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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2981 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5713 | 0.699 | 0.8173 | [X:[1.6, 1.4216], M:[0.4, 1.2, 0.5784, 1.0216, 0.9784, 0.7567], q:[1.0, 0.6], qb:[0.4216, 0.3784], phi:[0.4]] | [X:[[0], [1]], M:[[0], [0], [-1], [1], [-1], [-2]], q:[[0], [0]], qb:[[1], [-1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }X_{1}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | ${}M_{1}^{2}q_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.27 + t^2.4 + t^2.935 + t^3.065 + t^3.47 + 2*t^3.6 + t^4.135 + t^4.265 + t^4.54 + t^4.67 + 2*t^4.8 + t^5.205 + t^5.335 + t^5.74 + 3*t^5.87 + 2*t^6.405 + 2*t^6.535 + t^6.811 + 2*t^6.94 + 3*t^7.07 + 2*t^7.2 - t^7.33 + t^7.475 + 2*t^7.605 + t^7.735 + t^8.011 + 3*t^8.14 + t^8.27 - t^8.53 + 2*t^8.675 + 2*t^8.805 - 2*t^8.935 - t^4.2/y - t^6.47/y + t^7.67/y + t^7.93/y + t^8.205/y + (2*t^8.335)/y + t^8.465/y + (3*t^8.87)/y - t^4.2*y - t^6.47*y + t^7.67*y + t^7.93*y + t^8.205*y + 2*t^8.335*y + t^8.465*y + 3*t^8.87*y | t^2.27/g1^2 + t^2.4 + t^2.935/g1 + g1*t^3.065 + t^3.47/g1^2 + 2*t^3.6 + t^4.135/g1 + g1*t^4.265 + t^4.54/g1^4 + t^4.67/g1^2 + 2*t^4.8 + t^5.205/g1^3 + t^5.335/g1 + t^5.74/g1^4 + (3*t^5.87)/g1^2 + (2*t^6.405)/g1^3 + (2*t^6.535)/g1 + t^6.811/g1^6 + (2*t^6.94)/g1^4 + (3*t^7.07)/g1^2 + 2*t^7.2 - g1^2*t^7.33 + t^7.475/g1^5 + (2*t^7.605)/g1^3 + t^7.735/g1 + t^8.011/g1^6 + (3*t^8.14)/g1^4 + t^8.27/g1^2 - g1^2*t^8.53 + (2*t^8.675)/g1^5 + (2*t^8.805)/g1^3 - (2*t^8.935)/g1 - t^4.2/y - t^6.47/(g1^2*y) + t^7.67/(g1^2*y) + (g1^2*t^7.93)/y + t^8.205/(g1^3*y) + (2*t^8.335)/(g1*y) + (g1*t^8.465)/y + (3*t^8.87)/(g1^2*y) - t^4.2*y - (t^6.47*y)/g1^2 + (t^7.67*y)/g1^2 + g1^2*t^7.93*y + (t^8.205*y)/g1^3 + (2*t^8.335*y)/g1 + g1*t^8.465*y + (3*t^8.87*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 |
---|---|---|---|---|---|---|---|---|
3589 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.5701 | 0.6954 | 0.8198 | [X:[1.6, 1.4048], M:[0.4, 1.2, 0.5952, 1.0048, 0.9952, 0.7903, 1.0048], q:[1.0, 0.6], qb:[0.4048, 0.3952], phi:[0.4]] | t^2.371 + t^2.4 + 2*t^3.015 + t^3.571 + 2*t^3.6 + t^4.185 + t^4.215 + t^4.742 + t^4.771 + 2*t^4.8 + t^5.385 + t^5.415 + t^5.942 + 2*t^5.971 - t^6. - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
1944 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ | 0.5535 | 0.666 | 0.8311 | [X:[1.6, 1.4], M:[0.4, 1.2, 0.6, 1.0, 1.0], q:[1.0, 0.6], qb:[0.4, 0.4], phi:[0.4]] | t^2.4 + 2*t^3. + 4*t^3.6 + 2*t^4.2 + 2*t^4.8 + 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1107/2000, c: 333/500, X1: 8/5, X2: 7/5, M1: 2/5, M2: 6/5, M3: 3/5, M4: 1, M5: 1, q1: 1, q2: 3/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |