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 |
---|---|---|---|---|---|---|---|---|---|
1594 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.723 | 0.9046 | 0.7992 | [M:[1.0, 1.1624, 0.9316, 1.0, 0.7436, 0.6752, 0.6752], q:[0.7906, 0.5342], qb:[0.4658, 0.5342], phi:[0.4188]] | [M:[[0], [4], [-14], [0], [6], [-8], [-8]], q:[[1], [7]], qb:[[-7], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$ | ${}M_{1}^{2}$, ${ }M_{4}^{2}$ | -2 | 2*t^2.026 + t^2.231 + t^2.795 + 2*t^3. + t^3.487 + 4*t^4.051 + 4*t^4.256 + 4*t^4.461 + 2*t^4.821 + 5*t^5.026 + 2*t^5.231 + 2*t^5.513 + t^5.59 + t^5.718 - 2*t^6. + 6*t^6.077 - 2*t^6.205 + 8*t^6.282 + 10*t^6.487 + 4*t^6.692 - 2*t^6.769 + 4*t^6.846 - t^6.974 + 10*t^7.051 + 7*t^7.256 + 4*t^7.461 + 3*t^7.539 + 2*t^7.616 + 2*t^7.744 + t^7.821 + t^7.949 - 6*t^8.026 + 9*t^8.103 - 10*t^8.231 + 14*t^8.308 + t^8.385 - 4*t^8.436 + 19*t^8.513 + 12*t^8.718 - 7*t^8.795 + 6*t^8.872 + 9*t^8.923 - t^4.256/y - (2*t^6.282)/y - t^6.487/y + (2*t^7.256)/y + t^7.461/y + (2*t^7.821)/y + (6*t^8.026)/y + (4*t^8.231)/y - (3*t^8.308)/y + (2*t^8.795)/y - t^4.256*y - 2*t^6.282*y - t^6.487*y + 2*t^7.256*y + t^7.461*y + 2*t^7.821*y + 6*t^8.026*y + 4*t^8.231*y - 3*t^8.308*y + 2*t^8.795*y | (2*t^2.026)/g1^8 + g1^6*t^2.231 + t^2.795/g1^14 + 2*t^3. + g1^4*t^3.487 + (4*t^4.051)/g1^16 + (4*t^4.256)/g1^2 + 4*g1^12*t^4.461 + (2*t^4.821)/g1^22 + (5*t^5.026)/g1^8 + 2*g1^6*t^5.231 + (2*t^5.513)/g1^4 + t^5.59/g1^28 + g1^10*t^5.718 - 2*t^6. + (6*t^6.077)/g1^24 - 2*g1^14*t^6.205 + (8*t^6.282)/g1^10 + 10*g1^4*t^6.487 + 4*g1^18*t^6.692 - (2*t^6.769)/g1^6 + (4*t^6.846)/g1^30 - g1^8*t^6.974 + (10*t^7.051)/g1^16 + (7*t^7.256)/g1^2 + 4*g1^12*t^7.461 + (3*t^7.539)/g1^12 + (2*t^7.616)/g1^36 + 2*g1^2*t^7.744 + t^7.821/g1^22 + g1^16*t^7.949 - (6*t^8.026)/g1^8 + (9*t^8.103)/g1^32 - 10*g1^6*t^8.231 + (14*t^8.308)/g1^18 + t^8.385/g1^42 - 4*g1^20*t^8.436 + (19*t^8.513)/g1^4 + 12*g1^10*t^8.718 - (7*t^8.795)/g1^14 + (6*t^8.872)/g1^38 + 9*g1^24*t^8.923 - t^4.256/(g1^2*y) - (2*t^6.282)/(g1^10*y) - (g1^4*t^6.487)/y + (2*t^7.256)/(g1^2*y) + (g1^12*t^7.461)/y + (2*t^7.821)/(g1^22*y) + (6*t^8.026)/(g1^8*y) + (4*g1^6*t^8.231)/y - (3*t^8.308)/(g1^18*y) + (2*t^8.795)/(g1^14*y) - (t^4.256*y)/g1^2 - (2*t^6.282*y)/g1^10 - g1^4*t^6.487*y + (2*t^7.256*y)/g1^2 + g1^12*t^7.461*y + (2*t^7.821*y)/g1^22 + (6*t^8.026*y)/g1^8 + 4*g1^6*t^8.231*y - (3*t^8.308*y)/g1^18 + (2*t^8.795*y)/g1^14 |
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 |
---|---|---|---|---|---|---|---|---|
3975 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ | 0.7188 | 0.8974 | 0.801 | [M:[1.0, 1.1429, 1.0, 1.0, 0.7143, 0.7143, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | 3*t^2.143 + 3*t^3. + t^3.429 + 12*t^4.286 + 9*t^5.143 + 3*t^5.571 - 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 3945/5488, c: 4925/5488, M1: 1, M2: 8/7, M3: 1, M4: 1, M5: 5/7, M6: 5/7, M7: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
1024 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7022 | 0.8635 | 0.8132 | [M:[1.0, 1.1619, 0.9333, 1.0, 0.7429, 0.6762], q:[0.7905, 0.5334], qb:[0.4666, 0.5334], phi:[0.419]] | t^2.029 + t^2.229 + t^2.8 + 2*t^3. + t^3.486 + t^3.971 + 2*t^4.057 + 3*t^4.257 + 4*t^4.457 + t^4.828 + 3*t^5.029 + 2*t^5.229 + t^5.514 + t^5.6 + t^5.714 - t^6. - t^4.257/y - t^4.257*y | detail |