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 |
---|---|---|---|---|---|---|---|---|---|
4011 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6249 | 0.7749 | 0.8064 | [M:[1.1, 1.2, 0.7, 1.0, 0.9, 0.7, 1.0], q:[0.8, 0.6], qb:[0.3, 0.7], phi:[0.4]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 9999/16000, c: 12399/16000, M1: 11/10, M2: 6/5, M3: 7/10, M4: 1, M5: 9/10, M6: 7/10, M7: 1, q1: 4/5, q2: 3/5, qb1: 3/10, qb2: 7/10, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$ | ${}M_{7}^{2}$ | 0 | 2*t^2.1 + t^2.7 + 2*t^3. + t^3.3 + t^3.6 + 5*t^4.2 + t^4.5 + 2*t^4.8 + 4*t^5.1 + 4*t^5.4 + 2*t^5.7 + 8*t^6.3 + 2*t^6.6 + 2*t^6.9 + 7*t^7.2 + 7*t^7.5 + 4*t^7.8 - t^8.1 + 12*t^8.4 + 2*t^8.7 - t^4.2/y - (2*t^6.3)/y + t^7.2/y + (2*t^7.8)/y + (6*t^8.1)/y - t^8.4/y + (4*t^8.7)/y - t^4.2*y - 2*t^6.3*y + t^7.2*y + 2*t^7.8*y + 6*t^8.1*y - t^8.4*y + 4*t^8.7*y | 2*t^2.1 + t^2.7 + 2*t^3. + t^3.3 + t^3.6 + 5*t^4.2 + t^4.5 + 2*t^4.8 + 4*t^5.1 + 4*t^5.4 + 2*t^5.7 + 8*t^6.3 + 2*t^6.6 + 2*t^6.9 + 7*t^7.2 + 7*t^7.5 + 4*t^7.8 - t^8.1 + 12*t^8.4 + 2*t^8.7 - t^4.2/y - (2*t^6.3)/y + t^7.2/y + (2*t^7.8)/y + (6*t^8.1)/y - t^8.4/y + (4*t^8.7)/y - t^4.2*y - 2*t^6.3*y + t^7.2*y + 2*t^7.8*y + 6*t^8.1*y - 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 |
---|---|---|---|---|---|---|---|---|
5581 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6414 | 0.8039 | 0.7979 | [M:[1.1, 1.2, 0.7, 1.0, 0.9, 0.7, 1.0, 0.8], q:[0.8, 0.6], qb:[0.3, 0.7], phi:[0.4]] | 2*t^2.1 + t^2.4 + t^2.7 + 2*t^3. + t^3.3 + 5*t^4.2 + 3*t^4.5 + 3*t^4.8 + 5*t^5.1 + 6*t^5.4 + t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 10263/16000, c: 12863/16000, M1: 11/10, M2: 6/5, M3: 7/10, M4: 1, M5: 9/10, M6: 7/10, M7: 1, M8: 4/5, q1: 4/5, q2: 3/5, qb1: 3/10, qb2: 7/10, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
1619 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6762 | 0.8432 | 0.8019 | [M:[1.168, 1.1093, 0.9495, 1.0, 0.832, 0.7227, 0.7732], q:[0.7773, 0.4412], qb:[0.3907, 0.6093], phi:[0.4454]] | t^2.168 + t^2.32 + t^2.496 + t^2.848 + t^3. + t^3.328 + t^3.504 + t^3.656 + t^3.983 + t^4.16 + 2*t^4.336 + 2*t^4.488 + t^4.639 + t^4.664 + t^4.815 + 2*t^4.992 + t^5.017 + 2*t^5.168 + t^5.32 + t^5.496 + t^5.647 + t^5.672 + t^5.697 + 3*t^5.824 + t^5.975 - t^6. - t^4.336/y - t^4.336*y | detail |