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 |
---|---|---|---|---|---|---|---|---|---|
60498 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{6}$ | 1.3506 | 1.5492 | 0.8718 | [X:[1.3333], M:[0.8225], q:[0.4444, 0.7778], qb:[0.3997, 0.378], phi:[0.3333]] | [X:[[0]], M:[[1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 2*t^2.47 + t^2.53 + t^3. + 2*t^3.47 + t^3.53 + t^4. + 3*t^4.47 + 3*t^4.53 + 3*t^4.93 + t^5. + t^5.07 + 4*t^5.47 + 3*t^5.53 + 3*t^5.93 + t^6.4 + 5*t^6.47 + 3*t^6.53 + t^6.6 + 7*t^6.93 + 7*t^7. + 2*t^7.07 + 4*t^7.4 + 5*t^7.47 + 4*t^7.53 + t^7.6 + 10*t^7.93 + 10*t^8. + 3*t^8.07 + 4*t^8.4 - 2*t^8.47 - t^8.53 + 2*t^8.87 + 16*t^8.93 - t^4./y - t^5./y - (2*t^6.47)/y - t^6.53/y - t^7./y - (3*t^7.47)/y - t^7.53/y + t^7.93/y + t^8./y + t^8.93/y - t^4.*y - t^5.*y - 2*t^6.47*y - t^6.53*y - t^7.*y - 3*t^7.47*y - t^7.53*y + t^7.93*y + t^8.*y + t^8.93*y | 2*g1*t^2.47 + t^2.53/g1 + t^3. + 2*g1*t^3.47 + t^3.53/g1 + t^4. + 3*g1*t^4.47 + (3*t^4.53)/g1 + 3*g1^2*t^4.93 + t^5. + t^5.07/g1^2 + 4*g1*t^5.47 + (3*t^5.53)/g1 + 3*g1^2*t^5.93 + g1^3*t^6.4 + 5*g1*t^6.47 + (3*t^6.53)/g1 + t^6.6/g1^3 + 7*g1^2*t^6.93 + 7*t^7. + (2*t^7.07)/g1^2 + 4*g1^3*t^7.4 + 5*g1*t^7.47 + (4*t^7.53)/g1 + t^7.6/g1^3 + 10*g1^2*t^7.93 + 10*t^8. + (3*t^8.07)/g1^2 + 4*g1^3*t^8.4 - 2*g1*t^8.47 - t^8.53/g1 + 2*g1^4*t^8.87 + 16*g1^2*t^8.93 - t^4./y - t^5./y - (2*g1*t^6.47)/y - t^6.53/(g1*y) - t^7./y - (3*g1*t^7.47)/y - t^7.53/(g1*y) + (g1^2*t^7.93)/y + t^8./y + (g1^2*t^8.93)/y - t^4.*y - t^5.*y - 2*g1*t^6.47*y - (t^6.53*y)/g1 - t^7.*y - 3*g1*t^7.47*y - (t^7.53*y)/g1 + g1^2*t^7.93*y + t^8.*y + g1^2*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
61131 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{6}$ + ${ }M_{1}M_{2}$ | 1.3359 | 1.5234 | 0.8769 | [X:[1.3333], M:[0.8333, 1.1667], q:[0.4444, 0.7778], qb:[0.3889, 0.3889], phi:[0.3333]] | 2*t^2.5 + t^3. + 4*t^3.5 + t^4. + 6*t^4.5 + 2*t^5. + 6*t^5.5 + 2*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 171/128, c: 195/128, X1: 4/3, M1: 5/6, M2: 7/6, q1: 4/9, q2: 7/9, qb1: 7/18, qb2: 7/18, phi1: 1/3} |
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 |
---|---|---|---|---|---|---|---|---|---|
57488 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3881 | 1.5644 | 0.8873 | [X:[1.4075], M:[0.734], q:[0.4692, 0.7654], qb:[0.5006, 0.4873], phi:[0.2962]] | t^2.2 + t^2.67 + t^2.87 + t^2.91 + 2*t^3.76 + t^3.8 + t^4.22 + t^4.4 + 2*t^4.65 + 2*t^4.69 + t^4.87 + t^5.07 + t^5.31 + t^5.33 + t^5.35 + 2*t^5.54 + 2*t^5.58 + t^5.74 + t^5.78 + t^5.82 + t^5.96 - 3*t^6. - t^3.89/y - t^4.78/y - t^3.89*y - t^4.78*y | detail |