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 |
---|---|---|---|---|---|---|---|---|---|
58620 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.9859 | 1.1891 | 0.8291 | [X:[1.4957, 1.4957, 1.5043, 1.5043], M:[0.7478], q:[0.2507, 0.2507], qb:[0.2536, 0.245], phi:[0.5]] | [X:[[-6], [-6], [6], [6]], M:[[-3]], q:[[1], [1]], qb:[[5], [-7]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }X_{4}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.24 + 2*t^2.99 + t^3. + 2*t^3.01 + t^3.73 + 2*t^3.76 + 5*t^4.49 + t^4.5 + 4*t^4.51 + 3*t^5.23 + t^5.24 + 5*t^5.26 + 3*t^5.97 + 2*t^6.03 + t^6.7 + 2*t^6.72 + 6*t^6.73 + t^6.74 + 8*t^6.76 + 2*t^6.77 + t^6.78 + t^7.46 + 10*t^7.47 + 5*t^7.49 + 16*t^7.5 + 5*t^7.51 + 7*t^7.53 - t^8.2 + 5*t^8.22 + 4*t^8.24 - 3*t^8.26 + 4*t^8.27 - t^8.28 + t^8.95 + 5*t^8.96 + 13*t^8.97 - 6*t^8.99 - t^4.5/y - t^6./y - t^6.74/y + t^7.5/y + (2*t^8.23)/y + (3*t^8.26)/y + (2*t^8.97)/y - (3*t^8.99)/y - t^4.5*y - t^6.*y - t^6.74*y + t^7.5*y + 2*t^8.23*y + 3*t^8.26*y + 2*t^8.97*y - 3*t^8.99*y | t^2.24/g1^3 + (2*t^2.99)/g1^6 + t^3. + 2*g1^6*t^3.01 + t^3.73/g1^9 + 2*g1^3*t^3.76 + (5*t^4.49)/g1^6 + t^4.5 + 4*g1^6*t^4.51 + (3*t^5.23)/g1^9 + t^5.24/g1^3 + 5*g1^3*t^5.26 + (3*t^5.97)/g1^12 + 2*g1^12*t^6.03 + t^6.7/g1^21 + (2*t^6.72)/g1^15 + (6*t^6.73)/g1^9 + t^6.74/g1^3 + 8*g1^3*t^6.76 + 2*g1^9*t^6.77 + g1^15*t^6.78 + t^7.46/g1^18 + (10*t^7.47)/g1^12 + (5*t^7.49)/g1^6 + 16*t^7.5 + 5*g1^6*t^7.51 + 7*g1^12*t^7.53 - t^8.2/g1^21 + (5*t^8.22)/g1^15 + (4*t^8.24)/g1^3 - 3*g1^3*t^8.26 + 4*g1^9*t^8.27 - g1^15*t^8.28 + t^8.95/g1^24 + (5*t^8.96)/g1^18 + (13*t^8.97)/g1^12 - (6*t^8.99)/g1^6 - t^4.5/y - t^6./y - t^6.74/(g1^3*y) + t^7.5/y + (2*t^8.23)/(g1^9*y) + (3*g1^3*t^8.26)/y + (2*t^8.97)/(g1^12*y) - (3*t^8.99)/(g1^6*y) - t^4.5*y - t^6.*y - (t^6.74*y)/g1^3 + t^7.5*y + (2*t^8.23*y)/g1^9 + 3*g1^3*t^8.26*y + (2*t^8.97*y)/g1^12 - (3*t^8.99*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|
61054 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.0051 | 1.2243 | 0.8209 | [X:[1.4916, 1.4916, 1.5084, 1.5084], M:[0.7458, 0.7458], q:[0.2514, 0.2514], qb:[0.257, 0.2402], phi:[0.5]] | 2*t^2.24 + 2*t^2.97 + t^3. + 2*t^3.03 + t^3.71 + t^3.76 + 7*t^4.47 + t^4.5 + 4*t^4.53 + 5*t^5.21 + 2*t^5.24 + 7*t^5.26 + 4*t^5.95 - t^4.5/y - t^6./y - t^4.5*y - t^6.*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 |
---|---|---|---|---|---|---|---|---|---|
57742 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}q_{2}^{2}$ | 0.9862 | 1.1906 | 0.8284 | [X:[1.5, 1.5, 1.5, 1.5], M:[0.7307], q:[0.2564, 0.2564], qb:[0.2436, 0.2436], phi:[0.5]] | t^2.19 + 5*t^3. + 2*t^3.69 + t^3.81 + t^4.38 + 9*t^4.5 + 7*t^5.19 + 2*t^5.31 + 2*t^5.88 + 3*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |