g2^6) + (5*t^7.324)/g2^2 + 4*g1^2*g2^2*t^7.324 + g1^4*g2^6*t^7.324 + (g2^8*t^7.409)/g1^4 + (g2^12*t^7.409)/g1^2 + 3*g2^16*t^7.409 + g1^2*g2^20*t^7.409 + g1^4*g2^24*t^7.409 + t^7.634/(g1^3*g2^13) + (2*t^7.634)/(g1*g2^9) + (2*g1*t^7.634)/g2^5 + (g1^3*t^7.634)/g2 + (g2^5*t^7.719)/g1^3 + (2*g2^9*t^7.719)/g1 + 2*g1*g2^13*t^7.719 + g1^3*g2^17*t^7.719 + t^7.943/(g1^4*g2^20) + (2*t^7.943)/(g1^2*g2^16) + (3*t^7.943)/g2^12 + (2*g1^2*t^7.943)/g2^8 + (g1^4*t^7.943)/g2^4 - t^8.028/(g1^4*g2^2) - (3*g2^2*t^8.028)/g1^2 - 5*g2^6*t^8.028 - 3*g1^2*g2^10*t^8.028 - g1^4*g2^14*t^8.028 + (g2^8*t^8.113)/g1^8 + (g2^12*t^8.113)/g1^6 + (3*g2^16*t^8.113)/g1^4 + (3*g2^20*t^8.113)/g1^2 + 6*g2^24*t^8.113 + 3*g1^2*g2^28*t^8.113 + 3*g1^4*g2^32*t^8.113 + g1^6*g2^36*t^8.113 + g1^8*g2^40*t^8.113 + t^8.253/(g1^3*g2^23) + (2*t^8.253)/(g1*g2^19) + (2*g1*t^8.253)/g2^15 + (g1^3*t^8.253)/g2^11 - t^8.338/(g1^3*g2^5) - (5*t^8.338)/(g1*g2) - 5*g1*g2^3*t^8.338 - g1^3*g2^7*t^8.338 + (g2^5*t^8.423)/g1^7 + (3*g2^9*t^8.423)/g1^5 + (5*g2^13*t^8.423)/g1^3 + (7*g2^17*t^8.423)/g1 + 7*g1*g2^21*t^8.423 + 5*g1^3*g2^25*t^8.423 + 3*g1^5*g2^29*t^8.423 + g1^7*g2^33*t^8.423 - 2*g1^2*t^8.648 - (2*t^8.648)/(g1^2*g2^8) - (3*t^8.648)/g2^4 + (2*g2^2*t^8.733)/g1^6 + (4*g2^6*t^8.733)/g1^4 + (9*g2^10*t^8.733)/g1^2 + 8*g2^14*t^8.733 + 9*g1^2*g2^18*t^8.733 + 4*g1^4*g2^22*t^8.733 + 2*g1^6*g2^26*t^8.733 + (g2^24*t^8.818)/g1^4 + (g2^28*t^8.818)/g1^2 + 3*g2^32*t^8.818 + g1^2*g2^36*t^8.818 + g1^4*g2^40*t^8.818 + t^8.872/(g1^3*g2^33) + t^8.872/(g1*g2^29) + (g1*t^8.872)/g2^25 + (g1^3*t^8.872)/g2^21 - (2*t^8.957)/(g1^3*g2^15) - (7*t^8.957)/(g1*g2^11) - (7*g1*t^8.957)/g2^7 - (2*g1^3*t^8.957)/g2^3 - t^4.324/(g2^2*y) - t^6.352/(g1^2*y) - (g2^4*t^6.352)/y - (g1^2*g2^8*t^6.352)/y - t^6.662/(g1*g2^3*y) - (g1*g2*t^6.662)/y + (g2^8*t^7.057)/(g1^2*y) + (g2^12*t^7.057)/y + (g1^2*g2^16*t^7.057)/y - t^7.281/(g1*g2^13*y) - (g1*t^7.281)/(g2^9*y) + (g2*t^7.366)/(g1^3*y) + (3*g2^5*t^7.366)/(g1*y) + (3*g1*g2^9*t^7.366)/y + (g1^3*g2^13*t^7.366)/y + t^7.676/(g1^2*g2^2*y) + (2*g2^2*t^7.676)/y + (g1^2*g2^6*t^7.676)/y + t^7.986/(g1^3*g2^9*y) + (4*t^7.986)/(g1*g2^5*y) + (4*g1*t^7.986)/(g2*y) + (g1^3*g2^3*t^7.986)/y + (2*t^8.296)/(g1^2*g2^12*y) + (3*t^8.296)/(g2^8*y) + (2*g1^2*t^8.296)/(g2^4*y) - (g2^2*t^8.381)/(g1^4*y) - (g2^10*t^8.381)/y - (g1^4*g2^18*t^8.381)/y + t^8.605/(g1*g2^15*y) + (g1*t^8.605)/(g2^11*y) - t^8.69/(g1^3*g2*y) - (g2^3*t^8.69)/(g1*y) - (g1*g2^7*t^8.69)/y - (g1^3*g2^11*t^8.69)/y + t^8.915/(g2^18*y) - (t^4.324*y)/g2^2 - (t^6.352*y)/g1^2 - g2^4*t^6.352*y - g1^2*g2^8*t^6.352*y - (t^6.662*y)/(g1*g2^3) - g1*g2*t^6.662*y + (g2^8*t^7.057*y)/g1^2 + g2^12*t^7.057*y + g1^2*g2^16*t^7.057*y - (t^7.281*y)/(g1*g2^13) - (g1*t^7.281*y)/g2^9 + (g2*t^7.366*y)/g1^3 + (3*g2^5*t^7.366*y)/g1 + 3*g1*g2^9*t^7.366*y + g1^3*g2^13*t^7.366*y + (t^7.676*y)/(g1^2*g2^2) + 2*g2^2*t^7.676*y + g1^2*g2^6*t^7.676*y + (t^7.986*y)/(g1^3*g2^9) + (4*t^7.986*y)/(g1*g2^5) + (4*g1*t^7.986*y)/g2 + g1^3*g2^3*t^7.986*y + (2*t^8.296*y)/(g1^2*g2^12) + (3*t^8.296*y)/g2^8 + (2*g1^2*t^8.296*y)/g2^4 - (g2^2*t^8.381*y)/g1^4 - g2^10*t^8.381*y - g1^4*g2^18*t^8.381*y + (t^8.605*y)/(g1*g2^15) + (g1*t^8.605*y)/g2^11 - (t^8.69*y)/(g1^3*g2) - (g2^3*t^8.69*y)/g1 - g1*g2^7*t^8.69*y - g1^3*g2^11*t^8.69*y + (t^8.915*y)/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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
55087 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7264 | 0.927 | 0.7837 | [M:[0.986, 0.9825, 1.1181, 0.6772, 0.7813, 0.6737, 0.7778], q:[0.5748, 0.4392], qb:[0.4427, 0.7795], phi:[0.4409]] | t^2.021 + t^2.032 + t^2.333 + t^2.344 + t^2.646 + t^2.948 + t^2.958 + t^3.354 + t^3.958 + t^4.042 + t^4.053 + 2*t^4.063 + t^4.355 + 3*t^4.365 + 2*t^4.375 + 2*t^4.667 + 2*t^4.677 + t^4.688 + t^4.772 + t^4.969 + 3*t^4.979 + 2*t^4.989 + t^5.281 + 3*t^5.291 + t^5.302 + t^5.376 + t^5.386 + t^5.688 + t^5.698 + t^5.895 + t^5.905 + t^5.916 + t^5.979 - 2*t^6. - t^4.323/y - t^4.323*y | detail |