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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [M:[[1, 0, 1], [-1, 0, -1]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 | {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} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ 2}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ 2}\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 17 | 7*t^2.4 + 3*t^3.6 + 36*t^4.8 + 17*t^6. + 138*t^7.2 + 45*t^8.4 - t^4.2/y - t^5.4/y - (7*t^6.6)/y + (16*t^7.8)/y - t^4.2*y - t^5.4*y - 7*t^6.6*y + 16*t^7.8*y | t^2.4 + t^2.4/(g1*g2) + g1*g2*t^2.4 + (2*t^2.4)/(g1*g3) + 2*g1*g3*t^2.4 + t^3.6 + t^3.6/(g1*g2) + g1*g2*t^3.6 + 6*t^4.8 + t^4.8/(g1^2*g2^2) + (2*t^4.8)/(g1*g2) + 2*g1*g2*t^4.8 + g1^2*g2^2*t^4.8 + (3*t^4.8)/(g1^2*g3^2) + t^4.8/(g1*g2^2*g3^2) + (3*t^4.8)/(g1*g3) + (2*t^4.8)/(g1^2*g2*g3) + (g1*t^4.8)/(g2*g3) + (2*g2*t^4.8)/g3 + 3*g1*g3*t^4.8 + (2*g3*t^4.8)/g2 + 2*g1^2*g2*g3*t^4.8 + g2^2*g3*t^4.8 + 3*g1^2*g3^2*t^4.8 + g2*g3^2*t^4.8 - t^6. + t^6./(g1^2*g2^2) + (2*t^6.)/(g1*g2) + 2*g1*g2*t^6. + g1^2*g2^2*t^6. + t^6./(g1*g2^2*g3^2) + (2*t^6.)/(g1*g3) + t^6./(g1^2*g2*g3) + (g1*t^6.)/(g2*g3) + (g2*t^6.)/g3 + 2*g1*g3*t^6. + (g3*t^6.)/g2 + g1^2*g2*g3*t^6. + g2^2*g3*t^6. + g2*g3^2*t^6. + 10*t^7.2 + g1^3*t^7.2 + t^7.2/(g1^3*g2^3) + (3*t^7.2)/(g1^2*g2^2) + (7*t^7.2)/(g1*g2) + (2*g1^2*t^7.2)/g2 + 7*g1*g2*t^7.2 + (2*g2^2*t^7.2)/g1 + 3*g1^2*g2^2*t^7.2 + g2^3*t^7.2 + g1^3*g2^3*t^7.2 + (4*t^7.2)/(g1^3*g3^3) + t^7.2/(g1^3*g2^3*g3^3) + (2*t^7.2)/(g1^2*g2^2*g3^3) + (5*t^7.2)/(g1^2*g3^2) + t^7.2/(g1^2*g2^3*g3^2) + (2*t^7.2)/(g1*g2^2*g3^2) + (2*t^7.2)/(g2*g3^2) + (3*t^7.2)/(g1^3*g2*g3^2) + (3*g2*t^7.2)/(g1*g3^2) + (10*t^7.2)/(g1*g3) + (g1^2*t^7.2)/g3 + (2*t^7.2)/(g2^2*g3) + (2*t^7.2)/(g1^3*g2^2*g3) + (4*t^7.2)/(g1^2*g2*g3) + (2*g1*t^7.2)/(g2*g3) + (4*g2*t^7.2)/g3 + (2*g1*g2^2*t^7.2)/g3 + 10*g1*g3*t^7.2 + (2*g3*t^7.2)/(g1*g2^2) + (4*g3*t^7.2)/g2 + (2*g2*g3*t^7.2)/g1 + 4*g1^2*g2*g3*t^7.2 + 2*g2^2*g3*t^7.2 + 2*g1^3*g2^2*g3*t^7.2 + g1*g2^3*g3*t^7.2 + (g3^2*t^7.2)/g1 + 5*g1^2*g3^2*t^7.2 + (3*g1*g3^2*t^7.2)/g2 + 2*g2*g3^2*t^7.2 + 3*g1^3*g2*g3^2*t^7.2 + 2*g1*g2^2*g3^2*t^7.2 + g3^3*t^7.2 + 4*g1^3*g3^3*t^7.2 + 2*g1*g2*g3^3*t^7.2 + 3*t^8.4 + t^8.4/(g1^3*g2^3) + (3*t^8.4)/(g1^2*g2^2) + (g1^2*t^8.4)/g2 + (g2^2*t^8.4)/g1 + 3*g1^2*g2^2*t^8.4 + g1^3*g2^3*t^8.4 + t^8.4/(g1^2*g2^2*g3^3) + (3*t^8.4)/(g1^2*g3^2) + t^8.4/(g1^2*g2^3*g3^2) + t^8.4/(g1*g2^2*g3^2) + t^8.4/(g2*g3^2) + t^8.4/(g1^3*g2*g3^2) + (g2*t^8.4)/(g1*g3^2) - (4*t^8.4)/(g1*g3) + (g1^2*t^8.4)/g3 + t^8.4/(g2^2*g3) + t^8.4/(g1^3*g2^2*g3) + (3*t^8.4)/(g1^2*g2*g3) + (g1*t^8.4)/(g2*g3) + (3*g2*t^8.4)/g3 + (g1*g2^2*t^8.4)/g3 - 4*g1*g3*t^8.4 + (g3*t^8.4)/(g1*g2^2) + (3*g3*t^8.4)/g2 + (g2*g3*t^8.4)/g1 + 3*g1^2*g2*g3*t^8.4 + g2^2*g3*t^8.4 + g1^3*g2^2*g3*t^8.4 + g1*g2^3*g3*t^8.4 + (g3^2*t^8.4)/g1 + 3*g1^2*g3^2*t^8.4 + (g1*g3^2*t^8.4)/g2 + g2*g3^2*t^8.4 + g1^3*g2*g3^2*t^8.4 + g1*g2^2*g3^2*t^8.4 + g1*g2*g3^3*t^8.4 - t^4.2/y - t^5.4/y - t^6.6/y - t^6.6/(g1*g2*y) - (g1*g2*t^6.6)/y - (2*t^6.6)/(g1*g3*y) - (2*g1*g3*t^6.6)/y + (4*t^7.8)/y + t^7.8/(g1^2*g3^2*y) + t^7.8/(g1*g3*y) + (2*t^7.8)/(g1^2*g2*g3*y) + (2*g2*t^7.8)/(g3*y) + (g1*g3*t^7.8)/y + (2*g3*t^7.8)/(g2*y) + (2*g1^2*g2*g3*t^7.8)/y + (g1^2*g3^2*t^7.8)/y - t^4.2*y - t^5.4*y - t^6.6*y - (t^6.6*y)/(g1*g2) - g1*g2*t^6.6*y - (2*t^6.6*y)/(g1*g3) - 2*g1*g3*t^6.6*y + 4*t^7.8*y + (t^7.8*y)/(g1^2*g3^2) + (t^7.8*y)/(g1*g3) + (2*t^7.8*y)/(g1^2*g2*g3) + (2*g2*t^7.8*y)/g3 + g1*g3*t^7.8*y + (2*g3*t^7.8*y)/g2 + 2*g1^2*g2*g3*t^7.8*y + g1^2*g3^2*t^7.8*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 |
---|---|---|---|---|---|---|---|---|
58380 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 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]] | 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. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
58379 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.4595 | 1.747 | 0.8354 | [X:[], M:[0.8, 0.8, 0.8], q:[0.4, 0.4], qb:[0.4, 0.4], phi:[0.4]] | 8*t^2.4 + 2*t^3.6 + 44*t^4.8 + 12*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 2919/2000, c: 1747/1000, M1: 4/5, M2: 4/5, M3: 4/5, q1: 2/5, q2: 2/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
58374 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.356 | 1.631 | 0.8314 | [X:[], M:[0.7303, 0.8697], q:[0.5842, 0.4316], qb:[0.2855, 0.2987], phi:[0.4]] | t^2.15 + 2*t^2.19 + t^2.4 + 2*t^2.61 + t^2.65 + t^3.35 + t^3.6 + t^3.81 + 2*t^3.85 + t^4.3 + 2*t^4.34 + 3*t^4.38 + 2*t^4.55 + 3*t^4.59 + 2*t^4.76 + 6*t^4.8 + 2*t^4.84 + 4*t^5.01 + 3*t^5.05 + 3*t^5.22 + 2*t^5.26 + t^5.3 + t^5.5 + 2*t^5.54 + 2*t^5.75 + 2*t^5.79 + 2*t^5.96 + 2*t^6. - 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 |
---|---|---|---|---|---|---|---|---|---|
47890 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.427 | 1.6906 | 0.8441 | [M:[0.7823], q:[0.4088, 0.3912], qb:[0.4088, 0.3912], phi:[0.4]] | 2*t^2.347 + 3*t^2.4 + t^2.453 + t^3.547 + 3*t^3.6 + 3*t^4.694 + 7*t^4.747 + 2*t^4.773 + 10*t^4.8 + 2*t^4.827 + 4*t^4.853 + t^4.906 + 2*t^5.894 + 7*t^5.947 + 2*t^5.973 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |