Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
3086	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6504	0.8574	0.7586	[M:[0.9729, 1.0814, 0.9729, 0.9186, 0.7161, 0.7703, 0.8246], q:[0.7432, 0.2839], qb:[0.4864, 0.4322], phi:[0.5136]]	[M:[[4], [-12], [4], [12], [5], [-3], [-11]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	-1	2*t^2.148 + 2*t^2.311 + t^2.474 + t^2.756 + 2*t^2.919 + t^3.244 + t^3.689 + t^4.134 + 4*t^4.297 + 5*t^4.459 + 5*t^4.622 + 2*t^4.785 + 2*t^4.904 + t^4.948 + 6*t^5.067 + 5*t^5.23 + 3*t^5.392 + t^5.512 + t^5.555 + 2*t^5.674 + t^5.718 + 3*t^5.837 - t^6. + 2*t^6.282 + 7*t^6.445 + t^6.488 + 9*t^6.608 + 8*t^6.77 + t^6.89 + 7*t^6.933 + 5*t^7.052 + 4*t^7.096 + 11*t^7.215 + 2*t^7.259 + 11*t^7.378 + t^7.421 + 9*t^7.541 + 2*t^7.66 + 4*t^7.703 + 6*t^7.823 + 4*t^7.866 + 7*t^7.985 + t^8.029 - t^8.148 + t^8.192 + 2*t^8.268 - 5*t^8.311 + 6*t^8.43 - 5*t^8.474 + 12*t^8.593 + t^8.637 + 12*t^8.756 + t^8.799 + 5*t^8.919 + t^8.962 - t^4.541/y - t^6.689/y - t^6.852/y - t^7.015/y + t^7.297/y + (3*t^7.459)/y + (4*t^7.622)/y + (2*t^7.785)/y + (2*t^7.904)/y + (7*t^8.067)/y + (6*t^8.23)/y + (5*t^8.392)/y + (2*t^8.555)/y + (2*t^8.674)/y + t^8.718/y + (2*t^8.837)/y - t^4.541*y - t^6.689*y - t^6.852*y - t^7.015*y + t^7.297*y + 3*t^7.459*y + 4*t^7.622*y + 2*t^7.785*y + 2*t^7.904*y + 7*t^8.067*y + 6*t^8.23*y + 5*t^8.392*y + 2*t^8.555*y + 2*t^8.674*y + t^8.718*y + 2*t^8.837*y	2*g1^5*t^2.148 + (2*t^2.311)/g1^3 + t^2.474/g1^11 + g1^12*t^2.756 + 2*g1^4*t^2.919 + t^3.244/g1^12 + g1^3*t^3.689 + g1^18*t^4.134 + 4*g1^10*t^4.297 + 5*g1^2*t^4.459 + (5*t^4.622)/g1^6 + (2*t^4.785)/g1^14 + 2*g1^17*t^4.904 + t^4.948/g1^22 + 6*g1^9*t^5.067 + 5*g1*t^5.23 + (3*t^5.392)/g1^7 + g1^24*t^5.512 + t^5.555/g1^15 + 2*g1^16*t^5.674 + t^5.718/g1^23 + 3*g1^8*t^5.837 - t^6. + 2*g1^23*t^6.282 + 7*g1^15*t^6.445 + t^6.488/g1^24 + 9*g1^7*t^6.608 + (8*t^6.77)/g1 + g1^30*t^6.89 + (7*t^6.933)/g1^9 + 5*g1^22*t^7.052 + (4*t^7.096)/g1^17 + 11*g1^14*t^7.215 + (2*t^7.259)/g1^25 + 11*g1^6*t^7.378 + t^7.421/g1^33 + (9*t^7.541)/g1^2 + 2*g1^29*t^7.66 + (4*t^7.703)/g1^10 + 6*g1^21*t^7.823 + (4*t^7.866)/g1^18 + 7*g1^13*t^7.985 + t^8.029/g1^26 - g1^5*t^8.148 + t^8.192/g1^34 + 2*g1^36*t^8.268 - (5*t^8.311)/g1^3 + 6*g1^28*t^8.43 - (5*t^8.474)/g1^11 + 12*g1^20*t^8.593 + t^8.637/g1^19 + 12*g1^12*t^8.756 + t^8.799/g1^27 + 5*g1^4*t^8.919 + t^8.962/g1^35 - t^4.541/(g1^2*y) - (g1^3*t^6.689)/y - t^6.852/(g1^5*y) - t^7.015/(g1^13*y) + (g1^10*t^7.297)/y + (3*g1^2*t^7.459)/y + (4*t^7.622)/(g1^6*y) + (2*t^7.785)/(g1^14*y) + (2*g1^17*t^7.904)/y + (7*g1^9*t^8.067)/y + (6*g1*t^8.23)/y + (5*t^8.392)/(g1^7*y) + (2*t^8.555)/(g1^15*y) + (2*g1^16*t^8.674)/y + t^8.718/(g1^23*y) + (2*g1^8*t^8.837)/y - (t^4.541*y)/g1^2 - g1^3*t^6.689*y - (t^6.852*y)/g1^5 - (t^7.015*y)/g1^13 + g1^10*t^7.297*y + 3*g1^2*t^7.459*y + (4*t^7.622*y)/g1^6 + (2*t^7.785*y)/g1^14 + 2*g1^17*t^7.904*y + 7*g1^9*t^8.067*y + 6*g1*t^8.23*y + (5*t^8.392*y)/g1^7 + (2*t^8.555*y)/g1^15 + 2*g1^16*t^8.674*y + (t^8.718*y)/g1^23 + 2*g1^8*t^8.837*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
4964	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$	0.6686	0.8897	0.7515	[M:[0.9747, 1.0759, 0.9747, 0.9241, 0.7184, 0.769, 0.8196, 0.769], q:[0.7437, 0.2816], qb:[0.4873, 0.4367], phi:[0.5127]]	2*t^2.155 + 3*t^2.307 + t^2.459 + t^2.772 + 2*t^2.924 + t^3.228 + t^4.158 + 4*t^4.31 + 7*t^4.462 + 8*t^4.614 + 3*t^4.766 + t^4.918 + 2*t^4.927 + 7*t^5.079 + 7*t^5.231 + 3*t^5.383 + 2*t^5.535 + t^5.544 + t^5.687 + 2*t^5.696 + t^5.848 - 3*t^6. - t^4.538/y - t^4.538*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
2023	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6365	0.8356	0.7616	[M:[0.9626, 1.1121, 0.9626, 0.8879, 0.7033, 0.778], q:[0.7407, 0.2967], qb:[0.4813, 0.4065], phi:[0.5187]]	2*t^2.11 + 2*t^2.334 + t^2.664 + 2*t^2.888 + t^3.336 + t^3.442 + t^3.666 + t^3.995 + 4*t^4.22 + 5*t^4.444 + 3*t^4.668 + 2*t^4.773 + 6*t^4.998 + 4*t^5.222 + t^5.327 + t^5.446 + 4*t^5.551 + t^5.671 + 5*t^5.776 - t^6. - t^4.556/y - t^4.556*y	detail