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 |
---|---|---|---|---|---|---|---|---|---|
5309 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}M_{7}$ | 0.6479 | 0.8023 | 0.8075 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 50931/78608, c: 63069/78608, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$ | ${}$ | -1 | t^2.471 + 2*t^2.647 + t^2.824 + t^3. + t^3.529 + t^3.706 + 2*t^3.882 + t^4.059 + t^4.235 + t^4.412 + t^4.588 + t^4.941 + 2*t^5.118 + 4*t^5.294 + 2*t^5.471 + 2*t^5.647 - t^6. + t^6.176 + 3*t^6.353 + 4*t^6.529 + 3*t^6.706 + 3*t^6.882 + 3*t^7.059 + t^7.235 + 2*t^7.412 + 3*t^7.588 + 4*t^7.765 + 6*t^7.941 + 6*t^8.118 + 3*t^8.294 - 2*t^8.647 + t^8.824 - t^4.412/y - t^7.059/y - t^7.235/y + t^7.588/y + t^7.765/y + (2*t^8.118)/y + (2*t^8.294)/y + (3*t^8.471)/y + (2*t^8.647)/y + t^8.824/y - t^4.412*y - t^7.059*y - t^7.235*y + t^7.588*y + t^7.765*y + 2*t^8.118*y + 2*t^8.294*y + 3*t^8.471*y + 2*t^8.647*y + t^8.824*y | t^2.471 + 2*t^2.647 + t^2.824 + t^3. + t^3.529 + t^3.706 + 2*t^3.882 + t^4.059 + t^4.235 + t^4.412 + t^4.588 + t^4.941 + 2*t^5.118 + 4*t^5.294 + 2*t^5.471 + 2*t^5.647 - t^6. + t^6.176 + 3*t^6.353 + 4*t^6.529 + 3*t^6.706 + 3*t^6.882 + 3*t^7.059 + t^7.235 + 2*t^7.412 + 3*t^7.588 + 4*t^7.765 + 6*t^7.941 + 6*t^8.118 + 3*t^8.294 - 2*t^8.647 + t^8.824 - t^4.412/y - t^7.059/y - t^7.235/y + t^7.588/y + t^7.765/y + (2*t^8.118)/y + (2*t^8.294)/y + (3*t^8.471)/y + (2*t^8.647)/y + t^8.824/y - t^4.412*y - t^7.059*y - t^7.235*y + t^7.588*y + t^7.765*y + 2*t^8.118*y + 2*t^8.294*y + 3*t^8.471*y + 2*t^8.647*y + t^8.824*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 |
---|---|---|---|---|---|---|---|---|
6834 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6373 | 0.7844 | 0.8125 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765, 1.1176], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | t^2.471 + t^2.647 + t^2.824 + t^3. + t^3.353 + t^3.529 + t^3.706 + 2*t^3.882 + t^4.059 + t^4.235 + t^4.412 + t^4.588 + t^4.941 + t^5.118 + 2*t^5.294 + t^5.471 + t^5.647 + t^5.824 - t^4.412/y - t^4.412*y | detail | {a: 12525/19652, c: 15415/19652, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, M8: 19/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
6837 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{7}M_{8}$ | 0.6629 | 0.8284 | 0.8003 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765, 0.8235], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | 2*t^2.471 + 2*t^2.647 + t^2.824 + t^3. + t^3.706 + 2*t^3.882 + t^4.059 + t^4.235 + t^4.412 + t^4.588 + 3*t^4.941 + 4*t^5.118 + 5*t^5.294 + 3*t^5.471 + 2*t^5.647 - 2*t^6. - t^4.412/y - t^4.412*y | detail | {a: 26055/39304, c: 65115/78608, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, M8: 14/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
6839 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6683 | 0.8411 | 0.7946 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765, 0.7059], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | t^2.118 + t^2.471 + 2*t^2.647 + t^2.824 + t^3. + t^3.529 + t^3.706 + t^3.882 + t^4.059 + 2*t^4.235 + t^4.412 + 2*t^4.588 + 2*t^4.765 + 2*t^4.941 + 3*t^5.118 + 4*t^5.294 + 2*t^5.471 + 3*t^5.647 + t^5.824 - t^4.412/y - t^4.412*y | detail | {a: 6567/9826, c: 66119/78608, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, M8: 12/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
6836 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6425 | 0.7932 | 0.81 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765, 1.0588], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | t^2.471 + 2*t^2.647 + t^3. + t^3.176 + t^3.529 + t^3.706 + 2*t^3.882 + t^4.059 + t^4.235 + t^4.412 + t^4.588 + t^4.941 + 2*t^5.118 + 3*t^5.294 + 2*t^5.647 + t^5.824 - t^6. - t^4.412/y - t^4.412*y | detail | {a: 25251/39304, c: 62351/78608, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, M8: 18/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
6838 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}X_{1}$ | 0.6663 | 0.8354 | 0.7976 | [X:[1.2353], M:[1.0, 0.8824, 1.1176, 0.7647, 0.8824, 0.8235, 1.1765, 0.7647], q:[0.5294, 0.4706], qb:[0.3529, 0.7647], phi:[0.4706]] | t^2.294 + t^2.471 + 2*t^2.647 + t^2.824 + t^3. + t^3.529 + 2*t^3.882 + t^4.059 + t^4.235 + t^4.412 + 2*t^4.588 + t^4.765 + 3*t^4.941 + 3*t^5.118 + 5*t^5.294 + 2*t^5.471 + 2*t^5.647 + t^5.824 - t^6. - t^4.412/y - t^4.412*y | detail | {a: 3081/4624, c: 3863/4624, X1: 21/17, M1: 1, M2: 15/17, M3: 19/17, M4: 13/17, M5: 15/17, M6: 14/17, M7: 20/17, M8: 13/17, q1: 9/17, q2: 8/17, qb1: 6/17, qb2: 13/17, phi1: 8/17} |
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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
3573 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ | 0.6779 | 0.8486 | 0.7988 | [X:[1.3658], M:[1.0, 0.8171, 1.1829, 0.6342, 0.8171, 0.7257, 0.9971], q:[0.4071, 0.5929], qb:[0.41, 0.7729], phi:[0.4543]] | t^2.177 + 2*t^2.451 + t^2.726 + t^2.991 + t^3. + t^3.54 + t^3.805 + t^3.814 + t^4.097 + t^4.354 + t^4.363 + t^4.372 + 2*t^4.628 + 4*t^4.903 + t^4.92 + t^5.168 + 3*t^5.177 + t^5.443 + 2*t^5.451 + 2*t^5.717 + t^5.726 + 2*t^5.982 + 3*t^5.991 - 2*t^6. - t^4.363/y - t^4.363*y | detail |