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 |
---|---|---|---|---|---|---|---|---|---|
56441 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ | 0.7134 | 0.9084 | 0.7853 | [M:[1.1639, 1.0168, 0.8361, 0.7759, 0.7759, 0.7157, 0.8361], q:[0.388, 0.4482], qb:[0.5952, 0.7759], phi:[0.4482]] | [M:[[3], [-18], [-3], [2], [2], [7], [-3]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -3 | t^2.147 + 2*t^2.328 + 2*t^2.508 + t^2.689 + t^3.05 + t^3.13 + t^4.034 + t^4.113 + 2*t^4.294 + 3*t^4.475 + 5*t^4.655 + 5*t^4.836 + t^4.916 + 5*t^5.017 + 3*t^5.197 + t^5.277 + 2*t^5.378 + 2*t^5.458 + t^5.559 + 2*t^5.639 + t^5.739 - 3*t^6. + t^6.101 + 2*t^6.261 + t^6.361 + 3*t^6.441 + t^6.542 + 5*t^6.622 + 8*t^6.803 - t^6.903 + 9*t^6.983 + t^7.063 + t^7.084 + 11*t^7.164 + 3*t^7.244 + 9*t^7.345 + 3*t^7.424 + 9*t^7.525 + 3*t^7.605 + 6*t^7.706 + 2*t^7.786 + 3*t^7.887 + 2*t^7.966 + t^8.046 + 4*t^8.067 - 2*t^8.147 + 2*t^8.248 - 7*t^8.328 + 2*t^8.408 + 3*t^8.429 - 7*t^8.508 + 5*t^8.588 + t^8.609 - 4*t^8.689 + 7*t^8.769 + t^8.79 - t^8.87 + 10*t^8.95 - t^4.345/y - t^6.492/y - (2*t^6.672)/y - t^6.853/y - t^7.034/y + t^7.294/y - t^7.395/y + (2*t^7.475)/y + (4*t^7.655)/y + (6*t^7.836)/y + (5*t^8.017)/y + (4*t^8.197)/y + t^8.277/y + (2*t^8.378)/y + (2*t^8.458)/y + (2*t^8.559)/y + t^8.639/y + t^8.739/y - t^8.819/y - t^4.345*y - t^6.492*y - 2*t^6.672*y - t^6.853*y - t^7.034*y + t^7.294*y - t^7.395*y + 2*t^7.475*y + 4*t^7.655*y + 6*t^7.836*y + 5*t^8.017*y + 4*t^8.197*y + t^8.277*y + 2*t^8.378*y + 2*t^8.458*y + 2*t^8.559*y + t^8.639*y + t^8.739*y - t^8.819*y | g1^7*t^2.147 + 2*g1^2*t^2.328 + (2*t^2.508)/g1^3 + t^2.689/g1^8 + t^3.05/g1^18 + g1^13*t^3.13 + t^4.034/g1^12 + g1^19*t^4.113 + 2*g1^14*t^4.294 + 3*g1^9*t^4.475 + 5*g1^4*t^4.655 + (5*t^4.836)/g1 + g1^30*t^4.916 + (5*t^5.017)/g1^6 + (3*t^5.197)/g1^11 + g1^20*t^5.277 + (2*t^5.378)/g1^16 + 2*g1^15*t^5.458 + t^5.559/g1^21 + 2*g1^10*t^5.639 + t^5.739/g1^26 - 3*t^6. + t^6.101/g1^36 + 2*g1^26*t^6.261 + t^6.361/g1^10 + 3*g1^21*t^6.441 + t^6.542/g1^15 + 5*g1^16*t^6.622 + 8*g1^11*t^6.803 - t^6.903/g1^25 + 9*g1^6*t^6.983 + g1^37*t^7.063 + t^7.084/g1^30 + 11*g1*t^7.164 + 3*g1^32*t^7.244 + (9*t^7.345)/g1^4 + 3*g1^27*t^7.424 + (9*t^7.525)/g1^9 + 3*g1^22*t^7.605 + (6*t^7.706)/g1^14 + 2*g1^17*t^7.786 + (3*t^7.887)/g1^19 + 2*g1^12*t^7.966 + g1^43*t^8.046 + (4*t^8.067)/g1^24 - 2*g1^7*t^8.147 + (2*t^8.248)/g1^29 - 7*g1^2*t^8.328 + 2*g1^33*t^8.408 + (3*t^8.429)/g1^34 - (7*t^8.508)/g1^3 + 5*g1^28*t^8.588 + t^8.609/g1^39 - (4*t^8.689)/g1^8 + 7*g1^23*t^8.769 + t^8.79/g1^44 - t^8.87/g1^13 + 10*g1^18*t^8.95 - t^4.345/(g1^4*y) - (g1^3*t^6.492)/y - (2*t^6.672)/(g1^2*y) - t^6.853/(g1^7*y) - t^7.034/(g1^12*y) + (g1^14*t^7.294)/y - t^7.395/(g1^22*y) + (2*g1^9*t^7.475)/y + (4*g1^4*t^7.655)/y + (6*t^7.836)/(g1*y) + (5*t^8.017)/(g1^6*y) + (4*t^8.197)/(g1^11*y) + (g1^20*t^8.277)/y + (2*t^8.378)/(g1^16*y) + (2*g1^15*t^8.458)/y + (2*t^8.559)/(g1^21*y) + (g1^10*t^8.639)/y + t^8.739/(g1^26*y) - (g1^5*t^8.819)/y - (t^4.345*y)/g1^4 - g1^3*t^6.492*y - (2*t^6.672*y)/g1^2 - (t^6.853*y)/g1^7 - (t^7.034*y)/g1^12 + g1^14*t^7.294*y - (t^7.395*y)/g1^22 + 2*g1^9*t^7.475*y + 4*g1^4*t^7.655*y + (6*t^7.836*y)/g1 + (5*t^8.017*y)/g1^6 + (4*t^8.197*y)/g1^11 + g1^20*t^8.277*y + (2*t^8.378*y)/g1^16 + 2*g1^15*t^8.458*y + (2*t^8.559*y)/g1^21 + g1^10*t^8.639*y + (t^8.739*y)/g1^26 - g1^5*t^8.819*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 |
---|---|---|---|---|---|---|---|---|
58806 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7106 | 0.9077 | 0.7828 | [M:[1.1538, 1.0769, 0.8462, 0.7692, 0.7692, 0.6923, 0.8462], q:[0.3846, 0.4615], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.077 + 2*t^2.308 + 2*t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.923 + 3*t^4.154 + 3*t^4.385 + 6*t^4.615 + 5*t^4.846 + 6*t^5.077 + 5*t^5.308 + 4*t^5.538 + t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 12489/17576, c: 31907/35152, M1: 15/13, M2: 14/13, M3: 11/13, M4: 10/13, M5: 10/13, M6: 9/13, M7: 11/13, q1: 5/13, q2: 6/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
53383 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6993 | 0.8844 | 0.7907 | [M:[1.1626, 1.0246, 0.8374, 0.775, 0.775, 0.7127], q:[0.3875, 0.4499], qb:[0.5879, 0.775], phi:[0.4499]] | t^2.138 + 2*t^2.325 + t^2.512 + t^2.699 + t^3.074 + t^3.113 + t^3.488 + t^4.049 + t^4.089 + 2*t^4.276 + 3*t^4.463 + 4*t^4.65 + 3*t^4.837 + t^4.877 + 3*t^5.025 + 2*t^5.212 + t^5.251 + 2*t^5.399 + 2*t^5.439 + 2*t^5.626 + t^5.773 + 2*t^5.813 - 2*t^6. - t^4.35/y - t^4.35*y | detail |