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
2570	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$	0.6566	0.811	0.8097	[X:[1.3181], M:[1.106, 0.6819, 0.9169, 0.8711, 1.1289, 0.8711, 0.8711], q:[0.553, 0.341], qb:[0.5301, 0.7879], phi:[0.447]]	[X:[[6]], M:[[2], [-6], [-11], [7], [-7], [7], [7]], q:[[1], [-3]], qb:[[10], [-4]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$	${}$	-4	3*t^2.613 + t^2.682 + t^2.751 + t^3.318 + 2*t^3.954 + 2*t^4.023 + t^4.522 + t^4.59 + t^4.728 + 5*t^5.227 + 3*t^5.295 + 4*t^5.364 + t^5.501 + 2*t^5.931 - 4*t^6. + t^6.069 + 4*t^6.567 + 5*t^6.636 + t^6.705 + 3*t^7.135 + 3*t^7.204 + 2*t^7.272 - t^7.41 + t^7.478 + 7*t^7.84 + 6*t^7.908 + 7*t^7.977 + 2*t^8.046 + 2*t^8.114 + t^8.252 + 2*t^8.476 + 4*t^8.545 - 11*t^8.613 - t^8.682 - 4*t^8.751 + 2*t^8.819 - t^4.341/y - (2*t^6.954)/y - t^7.092/y + t^7.59/y + (2*t^7.728)/y + (3*t^8.227)/y + (3*t^8.295)/y + (3*t^8.364)/y + t^8.433/y + (3*t^8.931)/y - t^4.341*y - 2*t^6.954*y - t^7.092*y + t^7.59*y + 2*t^7.728*y + 3*t^8.227*y + 3*t^8.295*y + 3*t^8.364*y + t^8.433*y + 3*t^8.931*y	3*g1^7*t^2.613 + t^2.682/g1^2 + t^2.751/g1^11 + g1^2*t^3.318 + 2*g1^6*t^3.954 + (2*t^4.023)/g1^3 + g1^19*t^4.522 + g1^10*t^4.59 + t^4.728/g1^8 + 5*g1^14*t^5.227 + 3*g1^5*t^5.295 + (4*t^5.364)/g1^4 + t^5.501/g1^22 + 2*g1^9*t^5.931 - 4*t^6. + t^6.069/g1^9 + 4*g1^13*t^6.567 + 5*g1^4*t^6.636 + t^6.705/g1^5 + 3*g1^26*t^7.135 + 3*g1^17*t^7.204 + 2*g1^8*t^7.272 - t^7.41/g1^10 + t^7.478/g1^19 + 7*g1^21*t^7.84 + 6*g1^12*t^7.908 + 7*g1^3*t^7.977 + (2*t^8.046)/g1^6 + (2*t^8.114)/g1^15 + t^8.252/g1^33 + 2*g1^25*t^8.476 + 4*g1^16*t^8.545 - 11*g1^7*t^8.613 - t^8.682/g1^2 - (4*t^8.751)/g1^11 + (2*t^8.819)/g1^20 - t^4.341/(g1*y) - (2*g1^6*t^6.954)/y - t^7.092/(g1^12*y) + (g1^10*t^7.59)/y + (2*t^7.728)/(g1^8*y) + (3*g1^14*t^8.227)/y + (3*g1^5*t^8.295)/y + (3*t^8.364)/(g1^4*y) + t^8.433/(g1^13*y) + (3*g1^9*t^8.931)/y - (t^4.341*y)/g1 - 2*g1^6*t^6.954*y - (t^7.092*y)/g1^12 + g1^10*t^7.59*y + (2*t^7.728*y)/g1^8 + 3*g1^14*t^8.227*y + 3*g1^5*t^8.295*y + (3*t^8.364*y)/g1^4 + (t^8.433*y)/g1^13 + 3*g1^9*t^8.931*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
4656	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}^{2}$	0.6498	0.8089	0.8033	[X:[1.2727], M:[1.0909, 0.7273, 1.0, 0.8182, 1.1818, 0.8182, 0.8182], q:[0.5455, 0.3636], qb:[0.4545, 0.8182], phi:[0.4545]]	3*t^2.455 + t^2.727 + t^3. + t^3.273 + 2*t^3.818 + 3*t^4.091 + t^4.364 + 6*t^4.909 + 3*t^5.182 + 4*t^5.455 + 2*t^5.727 - 3*t^6. - t^4.364/y - t^4.364*y	detail	{a: 13839/21296, c: 17227/21296, X1: 14/11, M1: 12/11, M2: 8/11, M3: 1, M4: 9/11, M5: 13/11, M6: 9/11, M7: 9/11, q1: 6/11, q2: 4/11, qb1: 5/11, qb2: 9/11, phi1: 5/11}
4652	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{4}^{2}$	0.6194	0.7622	0.8126	[X:[1.4286], M:[1.1429, 0.5714, 0.7143, 1.0, 1.0, 1.0, 1.0], q:[0.5714, 0.2857], qb:[0.7143, 0.7143], phi:[0.4286]]	t^2.143 + t^2.571 + 3*t^3. + t^3.429 + 2*t^3.857 + 4*t^4.286 + 5*t^5.143 + 5*t^5.571 + t^6. - t^4.286/y - t^4.286*y	detail	{a: 3399/5488, c: 4183/5488, X1: 10/7, M1: 8/7, M2: 4/7, M3: 5/7, M4: 1, M5: 1, M6: 1, M7: 1, q1: 4/7, q2: 2/7, qb1: 5/7, qb2: 5/7, phi1: 3/7}
4659	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$	0.6774	0.8516	0.7954	[X:[1.3193], M:[1.1064, 0.6807, 0.9147, 0.8725, 1.1275, 0.8725, 0.8725, 0.6807], q:[0.5532, 0.3404], qb:[0.5321, 0.7871], phi:[0.4468]]	t^2.042 + 3*t^2.617 + t^2.681 + t^2.744 + t^3.319 + t^3.958 + 2*t^4.021 + t^4.084 + t^4.533 + t^4.596 + 3*t^4.66 + 2*t^4.723 + t^4.786 + 5*t^5.235 + 3*t^5.298 + 5*t^5.361 + t^5.488 + 2*t^5.937 - 3*t^6. - t^4.34/y - t^4.34*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
1476	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$	0.6458	0.7917	0.8158	[X:[1.3333], M:[1.1111, 0.6667, 0.8889, 0.8889, 1.1111, 0.8889], q:[0.5556, 0.3333], qb:[0.5556, 0.7778], phi:[0.4444]]	4*t^2.667 + 2*t^3.333 + 4*t^4. + 3*t^4.667 + 8*t^5.333 + 2*t^6. - t^4.333/y - t^4.333*y	detail	{a: 31/48, c: 19/24, X1: 4/3, M1: 10/9, M2: 2/3, M3: 8/9, M4: 8/9, M5: 10/9, M6: 8/9, q1: 5/9, q2: 1/3, qb1: 5/9, qb2: 7/9, phi1: 4/9}