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 |
---|---|---|---|---|---|---|---|---|---|
3314 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6186 | 0.8061 | 0.7674 | [M:[0.9565, 1.1304, 0.9565, 0.8696, 0.6957], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 120429/194672, c: 78465/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 16/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | 2*t^2.087 + t^2.348 + t^2.609 + 2*t^2.87 + 2*t^3.391 + 2*t^3.652 + t^3.913 + 4*t^4.174 + 3*t^4.435 + 3*t^4.696 + 5*t^4.957 + 3*t^5.217 + 5*t^5.478 + 6*t^5.739 + 2*t^6. + 8*t^6.261 + 7*t^6.522 + 7*t^6.783 + 11*t^7.043 + 7*t^7.304 + 9*t^7.565 + 11*t^7.826 + 6*t^8.087 + 11*t^8.348 + 10*t^8.609 + 7*t^8.87 - t^4.565/y - t^6.652/y + t^7.174/y + t^7.435/y + (3*t^7.696)/y + (5*t^7.957)/y + (2*t^8.217)/y + (7*t^8.478)/y + (6*t^8.739)/y - t^4.565*y - t^6.652*y + t^7.174*y + t^7.435*y + 3*t^7.696*y + 5*t^7.957*y + 2*t^8.217*y + 7*t^8.478*y + 6*t^8.739*y | 2*t^2.087 + t^2.348 + t^2.609 + 2*t^2.87 + 2*t^3.391 + 2*t^3.652 + t^3.913 + 4*t^4.174 + 3*t^4.435 + 3*t^4.696 + 5*t^4.957 + 3*t^5.217 + 5*t^5.478 + 6*t^5.739 + 2*t^6. + 8*t^6.261 + 7*t^6.522 + 7*t^6.783 + 11*t^7.043 + 7*t^7.304 + 9*t^7.565 + 11*t^7.826 + 6*t^8.087 + 11*t^8.348 + 10*t^8.609 + 7*t^8.87 - t^4.565/y - t^6.652/y + t^7.174/y + t^7.435/y + (3*t^7.696)/y + (5*t^7.957)/y + (2*t^8.217)/y + (7*t^8.478)/y + (6*t^8.739)/y - t^4.565*y - t^6.652*y + t^7.174*y + t^7.435*y + 3*t^7.696*y + 5*t^7.957*y + 2*t^8.217*y + 7*t^8.478*y + 6*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 |
---|---|---|---|---|---|---|---|---|
3749 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.607 | 0.7864 | 0.7719 | [M:[0.9565, 1.1304, 0.9565, 0.8696, 0.6957, 1.1304], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 2*t^2.087 + t^2.348 + 2*t^2.87 + 3*t^3.391 + 2*t^3.652 + t^3.913 + 4*t^4.174 + 3*t^4.435 + t^4.696 + 4*t^4.957 + 2*t^5.217 + 5*t^5.478 + 7*t^5.739 - t^4.565/y - t^4.565*y | detail | {a: 59085/97336, c: 38271/48668, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 16/23, M6: 26/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
3750 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6392 | 0.8458 | 0.7558 | [M:[0.9565, 1.1304, 0.9565, 0.8696, 0.6957, 0.6957], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 3*t^2.087 + t^2.348 + t^2.609 + 2*t^2.87 + 2*t^3.391 + 2*t^3.652 + 7*t^4.174 + 4*t^4.435 + 4*t^4.696 + 7*t^4.957 + 3*t^5.217 + 7*t^5.478 + 8*t^5.739 - t^4.565/y - t^4.565*y | detail | {a: 15555/24334, c: 41161/48668, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 16/23, M6: 16/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, 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 |
---|---|---|---|---|---|---|---|---|---|
2794 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6191 | 0.8066 | 0.7675 | [M:[0.9622, 1.1133, 0.9622, 0.8867, 0.6699], q:[0.7406, 0.2972], qb:[0.4811, 0.4056], phi:[0.5189]] | t^2.01 + t^2.108 + t^2.335 + t^2.66 + 2*t^2.887 + t^3.34 + t^3.438 + 2*t^3.665 + t^3.892 + t^4.02 + t^4.118 + 2*t^4.217 + t^4.345 + 2*t^4.443 + 2*t^4.67 + t^4.769 + 2*t^4.896 + 3*t^4.995 + 2*t^5.222 + t^5.32 + t^5.35 + t^5.448 + 3*t^5.547 + 2*t^5.675 + 4*t^5.773 + t^5.901 - t^4.557/y - t^4.557*y | detail |