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 |
---|---|---|---|---|---|---|---|---|---|
1078 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6303 | 0.781 | 0.8071 | [M:[0.7897, 1.2, 0.8103, 0.8, 1.2103, 0.7793], q:[0.8, 0.4103], qb:[0.8, 0.3897], phi:[0.4]] | [M:[[1], [0], [-1], [0], [-1], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0 | t^2.338 + 2*t^2.4 + t^2.431 + t^3.538 + t^3.569 + t^3.6 + 2*t^3.631 + t^4.676 + 2*t^4.738 + t^4.769 + 4*t^4.8 + 2*t^4.831 + t^4.862 + t^5.876 + t^5.907 + 2*t^5.938 + 3*t^5.969 + 3*t^6.031 + t^6.062 + t^7.014 + 3*t^7.076 + 2*t^7.107 + 4*t^7.138 + t^7.169 + 5*t^7.2 + 2*t^7.231 + 3*t^7.262 + t^7.293 + t^8.214 + t^8.245 + 2*t^8.276 + 3*t^8.307 + t^8.338 + 2*t^8.369 - t^8.4 + 2*t^8.431 + t^8.493 - t^4.2/y - t^6.538/y - t^6.6/y - t^6.631/y + (2*t^7.738)/y + (2*t^7.769)/y + (2*t^7.8)/y + (2*t^7.831)/y + t^7.862/y + t^8.907/y + (2*t^8.938)/y + (4*t^8.969)/y - t^4.2*y - t^6.538*y - t^6.6*y - t^6.631*y + 2*t^7.738*y + 2*t^7.769*y + 2*t^7.8*y + 2*t^7.831*y + t^7.862*y + t^8.907*y + 2*t^8.938*y + 4*t^8.969*y | g1^2*t^2.338 + 2*t^2.4 + t^2.431/g1 + g1^2*t^3.538 + g1*t^3.569 + t^3.6 + (2*t^3.631)/g1 + g1^4*t^4.676 + 2*g1^2*t^4.738 + g1*t^4.769 + 4*t^4.8 + (2*t^4.831)/g1 + t^4.862/g1^2 + g1^4*t^5.876 + g1^3*t^5.907 + 2*g1^2*t^5.938 + 3*g1*t^5.969 + (3*t^6.031)/g1 + t^6.062/g1^2 + g1^6*t^7.014 + 3*g1^4*t^7.076 + 2*g1^3*t^7.107 + 4*g1^2*t^7.138 + g1*t^7.169 + 5*t^7.2 + (2*t^7.231)/g1 + (3*t^7.262)/g1^2 + t^7.293/g1^3 + g1^6*t^8.214 + g1^5*t^8.245 + 2*g1^4*t^8.276 + 3*g1^3*t^8.307 + g1^2*t^8.338 + 2*g1*t^8.369 - t^8.4 + (2*t^8.431)/g1 + t^8.493/g1^3 - t^4.2/y - (g1^2*t^6.538)/y - t^6.6/y - t^6.631/(g1*y) + (2*g1^2*t^7.738)/y + (2*g1*t^7.769)/y + (2*t^7.8)/y + (2*t^7.831)/(g1*y) + t^7.862/(g1^2*y) + (g1^3*t^8.907)/y + (2*g1^2*t^8.938)/y + (4*g1*t^8.969)/y - t^4.2*y - g1^2*t^6.538*y - t^6.6*y - (t^6.631*y)/g1 + 2*g1^2*t^7.738*y + 2*g1*t^7.769*y + 2*t^7.8*y + (2*t^7.831*y)/g1 + (t^7.862*y)/g1^2 + g1^3*t^8.907*y + 2*g1^2*t^8.938*y + 4*g1*t^8.969*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 |
---|---|---|---|---|---|---|---|---|
1675 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ | 0.5973 | 0.741 | 0.806 | [M:[0.9, 1.2, 0.7, 0.8, 1.1, 1.0], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | t^2.1 + 2*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.5 + 4*t^4.8 + t^5.1 + 3*t^5.4 + 3*t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 19113/32000, c: 23713/32000, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 11/10, M6: 1, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5} |
1677 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6468 | 0.8098 | 0.7987 | [M:[0.8085, 1.2, 0.7915, 0.8, 1.1915, 0.8169, 0.7831], q:[0.8, 0.3915], qb:[0.8, 0.4085], phi:[0.4]] | t^2.349 + t^2.375 + 2*t^2.4 + t^2.451 + 2*t^3.575 + t^3.6 + t^3.625 + t^4.699 + t^4.724 + 3*t^4.749 + 2*t^4.775 + 5*t^4.8 + t^4.825 + 2*t^4.851 + t^4.901 + 2*t^5.924 + 2*t^5.949 + 4*t^5.975 - 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 |
---|---|---|---|---|---|---|---|---|---|
671 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6139 | 0.7523 | 0.8161 | [M:[0.8136, 1.2, 0.7864, 0.8, 1.1864], q:[0.8, 0.3864], qb:[0.8, 0.4136], phi:[0.4]] | t^2.359 + 2*t^2.4 + t^3.518 + 2*t^3.559 + t^3.6 + t^3.641 + t^3.682 + t^4.718 + 2*t^4.759 + 4*t^4.8 + t^5.877 + 3*t^5.918 + 3*t^5.959 - t^4.2/y - t^4.2*y | detail |