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 |
---|---|---|---|---|---|---|---|---|---|
1654 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{4}q_{1}q_{2}$ | 0.5056 | 0.6363 | 0.7946 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 0.7273, 1.0909], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10767/21296, c: 6775/10648, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 8/11, M6: 12/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, phi1: 4/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | 2 | 3*t^2.182 + t^2.727 + 2*t^3.273 + t^3.818 + 6*t^4.364 + 3*t^4.909 + 5*t^5.455 + 2*t^6. + 9*t^6.545 + 4*t^7.091 + 7*t^7.636 + 8*t^8.727 - t^4.091/y - (2*t^6.273)/y + (3*t^7.364)/y + (5*t^7.909)/y + (3*t^8.455)/y - t^4.091*y - 2*t^6.273*y + 3*t^7.364*y + 5*t^7.909*y + 3*t^8.455*y | 3*t^2.182 + t^2.727 + 2*t^3.273 + t^3.818 + 6*t^4.364 + 3*t^4.909 + 5*t^5.455 + 2*t^6. + 9*t^6.545 + 4*t^7.091 + 7*t^7.636 + 8*t^8.727 - t^4.091/y - (2*t^6.273)/y + (3*t^7.364)/y + (5*t^7.909)/y + (3*t^8.455)/y - t^4.091*y - 2*t^6.273*y + 3*t^7.364*y + 5*t^7.909*y + 3*t^8.455*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 |
---|---|---|---|---|---|---|---|---|
4054 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.5255 | 0.6732 | 0.7806 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 0.7273, 1.0909, 0.7273], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | 4*t^2.182 + t^2.727 + 2*t^3.273 + 10*t^4.364 + 4*t^4.909 + 7*t^5.455 - t^6. - t^4.091/y - t^4.091*y | detail | {a: 5595/10648, c: 896/1331, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 8/11, M6: 12/11, M7: 8/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, phi1: 4/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
1061 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ | 0.5217 | 0.6488 | 0.804 | [X:[1.4208], M:[0.8962, 1.2277, 0.5792, 0.8415, 0.7723, 1.1585], q:[0.8069, 0.2277], qb:[0.8761, 0.5447], phi:[0.3862]] | 2*t^2.317 + t^2.525 + t^2.689 + t^3.104 + t^3.475 + t^4.262 + t^4.426 + t^4.47 + 3*t^4.634 + 2*t^4.842 + t^5.006 + t^5.049 + t^5.377 + 2*t^5.421 + t^5.628 + 2*t^5.792 - 2*t^6. - t^4.158/y - t^4.158*y | detail |