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 |
---|---|---|---|---|---|---|---|---|---|
1278 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.7033 | 0.8629 | 0.815 | [M:[0.964, 0.9281, 1.0, 1.0719, 0.964, 0.9281], q:[0.5899, 0.446], qb:[0.482, 0.554], phi:[0.482]] | [M:[[-2], [-4], [0], [4], [-2], [-4]], q:[[5], [-3]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -3 | 2*t^2.784 + 3*t^2.892 + t^3. + t^3.432 + t^4.122 + t^4.23 + t^4.338 + t^4.446 + 2*t^4.554 + t^4.662 + t^4.77 + t^4.878 + t^4.986 + 2*t^5.568 + 4*t^5.676 + 7*t^5.784 + t^5.892 - 3*t^6. - 2*t^6.108 + t^6.324 + t^6.863 + 2*t^6.906 + 4*t^7.014 + 4*t^7.122 + 3*t^7.23 + 3*t^7.338 + 4*t^7.446 + 3*t^7.554 + t^7.662 + 2*t^7.77 + 2*t^7.878 - t^8.094 + t^8.201 + t^8.245 + t^8.309 + 3*t^8.353 + t^8.417 + 4*t^8.46 + 9*t^8.568 + 12*t^8.676 - 3*t^8.784 - 9*t^8.892 - t^4.446/y - t^7.23/y - (3*t^7.338)/y + (3*t^7.554)/y + t^7.662/y + t^8.568/y + (6*t^8.676)/y + (5*t^8.784)/y + (3*t^8.892)/y - t^4.446*y - t^7.23*y - 3*t^7.338*y + 3*t^7.554*y + t^7.662*y + t^8.568*y + 6*t^8.676*y + 5*t^8.784*y + 3*t^8.892*y | (2*t^2.784)/g1^4 + (3*t^2.892)/g1^2 + t^3. + g1^8*t^3.432 + t^4.122/g1^7 + t^4.23/g1^5 + t^4.338/g1^3 + t^4.446/g1 + 2*g1*t^4.554 + g1^3*t^4.662 + g1^5*t^4.77 + g1^7*t^4.878 + g1^9*t^4.986 + (2*t^5.568)/g1^8 + (4*t^5.676)/g1^6 + (7*t^5.784)/g1^4 + t^5.892/g1^2 - 3*t^6. - 2*g1^2*t^6.108 + g1^6*t^6.324 + g1^16*t^6.863 + (2*t^6.906)/g1^11 + (4*t^7.014)/g1^9 + (4*t^7.122)/g1^7 + (3*t^7.23)/g1^5 + (3*t^7.338)/g1^3 + (4*t^7.446)/g1 + 3*g1*t^7.554 + g1^3*t^7.662 + 2*g1^5*t^7.77 + 2*g1^7*t^7.878 - g1^11*t^8.094 + g1^13*t^8.201 + t^8.245/g1^14 + g1^15*t^8.309 + (3*t^8.353)/g1^12 + g1^17*t^8.417 + (4*t^8.46)/g1^10 + (9*t^8.568)/g1^8 + (12*t^8.676)/g1^6 - (3*t^8.784)/g1^4 - (9*t^8.892)/g1^2 - t^4.446/(g1*y) - t^7.23/(g1^5*y) - (3*t^7.338)/(g1^3*y) + (3*g1*t^7.554)/y + (g1^3*t^7.662)/y + t^8.568/(g1^8*y) + (6*t^8.676)/(g1^6*y) + (5*t^8.784)/(g1^4*y) + (3*t^8.892)/(g1^2*y) - (t^4.446*y)/g1 - (t^7.23*y)/g1^5 - (3*t^7.338*y)/g1^3 + 3*g1*t^7.554*y + g1^3*t^7.662*y + (t^8.568*y)/g1^8 + (6*t^8.676*y)/g1^6 + (5*t^8.784*y)/g1^4 + (3*t^8.892*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
2326 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6079 | 0.7775 | 0.7818 | [M:[0.8571, 0.7143, 1.0, 1.2857, 0.8571, 0.7143], q:[0.8571, 0.2857], qb:[0.4286, 0.7143], phi:[0.4286]] | 2*t^2.143 + 3*t^2.571 + 2*t^3. + t^3.429 + t^3.857 + 3*t^4.286 + 7*t^4.714 + 10*t^5.143 + 6*t^5.571 + 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 417/686, c: 4267/5488, M1: 6/7, M2: 5/7, M3: 1, M4: 9/7, M5: 6/7, M6: 5/7, q1: 6/7, q2: 2/7, qb1: 3/7, qb2: 5/7, phi1: 3/7} |
2327 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6551 | 0.8218 | 0.7972 | [M:[0.8889, 0.7778, 1.0, 1.2222, 0.8889, 0.7778], q:[0.7778, 0.3333], qb:[0.4444, 0.6667], phi:[0.4444]] | 2*t^2.333 + 3*t^2.667 + t^3. + t^3.333 + t^3.667 + t^4. + 2*t^4.333 + 4*t^4.667 + 5*t^5. + 8*t^5.333 + 4*t^5.667 + 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 283/432, c: 355/432, M1: 8/9, M2: 7/9, M3: 1, M4: 11/9, M5: 8/9, M6: 7/9, q1: 7/9, q2: 1/3, qb1: 4/9, qb2: 2/3, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
799 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6976 | 0.853 | 0.8178 | [M:[0.9741, 0.9483, 1.0, 1.0517, 0.9741], q:[0.5647, 0.4612], qb:[0.4871, 0.5388], phi:[0.4871]] | t^2.845 + 3*t^2.922 + t^3. + t^3.155 + t^3.31 + t^4.228 + t^4.306 + t^4.384 + t^4.461 + 2*t^4.539 + t^4.616 + t^4.694 + t^4.772 + t^4.849 + t^5.767 + 6*t^5.845 + t^5.922 - 2*t^6. - t^4.461/y - t^4.461*y | detail |