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 |
---|---|---|---|---|---|---|---|---|---|
52 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7232 | 0.8641 | 0.8369 | [M:[0.837], q:[0.5815, 0.5815], qb:[0.5815, 0.5815], phi:[0.4185]] | [M:[[0, -2, -2]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -6 | 2*t^2.511 + 5*t^3.489 + 10*t^4.745 + 3*t^5.022 - 6*t^6. + 14*t^6.978 + 5*t^7.255 + 4*t^7.533 + 25*t^8.234 - 7*t^8.511 - t^4.255/y - (2*t^6.766)/y + (2*t^7.745)/y + t^8.022/y - t^4.255*y - 2*t^6.766*y + 2*t^7.745*y + t^8.022*y | (2*t^2.511)/(g2^2*g3^2) + g1*g2^2*t^3.489 + g1*g3^2*t^3.489 + g2^2*g3^2*t^3.489 + (g2^4*g3^2*t^3.489)/g1 + (g2^2*g3^4*t^3.489)/g1 + (g1^2*t^4.745)/(g2*g3) + (g1*g2*t^4.745)/g3 + (g2^3*t^4.745)/g3 + (g1*g3*t^4.745)/g2 + 2*g2*g3*t^4.745 + (g2^3*g3*t^4.745)/g1 + (g3^3*t^4.745)/g2 + (g2*g3^3*t^4.745)/g1 + (g2^3*g3^3*t^4.745)/g1^2 + (3*t^5.022)/(g2^4*g3^4) - 2*t^6. - (g1^2*t^6.)/(g2^2*g3^2) - (g2^2*t^6.)/g3^2 - (g3^2*t^6.)/g2^2 - (g2^2*g3^2*t^6.)/g1^2 + g1^2*g2^4*t^6.978 + g1^2*g2^2*g3^2*t^6.978 + g1*g2^4*g3^2*t^6.978 + g2^6*g3^2*t^6.978 + g1^2*g3^4*t^6.978 + g1*g2^2*g3^4*t^6.978 + 2*g2^4*g3^4*t^6.978 + (g2^6*g3^4*t^6.978)/g1 + (g2^8*g3^4*t^6.978)/g1^2 + g2^2*g3^6*t^6.978 + (g2^4*g3^6*t^6.978)/g1 + (g2^6*g3^6*t^6.978)/g1^2 + (g2^4*g3^8*t^6.978)/g1^2 + (g1^2*t^7.255)/(g2^3*g3^3) + (g2*t^7.255)/g3^3 + t^7.255/(g2*g3) + (g3*t^7.255)/g2^3 + (g2*g3*t^7.255)/g1^2 + (4*t^7.533)/(g2^6*g3^6) + (g1^3*g2*t^8.234)/g3 + (g1^2*g2^3*t^8.234)/g3 + (g1*g2^5*t^8.234)/g3 + (g1^3*g3*t^8.234)/g2 + g1^2*g2*g3*t^8.234 + 2*g1*g2^3*g3*t^8.234 + g2^5*g3*t^8.234 + (g2^7*g3*t^8.234)/g1 + (g1^2*g3^3*t^8.234)/g2 + 2*g1*g2*g3^3*t^8.234 + g2^3*g3^3*t^8.234 + (2*g2^5*g3^3*t^8.234)/g1 + (g2^7*g3^3*t^8.234)/g1^2 + (g1*g3^5*t^8.234)/g2 + g2*g3^5*t^8.234 + (2*g2^3*g3^5*t^8.234)/g1 + (g2^5*g3^5*t^8.234)/g1^2 + (g2^7*g3^5*t^8.234)/g1^3 + (g2*g3^7*t^8.234)/g1 + (g2^3*g3^7*t^8.234)/g1^2 + (g2^5*g3^7*t^8.234)/g1^3 - t^8.511/g1^2 - t^8.511/g2^4 - t^8.511/g3^4 - (g1^2*t^8.511)/(g2^4*g3^4) - (3*t^8.511)/(g2^2*g3^2) - t^4.255/(g2*g3*y) - (2*t^6.766)/(g2^3*g3^3*y) + (2*g2*g3*t^7.745)/y + t^8.022/(g2^4*g3^4*y) - (t^4.255*y)/(g2*g3) - (2*t^6.766*y)/(g2^3*g3^3) + 2*g2*g3*t^7.745*y + (t^8.022*y)/(g2^4*g3^4) |
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 |
---|---|---|---|---|---|---|---|---|
78 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7103 | 0.8462 | 0.8394 | [M:[0.8699, 1.1301], q:[0.5651, 0.5651], qb:[0.5651, 0.5651], phi:[0.4349]] | t^2.61 + 6*t^3.39 + 10*t^4.695 + t^5.219 - 10*t^6. - t^4.305/y - t^4.305*y | detail | |
79 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.7394 | 0.8922 | 0.8287 | [M:[0.8151, 0.7774], q:[0.6113, 0.5736], qb:[0.6113, 0.5736], phi:[0.4075]] | t^2.332 + 2*t^2.445 + t^3.441 + 3*t^3.555 + 4*t^4.664 + 6*t^4.777 + 6*t^4.891 + t^5.774 + t^5.887 - 2*t^6. - t^4.223/y - t^4.223*y | detail | |
45841 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0.7394 | 0.8922 | 0.8287 | [M:[0.8151, 0.7774], q:[0.5736, 0.6113], qb:[0.6113, 0.5736], phi:[0.4075]] | t^2.332 + 2*t^2.445 + t^3.441 + 3*t^3.555 + 4*t^4.664 + 6*t^4.777 + 6*t^4.891 + t^5.774 + t^5.887 - 2*t^6. - t^4.223/y - t^4.223*y | detail | |
45845 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6696 | 0.8036 | 0.8333 | [M:[0.7619], q:[0.4286, 0.8095], qb:[0.619, 0.619], phi:[0.381]] | 2*t^2.286 + 2*t^3.143 + 2*t^3.714 + 4*t^4.286 + 3*t^4.571 + 3*t^4.857 + 2*t^5.429 - 2*t^6. - t^4.143/y - t^4.143*y | detail | {a: 75/112, c: 45/56, M1: 16/21, q1: 3/7, q2: 17/21, qb1: 13/21, qb2: 13/21, phi1: 8/21} |
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 |
---|---|---|---|---|---|---|---|---|---|
40 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ | 0.7247 | 0.8687 | 0.8342 | [M:[0.7995], q:[0.6003, 0.6003], qb:[0.5581, 0.5581], phi:[0.4208]] | t^2.398 + t^2.525 + t^3.349 + 4*t^3.475 + 3*t^4.611 + 4*t^4.738 + t^4.797 + 3*t^4.864 + t^4.923 + t^5.05 + t^5.747 + t^5.874 - 4*t^6. - t^4.262/y - t^4.262*y | detail |