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 |
---|---|---|---|---|---|---|---|---|---|
60083 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.852 | 0.9145 | 0.9317 | [X:[1.6, 1.4], M:[], q:[0.5333, 0.7333], qb:[0.2667, 1.2667], phi:[0.2]] | [X:[[0], [0]], M:[], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 213/250, c: 1829/2000, X1: 8/5, X2: 7/5, q1: 8/15, q2: 11/15, qb1: 4/15, qb2: 19/15, phi1: 1/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0 | t^2.4 + t^3. + t^3.6 + 2*t^4.2 + 2*t^4.8 + t^5.4 + 2*t^6.6 + 4*t^7.2 + 3*t^7.8 + 3*t^8.4 + t^7.8/y^2 - t^3.6/y - t^4.2/y - t^6./y - t^6.6/y - t^7.2/y - t^7.8/y - t^8.4/y - t^3.6*y - t^4.2*y - t^6.*y - t^6.6*y - t^7.2*y - t^7.8*y - t^8.4*y + t^7.8*y^2 | t^2.4 + t^3. + t^3.6 + 2*t^4.2 + 2*t^4.8 + t^5.4 + 2*t^6.6 + 4*t^7.2 + 3*t^7.8 + 3*t^8.4 + t^7.8/y^2 - t^3.6/y - t^4.2/y - t^6./y - t^6.6/y - t^7.2/y - t^7.8/y - t^8.4/y - t^3.6*y - t^4.2*y - t^6.*y - t^6.6*y - t^7.2*y - t^7.8*y - t^8.4*y + t^7.8*y^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 |
---|---|---|---|---|---|---|---|---|
61212 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.8685 | 0.9435 | 0.9205 | [X:[1.6, 1.4], M:[0.8], q:[0.5333, 0.7333], qb:[0.2667, 1.2667], phi:[0.2]] | 2*t^2.4 + t^3. + 2*t^4.2 + 4*t^4.8 + 2*t^5.4 - t^6. - t^3.6/y - t^4.2/y - (2*t^6.)/y - t^3.6*y - t^4.2*y - 2*t^6.*y | detail | {a: 1737/2000, c: 1887/2000, X1: 8/5, X2: 7/5, M1: 4/5, q1: 8/15, q2: 11/15, qb1: 4/15, qb2: 19/15, phi1: 1/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
57740 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 1.0805 | 1.212 | 0.8916 | [X:[1.4829], M:[], q:[0.6895, 0.3624], qb:[0.3448, 1.0519], phi:[0.2586]] | t^2.12 + t^2.33 + t^2.9 + t^3.1 + t^3.67 + 2*t^4.24 + 2*t^4.45 + t^4.65 + 2*t^5.02 + 3*t^5.22 + t^5.43 + t^5.59 + 2*t^5.79 - t^3.78/y - t^4.55/y - t^5.9/y - t^3.78*y - t^4.55*y - t^5.9*y | detail |