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
46228	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$	0.7331	0.8939	0.8201	[M:[1.0, 0.8539, 0.8539, 0.8539], q:[0.5, 0.5], qb:[0.6461, 0.6461], phi:[0.427]]	[M:[[0, 0], [-6, 2], [-2, -2], [2, -6]], q:[[2, -2], [-2, 2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$	${}M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	-3	4*t^2.562 + t^3. + t^3.438 + t^3.876 + 3*t^4.281 + 4*t^4.719 + 10*t^5.124 + 3*t^5.157 - 3*t^6. + t^6.438 + 8*t^6.843 + t^6.876 + 12*t^7.281 + t^7.315 + 20*t^7.685 + 8*t^7.719 + t^7.753 - 3*t^8.124 - t^8.157 - 13*t^8.562 - t^4.281/y - (4*t^6.843)/y + (4*t^7.719)/y + (6*t^8.124)/y + (4*t^8.562)/y - t^4.281*y - 4*t^6.843*y + 4*t^7.719*y + 6*t^8.124*y + 4*t^8.562*y	(g1^2*t^2.562)/g2^6 + (2*t^2.562)/(g1^2*g2^2) + (g2^2*t^2.562)/g1^6 + t^3. + g1^2*g2^2*t^3.438 + g1^4*g2^4*t^3.876 + (g1^3*t^4.281)/g2^5 + t^4.281/(g1*g2) + (g2^3*t^4.281)/g1^5 + (g1^5*t^4.719)/g2^3 + 2*g1*g2*t^4.719 + (g2^5*t^4.719)/g1^3 + (2*t^5.124)/g1^8 + (g1^4*t^5.124)/g2^12 + (2*t^5.124)/g2^8 + (4*t^5.124)/(g1^4*g2^4) + (g2^4*t^5.124)/g1^12 + (g1^7*t^5.157)/g2 + g1^3*g2^3*t^5.157 + (g2^7*t^5.157)/g1 - t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 + g1^2*g2^2*t^6.438 + (g1^5*t^6.843)/g2^11 + (2*g1*t^6.843)/g2^7 + (2*t^6.843)/(g1^3*g2^3) + (2*g2*t^6.843)/g1^7 + (g2^5*t^6.843)/g1^11 + g1^4*g2^4*t^6.876 + (g1^7*t^7.281)/g2^9 + (3*g1^3*t^7.281)/g2^5 + (4*t^7.281)/(g1*g2) + (3*g2^3*t^7.281)/g1^5 + (g2^7*t^7.281)/g1^9 + g1^6*g2^6*t^7.315 + (g1^6*t^7.685)/g2^18 + (2*g1^2*t^7.685)/g2^14 + (4*t^7.685)/(g1^2*g2^10) + (6*t^7.685)/(g1^6*g2^6) + (4*t^7.685)/(g1^10*g2^2) + (2*g2^2*t^7.685)/g1^14 + (g2^6*t^7.685)/g1^18 + (g1^9*t^7.719)/g2^7 + (2*g1^5*t^7.719)/g2^3 + 2*g1*g2*t^7.719 + (2*g2^5*t^7.719)/g1^3 + (g2^9*t^7.719)/g1^7 + g1^8*g2^8*t^7.753 - t^8.124/g1^8 - t^8.124/g2^8 - t^8.124/(g1^4*g2^4) - g1^3*g2^3*t^8.157 - (4*g1^2*t^8.562)/g2^6 - (5*t^8.562)/(g1^2*g2^2) - (4*g2^2*t^8.562)/g1^6 - t^4.281/(g1*g2*y) - (g1*t^6.843)/(g2^7*y) - (2*t^6.843)/(g1^3*g2^3*y) - (g2*t^6.843)/(g1^7*y) + (g1^5*t^7.719)/(g2^3*y) + (2*g1*g2*t^7.719)/y + (g2^5*t^7.719)/(g1^3*y) + (2*t^8.124)/(g1^8*y) + (2*t^8.124)/(g2^8*y) + (2*t^8.124)/(g1^4*g2^4*y) + (g1^2*t^8.562)/(g2^6*y) + (2*t^8.562)/(g1^2*g2^2*y) + (g2^2*t^8.562)/(g1^6*y) - (t^4.281*y)/(g1*g2) - (g1*t^6.843*y)/g2^7 - (2*t^6.843*y)/(g1^3*g2^3) - (g2*t^6.843*y)/g1^7 + (g1^5*t^7.719*y)/g2^3 + 2*g1*g2*t^7.719*y + (g2^5*t^7.719*y)/g1^3 + (2*t^8.124*y)/g1^8 + (2*t^8.124*y)/g2^8 + (2*t^8.124*y)/(g1^4*g2^4) + (g1^2*t^8.562*y)/g2^6 + (2*t^8.562*y)/(g1^2*g2^2) + (g2^2*t^8.562*y)/g1^6

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
46511	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$	0.7063	0.8641	0.8173	[M:[1.0, 0.8468, 0.9489, 1.0511], q:[0.5511, 0.4489], qb:[0.6021, 0.5], phi:[0.4745]]	t^2.541 + 2*t^2.847 + t^3. + 2*t^3.153 + t^3.306 + t^4.117 + t^4.27 + 2*t^4.423 + 2*t^4.577 + 2*t^4.73 + t^4.883 + t^5.036 + t^5.081 + 2*t^5.387 + 3*t^5.694 + t^6. - t^4.423/y - t^4.423*y	detail
46636	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{4}^{2}$	0.7197	0.879	0.8188	[M:[1.0, 0.805, 0.9025, 1.0], q:[0.5487, 0.4513], qb:[0.6462, 0.5487], phi:[0.4513]]	t^2.415 + 2*t^2.708 + 2*t^3. + t^3.292 + t^3.585 + t^4.061 + 2*t^4.354 + 4*t^4.646 + t^4.83 + 2*t^4.939 + 2*t^5.123 + t^5.231 + 4*t^5.415 + t^5.708 - t^4.354/y - t^4.354*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
45964	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	0.7729	0.9519	0.812	[M:[0.7473, 0.7777, 0.7777, 0.7777], q:[0.6263, 0.6263], qb:[0.596, 0.596], phi:[0.3888]]	t^2.242 + 4*t^2.333 + t^3.576 + t^3.667 + t^4.484 + 4*t^4.575 + 10*t^4.666 + 3*t^4.742 + 4*t^4.833 + 3*t^4.925 + t^5.818 + t^5.909 - 4*t^6. - t^4.167/y - t^4.167*y	detail