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 |
---|---|---|---|---|---|---|---|---|---|
57906 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.1492 | 1.3617 | 0.8439 | [X:[1.2, 1.4], M:[1.0], q:[0.4852, 0.6296], qb:[0.1148, 0.3704], phi:[0.4]] | [X:[[0], [0]], M:[[0]], q:[[1], [-2]], qb:[[-1], [2]], phi:[[0]]] | 1 | {a: 18387/16000, c: 21787/16000, X1: 6/5, X2: 7/5, M1: 1, q1: 131/270, q2: 17/27, qb1: 31/270, qb2: 10/27, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}X_{1}$ | ${2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ 2}\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}\tilde{q}_{2}^{2}$ | 4 | t^2.23 + t^2.57 + 3*t^3. + t^3.43 + 2*t^3.6 + 2*t^3.77 + 4*t^4.2 + t^4.47 + 2*t^4.63 + t^4.8 + 2*t^4.97 + t^5.13 + 2*t^5.23 + 2*t^5.4 + t^5.57 + t^5.67 + 2*t^5.83 + 4*t^6. + 3*t^6.17 + 2*t^6.33 + 5*t^6.43 + 4*t^6.6 + t^6.7 + 5*t^6.77 + 3*t^6.87 + t^6.93 + t^7.03 + 13*t^7.2 + 3*t^7.37 + 2*t^7.47 + 4*t^7.53 + 9*t^7.63 + t^7.7 + 4*t^7.8 + t^7.9 + 10*t^7.97 + 4*t^8.07 + t^8.13 + 2*t^8.23 + 16*t^8.4 + t^8.57 + 4*t^8.67 + 5*t^8.73 + 10*t^8.83 + 2*t^8.9 + t^8.93 - t^4.2/y - t^5.4/y - t^6.43/y - t^6.77/y - t^7.2/y - t^7.63/y - t^7.97/y + (3*t^8.23)/y - (3*t^8.4)/y + (3*t^8.57)/y + t^8.83/y - t^4.2*y - t^5.4*y - t^6.43*y - t^6.77*y - t^7.2*y - t^7.63*y - t^7.97*y + 3*t^8.23*y - 3*t^8.4*y + 3*t^8.57*y + t^8.83*y | t^2.23/g1^3 + g1^3*t^2.57 + 3*t^3. + t^3.43/g1^3 + 2*t^3.6 + 2*g1^3*t^3.77 + 4*t^4.2 + t^4.47/g1^6 + (2*t^4.63)/g1^3 + t^4.8 + 2*g1^3*t^4.97 + g1^6*t^5.13 + (2*t^5.23)/g1^3 + 2*t^5.4 + g1^3*t^5.57 + t^5.67/g1^6 + (2*t^5.83)/g1^3 + 4*t^6. + 3*g1^3*t^6.17 + 2*g1^6*t^6.33 + (5*t^6.43)/g1^3 + 4*t^6.6 + t^6.7/g1^9 + 5*g1^3*t^6.77 + (3*t^6.87)/g1^6 + g1^6*t^6.93 + t^7.03/g1^3 + 13*t^7.2 + 3*g1^3*t^7.37 + (2*t^7.47)/g1^6 + 4*g1^6*t^7.53 + (9*t^7.63)/g1^3 + g1^9*t^7.7 + 4*t^7.8 + t^7.9/g1^9 + 10*g1^3*t^7.97 + (4*t^8.07)/g1^6 + g1^6*t^8.13 + (2*t^8.23)/g1^3 + 16*t^8.4 + g1^3*t^8.57 + (4*t^8.67)/g1^6 + 5*g1^6*t^8.73 + (10*t^8.83)/g1^3 + 2*g1^9*t^8.9 + t^8.93/g1^12 - t^4.2/y - t^5.4/y - t^6.43/(g1^3*y) - (g1^3*t^6.77)/y - t^7.2/y - t^7.63/(g1^3*y) - (g1^3*t^7.97)/y + (3*t^8.23)/(g1^3*y) - (3*t^8.4)/y + (3*g1^3*t^8.57)/y + t^8.83/(g1^3*y) - t^4.2*y - t^5.4*y - (t^6.43*y)/g1^3 - g1^3*t^6.77*y - t^7.2*y - (t^7.63*y)/g1^3 - g1^3*t^7.97*y + (3*t^8.23*y)/g1^3 - 3*t^8.4*y + 3*g1^3*t^8.57*y + (t^8.83*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
61114 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | 1.1445 | 1.357 | 0.8434 | [X:[1.2, 1.4], M:[1.0], q:[0.4667, 0.6667], qb:[0.1333, 0.3333], phi:[0.4]] | 2*t^2.4 + 3*t^3. + 5*t^3.6 + 4*t^4.2 + 7*t^4.8 + 5*t^5.4 + 12*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 2289/2000, c: 1357/1000, X1: 6/5, X2: 7/5, M1: 1, q1: 7/15, q2: 2/3, qb1: 2/15, qb2: 1/3, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
57294 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ | 1.3133 | 1.5258 | 0.8607 | [X:[1.2, 1.4], M:[1.0], q:[0.3, 0.5], qb:[0.3, 0.5], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 4*t^3.6 + 3*t^4.2 + 2*t^4.5 + 5*t^4.8 + 2*t^5.1 + 3*t^5.4 + 2*t^5.7 + 7*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 5253/4000, c: 6103/4000, X1: 6/5, X2: 7/5, M1: 1, q1: 3/10, q2: 1/2, qb1: 3/10, qb2: 1/2, phi1: 2/5} |