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 |
---|---|---|---|---|---|---|---|---|---|
3881 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ | 0.6249 | 0.8151 | 0.7666 | [M:[0.9565, 1.1304, 1.0435, 0.7826, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 60825/97336, c: 19835/24334, M1: 22/23, M2: 26/23, M3: 24/23, M4: 18/23, M5: 18/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$ | ${}M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$ | 0 | t^2.087 + 3*t^2.348 + t^2.609 + 2*t^3.13 + 2*t^3.391 + 2*t^3.913 + 2*t^4.174 + 4*t^4.435 + 7*t^4.696 + 3*t^4.957 + 3*t^5.217 + 7*t^5.478 + 5*t^5.739 + 6*t^6.261 + 9*t^6.522 + 9*t^6.783 + 13*t^7.043 + 8*t^7.304 + 8*t^7.565 + 14*t^7.826 + 7*t^8.087 + t^8.348 + 12*t^8.609 + 14*t^8.87 - t^4.565/y - (2*t^6.913)/y + (4*t^7.435)/y + (3*t^7.696)/y + (3*t^7.957)/y + (4*t^8.217)/y + (8*t^8.478)/y + (8*t^8.739)/y - t^4.565*y - 2*t^6.913*y + 4*t^7.435*y + 3*t^7.696*y + 3*t^7.957*y + 4*t^8.217*y + 8*t^8.478*y + 8*t^8.739*y | t^2.087 + 3*t^2.348 + t^2.609 + 2*t^3.13 + 2*t^3.391 + 2*t^3.913 + 2*t^4.174 + 4*t^4.435 + 7*t^4.696 + 3*t^4.957 + 3*t^5.217 + 7*t^5.478 + 5*t^5.739 + 6*t^6.261 + 9*t^6.522 + 9*t^6.783 + 13*t^7.043 + 8*t^7.304 + 8*t^7.565 + 14*t^7.826 + 7*t^8.087 + t^8.348 + 12*t^8.609 + 14*t^8.87 - t^4.565/y - (2*t^6.913)/y + (4*t^7.435)/y + (3*t^7.696)/y + (3*t^7.957)/y + (4*t^8.217)/y + (8*t^8.478)/y + (8*t^8.739)/y - t^4.565*y - 2*t^6.913*y + 4*t^7.435*y + 3*t^7.696*y + 3*t^7.957*y + 4*t^8.217*y + 8*t^8.478*y + 8*t^8.739*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 |
---|---|---|---|---|---|---|---|---|
5469 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{6}M_{7}$ | 0.6133 | 0.7954 | 0.7711 | [M:[0.9565, 1.1304, 1.0435, 0.7826, 0.7826, 0.8696, 1.1304], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.087 + 3*t^2.348 + 2*t^3.13 + 3*t^3.391 + 2*t^3.913 + 2*t^4.174 + 4*t^4.435 + 6*t^4.696 + 2*t^5.217 + 8*t^5.478 + 6*t^5.739 - 2*t^6. - t^4.565/y - t^4.565*y | detail | {a: 119391/194672, c: 77417/97336, M1: 22/23, M2: 26/23, M3: 24/23, M4: 18/23, M5: 18/23, M6: 20/23, M7: 26/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
3390 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6431 | 0.8464 | 0.7598 | [M:[1.0005, 0.9984, 0.9995, 0.7496, 0.7496, 0.7485], q:[0.7501, 0.2493], qb:[0.5013, 0.5003], phi:[0.4997]] | t^2.246 + 3*t^2.249 + t^2.252 + 2*t^2.995 + 2*t^2.998 + t^3.748 + t^4.491 + 3*t^4.494 + 7*t^4.498 + 4*t^4.501 + 2*t^4.504 + t^4.507 + 2*t^5.241 + 7*t^5.244 + 7*t^5.247 + 2*t^5.25 + 3*t^5.99 + 5*t^5.994 + 3*t^5.997 - 3*t^6. - t^4.499/y - t^4.499*y | detail |