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
56905	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$	0.6916	0.8693	0.7956	[M:[1.157, 1.0001, 0.843, 0.752, 0.909, 0.719, 0.843, 1.124], q:[0.376, 0.467], qb:[0.624, 0.781], phi:[0.438]]	[M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -15], [1, -5], [-1, 7], [0, 4]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$	${}M_{2}^{2}$	-2	t^2.157 + t^2.256 + 2*t^2.529 + t^2.727 + t^3. + t^3.372 + t^3.57 + t^4.116 + t^4.215 + 2*t^4.314 + t^4.413 + t^4.512 + t^4.587 + 2*t^4.686 + 2*t^4.785 + t^4.884 + t^4.983 + 4*t^5.058 + t^5.157 + 2*t^5.256 + t^5.454 + 2*t^5.529 + t^5.628 + t^5.727 + t^5.826 + 2*t^5.901 - 2*t^6. + 2*t^6.099 + t^6.297 + 2*t^6.372 + t^6.471 + 2*t^6.57 + 2*t^6.645 + t^6.669 + 2*t^6.744 + t^6.768 + 3*t^6.843 + 2*t^6.942 + 3*t^7.041 + 2*t^7.116 + 2*t^7.14 + 3*t^7.215 + t^7.239 + 4*t^7.314 + 2*t^7.413 + 2*t^7.512 + 5*t^7.587 + t^7.611 + 2*t^7.686 + t^7.71 + 3*t^7.785 + 3*t^7.884 + 2*t^7.983 + t^8.058 + t^8.082 - t^8.157 + t^8.181 + t^8.233 - t^8.256 + 2*t^8.355 + 3*t^8.43 + t^8.454 - 4*t^8.529 + t^8.553 + 5*t^8.628 + t^8.703 - t^8.727 + 3*t^8.826 + 2*t^8.901 + t^8.925 - t^4.314/y - t^6.471/y - t^6.57/y - t^6.843/y - t^7.041/y + t^7.413/y + t^7.587/y + (2*t^7.686)/y + (3*t^7.785)/y + t^7.884/y + t^7.983/y + (2*t^8.058)/y + (2*t^8.157)/y + (3*t^8.256)/y + (3*t^8.529)/y + t^8.727/y + (2*t^8.901)/y - t^4.314*y - t^6.471*y - t^6.57*y - t^6.843*y - t^7.041*y + t^7.413*y + t^7.587*y + 2*t^7.686*y + 3*t^7.785*y + t^7.884*y + t^7.983*y + 2*t^8.058*y + 2*t^8.157*y + 3*t^8.256*y + 3*t^8.529*y + t^8.727*y + 2*t^8.901*y	(g1*t^2.157)/g2^5 + (g1^2*t^2.256)/g2^16 + (2*g2^7*t^2.529)/g1 + (g1*t^2.727)/g2^15 + (g2^8*t^3.)/g1^2 + g2^4*t^3.372 + (g1^2*t^3.57)/g2^18 + (g2^28*t^4.116)/g1^4 + g1*g2*t^4.215 + (2*g1^2*t^4.314)/g2^10 + (g1^3*t^4.413)/g2^21 + (g1^4*t^4.512)/g2^32 + (g2^13*t^4.587)/g1 + 2*g2^2*t^4.686 + (2*g1*t^4.785)/g2^9 + (g1^2*t^4.884)/g2^20 + (g1^3*t^4.983)/g2^31 + (g1^2*t^5.058)/g2^2 + (3*g2^14*t^5.058)/g1^2 + (g2^3*t^5.157)/g1 + (2*t^5.256)/g2^8 + (g1^2*t^5.454)/g2^30 + (g1*t^5.529)/g2 + (g2^15*t^5.529)/g1^3 + (g1^2*t^5.628)/g2^12 + t^5.727/(g1*g2^7) + (g1^4*t^5.826)/g2^34 + (2*g2^11*t^5.901)/g1 - 3*t^6. + (g2^16*t^6.)/g1^4 + (2*g1*t^6.099)/g2^11 + (g1^3*t^6.297)/g2^33 + (g1^2*t^6.372)/g2^4 + (g2^12*t^6.372)/g1^2 + (2*g1^3*t^6.471)/g2^15 - (g2*t^6.471)/g1 + (2*g1^4*t^6.57)/g2^26 + (2*g2^35*t^6.645)/g1^5 + (g1^5*t^6.669)/g2^37 + 2*g2^8*t^6.744 + (g1^6*t^6.768)/g2^48 + (3*g1*t^6.843)/g2^3 + (2*g1^2*t^6.942)/g2^14 + (3*g1^3*t^7.041)/g2^25 + (g2^20*t^7.116)/g1^2 + (g2^36*t^7.116)/g1^6 + (2*g1^4*t^7.14)/g2^36 + (g1^3*t^7.215)/g2^7 + (2*g2^9*t^7.215)/g1 + (g1^5*t^7.239)/g2^47 + (g1^4*t^7.314)/g2^18 + (3*t^7.314)/g2^2 + (2*g1*t^7.413)/g2^13 + (2*g1^2*t^7.512)/g2^24 + 2*g1*g2^5*t^7.587 + (3*g2^21*t^7.587)/g1^3 + (g1^3*t^7.611)/g2^35 + (g1^2*t^7.686)/g2^6 + (g2^10*t^7.686)/g1^2 + (g1^4*t^7.71)/g2^46 + (g1^3*t^7.785)/g2^17 + (2*t^7.785)/(g1*g2) + (2*g1^4*t^7.884)/g2^28 + t^7.884/g2^12 + (2*g1*t^7.983)/g2^23 + (g2^22*t^8.058)/g1^4 + (g1^6*t^8.082)/g2^50 - (2*g1*t^8.157)/g2^5 + (g2^11*t^8.157)/g1^3 + (g1^3*t^8.181)/g2^45 + (g2^56*t^8.233)/g1^8 + (2*t^8.256)/g1^2 - (3*g1^2*t^8.256)/g2^16 + (2*g1^3*t^8.355)/g2^27 + g1^2*g2^2*t^8.43 + (2*g2^18*t^8.43)/g1^2 + t^8.454/g2^22 + (g1^3*t^8.529)/g2^9 - (6*g2^7*t^8.529)/g1 + (g2^23*t^8.529)/g1^5 + (g1^5*t^8.553)/g2^49 + (3*g1^4*t^8.628)/g2^20 + (2*t^8.628)/g2^4 + (g2^41*t^8.703)/g1^5 + (2*g1^5*t^8.727)/g2^31 - (4*g1*t^8.727)/g2^15 + (g2*t^8.727)/g1^3 + (2*g1^6*t^8.826)/g2^42 + (g1^2*t^8.826)/g2^26 + g1*g2^3*t^8.901 + (g2^19*t^8.901)/g1^3 + (g1^7*t^8.925)/g2^53 - t^4.314/(g2^2*y) - (g1*t^6.471)/(g2^7*y) - (g1^2*t^6.57)/(g2^18*y) - (g2^5*t^6.843)/(g1*y) - (g1*t^7.041)/(g2^17*y) + (g1^2*t^7.314)/(g2^10*y) - (g2^6*t^7.314)/(g1^2*y) + (g1^3*t^7.413)/(g2^21*y) + (g2^13*t^7.587)/(g1*y) + (2*g2^2*t^7.686)/y + (3*g1*t^7.785)/(g2^9*y) + (g1^2*t^7.884)/(g2^20*y) + (g1^3*t^7.983)/(g2^31*y) + (2*g2^14*t^8.058)/(g1^2*y) + (2*g2^3*t^8.157)/(g1*y) + (3*t^8.256)/(g2^8*y) + (g1*t^8.529)/(g2*y) + (2*g2^15*t^8.529)/(g1^3*y) + t^8.727/(g1*g2^7*y) + (2*g2^11*t^8.901)/(g1*y) - (t^4.314*y)/g2^2 - (g1*t^6.471*y)/g2^7 - (g1^2*t^6.57*y)/g2^18 - (g2^5*t^6.843*y)/g1 - (g1*t^7.041*y)/g2^17 + (g1^2*t^7.314*y)/g2^10 - (g2^6*t^7.314*y)/g1^2 + (g1^3*t^7.413*y)/g2^21 + (g2^13*t^7.587*y)/g1 + 2*g2^2*t^7.686*y + (3*g1*t^7.785*y)/g2^9 + (g1^2*t^7.884*y)/g2^20 + (g1^3*t^7.983*y)/g2^31 + (2*g2^14*t^8.058*y)/g1^2 + (2*g2^3*t^8.157*y)/g1 + (3*t^8.256*y)/g2^8 + (g1*t^8.529*y)/g2 + (2*g2^15*t^8.529*y)/g1^3 + (t^8.727*y)/(g1*g2^7) + (2*g2^11*t^8.901*y)/g1

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
58884	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{4}M_{9}$	0.673	0.8358	0.8052	[M:[1.1645, 0.9924, 0.8355, 0.7696, 0.9265, 0.724, 0.8355, 1.119, 1.2304], q:[0.3848, 0.4507], qb:[0.6228, 0.7798], phi:[0.4405]]	t^2.172 + 2*t^2.506 + t^2.779 + t^2.977 + t^3.357 + t^3.63 + t^3.691 + t^4.026 + t^4.208 + 2*t^4.344 + t^4.542 + 2*t^4.679 + t^4.952 + 3*t^5.013 + t^5.058 + t^5.149 + t^5.286 + t^5.484 + t^5.529 + t^5.559 + t^5.757 + 3*t^5.863 + t^5.954 - 3*t^6. - t^4.321/y - t^4.321*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
55252	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{7}$	0.7032	0.8896	0.7905	[M:[1.1567, 0.9794, 0.8433, 0.7444, 0.8806, 0.7258, 0.8433], q:[0.3722, 0.4711], qb:[0.6484, 0.7845], phi:[0.431]]	t^2.177 + t^2.233 + 2*t^2.53 + t^2.586 + t^2.642 + t^2.938 + t^3.526 + t^4.119 + t^4.299 + 2*t^4.355 + t^4.411 + t^4.467 + t^4.651 + 2*t^4.707 + 3*t^4.763 + 2*t^4.819 + t^4.875 + 3*t^5.06 + 3*t^5.116 + 3*t^5.172 + t^5.183 + t^5.228 + t^5.283 + t^5.468 + t^5.524 + t^5.58 + t^5.759 + t^5.877 - 3*t^6. - t^4.293/y - t^4.293*y	detail