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 |
---|---|---|---|---|---|---|---|---|---|
56972 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6232 | 0.7823 | 0.7966 | [M:[1.0909, 1.2727, 1.0303, 0.7273, 0.8485, 0.9091], q:[0.3333, 0.5758], qb:[0.3939, 0.7576], phi:[0.4848]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1659/2662, c: 4165/5324, M1: 12/11, M2: 14/11, M3: 34/33, M4: 8/11, M5: 28/33, M6: 10/11, q1: 1/3, q2: 19/33, qb1: 13/33, qb2: 25/33, phi1: 16/33} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}M_{5}\phi_{1}q_{1}^{2}$ | 1 | t^2.182 + t^2.545 + t^2.727 + t^2.909 + t^3.091 + t^3.273 + t^3.455 + t^3.636 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.727 + 2*t^4.909 + 2*t^5.091 + t^5.273 + 2*t^5.455 + 3*t^5.636 + 3*t^5.818 + t^6. + 2*t^6.182 + 3*t^6.364 + 3*t^6.545 + 2*t^6.727 + 3*t^6.909 + 4*t^7.091 + 3*t^7.273 + 2*t^7.455 + 5*t^7.636 + 4*t^7.818 + 3*t^8. + 3*t^8.182 + 4*t^8.364 + 3*t^8.545 + 3*t^8.727 + t^8.909 - t^4.455/y - t^7./y + t^7.727/y + (2*t^7.909)/y + t^8.091/y + (2*t^8.273)/y + (2*t^8.455)/y + (3*t^8.636)/y + (3*t^8.818)/y - t^4.455*y - t^7.*y + t^7.727*y + 2*t^7.909*y + t^8.091*y + 2*t^8.273*y + 2*t^8.455*y + 3*t^8.636*y + 3*t^8.818*y | t^2.182 + t^2.545 + t^2.727 + t^2.909 + t^3.091 + t^3.273 + t^3.455 + t^3.636 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.727 + 2*t^4.909 + 2*t^5.091 + t^5.273 + 2*t^5.455 + 3*t^5.636 + 3*t^5.818 + t^6. + 2*t^6.182 + 3*t^6.364 + 3*t^6.545 + 2*t^6.727 + 3*t^6.909 + 4*t^7.091 + 3*t^7.273 + 2*t^7.455 + 5*t^7.636 + 4*t^7.818 + 3*t^8. + 3*t^8.182 + 4*t^8.364 + 3*t^8.545 + 3*t^8.727 + t^8.909 - t^4.455/y - t^7./y + t^7.727/y + (2*t^7.909)/y + t^8.091/y + (2*t^8.273)/y + (2*t^8.455)/y + (3*t^8.636)/y + (3*t^8.818)/y - t^4.455*y - t^7.*y + t^7.727*y + 2*t^7.909*y + t^8.091*y + 2*t^8.273*y + 2*t^8.455*y + 3*t^8.636*y + 3*t^8.818*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 |
---|---|---|---|---|---|---|---|---|
58685 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{6}M_{7}$ | 0.6149 | 0.7683 | 0.8003 | [M:[1.0909, 1.2727, 1.0303, 0.7273, 0.8485, 0.9091, 1.0909], q:[0.3333, 0.5758], qb:[0.3939, 0.7576], phi:[0.4848]] | t^2.182 + t^2.545 + t^2.909 + t^3.091 + 2*t^3.273 + t^3.455 + t^3.636 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.727 + t^4.909 + 2*t^5.091 + 2*t^5.455 + 2*t^5.636 + 3*t^5.818 - t^4.455/y - t^4.455*y | detail | {a: 13095/21296, c: 8181/10648, M1: 12/11, M2: 14/11, M3: 34/33, M4: 8/11, M5: 28/33, M6: 10/11, M7: 12/11, q1: 1/3, q2: 19/33, qb1: 13/33, qb2: 25/33, phi1: 16/33} |
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 |
---|---|---|---|---|---|---|---|---|---|
55342 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6683 | 0.8337 | 0.8015 | [M:[0.9209, 1.1367, 1.0983, 0.8633, 0.8825, 0.7051], q:[0.5204, 0.5588], qb:[0.3429, 0.7746], phi:[0.4508]] | t^2.115 + t^2.59 + t^2.647 + t^2.705 + t^2.763 + t^3.295 + t^3.41 + t^3.942 + t^4. + t^4.058 + t^4.23 + t^4.475 + t^4.59 + 2*t^4.705 + t^4.763 + t^4.82 + t^4.878 + t^5.18 + t^5.237 + 2*t^5.295 + t^5.353 + 3*t^5.41 + 2*t^5.525 + t^5.942 - t^6. - t^4.353/y - t^4.353*y | detail |