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 |
---|---|---|---|---|---|---|---|---|---|
1960 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}q_{1}q_{2}$ | 0.6387 | 0.8075 | 0.791 | [M:[1.2, 1.1, 0.8, 0.9, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 20439/32000, c: 25839/32000, M1: 6/5, M2: 11/10, M3: 4/5, M4: 9/10, M5: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}M_{5}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 2 | 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 6*t^4.8 + 3*t^5.1 + 4*t^5.4 + 2*t^5.7 + 2*t^6. + 5*t^6.3 + 9*t^6.6 + 3*t^6.9 + 10*t^7.2 + 5*t^7.5 + 10*t^7.8 + 6*t^8.1 + 4*t^8.4 + 3*t^8.7 - t^4.5/y - t^6.9/y + (3*t^7.8)/y + (4*t^8.1)/y + (3*t^8.4)/y + (4*t^8.7)/y - t^4.5*y - t^6.9*y + 3*t^7.8*y + 4*t^8.1*y + 3*t^8.4*y + 4*t^8.7*y | 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 6*t^4.8 + 3*t^5.1 + 4*t^5.4 + 2*t^5.7 + 2*t^6. + 5*t^6.3 + 9*t^6.6 + 3*t^6.9 + 10*t^7.2 + 5*t^7.5 + 10*t^7.8 + 6*t^8.1 + 4*t^8.4 + 3*t^8.7 - t^4.5/y - t^6.9/y + (3*t^7.8)/y + (4*t^8.1)/y + (3*t^8.4)/y + (4*t^8.7)/y - t^4.5*y - t^6.9*y + 3*t^7.8*y + 4*t^8.1*y + 3*t^8.4*y + 4*t^8.7*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 |
---|---|---|---|---|---|---|---|---|
3008 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6478 | 0.8228 | 0.7873 | [M:[1.2, 1.1, 0.8, 0.9, 0.8, 0.9], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 3*t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 6*t^4.8 + 6*t^5.1 + 6*t^5.4 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 2073/3200, c: 2633/3200, M1: 6/5, M2: 11/10, M3: 4/5, M4: 9/10, M5: 4/5, M6: 9/10, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
637 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6406 | 0.8108 | 0.7901 | [M:[1.223, 1.1115, 0.777, 0.8885, 0.777], q:[0.75, 0.4156], qb:[0.3615, 0.473], phi:[0.5]] | 2*t^2.331 + t^2.503 + t^2.666 + t^3. + t^3.334 + t^3.497 + t^3.669 + t^3.831 + t^3.993 + t^4.003 + t^4.166 + t^4.338 + 3*t^4.662 + 2*t^4.834 + 2*t^4.997 + t^5.007 + t^5.169 + 3*t^5.331 + t^5.503 + 2*t^5.666 + t^5.828 + t^6. - t^4.5/y - t^4.5*y | detail |