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 |
---|---|---|---|---|---|---|---|---|---|
57607 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4405 | 1.6225 | 0.8878 | [X:[1.345], M:[1.0176], q:[0.5267, 0.5729], qb:[0.4733, 0.4622], phi:[0.3275]] | [X:[[0, 2]], M:[[0, 3]], q:[[2, -11], [-1, 6]], qb:[[-2, 11], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.97 + t^3. + t^3.05 + t^3.11 + t^3.14 + t^3.95 + t^3.98 + t^4.04 + t^4.09 + t^4.12 + t^4.93 + t^4.96 + t^5.07 + t^5.1 + t^5.18 + t^5.21 + t^5.93 - 2*t^6. + t^6.02 - t^6.03 + t^6.05 + t^6.07 + 3*t^6.11 + 2*t^6.16 + 2*t^6.19 + t^6.21 + t^6.24 + t^6.28 + t^6.92 + t^6.95 - t^6.98 + 2*t^7. - t^7.02 + 2*t^7.04 + 2*t^7.05 + 4*t^7.09 + t^7.11 + t^7.12 + 3*t^7.14 + 3*t^7.17 + t^7.19 + t^7.21 + t^7.23 + t^7.26 + t^7.69 - t^7.88 + 2*t^7.9 - t^7.91 + 2*t^7.93 + t^7.96 + t^7.98 - t^8. + t^8.02 + 2*t^8.04 + 4*t^8.07 + 2*t^8.1 + t^8.12 + t^8.14 + t^8.16 + 3*t^8.18 + 2*t^8.21 + t^8.23 + t^8.24 + t^8.26 + t^8.28 + 2*t^8.31 + t^8.35 - t^8.72 - t^8.76 - t^8.86 + t^8.88 - t^8.89 + t^8.9 + 2*t^8.91 + 2*t^8.95 - 3*t^8.97 + t^8.99 + t^8.95/y^2 - t^3.98/y - t^4.96/y - t^6.95/y - t^6.98/y - t^7.04/y - t^7.09/y - t^7.12/y - t^7.93/y - t^7.96/y - t^8.02/y - t^8.07/y - t^8.1/y - t^8.91/y - t^8.95/y + t^8.97/y - t^3.98*y - t^4.96*y - t^6.95*y - t^6.98*y - t^7.04*y - t^7.09*y - t^7.12*y - t^7.93*y - t^7.96*y - t^8.02*y - t^8.07*y - t^8.1*y - t^8.91*y - t^8.95*y + t^8.97*y + t^8.95*y^2 | (g1^3*t^2.97)/g2^11 + t^3. + g2^3*t^3.05 + g2^6*t^3.11 + (g2^17*t^3.14)/g1^3 + (g1^3*t^3.95)/g2^12 + t^3.98/g2 + g2^2*t^4.04 + g2^5*t^4.09 + (g2^16*t^4.12)/g1^3 + (g1^3*t^4.93)/g2^13 + t^4.96/g2^2 + g2^4*t^5.07 + (g2^15*t^5.1)/g1^3 + g2^10*t^5.18 + (g2^21*t^5.21)/g1^3 + (g1^6*t^5.93)/g2^22 - 2*t^6. + (g1^3*t^6.02)/g2^8 - (g2^11*t^6.03)/g1^3 + g2^3*t^6.05 + (g1^3*t^6.07)/g2^5 + 3*g2^6*t^6.11 + 2*g2^9*t^6.16 + (2*g2^20*t^6.19)/g1^3 + g2^12*t^6.21 + (g2^23*t^6.24)/g1^3 + (g2^34*t^6.28)/g1^6 + (g1^6*t^6.92)/g2^23 + (g1^3*t^6.95)/g2^12 - t^6.98/g2 + (2*g1^3*t^7.)/g2^9 - (g2^10*t^7.02)/g1^3 + 2*g2^2*t^7.04 + (2*g1^3*t^7.05)/g2^6 + 4*g2^5*t^7.09 + (g1^3*t^7.11)/g2^3 + (g2^16*t^7.12)/g1^3 + 3*g2^8*t^7.14 + (3*g2^19*t^7.17)/g1^3 + g2^11*t^7.19 + (g2^30*t^7.21)/g1^6 + (g2^22*t^7.23)/g1^3 + (g2^33*t^7.26)/g1^6 + (g1^6*t^7.69)/g2^36 - (g1^3*t^7.88)/g2^16 + (2*g1^6*t^7.9)/g2^24 - t^7.91/g2^5 + (2*g1^3*t^7.93)/g2^13 + t^7.96/g2^2 + (g1^3*t^7.98)/g2^10 - (g2^9*t^8.)/g1^3 + g2*t^8.02 + (2*g1^3*t^8.04)/g2^7 + 4*g2^4*t^8.07 + (2*g2^15*t^8.1)/g1^3 + g2^7*t^8.12 + (g1^3*t^8.14)/g2 + (g2^18*t^8.16)/g1^3 + 3*g2^10*t^8.18 + (2*g2^21*t^8.21)/g1^3 + g2^13*t^8.23 + (g2^32*t^8.24)/g1^6 + (g2^24*t^8.26)/g1^3 + g2^16*t^8.28 + (2*g2^27*t^8.31)/g1^3 + (g2^38*t^8.35)/g1^6 - (g1^6*t^8.72)/g2^34 - (g1^3*t^8.76)/g2^23 - (g1^3*t^8.86)/g2^17 + (g1^6*t^8.88)/g2^25 - t^8.89/g2^6 + (g1^9*t^8.9)/g2^33 + (2*g1^3*t^8.91)/g2^14 + (2*t^8.95)/g2^3 - (3*g1^3*t^8.97)/g2^11 + (g1^6*t^8.99)/g2^19 + t^8.95/(g2^3*y^2) - t^3.98/(g2*y) - t^4.96/(g2^2*y) - (g1^3*t^6.95)/(g2^12*y) - t^6.98/(g2*y) - (g2^2*t^7.04)/y - (g2^5*t^7.09)/y - (g2^16*t^7.12)/(g1^3*y) - (g1^3*t^7.93)/(g2^13*y) - t^7.96/(g2^2*y) - (g2*t^8.02)/y - (g2^4*t^8.07)/y - (g2^15*t^8.1)/(g1^3*y) - (g1^3*t^8.91)/(g2^14*y) - t^8.95/(g2^3*y) + (g1^3*t^8.97)/(g2^11*y) - (t^3.98*y)/g2 - (t^4.96*y)/g2^2 - (g1^3*t^6.95*y)/g2^12 - (t^6.98*y)/g2 - g2^2*t^7.04*y - g2^5*t^7.09*y - (g2^16*t^7.12*y)/g1^3 - (g1^3*t^7.93*y)/g2^13 - (t^7.96*y)/g2^2 - g2*t^8.02*y - g2^4*t^8.07*y - (g2^15*t^8.1*y)/g1^3 - (g1^3*t^8.91*y)/g2^14 - (t^8.95*y)/g2^3 + (g1^3*t^8.97*y)/g2^11 + (t^8.95*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
58764 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4613 | 1.663 | 0.8787 | [X:[1.3456], M:[1.0183, 0.6802], q:[0.5282, 0.5723], qb:[0.4718, 0.4644], phi:[0.3272]] | t^2.04 + t^2.98 + t^3. + t^3.06 + t^3.11 + t^3.13 + t^3.98 + t^4.04 + t^4.08 + t^4.09 + t^4.11 + t^4.94 + t^4.96 + t^5.02 + t^5.04 + t^5.07 + 2*t^5.1 + t^5.15 + t^5.17 + t^5.18 + t^5.21 + t^5.96 - 2*t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
58730 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.412 | 1.5682 | 0.9004 | [X:[1.4], M:[1.1], q:[0.5, 0.6], qb:[0.5, 0.6], phi:[0.3]] | t^3. + 3*t^3.3 + t^3.6 + t^3.9 + 3*t^4.2 + t^4.5 + t^4.8 + 2*t^5.1 + t^5.4 - t^6. - t^3.9/y - t^4.8/y - t^3.9*y - t^4.8*y | detail | {a: 45183/32000, c: 50183/32000, X1: 7/5, M1: 11/10, q1: 1/2, q2: 3/5, qb1: 1/2, qb2: 3/5, phi1: 3/10} |
58588 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.399 | 1.5577 | 0.8981 | [X:[1.3948], M:[1.0923], q:[0.4256, 0.6359], qb:[0.5744, 0.5486], phi:[0.3026]] | t^2.92 + t^3. + t^3.28 + t^3.55 + t^3.63 + t^3.83 + t^3.91 + t^4.18 + t^4.46 + t^4.54 + t^4.74 + t^4.82 + t^5.37 + t^5.45 + t^5.85 + t^5.92 - t^6. - t^3.91/y - t^4.82/y - t^3.91*y - t^4.82*y | detail | |
60694 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.3162 | 1.4954 | 0.8802 | [X:[1.3511], M:[1.0267], q:[0.3244, 0.6756], qb:[0.6756, 0.3778], phi:[0.3244]] | t^2.11 + t^3. + 2*t^3.08 + t^3.16 + t^3.97 + 3*t^4.05 + t^4.13 + t^4.21 + t^4.95 + t^5.03 + t^5.11 + 2*t^5.19 + 2*t^5.27 + t^5.84 - t^6. - t^3.97/y - t^4.95/y - t^3.97*y - t^4.95*y | detail | |
60091 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}$ | 0.8723 | 0.9098 | 0.9588 | [X:[1.6533], M:[1.48], q:[0.6356, 0.5955], qb:[0.3644, 1.3644], phi:[0.1733]] | t^2.88 + t^3.4 + t^3.92 + t^4.44 + t^4.84 + t^4.96 + t^5.76 - 2*t^6. - t^3.52/y - t^4.04/y - t^3.52*y - t^4.04*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
47928 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.4756 | 1.6901 | 0.8731 | [M:[0.9773], q:[0.5, 0.4773], qb:[0.5, 0.4773], phi:[0.3409]] | t^2.045 + t^2.864 + 3*t^2.932 + t^3. + t^3.886 + 2*t^3.955 + t^4.023 + t^4.091 + 2*t^4.909 + 5*t^4.977 + 2*t^5.045 + 2*t^5.386 + 2*t^5.455 + t^5.727 + 3*t^5.796 + 7*t^5.864 + 2*t^5.932 - t^6. - t^4.023/y - t^5.045/y - t^4.023*y - t^5.045*y | detail |