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 |
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3587 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{6}$ | 0.559 | 0.6976 | 0.8013 | [X:[1.5652], M:[0.4348, 1.3043, 0.6957, 1.0435, 0.9565, 0.9565], q:[0.913, 0.6522], qb:[0.3913, 0.3043], phi:[0.4348]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 108819/194672, c: 67899/97336, X1: 36/23, M1: 10/23, M2: 30/23, M3: 16/23, M4: 24/23, M5: 22/23, M6: 22/23, q1: 21/23, q2: 15/23, qb1: 9/23, qb2: 7/23, phi1: 10/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.087 + t^2.609 + 2*t^2.87 + t^3.13 + t^3.391 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.696 + 2*t^4.957 + 2*t^5.217 + 2*t^5.478 + 4*t^5.739 + t^6. + 3*t^6.261 + 3*t^6.522 + 3*t^6.783 + t^7.043 + 4*t^7.304 + 3*t^7.565 + 4*t^7.826 + t^8.087 + 3*t^8.348 + 3*t^8.609 + t^8.87 - t^4.304/y - t^6.913/y - t^7.174/y + t^7.435/y + (2*t^7.696)/y + (2*t^7.957)/y + t^8.217/y + (3*t^8.478)/y + (4*t^8.739)/y - t^4.304*y - t^6.913*y - t^7.174*y + t^7.435*y + 2*t^7.696*y + 2*t^7.957*y + t^8.217*y + 3*t^8.478*y + 4*t^8.739*y | t^2.087 + t^2.609 + 2*t^2.87 + t^3.13 + t^3.391 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.696 + 2*t^4.957 + 2*t^5.217 + 2*t^5.478 + 4*t^5.739 + t^6. + 3*t^6.261 + 3*t^6.522 + 3*t^6.783 + t^7.043 + 4*t^7.304 + 3*t^7.565 + 4*t^7.826 + t^8.087 + 3*t^8.348 + 3*t^8.609 + t^8.87 - t^4.304/y - t^6.913/y - t^7.174/y + t^7.435/y + (2*t^7.696)/y + (2*t^7.957)/y + t^8.217/y + (3*t^8.478)/y + (4*t^8.739)/y - t^4.304*y - t^6.913*y - t^7.174*y + t^7.435*y + 2*t^7.696*y + 2*t^7.957*y + t^8.217*y + 3*t^8.478*y + 4*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 |
---|---|---|---|---|---|---|---|---|
5245 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ | 0.563 | 0.7043 | 0.7994 | [X:[1.5652], M:[0.4348, 1.3043, 0.6957, 1.0435, 0.9565, 0.9565, 0.9565], q:[0.913, 0.6522], qb:[0.3913, 0.3043], phi:[0.4348]] | t^2.087 + t^2.609 + 3*t^2.87 + t^3.391 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.696 + 3*t^4.957 + t^5.217 + 3*t^5.478 + 6*t^5.739 - t^6. - t^4.304/y - t^4.304*y | detail | {a: 13701/24334, c: 34279/48668, X1: 36/23, M1: 10/23, M2: 30/23, M3: 16/23, M4: 24/23, M5: 22/23, M6: 22/23, M7: 22/23, q1: 21/23, q2: 15/23, qb1: 9/23, qb2: 7/23, phi1: 10/23} |
5246 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5706 | 0.7173 | 0.7954 | [X:[1.5652], M:[0.4348, 1.3043, 0.6957, 1.0435, 0.9565, 0.9565, 0.8696], q:[0.913, 0.6522], qb:[0.3913, 0.3043], phi:[0.4348]] | t^2.087 + 2*t^2.609 + 2*t^2.87 + t^3.13 + 2*t^3.652 + t^3.913 + t^4.174 + 3*t^4.696 + 2*t^4.957 + 4*t^5.217 + 3*t^5.478 + 5*t^5.739 - t^4.304/y - t^4.304*y | detail | {a: 55539/97336, c: 34911/48668, X1: 36/23, M1: 10/23, M2: 30/23, M3: 16/23, M4: 24/23, M5: 22/23, M6: 22/23, M7: 20/23, q1: 21/23, q2: 15/23, qb1: 9/23, qb2: 7/23, phi1: 10/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
2982 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.58 | 0.7267 | 0.7981 | [X:[1.577], M:[0.423, 1.2689, 0.7311, 0.9607, 1.0393, 0.7673], q:[0.9426, 0.6344], qb:[0.3263, 0.4049], phi:[0.423]] | t^2.193 + t^2.302 + t^2.538 + t^2.882 + t^3.118 + t^3.226 + t^3.462 + t^3.807 + t^4.042 + t^4.387 + t^4.495 + t^4.604 + 2*t^4.731 + t^4.84 + 2*t^5.075 + t^5.184 + t^5.311 + 2*t^5.42 + t^5.528 + t^5.656 + 2*t^5.764 - t^4.269/y - t^4.269*y | detail |