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 |
---|---|---|---|---|---|---|---|---|---|
55435 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}^{2}$ | 0.6999 | 0.8585 | 0.8152 | [M:[1.0504, 0.9245, 0.9496, 1.0252, 1.0, 0.9496], q:[0.5126, 0.437], qb:[0.563, 0.5378], phi:[0.4874]] | [M:[[4], [-6], [-4], [2], [0], [-4]], q:[[1], [-5]], qb:[[5], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.773 + 2*t^2.849 + t^2.924 + t^3. + t^3.076 + t^3.302 + t^4.085 + t^4.311 + t^4.387 + t^4.462 + t^4.538 + t^4.613 + 2*t^4.689 + t^4.764 + t^4.84 + t^5.547 + t^5.622 + 3*t^5.698 + 2*t^5.773 + 3*t^5.849 + t^5.924 - 2*t^6. + t^6.151 + t^6.604 + t^6.858 + 2*t^6.933 + t^7.009 + t^7.085 + 2*t^7.16 + 2*t^7.236 + 3*t^7.311 + 3*t^7.387 + 2*t^7.462 + 3*t^7.538 + 3*t^7.613 + 3*t^7.689 + t^7.764 + t^7.991 + t^8.067 + t^8.142 + t^8.169 + t^8.32 + 2*t^8.396 + 2*t^8.471 + 4*t^8.547 + 4*t^8.622 + 3*t^8.698 + 2*t^8.773 - 3*t^8.849 - 2*t^8.924 - t^4.462/y - t^7.236/y - t^7.311/y + t^7.613/y + t^7.689/y + (2*t^8.622)/y + (2*t^8.698)/y + (3*t^8.773)/y + (3*t^8.849)/y + (3*t^8.924)/y - t^4.462*y - t^7.236*y - t^7.311*y + t^7.613*y + t^7.689*y + 2*t^8.622*y + 2*t^8.698*y + 3*t^8.773*y + 3*t^8.849*y + 3*t^8.924*y | t^2.773/g1^6 + (2*t^2.849)/g1^4 + t^2.924/g1^2 + t^3. + g1^2*t^3.076 + g1^8*t^3.302 + t^4.085/g1^11 + t^4.311/g1^5 + t^4.387/g1^3 + t^4.462/g1 + g1*t^4.538 + g1^3*t^4.613 + 2*g1^5*t^4.689 + g1^7*t^4.764 + g1^9*t^4.84 + t^5.547/g1^12 + t^5.622/g1^10 + (3*t^5.698)/g1^8 + (2*t^5.773)/g1^6 + (3*t^5.849)/g1^4 + t^5.924/g1^2 - 2*t^6. + g1^4*t^6.151 + g1^16*t^6.604 + t^6.858/g1^17 + (2*t^6.933)/g1^15 + t^7.009/g1^13 + t^7.085/g1^11 + (2*t^7.16)/g1^9 + (2*t^7.236)/g1^7 + (3*t^7.311)/g1^5 + (3*t^7.387)/g1^3 + (2*t^7.462)/g1 + 3*g1*t^7.538 + 3*g1^3*t^7.613 + 3*g1^5*t^7.689 + g1^7*t^7.764 + g1^13*t^7.991 + g1^15*t^8.067 + g1^17*t^8.142 + t^8.169/g1^22 + t^8.32/g1^18 + (2*t^8.396)/g1^16 + (2*t^8.471)/g1^14 + (4*t^8.547)/g1^12 + (4*t^8.622)/g1^10 + (3*t^8.698)/g1^8 + (2*t^8.773)/g1^6 - (3*t^8.849)/g1^4 - (2*t^8.924)/g1^2 - t^4.462/(g1*y) - t^7.236/(g1^7*y) - t^7.311/(g1^5*y) + (g1^3*t^7.613)/y + (g1^5*t^7.689)/y + (2*t^8.622)/(g1^10*y) + (2*t^8.698)/(g1^8*y) + (3*t^8.773)/(g1^6*y) + (3*t^8.849)/(g1^4*y) + (3*t^8.924)/(g1^2*y) - (t^4.462*y)/g1 - (t^7.236*y)/g1^7 - (t^7.311*y)/g1^5 + g1^3*t^7.613*y + g1^5*t^7.689*y + (2*t^8.622*y)/g1^10 + (2*t^8.698*y)/g1^8 + (3*t^8.773*y)/g1^6 + (3*t^8.849*y)/g1^4 + (3*t^8.924*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
57046 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6977 | 0.8546 | 0.8164 | [M:[1.0435, 0.9348, 0.9565, 1.0217, 1.0, 0.9565, 1.0217], q:[0.5109, 0.4457], qb:[0.5543, 0.5326], phi:[0.4891]] | t^2.804 + 2*t^2.87 + t^3. + 2*t^3.065 + t^3.261 + t^4.142 + t^4.337 + t^4.402 + t^4.467 + t^4.533 + t^4.598 + 2*t^4.663 + t^4.728 + t^4.793 + t^5.609 + t^5.674 + 2*t^5.739 + 3*t^5.87 + 2*t^5.935 - 3*t^6. - t^4.467/y - t^4.467*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
47190 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ | 0.7092 | 0.8704 | 0.8148 | [M:[1.0025, 0.8407, 0.9975, 1.0531, 0.8964, 0.9975], q:[0.5265, 0.4709], qb:[0.6327, 0.476], phi:[0.4735]] | t^2.522 + t^2.689 + t^2.841 + 2*t^2.992 + t^3.159 + t^3.326 + t^4.246 + t^4.261 + t^4.276 + t^4.413 + t^4.428 + t^4.58 + t^4.731 + t^4.747 + t^4.898 + t^5.044 + t^5.211 + t^5.217 + t^5.363 + t^5.378 + t^5.514 + 3*t^5.681 + t^5.833 + t^5.848 + 2*t^5.985 - 3*t^6. - t^4.42/y - t^4.42*y | detail |