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
2460	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$	0.7338	0.918	0.7994	[M:[1.0, 0.8941, 0.8412, 1.0529, 1.0, 0.6853, 0.9471], q:[0.5794, 0.4206], qb:[0.5794, 0.5265], phi:[0.4735]]	[M:[[0], [-4], [-6], [2], [0], [7], [-2]], q:[[3], [-3]], qb:[[3], [1]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$	${}M_{1}M_{5}$	-2	t^2.056 + t^2.523 + t^2.682 + 2*t^2.841 + 2*t^3. + t^3.318 + t^4.112 + t^4.262 + 2*t^4.421 + 2*t^4.579 + 3*t^4.738 + 5*t^4.897 + t^5.047 + 2*t^5.056 + t^5.206 + 3*t^5.365 + t^5.374 + 2*t^5.523 + 4*t^5.682 + 3*t^5.841 - 2*t^6. + t^6.168 + t^6.318 + 3*t^6.635 + t^6.785 + 3*t^6.794 + t^6.944 + 5*t^6.953 + 4*t^7.103 + 2*t^7.112 + 6*t^7.262 + 7*t^7.421 + t^7.43 + t^7.57 + 6*t^7.579 + t^7.729 + 9*t^7.738 + 3*t^7.888 + 4*t^7.897 + 3*t^8.047 - 4*t^8.056 + 4*t^8.206 + t^8.215 + t^8.224 + 3*t^8.365 + t^8.374 + t^8.523 + 3*t^8.691 - 6*t^8.841 + 3*t^8.85 - t^4.421/y - t^6.477/y - t^6.944/y - t^7.103/y - t^7.262/y + (2*t^7.579)/y + (2*t^7.738)/y + (3*t^7.897)/y + (2*t^8.056)/y + t^8.206/y + (3*t^8.365)/y + t^8.374/y + (4*t^8.523)/y - t^8.532/y + (3*t^8.682)/y + (5*t^8.841)/y - t^4.421*y - t^6.477*y - t^6.944*y - t^7.103*y - t^7.262*y + 2*t^7.579*y + 2*t^7.738*y + 3*t^7.897*y + 2*t^8.056*y + t^8.206*y + 3*t^8.365*y + t^8.374*y + 4*t^8.523*y - t^8.532*y + 3*t^8.682*y + 5*t^8.841*y	g1^7*t^2.056 + t^2.523/g1^6 + t^2.682/g1^4 + (2*t^2.841)/g1^2 + 2*t^3. + g1^4*t^3.318 + g1^14*t^4.112 + t^4.262/g1^3 + (2*t^4.421)/g1 + 2*g1*t^4.579 + 3*g1^3*t^4.738 + 5*g1^5*t^4.897 + t^5.047/g1^12 + 2*g1^7*t^5.056 + t^5.206/g1^10 + (3*t^5.365)/g1^8 + g1^11*t^5.374 + (2*t^5.523)/g1^6 + (4*t^5.682)/g1^4 + (3*t^5.841)/g1^2 - 2*t^6. + g1^21*t^6.168 + g1^4*t^6.318 + 3*g1^8*t^6.635 + t^6.785/g1^9 + 3*g1^10*t^6.794 + t^6.944/g1^7 + 5*g1^12*t^6.953 + (4*t^7.103)/g1^5 + 2*g1^14*t^7.112 + (6*t^7.262)/g1^3 + (7*t^7.421)/g1 + g1^18*t^7.43 + t^7.57/g1^18 + 6*g1*t^7.579 + t^7.729/g1^16 + 9*g1^3*t^7.738 + (3*t^7.888)/g1^14 + 4*g1^5*t^7.897 + (3*t^8.047)/g1^12 - 4*g1^7*t^8.056 + (4*t^8.206)/g1^10 + g1^9*t^8.215 + g1^28*t^8.224 + (3*t^8.365)/g1^8 + g1^11*t^8.374 + t^8.523/g1^6 + 3*g1^15*t^8.691 - (6*t^8.841)/g1^2 + 3*g1^17*t^8.85 - t^4.421/(g1*y) - (g1^6*t^6.477)/y - t^6.944/(g1^7*y) - t^7.103/(g1^5*y) - t^7.262/(g1^3*y) + (2*g1*t^7.579)/y + (2*g1^3*t^7.738)/y + (3*g1^5*t^7.897)/y + (2*g1^7*t^8.056)/y + t^8.206/(g1^10*y) + (3*t^8.365)/(g1^8*y) + (g1^11*t^8.374)/y + (4*t^8.523)/(g1^6*y) - (g1^13*t^8.532)/y + (3*t^8.682)/(g1^4*y) + (5*t^8.841)/(g1^2*y) - (t^4.421*y)/g1 - g1^6*t^6.477*y - (t^6.944*y)/g1^7 - (t^7.103*y)/g1^5 - (t^7.262*y)/g1^3 + 2*g1*t^7.579*y + 2*g1^3*t^7.738*y + 3*g1^5*t^7.897*y + 2*g1^7*t^8.056*y + (t^8.206*y)/g1^10 + (3*t^8.365*y)/g1^8 + g1^11*t^8.374*y + (4*t^8.523*y)/g1^6 - g1^13*t^8.532*y + (3*t^8.682*y)/g1^4 + (5*t^8.841*y)/g1^2

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
4507	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.7186	0.9004	0.7981	[M:[1.0, 0.8182, 0.7273, 1.0909, 1.0, 0.8182, 0.9091], q:[0.6364, 0.3636], qb:[0.6364, 0.5455], phi:[0.4545]]	t^2.182 + 2*t^2.455 + 2*t^2.727 + 2*t^3. + t^3.545 + t^4.091 + 3*t^4.364 + 3*t^4.636 + 7*t^4.909 + 7*t^5.182 + 6*t^5.455 + 3*t^5.727 - t^6. - t^4.364/y - t^4.364*y	detail	{a: 15303/21296, c: 19175/21296, M1: 1, M2: 9/11, M3: 8/11, M4: 12/11, M5: 1, M6: 9/11, M7: 10/11, q1: 7/11, q2: 4/11, qb1: 7/11, qb2: 6/11, phi1: 5/11}
4499	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{6}^{2}$ + ${ }M_{3}X_{1}$	0.6319	0.7837	0.8063	[X:[1.4286], M:[1.0, 0.7143, 0.5714, 1.1429, 1.0, 1.0, 0.8571], q:[0.7143, 0.2857], qb:[0.7143, 0.5714], phi:[0.4286]]	t^2.143 + 2*t^2.571 + 3*t^3. + 2*t^3.857 + 4*t^4.286 + t^4.714 + 7*t^5.143 + 7*t^5.571 - t^4.286/y - t^4.286*y	detail	{a: 867/1372, c: 4301/5488, X1: 10/7, M1: 1, M2: 5/7, M3: 4/7, M4: 8/7, M5: 1, M6: 1, M7: 6/7, q1: 5/7, q2: 2/7, qb1: 5/7, qb2: 4/7, phi1: 3/7}

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
1396	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.7291	0.9105	0.8008	[M:[1.0, 0.9026, 0.8539, 1.0487, 1.0, 0.6704], q:[0.573, 0.427], qb:[0.573, 0.5243], phi:[0.4757]]	t^2.011 + t^2.562 + t^2.708 + t^2.854 + 2*t^3. + t^3.146 + t^3.292 + t^4.022 + t^4.281 + 2*t^4.427 + 2*t^4.573 + 3*t^4.719 + 4*t^4.865 + 2*t^5.011 + t^5.124 + t^5.157 + t^5.27 + t^5.303 + 2*t^5.416 + t^5.562 + 3*t^5.708 + 2*t^5.854 - t^6. - t^4.427/y - t^4.427*y	detail