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 |
---|---|---|---|---|---|---|---|---|---|
58380 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.46 | 1.7486 | 0.835 | [X:[], M:[0.8, 0.8, 0.7823], q:[0.3912, 0.4088], qb:[0.4088, 0.3912], phi:[0.4]] | [X:[], M:[[1, 0, 1], [-1, 0, -1], [-1, -1, 0]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | 2*t^2.35 + 5*t^2.4 + t^2.45 + t^3.55 + t^3.6 + 3*t^4.69 + 11*t^4.75 + 2*t^4.77 + 19*t^4.8 + 2*t^4.83 + 6*t^4.85 + t^4.91 + 2*t^5.89 + 5*t^5.95 + 2*t^5.97 + 2*t^6. + 2*t^6.03 - t^6.05 + 4*t^7.04 + 18*t^7.09 + 6*t^7.12 + 40*t^7.15 + 14*t^7.17 + 53*t^7.2 + 12*t^7.23 + 21*t^7.25 + 4*t^7.28 + 6*t^7.31 + t^7.36 + 3*t^8.24 + 10*t^8.29 + 4*t^8.32 + 9*t^8.35 + 8*t^8.37 - 6*t^8.4 + 4*t^8.43 - 10*t^8.45 - t^8.51 - t^4.2/y - t^5.4/y - (2*t^6.55)/y - (5*t^6.6)/y - t^6.65/y + t^7.69/y + (8*t^7.75)/y + (9*t^7.8)/y + (5*t^7.85)/y - t^8.89/y - (4*t^8.95)/y - t^4.2*y - t^5.4*y - 2*t^6.55*y - 5*t^6.6*y - t^6.65*y + t^7.69*y + 8*t^7.75*y + 9*t^7.8*y + 5*t^7.85*y - t^8.89*y - 4*t^8.95*y | (2*t^2.35)/(g1*g2) + t^2.4 + (2*t^2.4)/(g1*g3) + 2*g1*g3*t^2.4 + g1*g2*t^2.45 + t^3.55/(g1*g2) + t^3.6 + (3*t^4.69)/(g1^2*g2^2) + (3*t^4.75)/(g1*g2) + (4*t^4.75)/(g1^2*g2*g3) + (4*g3*t^4.75)/g2 + t^4.77/(g1*g2^2*g3^2) + g2*g3^2*t^4.77 + 7*t^4.8 + (3*t^4.8)/(g1^2*g3^2) + (3*t^4.8)/(g1*g3) + 3*g1*g3*t^4.8 + 3*g1^2*g3^2*t^4.8 + (g1*t^4.83)/(g2*g3) + g2^2*g3*t^4.83 + 2*g1*g2*t^4.85 + (2*g2*t^4.85)/g3 + 2*g1^2*g2*g3*t^4.85 + g1^2*g2^2*t^4.91 + (2*t^5.89)/(g1^2*g2^2) + (3*t^5.95)/(g1*g2) + t^5.95/(g1^2*g2*g3) + (g3*t^5.95)/g2 + t^5.97/(g1*g2^2*g3^2) + g2*g3^2*t^5.97 - 2*t^6. + (2*t^6.)/(g1*g3) + 2*g1*g3*t^6. + (g1*t^6.03)/(g2*g3) + g2^2*g3*t^6.03 + g1*g2*t^6.05 - (g2*t^6.05)/g3 - g1^2*g2*g3*t^6.05 + (4*t^7.04)/(g1^3*g2^3) + (6*t^7.09)/(g1^2*g2^2) + (6*t^7.09)/(g1^3*g2^2*g3) + (6*g3*t^7.09)/(g1*g2^2) + t^7.12/(g1^3*g2^3*g3^3) + (2*t^7.12)/(g1^2*g2^3*g3^2) + (2*g3^2*t^7.12)/g1 + g3^3*t^7.12 + (14*t^7.15)/(g1*g2) + (6*t^7.15)/(g1^3*g2*g3^2) + (7*t^7.15)/(g1^2*g2*g3) + (7*g3*t^7.15)/g2 + (6*g1*g3^2*t^7.15)/g2 + (2*t^7.17)/(g1^2*g2^2*g3^3) + (2*t^7.17)/(g1*g2^2*g3^2) + (3*t^7.17)/(g2^2*g3) + (3*g2*g3*t^7.17)/g1 + 2*g2*g3^2*t^7.17 + 2*g1*g2*g3^3*t^7.17 + 11*t^7.2 + (4*t^7.2)/(g1^3*g3^3) + (5*t^7.2)/(g1^2*g3^2) + (12*t^7.2)/(g1*g3) + 12*g1*g3*t^7.2 + 5*g1^2*g3^2*t^7.2 + 4*g1^3*g3^3*t^7.2 + (2*g1^2*t^7.23)/g2 + (2*g2^2*t^7.23)/g1 + (2*t^7.23)/(g2*g3^2) + (2*g1*t^7.23)/(g2*g3) + 2*g2^2*g3*t^7.23 + 2*g1*g2^2*g3^2*t^7.23 + 7*g1*g2*t^7.25 + (3*g2*t^7.25)/(g1*g3^2) + (4*g2*t^7.25)/g3 + 4*g1^2*g2*g3*t^7.25 + 3*g1^3*g2*g3^2*t^7.25 + g1^3*t^7.28 + g2^3*t^7.28 + (g1^2*t^7.28)/g3 + g1*g2^3*g3*t^7.28 + 2*g1^2*g2^2*t^7.31 + (2*g1*g2^2*t^7.31)/g3 + 2*g1^3*g2^2*g3*t^7.31 + g1^3*g2^3*t^7.36 + (3*t^8.24)/(g1^3*g2^3) + (6*t^8.29)/(g1^2*g2^2) + (2*t^8.29)/(g1^3*g2^2*g3) + (2*g3*t^8.29)/(g1*g2^2) + (2*t^8.32)/(g1^2*g2^3*g3^2) + (2*g3^2*t^8.32)/g1 - (3*t^8.35)/(g1*g2) + t^8.35/(g1^3*g2*g3^2) + (5*t^8.35)/(g1^2*g2*g3) + (5*g3*t^8.35)/g2 + (g1*g3^2*t^8.35)/g2 + t^8.37/(g1^2*g2^2*g3^3) + t^8.37/(g1*g2^2*g3^2) + (2*t^8.37)/(g2^2*g3) + (2*g2*g3*t^8.37)/g1 + g2*g3^2*t^8.37 + g1*g2*g3^3*t^8.37 + 2*t^8.4 + (3*t^8.4)/(g1^2*g3^2) - (7*t^8.4)/(g1*g3) - 7*g1*g3*t^8.4 + 3*g1^2*g3^2*t^8.4 + (g1^2*t^8.43)/g2 + (g2^2*t^8.43)/g1 + (g1*t^8.43)/(g2*g3) + g2^2*g3*t^8.43 - 6*g1*g2*t^8.45 - (2*g2*t^8.45)/(g1*g3^2) - 2*g1^3*g2*g3^2*t^8.45 + g1^2*g2^2*t^8.51 - (g1*g2^2*t^8.51)/g3 - g1^3*g2^2*g3*t^8.51 - t^4.2/y - t^5.4/y - (2*t^6.55)/(g1*g2*y) - t^6.6/y - (2*t^6.6)/(g1*g3*y) - (2*g1*g3*t^6.6)/y - (g1*g2*t^6.65)/y + t^7.69/(g1^2*g2^2*y) + (4*t^7.75)/(g1^2*g2*g3*y) + (4*g3*t^7.75)/(g2*y) + (5*t^7.8)/y + t^7.8/(g1^2*g3^2*y) + t^7.8/(g1*g3*y) + (g1*g3*t^7.8)/y + (g1^2*g3^2*t^7.8)/y + (g1*g2*t^7.85)/y + (2*g2*t^7.85)/(g3*y) + (2*g1^2*g2*g3*t^7.85)/y - t^8.89/(g1^2*g2^2*y) - (2*t^8.95)/(g1^2*g2*g3*y) - (2*g3*t^8.95)/(g2*y) - t^4.2*y - t^5.4*y - (2*t^6.55*y)/(g1*g2) - t^6.6*y - (2*t^6.6*y)/(g1*g3) - 2*g1*g3*t^6.6*y - g1*g2*t^6.65*y + (t^7.69*y)/(g1^2*g2^2) + (4*t^7.75*y)/(g1^2*g2*g3) + (4*g3*t^7.75*y)/g2 + 5*t^7.8*y + (t^7.8*y)/(g1^2*g3^2) + (t^7.8*y)/(g1*g3) + g1*g3*t^7.8*y + g1^2*g3^2*t^7.8*y + g1*g2*t^7.85*y + (2*g2*t^7.85*y)/g3 + 2*g1^2*g2*g3*t^7.85*y - (t^8.89*y)/(g1^2*g2^2) - (2*t^8.95*y)/(g1^2*g2*g3) - (2*g3*t^8.95*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|
61151 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.4598 | 1.7478 | 0.8352 | [X:[], M:[0.7915, 0.8085, 0.7915], q:[0.4, 0.4], qb:[0.4085, 0.3916], phi:[0.4]] | 4*t^2.37 + t^2.4 + 3*t^2.43 + t^3.57 + t^3.6 + 10*t^4.75 + 7*t^4.77 + 15*t^4.8 + 6*t^4.83 + 6*t^4.85 + 3*t^5.95 + 6*t^5.97 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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 |
---|---|---|---|---|---|---|---|---|---|
57355 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.443 | 1.718 | 0.8399 | [M:[0.8, 0.8], q:[0.4, 0.4], qb:[0.4, 0.4], phi:[0.4]] | 7*t^2.4 + 3*t^3.6 + 36*t^4.8 + 17*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 1443/1000, c: 859/500, M1: 4/5, M2: 4/5, q1: 2/5, q2: 2/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |