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 |
---|---|---|---|---|---|---|---|---|---|
47 | SU2adj1nf2 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ | 0.694 | 0.8536 | 0.813 | [M:[0.9459], q:[0.527, 0.527], qb:[0.473, 0.473], phi:[0.5]] | [M:[[0, 1, 1]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 6 | 2*t^2.838 + 5*t^3. + 3*t^4.338 + 4*t^4.5 + 3*t^4.662 + 3*t^5.675 + 6*t^5.838 + 6*t^6. - 4*t^6.162 + 6*t^7.175 + 12*t^7.338 + 8*t^7.5 + 4*t^7.662 + 4*t^8.513 + 12*t^8.675 + 6*t^8.838 - t^4.5/y - t^7.338/y + t^7.662/y + t^8.675/y + (10*t^8.838)/y - t^4.5*y - t^7.338*y + t^7.662*y + t^8.675*y + 10*t^8.838*y | 2*g2*g3*t^2.838 + t^3. + t^3./(g1*g2) + g1*g2*t^3. + t^3./(g1*g3) + g1*g3*t^3. + g2^2*t^4.338 + g2*g3*t^4.338 + g3^2*t^4.338 + t^4.5/(g1*g2) + g1*g2*t^4.5 + t^4.5/(g1*g3) + g1*g3*t^4.5 + g1^2*t^4.662 + t^4.662/(g1^2*g2^2*g3^2) + t^4.662/(g2*g3) + 3*g2^2*g3^2*t^5.675 + (g2*t^5.838)/g1 + (g3*t^5.838)/g1 + 2*g2*g3*t^5.838 + g1*g2^2*g3*t^5.838 + g1*g2*g3^2*t^5.838 - 2*t^6. + t^6./(g1^2*g2^2) + t^6./(g1*g2) + g1*g2*t^6. + g1^2*g2^2*t^6. + t^6./(g1^2*g3^2) + t^6./(g1*g3) + g1*g3*t^6. + g1^2*g3^2*t^6. - (g1*t^6.162)/g2 - t^6.162/(g1*g2*g3^2) - (g1*t^6.162)/g3 - t^6.162/(g1*g2^2*g3) + 2*g2^3*g3*t^7.175 + 2*g2^2*g3^2*t^7.175 + 2*g2*g3^3*t^7.175 + (2*g2*t^7.338)/g1 + g1*g2^3*t^7.338 + (g2^2*t^7.338)/(g1*g3) + (2*g3*t^7.338)/g1 + 2*g1*g2^2*g3*t^7.338 + (g3^2*t^7.338)/(g1*g2) + 2*g1*g2*g3^2*t^7.338 + g1*g3^3*t^7.338 + t^7.5/(g1^2*g2^2) + g1^2*g2^2*t^7.5 + t^7.5/(g1^2*g3^2) + (2*t^7.5)/(g1^2*g2*g3) + 2*g1^2*g2*g3*t^7.5 + g1^2*g3^2*t^7.5 + g1^3*g2*t^7.662 + t^7.662/(g1^3*g2^2*g3^3) + t^7.662/(g1^3*g2^3*g3^2) + g1^3*g3*t^7.662 + 4*g2^3*g3^3*t^8.513 + g2^4*t^8.675 + (g2^2*g3*t^8.675)/g1 + g2^3*g3*t^8.675 + (g2*g3^2*t^8.675)/g1 + 4*g2^2*g3^2*t^8.675 + g1*g2^3*g3^2*t^8.675 + g2*g3^3*t^8.675 + g1*g2^2*g3^3*t^8.675 + g3^4*t^8.675 + (2*g2*t^8.838)/g1 - 2*g2^2*t^8.838 + g1*g2^3*t^8.838 + (g2*t^8.838)/(g1^2*g3) + (g2^2*t^8.838)/(g1*g3) + (2*g3*t^8.838)/g1 + (g3*t^8.838)/(g1^2*g2) - 6*g2*g3*t^8.838 + 2*g1*g2^2*g3*t^8.838 + g1^2*g2^3*g3*t^8.838 - 2*g3^2*t^8.838 + (g3^2*t^8.838)/(g1*g2) + 2*g1*g2*g3^2*t^8.838 + g1*g3^3*t^8.838 + g1^2*g2*g3^3*t^8.838 - t^4.5/y - (g2*g3*t^7.338)/y + t^7.662/(g2*g3*y) + (g2^2*g3^2*t^8.675)/y + (2*g2*t^8.838)/(g1*y) + (2*g3*t^8.838)/(g1*y) + (2*g2*g3*t^8.838)/y + (2*g1*g2^2*g3*t^8.838)/y + (2*g1*g2*g3^2*t^8.838)/y - t^4.5*y - g2*g3*t^7.338*y + (t^7.662*y)/(g2*g3) + g2^2*g3^2*t^8.675*y + (2*g2*t^8.838*y)/g1 + (2*g3*t^8.838*y)/g1 + 2*g2*g3*t^8.838*y + 2*g1*g2^2*g3*t^8.838*y + 2*g1*g2*g3^2*t^8.838*y |
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 |
---|---|---|---|---|---|---|---|---|
71 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6914 | 0.8477 | 0.8157 | [M:[1.0], q:[0.5, 0.5], qb:[0.5, 0.5], phi:[0.5]] | 7*t^3. + 10*t^4.5 + 11*t^6. - t^4.5/y - t^4.5*y | detail | {a: 177/256, c: 217/256, M1: 1, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 1/2} |
72 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.6927 | 0.8507 | 0.8143 | [M:[0.9724], q:[0.528, 0.4996], qb:[0.4996, 0.4728], phi:[0.5]] | 3*t^2.917 + t^2.998 + t^3. + t^3.002 + t^3.083 + t^4.337 + 2*t^4.417 + 3*t^4.498 + t^4.502 + 2*t^4.583 + t^4.668 + 5*t^5.834 + t^5.915 + 3*t^5.917 + t^5.919 + t^5.995 + t^5.998 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
45839 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.6927 | 0.8507 | 0.8143 | [M:[0.9724], q:[0.4996, 0.528], qb:[0.4996, 0.4728], phi:[0.5]] | 3*t^2.917 + t^2.998 + t^3. + t^3.002 + t^3.083 + t^4.337 + 2*t^4.417 + 3*t^4.498 + t^4.502 + 2*t^4.583 + t^4.668 + 5*t^5.834 + t^5.915 + 3*t^5.917 + t^5.919 + t^5.995 + t^5.998 - 2*t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
38 | SU2adj1nf2 | ${}\phi_{1}^{4}$ | 0.6914 | 0.8477 | 0.8157 | [q:[0.5, 0.5], qb:[0.5, 0.5], phi:[0.5]] | 7*t^3. + 10*t^4.5 + 11*t^6. - t^4.5/y - t^4.5*y | detail | {a: 177/256, c: 217/256, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 1/2} |