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 |
---|---|---|---|---|---|---|---|---|---|
3888 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}X_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.5868 | 0.7236 | 0.811 | [X:[1.2266, 1.4247], M:[0.5753, 1.0095, 0.7734, 0.8114, 1.1886, 0.9905, 0.7924], q:[0.92, 0.5048], qb:[0.3067, 0.6838], phi:[0.3962]] | [X:[[28], [26]], M:[[-26], [10], [-28], [12], [-12], [-10], [-8]], q:[[21], [5]], qb:[[7], [-17]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }X_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | 2*t^2.377 + t^2.434 + t^2.971 + t^3.029 + t^3.566 + t^3.68 + t^4.217 + t^4.274 + 3*t^4.754 + 3*t^4.811 + t^4.868 + t^5.349 + 2*t^5.406 + t^5.463 + 2*t^5.943 - t^6. + 2*t^6.057 + t^6.114 + 2*t^6.651 + 2*t^6.708 + 4*t^7.132 + 3*t^7.189 + 2*t^7.246 + t^7.303 + t^7.36 + t^7.726 + 2*t^7.783 + t^7.84 + t^7.897 + t^7.954 + 2*t^8.32 - 3*t^8.377 + 3*t^8.491 + 2*t^8.548 - 2*t^8.971 - t^4.189/y - (2*t^6.566)/y + t^7.754/y + (4*t^7.811)/y + (2*t^8.349)/y + (3*t^8.406)/y + t^8.463/y - t^8.943/y - t^4.189*y - 2*t^6.566*y + t^7.754*y + 4*t^7.811*y + 2*t^8.349*y + 3*t^8.406*y + t^8.463*y - t^8.943*y | (2*t^2.377)/g1^8 + g1^12*t^2.434 + t^2.971/g1^10 + g1^10*t^3.029 + t^3.566/g1^12 + g1^28*t^3.68 + g1^6*t^4.217 + g1^26*t^4.274 + (3*t^4.754)/g1^16 + 3*g1^4*t^4.811 + g1^24*t^4.868 + t^5.349/g1^18 + 2*g1^2*t^5.406 + g1^22*t^5.463 + (2*t^5.943)/g1^20 - t^6. + 2*g1^20*t^6.057 + g1^40*t^6.114 + 2*g1^18*t^6.651 + 2*g1^38*t^6.708 + (4*t^7.132)/g1^24 + (3*t^7.189)/g1^4 + 2*g1^16*t^7.246 + g1^36*t^7.303 + g1^56*t^7.36 + t^7.726/g1^26 + (2*t^7.783)/g1^6 + g1^14*t^7.84 + g1^34*t^7.897 + g1^54*t^7.954 + (2*t^8.32)/g1^28 - (3*t^8.377)/g1^8 + 3*g1^32*t^8.491 + 2*g1^52*t^8.548 - (2*t^8.971)/g1^10 - t^4.189/(g1^4*y) - (2*t^6.566)/(g1^12*y) + t^7.754/(g1^16*y) + (4*g1^4*t^7.811)/y + (2*t^8.349)/(g1^18*y) + (3*g1^2*t^8.406)/y + (g1^22*t^8.463)/y - t^8.943/(g1^20*y) - (t^4.189*y)/g1^4 - (2*t^6.566*y)/g1^12 + (t^7.754*y)/g1^16 + 4*g1^4*t^7.811*y + (2*t^8.349*y)/g1^18 + 3*g1^2*t^8.406*y + g1^22*t^8.463*y - (t^8.943*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|
5474 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}X_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{8}$ | 0.5884 | 0.7256 | 0.8109 | [X:[1.2672, 1.4624], M:[0.5376, 1.024, 0.7328, 0.8288, 1.1712, 0.976, 0.7808, 0.976], q:[0.9504, 0.512], qb:[0.3168, 0.6592], phi:[0.3904]] | 2*t^2.342 + t^2.486 + 2*t^2.928 + t^3.514 + t^3.801 + t^4.243 + t^4.387 + 3*t^4.685 + 3*t^4.829 + t^4.973 + 3*t^5.27 + t^5.414 + 4*t^5.856 - 2*t^6. - t^4.171/y - t^4.171*y | detail | |
5475 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}X_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ | 0.603 | 0.7532 | 0.8006 | [X:[1.1965, 1.3967], M:[0.6033, 0.9987, 0.8035, 0.7985, 1.2015, 1.0013, 0.801, 0.7985], q:[0.8974, 0.4994], qb:[0.2991, 0.7021], phi:[0.4005]] | 2*t^2.395 + 2*t^2.403 + t^2.996 + t^3.004 + t^3.589 + t^4.19 + t^4.198 + 3*t^4.791 + 5*t^4.798 + 3*t^4.806 + 2*t^5.392 + 3*t^5.399 + t^5.407 + 2*t^5.985 + 2*t^5.992 - 2*t^6. - t^4.202/y - t^4.202*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
3397 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}X_{2}$ | 0.57 | 0.6947 | 0.8205 | [X:[1.2065, 1.406], M:[0.594, 1.0023, 0.7935, 0.8028, 1.1972, 0.9977], q:[0.9049, 0.5012], qb:[0.3016, 0.6961], phi:[0.3991]] | t^2.394 + t^2.408 + t^2.993 + t^3.007 + t^3.592 + t^3.606 + t^3.62 + t^4.204 + t^4.218 + t^4.789 + 2*t^4.803 + t^4.817 + t^5.401 + t^5.415 + t^5.986 - t^4.197/y - t^4.197*y | detail |