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 |
---|---|---|---|---|---|---|---|---|---|
46381 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ | 0.5809 | 0.7127 | 0.815 | [X:[1.6], M:[1.2, 0.4, 1.0, 0.6904], q:[0.3, 0.5], qb:[0.8096, 0.7904], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0], [1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.071 + t^2.4 + t^3. + t^3.271 + t^3.329 + 2*t^3.6 + t^3.871 + t^4.143 + t^4.2 + t^4.471 + 2*t^4.8 + t^5.071 + t^5.343 + t^5.4 + 2*t^5.671 + t^5.943 + t^6.214 + 2*t^6.271 + 2*t^6.543 + t^6.6 + t^6.657 + 3*t^6.871 + 2*t^7.143 + 2*t^7.2 + t^7.414 + 2*t^7.471 - t^7.529 + 3*t^7.743 + t^8.014 + t^8.071 + t^8.285 + 2*t^8.343 + t^8.4 + 2*t^8.614 - 2*t^8.729 + 3*t^8.943 - t^4.2/y - t^6.271/y + t^7.471/y + t^8.071/y + t^8.129/y + (2*t^8.4)/y + (3*t^8.671)/y + t^8.729/y + t^8.943/y - t^4.2*y - t^6.271*y + t^7.471*y + t^8.071*y + t^8.129*y + 2*t^8.4*y + 3*t^8.671*y + t^8.729*y + t^8.943*y | g1*t^2.071 + t^2.4 + t^3. + g1*t^3.271 + t^3.329/g1 + 2*t^3.6 + g1*t^3.871 + g1^2*t^4.143 + t^4.2 + g1*t^4.471 + 2*t^4.8 + g1*t^5.071 + g1^2*t^5.343 + t^5.4 + 2*g1*t^5.671 + g1^2*t^5.943 + g1^3*t^6.214 + 2*g1*t^6.271 + 2*g1^2*t^6.543 + t^6.6 + t^6.657/g1^2 + 3*g1*t^6.871 + 2*g1^2*t^7.143 + 2*t^7.2 + g1^3*t^7.414 + 2*g1*t^7.471 - t^7.529/g1 + 3*g1^2*t^7.743 + g1^3*t^8.014 + g1*t^8.071 + g1^4*t^8.285 + 2*g1^2*t^8.343 + t^8.4 + 2*g1^3*t^8.614 - (2*t^8.729)/g1 + 3*g1^2*t^8.943 - t^4.2/y - (g1*t^6.271)/y + (g1*t^7.471)/y + (g1*t^8.071)/y + t^8.129/(g1*y) + (2*t^8.4)/y + (3*g1*t^8.671)/y + t^8.729/(g1*y) + (g1^2*t^8.943)/y - t^4.2*y - g1*t^6.271*y + g1*t^7.471*y + g1*t^8.071*y + (t^8.129*y)/g1 + 2*t^8.4*y + 3*g1*t^8.671*y + (t^8.729*y)/g1 + g1^2*t^8.943*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 |
---|---|---|---|---|---|---|---|---|
48305 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6013 | 0.7513 | 0.8003 | [X:[1.6], M:[1.2, 0.4, 1.0, 0.7, 0.7], q:[0.3, 0.5], qb:[0.8, 0.8], phi:[0.4]] | 2*t^2.1 + t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 4*t^4.2 + 2*t^4.5 + 2*t^4.8 + 2*t^5.1 + 4*t^5.4 + 4*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 9621/16000, c: 12021/16000, X1: 8/5, M1: 6/5, M2: 2/5, M3: 1, M4: 7/10, M5: 7/10, q1: 3/10, q2: 1/2, qb1: 4/5, qb2: 4/5, phi1: 2/5} |
47175 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.5808 | 0.712 | 0.8157 | [X:[1.6], M:[1.2, 0.4, 1.0, 0.7], q:[0.3, 0.5], qb:[0.8, 0.8], phi:[0.4]] | t^2.1 + t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + t^3.9 + 2*t^4.2 + t^4.5 + 2*t^4.8 + t^5.1 + 2*t^5.4 + 2*t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 3717/6400, c: 4557/6400, X1: 8/5, M1: 6/5, M2: 2/5, M3: 1, M4: 7/10, q1: 3/10, q2: 1/2, qb1: 4/5, qb2: 4/5, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
46323 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.615 | 0.7557 | 0.8139 | [X:[1.6], M:[1.2, 0.4, 0.7748, 0.7748], q:[0.4126, 0.3874], qb:[0.8378, 0.7622], phi:[0.4]] | 2*t^2.324 + t^2.4 + t^3.449 + 2*t^3.524 + 2*t^3.6 + t^3.751 + 3*t^4.649 + 2*t^4.724 + 2*t^4.8 + 2*t^5.773 + 4*t^5.849 + 4*t^5.924 - t^6. - t^4.2/y - t^4.2*y | detail |