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 |
---|---|---|---|---|---|---|---|---|---|
4626 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6586 | 0.8292 | 0.7943 | [M:[1.0811, 0.8649, 1.1351, 0.8108, 1.1892, 0.8649, 0.7568], q:[0.4865, 0.4324], qb:[0.3784, 0.7568], phi:[0.4865]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 533757/810448, c: 336013/405224, M1: 40/37, M2: 32/37, M3: 42/37, M4: 30/37, M5: 44/37, M6: 32/37, M7: 28/37, q1: 18/37, q2: 16/37, qb1: 14/37, qb2: 28/37, phi1: 18/37} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$ | ${}$ | -1 | t^2.27 + t^2.432 + 2*t^2.595 + t^2.919 + t^3.243 + t^3.568 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + t^4.703 + 3*t^4.865 + 2*t^5.027 + 4*t^5.189 + t^5.351 + 3*t^5.514 + 2*t^5.838 - t^6. + 2*t^6.162 + 3*t^6.324 + 5*t^6.486 + 5*t^6.649 + 3*t^6.811 + 4*t^6.973 + 2*t^7.135 + 3*t^7.297 + 4*t^7.459 + 4*t^7.622 + 8*t^7.784 + 3*t^7.946 + 7*t^8.108 - t^8.27 + 3*t^8.432 - 2*t^8.595 + 5*t^8.757 + 4*t^8.919 - t^4.459/y - t^6.73/y - t^7.054/y + t^7.216/y - t^7.378/y + t^7.541/y + (3*t^7.865)/y + (2*t^8.027)/y + (3*t^8.189)/y + t^8.351/y + (3*t^8.514)/y + t^8.676/y + (3*t^8.838)/y - t^4.459*y - t^6.73*y - t^7.054*y + t^7.216*y - t^7.378*y + t^7.541*y + 3*t^7.865*y + 2*t^8.027*y + 3*t^8.189*y + t^8.351*y + 3*t^8.514*y + t^8.676*y + 3*t^8.838*y | t^2.27 + t^2.432 + 2*t^2.595 + t^2.919 + t^3.243 + t^3.568 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + t^4.703 + 3*t^4.865 + 2*t^5.027 + 4*t^5.189 + t^5.351 + 3*t^5.514 + 2*t^5.838 - t^6. + 2*t^6.162 + 3*t^6.324 + 5*t^6.486 + 5*t^6.649 + 3*t^6.811 + 4*t^6.973 + 2*t^7.135 + 3*t^7.297 + 4*t^7.459 + 4*t^7.622 + 8*t^7.784 + 3*t^7.946 + 7*t^8.108 - t^8.27 + 3*t^8.432 - 2*t^8.595 + 5*t^8.757 + 4*t^8.919 - t^4.459/y - t^6.73/y - t^7.054/y + t^7.216/y - t^7.378/y + t^7.541/y + (3*t^7.865)/y + (2*t^8.027)/y + (3*t^8.189)/y + t^8.351/y + (3*t^8.514)/y + t^8.676/y + (3*t^8.838)/y - t^4.459*y - t^6.73*y - t^7.054*y + t^7.216*y - t^7.378*y + t^7.541*y + 3*t^7.865*y + 2*t^8.027*y + 3*t^8.189*y + t^8.351*y + 3*t^8.514*y + t^8.676*y + 3*t^8.838*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 |
---|---|---|---|---|---|---|---|---|
6176 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}M_{8}$ | 0.6398 | 0.7952 | 0.8046 | [M:[1.0811, 0.8649, 1.1351, 0.8108, 1.1892, 0.8649, 0.7568, 1.2432], q:[0.4865, 0.4324], qb:[0.3784, 0.7568], phi:[0.4865]] | t^2.432 + 2*t^2.595 + t^2.919 + t^3.243 + t^3.568 + 2*t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.865 + 2*t^5.027 + 3*t^5.189 + t^5.351 + 2*t^5.514 + t^5.838 - 2*t^6. - t^4.459/y - t^4.459*y | detail | {a: 129639/202612, c: 80563/101306, M1: 40/37, M2: 32/37, M3: 42/37, M4: 30/37, M5: 44/37, M6: 32/37, M7: 28/37, M8: 46/37, q1: 18/37, q2: 16/37, qb1: 14/37, qb2: 28/37, phi1: 18/37} |
6179 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6791 | 0.8683 | 0.7821 | [M:[1.0811, 0.8649, 1.1351, 0.8108, 1.1892, 0.8649, 0.7568, 0.7027], q:[0.4865, 0.4324], qb:[0.3784, 0.7568], phi:[0.4865]] | t^2.108 + t^2.27 + t^2.432 + 2*t^2.595 + t^2.919 + t^3.243 + t^3.568 + t^3.73 + 2*t^4.054 + 2*t^4.216 + 2*t^4.378 + 2*t^4.541 + 3*t^4.703 + 3*t^4.865 + 3*t^5.027 + 4*t^5.189 + 2*t^5.351 + 3*t^5.514 + t^5.676 + 3*t^5.838 - t^6. - t^4.459/y - t^4.459*y | detail | {a: 137589/202612, c: 175921/202612, M1: 40/37, M2: 32/37, M3: 42/37, M4: 30/37, M5: 44/37, M6: 32/37, M7: 28/37, M8: 26/37, q1: 18/37, q2: 16/37, qb1: 14/37, qb2: 28/37, phi1: 18/37} |
6178 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6774 | 0.8632 | 0.7847 | [M:[1.0811, 0.8649, 1.1351, 0.8108, 1.1892, 0.8649, 0.7568, 0.7568], q:[0.4865, 0.4324], qb:[0.3784, 0.7568], phi:[0.4865]] | 2*t^2.27 + t^2.432 + 2*t^2.595 + t^2.919 + t^3.243 + t^3.568 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + 3*t^4.541 + 2*t^4.703 + 5*t^4.865 + 2*t^5.027 + 5*t^5.189 + t^5.351 + 4*t^5.514 + 3*t^5.838 - 2*t^6. - t^4.459/y - t^4.459*y | detail | {a: 274479/405224, c: 174887/202612, M1: 40/37, M2: 32/37, M3: 42/37, M4: 30/37, M5: 44/37, M6: 32/37, M7: 28/37, M8: 28/37, q1: 18/37, q2: 16/37, qb1: 14/37, qb2: 28/37, phi1: 18/37} |
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 |
---|---|---|---|---|---|---|---|---|---|
2549 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6611 | 0.834 | 0.7927 | [M:[1.0309, 0.8833, 1.1167, 0.7976, 1.2024, 0.8833, 0.7119], q:[0.5274, 0.4417], qb:[0.3559, 0.7607], phi:[0.4786]] | t^2.136 + t^2.393 + 2*t^2.65 + t^2.871 + t^3.093 + t^3.571 + t^3.607 + t^3.829 + 2*t^4.086 + t^4.271 + t^4.343 + t^4.528 + t^4.6 + 3*t^4.786 + t^5.007 + 2*t^5.043 + t^5.228 + t^5.264 + 3*t^5.3 + 2*t^5.521 + t^5.707 + 2*t^5.743 + 3*t^5.964 - 2*t^6. - t^4.436/y - t^4.436*y | detail |