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
4774	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.7193	0.9229	0.7794	[M:[0.9581, 0.8144, 0.9581, 0.8144, 1.1856, 0.7425, 0.7425, 0.7425], q:[0.6347, 0.4072], qb:[0.4072, 0.7784], phi:[0.4431]]	[M:[[-22], [-2], [-22], [-2], [2], [8], [8], [8]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$	${}$	-3	3*t^2.228 + 2*t^2.443 + t^2.659 + 2*t^2.874 + t^3.557 + t^4.24 + 8*t^4.455 + 6*t^4.671 + 6*t^4.886 + 8*t^5.102 + t^5.138 + 3*t^5.317 + 2*t^5.533 + 3*t^5.748 + 3*t^5.784 - 3*t^6. - t^6.216 + t^6.431 + 3*t^6.467 - 2*t^6.647 + 15*t^6.683 + 14*t^6.898 + 15*t^7.114 + 20*t^7.329 + 3*t^7.365 + 11*t^7.545 + t^7.581 + 10*t^7.76 + 12*t^7.976 + 4*t^8.012 + 5*t^8.192 - 13*t^8.228 + 3*t^8.407 - 10*t^8.443 + 4*t^8.623 - 4*t^8.659 + 7*t^8.695 - 14*t^8.874 + 23*t^8.91 - t^4.329/y - (3*t^6.557)/y - t^6.772/y - t^6.988/y - (2*t^7.204)/y + (5*t^7.455)/y + (7*t^7.671)/y + (5*t^7.886)/y + (11*t^8.102)/y + (4*t^8.317)/y + (2*t^8.533)/y + t^8.748/y - (3*t^8.784)/y - t^4.329*y - 3*t^6.557*y - t^6.772*y - t^6.988*y - 2*t^7.204*y + 5*t^7.455*y + 7*t^7.671*y + 5*t^7.886*y + 11*t^8.102*y + 4*t^8.317*y + 2*t^8.533*y + t^8.748*y - 3*t^8.784*y	3*g1^8*t^2.228 + (2*t^2.443)/g1^2 + t^2.659/g1^12 + (2*t^2.874)/g1^22 + g1^2*t^3.557 + g1^26*t^4.24 + 8*g1^16*t^4.455 + 6*g1^6*t^4.671 + (6*t^4.886)/g1^4 + (8*t^5.102)/g1^14 + g1^40*t^5.138 + (3*t^5.317)/g1^24 + (2*t^5.533)/g1^34 + (3*t^5.748)/g1^44 + 3*g1^10*t^5.784 - 3*t^6. - t^6.216/g1^10 + t^6.431/g1^20 + 3*g1^34*t^6.467 - (2*t^6.647)/g1^30 + 15*g1^24*t^6.683 + 14*g1^14*t^6.898 + 15*g1^4*t^7.114 + (20*t^7.329)/g1^6 + 3*g1^48*t^7.365 + (11*t^7.545)/g1^16 + g1^38*t^7.581 + (10*t^7.76)/g1^26 + (12*t^7.976)/g1^36 + 4*g1^18*t^8.012 + (5*t^8.192)/g1^46 - 13*g1^8*t^8.228 + (3*t^8.407)/g1^56 - (10*t^8.443)/g1^2 + (4*t^8.623)/g1^66 - (4*t^8.659)/g1^12 + 7*g1^42*t^8.695 - (14*t^8.874)/g1^22 + 23*g1^32*t^8.91 - t^4.329/(g1^6*y) - (3*g1^2*t^6.557)/y - t^6.772/(g1^8*y) - t^6.988/(g1^18*y) - (2*t^7.204)/(g1^28*y) + (5*g1^16*t^7.455)/y + (7*g1^6*t^7.671)/y + (5*t^7.886)/(g1^4*y) + (11*t^8.102)/(g1^14*y) + (4*t^8.317)/(g1^24*y) + (2*t^8.533)/(g1^34*y) + t^8.748/(g1^44*y) - (3*g1^10*t^8.784)/y - (t^4.329*y)/g1^6 - 3*g1^2*t^6.557*y - (t^6.772*y)/g1^8 - (t^6.988*y)/g1^18 - (2*t^7.204*y)/g1^28 + 5*g1^16*t^7.455*y + 7*g1^6*t^7.671*y + (5*t^7.886*y)/g1^4 + (11*t^8.102*y)/g1^14 + (4*t^8.317*y)/g1^24 + (2*t^8.533*y)/g1^34 + (t^8.748*y)/g1^44 - 3*g1^10*t^8.784*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
6413	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{9}$	0.7176	0.9228	0.7777	[M:[1.0071, 0.8188, 1.0071, 0.8188, 1.1812, 0.7247, 0.7247, 0.7247, 0.9929], q:[0.5835, 0.4094], qb:[0.4094, 0.7718], phi:[0.4565]]	3*t^2.174 + 2*t^2.456 + t^2.739 + t^2.979 + t^3.021 + t^3.544 + t^4.066 + 8*t^4.348 + 6*t^4.631 + t^4.87 + 6*t^4.913 + 3*t^5.153 + 5*t^5.195 + 2*t^5.435 + t^5.478 + 4*t^5.718 + t^5.76 + t^5.957 - 2*t^6. - t^4.369/y - t^4.369*y	detail	{a: 4258595/5934096, c: 2737993/2967048, M1: 1840/1827, M2: 1496/1827, M3: 1840/1827, M4: 1496/1827, M5: 2158/1827, M6: 1324/1827, M7: 1324/1827, M8: 1324/1827, M9: 1814/1827, q1: 1066/1827, q2: 748/1827, qb1: 748/1827, qb2: 470/609, phi1: 278/609}

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
2645	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.7	0.8875	0.7887	[M:[0.9506, 0.8137, 0.9506, 0.8137, 1.1863, 0.7452, 0.7452], q:[0.6426, 0.4068], qb:[0.4068, 0.7795], phi:[0.4411]]	2*t^2.236 + 2*t^2.441 + t^2.646 + 2*t^2.852 + t^3.559 + t^3.764 + t^4.266 + 5*t^4.471 + 4*t^4.677 + 5*t^4.882 + 6*t^5.087 + t^5.179 + 3*t^5.293 + 2*t^5.498 + 3*t^5.704 + 2*t^5.795 - t^6. - t^4.323/y - t^4.323*y	detail