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 |
---|---|---|---|---|---|---|---|---|---|
3545 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6139 | 0.7707 | 0.7965 | [X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2, 0.8, 0.8, 0.6904], q:[0.6452, 0.3548], qb:[0.9548, 0.4452], phi:[0.4]] | [X:[[0], [0]], M:[[0], [0], [0], [0], [0], [0], [2]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.071 + 3*t^2.4 + t^3. + t^3.271 + t^3.329 + t^3.871 + t^4.143 + t^4.2 + 3*t^4.471 + 7*t^4.8 + t^5.071 + t^5.343 + 3*t^5.4 + 2*t^5.671 + 2*t^5.729 + t^5.943 - 2*t^6. + t^6.214 + 4*t^6.271 + 4*t^6.543 + t^6.6 + t^6.657 + 6*t^6.871 - 2*t^6.929 + 2*t^7.143 + 10*t^7.2 + t^7.414 + 2*t^7.471 - t^7.529 + 3*t^7.743 + 3*t^7.8 + t^8.014 + 2*t^8.071 + 3*t^8.129 + t^8.285 + 4*t^8.343 - 7*t^8.4 + 4*t^8.614 + 5*t^8.671 - 2*t^8.729 + 8*t^8.943 - t^4.2/y - t^6.271/y - (2*t^6.6)/y + (3*t^7.471)/y + (5*t^7.8)/y + t^8.071/y + t^8.129/y + (4*t^8.4)/y + t^8.671/y + (3*t^8.729)/y + t^8.943/y - t^4.2*y - t^6.271*y - 2*t^6.6*y + 3*t^7.471*y + 5*t^7.8*y + t^8.071*y + t^8.129*y + 4*t^8.4*y + t^8.671*y + 3*t^8.729*y + t^8.943*y | g1^2*t^2.071 + 3*t^2.4 + t^3. + g1^2*t^3.271 + t^3.329/g1^2 + g1^2*t^3.871 + g1^4*t^4.143 + t^4.2 + 3*g1^2*t^4.471 + 7*t^4.8 + g1^2*t^5.071 + g1^4*t^5.343 + 3*t^5.4 + 2*g1^2*t^5.671 + (2*t^5.729)/g1^2 + g1^4*t^5.943 - 2*t^6. + g1^6*t^6.214 + 4*g1^2*t^6.271 + 4*g1^4*t^6.543 + t^6.6 + t^6.657/g1^4 + 6*g1^2*t^6.871 - (2*t^6.929)/g1^2 + 2*g1^4*t^7.143 + 10*t^7.2 + g1^6*t^7.414 + 2*g1^2*t^7.471 - t^7.529/g1^2 + 3*g1^4*t^7.743 + 3*t^7.8 + g1^6*t^8.014 + 2*g1^2*t^8.071 + (3*t^8.129)/g1^2 + g1^8*t^8.285 + 4*g1^4*t^8.343 - 7*t^8.4 + 4*g1^6*t^8.614 + 5*g1^2*t^8.671 - (2*t^8.729)/g1^2 + 8*g1^4*t^8.943 - t^4.2/y - (g1^2*t^6.271)/y - (2*t^6.6)/y + (3*g1^2*t^7.471)/y + (5*t^7.8)/y + (g1^2*t^8.071)/y + t^8.129/(g1^2*y) + (4*t^8.4)/y + (g1^2*t^8.671)/y + (3*t^8.729)/(g1^2*y) + (g1^4*t^8.943)/y - t^4.2*y - g1^2*t^6.271*y - 2*t^6.6*y + 3*g1^2*t^7.471*y + 5*t^7.8*y + g1^2*t^8.071*y + (t^8.129*y)/g1^2 + 4*t^8.4*y + g1^2*t^8.671*y + (3*t^8.729*y)/g1^2 + g1^4*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 |
---|---|---|---|---|---|---|---|---|
5221 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6343 | 0.8093 | 0.7838 | [X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2, 0.8, 0.8, 0.7, 0.7], q:[0.65, 0.35], qb:[0.95, 0.45], phi:[0.4]] | 2*t^2.1 + 3*t^2.4 + t^3. + 2*t^3.3 + 4*t^4.2 + 6*t^4.5 + 7*t^4.8 + 2*t^5.1 + 6*t^5.4 + 4*t^5.7 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 10149/16000, c: 12949/16000, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 2/5, M4: 6/5, M5: 4/5, M6: 4/5, M7: 7/10, M8: 7/10, q1: 13/20, q2: 7/20, qb1: 19/20, qb2: 9/20, 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 |
---|---|---|---|---|---|---|---|---|---|
2958 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.5933 | 0.7308 | 0.8118 | [X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2, 0.8, 0.8], q:[0.65, 0.35], qb:[0.95, 0.45], phi:[0.4]] | 3*t^2.4 + t^3. + 2*t^3.3 + 2*t^3.9 + t^4.2 + 7*t^4.8 + 2*t^5.4 + 4*t^5.7 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 2373/4000, c: 2923/4000, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 2/5, M4: 6/5, M5: 4/5, M6: 4/5, q1: 13/20, q2: 7/20, qb1: 19/20, qb2: 9/20, phi1: 2/5} |