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 |
---|---|---|---|---|---|---|---|---|---|
47949 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0833 | 1.1667 | 0.9286 | [X:[1.5556, 1.3333], q:[0.8889, 0.4444], qb:[0.8889, 0.4444], phi:[0.2222]] | [X:[[0, 0], [0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 13/12, c: 7/6, X1: 14/9, X2: 4/3, q1: 8/9, q2: 4/9, qb1: 8/9, qb2: 4/9, phi1: 2/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | 0 | t^2.667 + t^3.333 + 4*t^4. + t^4.667 + 2*t^5.333 + 4*t^6.667 + 2*t^7.333 + 10*t^8. + t^8.667 + t^8./y^2 - t^3.667/y - t^4.333/y - t^6.333/y - t^7./y - (4*t^7.667)/y - t^8.333/y - t^3.667*y - t^4.333*y - t^6.333*y - t^7.*y - 4*t^7.667*y - t^8.333*y + t^8.*y^2 | t^2.667 + t^3.333 + 2*t^4. + (g1*t^4.)/g2 + (g2*t^4.)/g1 + t^4.667 + 2*t^5.333 - 2*t^6. + t^6./g2^3 + t^6./(g1*g2^2) - (g1*t^6.)/g2 - (g2*t^6.)/g1 + g1*g2^2*t^6. + g2^3*t^6. + 2*t^6.667 + (g1*t^6.667)/g2 + (g2*t^6.667)/g1 + 2*t^7.333 + 8*t^8. - t^8./g2^3 - t^8./(g1*g2^2) + (g1^2*t^8.)/g2^2 + (2*g1*t^8.)/g2 + (2*g2*t^8.)/g1 + (g2^2*t^8.)/g1^2 - g1*g2^2*t^8. - g2^3*t^8. + t^8.667 + t^8./y^2 - t^3.667/y - t^4.333/y - t^6.333/y - t^7./y - (2*t^7.667)/y - (g1*t^7.667)/(g2*y) - (g2*t^7.667)/(g1*y) - t^8.333/y - t^3.667*y - t^4.333*y - t^6.333*y - t^7.*y - 2*t^7.667*y - (g1*t^7.667*y)/g2 - (g2*t^7.667*y)/g1 - t^8.333*y + t^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 |
---|---|---|---|---|---|---|---|---|
57736 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.0934 | 1.1836 | 0.9237 | [X:[1.5556, 1.3333], M:[0.8889], q:[0.8889, 0.4444], qb:[0.8889, 0.4444], phi:[0.2222]] | 2*t^2.67 + 4*t^4. + t^4.67 + 4*t^5.33 - t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 1417/1296, c: 767/648, X1: 14/9, X2: 4/3, M1: 8/9, q1: 8/9, q2: 4/9, qb1: 8/9, qb2: 4/9, phi1: 2/9} |
57735 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.0733 | 1.1497 | 0.9336 | [X:[1.5556, 1.3333], M:[1.1111], q:[0.8889, 0.4444], qb:[0.8889, 0.4444], phi:[0.2222]] | 2*t^3.33 + 4*t^4. + t^4.67 + t^5.33 - t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 1391/1296, c: 745/648, X1: 14/9, X2: 4/3, M1: 10/9, q1: 8/9, q2: 4/9, qb1: 8/9, qb2: 4/9, phi1: 2/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
47875 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1107 | 1.2278 | 0.9046 | [X:[1.5211], q:[0.8803, 0.4014], qb:[0.8803, 0.4014], phi:[0.2394]] | t^2.155 + t^2.408 + t^3.127 + 3*t^3.845 + t^4.31 + 2*t^4.563 + t^4.817 + 2*t^5.282 + t^5.535 + 4*t^5.768 - 2*t^6. - t^3.718/y - t^4.437/y - t^5.873/y - t^3.718*y - t^4.437*y - t^5.873*y | detail |