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 |
---|---|---|---|---|---|---|---|---|---|
60721 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.2598 | 1.3848 | 0.9097 | [X:[1.5], M:[], q:[0.6667, 0.4167], qb:[0.8333, 0.5833], phi:[0.25]] | [X:[[0]], M:[], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 645/512, c: 709/512, X1: 3/2, q1: 2/3, q2: 5/12, qb1: 5/6, qb2: 7/12, phi1: 1/4} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 2 | t^2.25 + t^3. + 3*t^3.75 + 6*t^4.5 + 3*t^5.25 + 2*t^6. + 3*t^6.75 + 10*t^7.5 + 15*t^8.25 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6./y - (2*t^6.75)/y - (3*t^7.5)/y - (4*t^8.25)/y - t^3.75*y - t^4.5*y - t^6.*y - 2*t^6.75*y - 3*t^7.5*y - 4*t^8.25*y + t^8.25*y^2 | t^2.25 + t^3. + 3*t^3.75 + 6*t^4.5 + 3*t^5.25 + 2*t^6. + 3*t^6.75 + 10*t^7.5 + 15*t^8.25 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6./y - (2*t^6.75)/y - (3*t^7.5)/y - (4*t^8.25)/y - t^3.75*y - t^4.5*y - t^6.*y - 2*t^6.75*y - 3*t^7.5*y - 4*t^8.25*y + t^8.25*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 |
---|---|---|---|---|---|---|---|---|
61234 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.2788 | 1.4194 | 0.9009 | [X:[1.5], M:[0.75], q:[0.6667, 0.4167], qb:[0.8333, 0.5833], phi:[0.25]] | 2*t^2.25 + t^3. + 2*t^3.75 + 8*t^4.5 + 4*t^5.25 + 3*t^6. - t^3.75/y - t^4.5/y - (2*t^6.)/y - t^3.75*y - t^4.5*y - 2*t^6.*y | detail | {a: 2619/2048, c: 2907/2048, X1: 3/2, M1: 3/4, q1: 2/3, q2: 5/12, qb1: 5/6, qb2: 7/12, phi1: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
57678 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | 1.3263 | 1.4951 | 0.8871 | [X:[1.3834], M:[], q:[0.6667, 0.3583], qb:[0.7167, 0.4084], phi:[0.3083]] | t^2.3 + t^2.77 + 3*t^3.23 + 5*t^4.15 + t^4.6 + 3*t^5.08 + 4*t^5.53 + t^5.55 + t^6. - t^3.92/y - t^4.85/y - t^3.92*y - t^4.85*y | detail |