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

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

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
510	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{1}M_{2}$	0.7063	0.8641	0.8173	[M:[0.9489, 1.0511, 0.8468, 1.0], q:[0.5, 0.5511], qb:[0.4489, 0.6021], 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
512	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	0.7466	0.9183	0.813	[M:[0.8355, 0.8355, 0.8355, 1.0, 0.8355], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]]	5*t^2.506 + t^3. + t^3.987 + 3*t^4.253 + 4*t^4.747 + 15*t^5.013 + 3*t^5.24 + t^5.506 - 7*t^6. - t^4.253/y - t^4.253*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
207	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	0.7729	0.9519	0.812	[M:[0.7777, 0.7777, 0.7777, 0.7473], q:[0.596, 0.6263], qb:[0.6263, 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